praxis
LEARNiNqExpRESS I An EBSCO Company
► PRACTICE: 6 full-length practice exams for each test section
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stress, and study effectively
► SUCCEED: Achieve your target test
score and begin your teaching career!
IT'S LIKE HAVING THE
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®
N E W Y O R K
PRAXIS® CORE
POWER PRACTICE (5712, 5722, 5732)
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CONTENTS
CHAPTER 1 About the Praxis® Core Academic Skills for Educators Tests 1 States Using the Praxis Series of Tests 2
What Is Covered on the Praxis Core Tests? 2
Reading 3
Writing 4
Mathematics 5
The Computer-Delivered Test 6
Scoring 6
Retaking the Tests 7
What to Bring to the Test 7
How Do I Register? 7
Special Arrangements 8
Nonstandard Testing Accommodations 8
Where Do I Begin? 9
CHAPTER 2 The LearningExpress Test Preparation System 11 How It Works 12
Step 1: Get Information 12
Step 2: Conquer Test Anxiety 13
Step 3: Make a Plan 15
Step 4: Learn to Manage Your Time 15
Step 5: Learn to Use the Process of Elimination 16
Step 6: Know When to Guess 16
Step 7: Reach Your Peak Performance Zone 20
Step 8: Get Your Act Together 21
Step 9: Do It! 21
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– –CONTENTS
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CHAPTER 3 Praxis® Core Academic Skills for Educators: Practice Test 1 23 Praxis® Core Academic Skills for Educators: Reading Practice Test 1 24
Praxis® Core Academic Skills for Educators: Reading Practice Test 1
Answers and Explanations 40
Praxis® Core Academic Skills for Educators: Writing Practice Test 1 50
Part IIa: Argumentative Essay 58
Part IIb: Source-Based Essay 67
Praxis® Core Academic Skills for Educators: Writing Practice Test 1
Answers and Explanations 78
Sample Responses for the Argumentative Essay 81
Sample Responses for the Source-Based Essay 84
Praxis® Core Academic Skills for Educators: Mathematics Practice Test 1 88
Praxis® Core Academic Skills for Educators: Mathematics Practice Test 1
Answers and Explanations 99
CHAPTER 4 Praxis® Core Academic Skills for Educators: Practice Test 2 113 Praxis® Core Academic Skills for Educators: Reading Practice Test 2 114
Praxis® Core Academic Skills for Educators: Reading Practice Test 2
Answers and Explanations 129
Praxis® Core Academic Skills for Educators: Writing Practice Test 2 140
Part IIa: Argumentative Essay 149
Part IIb: Source-Based Essay 157
Praxis® Core Academic Skills for Educators: Writing Practice Test 2
Answers and Explanations 167
Sample Responses for the Argumentative Essay 170
Sample Responses for the Source-Based Essay 173
Praxis® Core Academic Skills for Educators: Mathematics Practice Test 2 177
Praxis® Core Academic Skills for Educators: Mathematics Practice Test 2
Answers and Explanations 186
CHAPTER 5 Praxis® Core Academic Skills for Educators: Practice Test 3 193 Praxis® Core Academic Skills for Educators: Reading Practice Test 3 194
Praxis® Core Academic Skills for Educators: Reading Practice Test 3
Answers and Explanations 209
Praxis® Core Academic Skills for Educators: Writing Practice Test 3 220
Part IIa: Argumentative Essay 227
Part IIb: Source-Based Essay 236
Praxis® Core Academic Skills for Educators: Writing Practice Test 3
Answers and Explanations 247
Sample Responses for the Argumentative Essay 253
Sample Responses for the Source-Based Essay 258
Praxis® Core Academic Skills for Educators: Mathematics Practice Test 3 262
Praxis® Core Academic Skills for Educators: Mathematics Practice Test 3
Answers and Explanations 275
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– –CONTENTS
CHAPTER 6 Praxis® Core Academic Skills for Educators: Practice Test 4 287 Praxis® Core Academic Skills for Educators: Reading Practice Test 4 288
Praxis® Core Academic Skills for Educators: Reading Practice Test 4
Answers and Explanations 303
Praxis® Core Academic Skills for Educators: Writing Practice Test 4 311
Part IIa: Argumentative Essay 320
Part IIb: Source-Based Essay 327
Praxis® Core Academic Skills for Educators: Writing Practice Test 4
Answers and Explanations 336
Sample Responses for the Argumentative Essay 341
Sample Responses for the Source-Based Essay 346
Praxis® Core Academic Skills for Educators: Mathematics Practice Test 4 350
Praxis® Core Academic Skills for Educators: Mathematics Practice Test 4
Answers and Explanations 362
A NOTE ON SCORING 375
ADDITIONAL ONLINE PRACTICE 377
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ABOUT THE
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1 PRAXIS® CORE ACADEMIC SKILLS FOR EDUCATORS TESTS CHAPTER SUMMARY This chapter familiarizes you with the series of Praxis® Core Academic Skills for Educators tests, which are administered by the Educational Testing Service. You will learn the components of all three Core exams, how to register for the exams, how they are scored, and all about the computer-based testing format.
Welcome to your comprehensive review for the Praxis Core Academic Skills for Educators tests! This series of computer-based mathematics, reading, and writing exams tests your knowledge in these core subjects, and assesses your readiness to enter teacher education programs. As the name suggests, the content tested on these exams aligns with the Common Core State Standards.
This book offers complete review, practice, and preparation for the three Core exams:
Core Academic Skills for Educators: Reading (5712)
Core Academic Skills for Educators: Writing (5722)
Core Academic Skills for Educators: Mathematics (5732)
Inside you will fnd four practice exams to assess your skill levels, to test what you have learned, and to deter-
mine where you need more practice. At the end of the book, you will also fnd a link to an instantly scored
online practice exam.
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– –ABOUT THE PRAXIS® CORE ACADEMIC SKILLS FOR EDUCATORS TESTS
passing. Information regarding specifc state or orga-
nization requirements may change from time to time.
For accurate, up-to-date information, refer to the
offcial Praxis website at www.ets.org/praxis/about/
core/ and your state’s education department.
States Using the Praxis Series of Tests
Each state sets its own requirement for which tests
you must take and what score will be accepted as
this book. Use it faithfully, and remind yourself thatIMPORTANT CONTACT INFORMATION
ETS—The Praxis Series Website: www.ets.org/praxis Phone: 609-771-7395, M–F 8 A.M. to 7:45 P.M. (EST) (except for U.S. holidays) Phone for the Hearing Impaired: 609-771-7714 E-mail directly through the website at www.ets.org/praxis/contact
Before you begin your review, let’s take a closer look at the Praxis Core exams.
What Is Covered on the Praxis Core Tests?
The Praxis Core tests are designed to see whether you have the academic skills to be an effective teacher. Each
tests your basic skills in either Reading, Mathematics, or Writing.
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Praxis Core at a Glance
TEST CODE
NUMBER OF QUESTIONS CORE TEST QUESTION TYPES TIME ALLOWED
Reading 5712 56 Multiple-choice 85 minutes
Writing 5722 40 + 2 • 40 multiple-choice + two essays 40 minutes for multiple- choice questions; 30 minutes for each essay
• Multiple-choice: some ask you to select one answer choice; some ask you to select one or more.
• Numeric entry: no choices; type in your own answer.
Mathematics 5732 56 85 minutes
As you can see, most of the questions on the
Praxis Core tests, with the exception of the essay por-
tion of the Writing test, are in multiple-choice for-
mat. The Mathematics test also features numeric
entry questions, where you supply an answer without
being given any choices. Each multiple-choice ques-
tion has fve answer choices and is worth one point.
Because test scoring is based only on the number of
items answered correctly, you are not penalized for
incorrect answers on the Praxis Core tests—so be
sure to fll in all the answer blanks rather than leaving
diffcult questions unanswered. Even a guess is better
than leaving an answer blank!
Let’s look at each test.
Reading
The Praxis Core Academic Skills for Educators: Read-
ing test measures your ability to comprehend, ana-
lyze, and evaluate written information. The skills tested
on the exam align with the Common Core State Stan-
dards for Reading, and emphasize the skills needed to
thrive in a teacher preparation program.
You will be asked to read a number of passages
(which may vary in length from a few sentences to
100 to 200 words) and then answer questions accom-
panying each that test your ability to comprehend
what you have read. The genre and reading levels of
the passages will vary. You will be tested only on your
ability to understand and analyze the selection; you
will not be required to have specifc knowledge about
the topics discussed in the passages.
You will have 85 minutes to read all the passages
and answer the 56 multiple-choice questions on this
exam. Here is a breakdown of the question types on
the Praxis Core Reading test.
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QUESTION TYPE NUMBER OF QUESTIONS PERCENTAGE OF TEST
Key Ideas and Details 17–22 35%
Craft, Structure, and Language Skills 14–19 30%
Integration of Knowledge and Ideas 17–22 35%
Writing
The Praxis Core Academic Skills for Educators: Writ-
ing test is divided into two sections:
1. The frst section consists of multiple-choice
questions that require you to fnd and/or cor-
rect errors in standard English.
2. The second part asks you to write two 30-
minute essays: an argumentative essay and a
source-based essay.
The skills tested align with the Common Core State
Standards for Writing. The multiple-choice section of
the writing test is designed to measure your ability to
use standard English correctly and effectively, and is
divided into four parts: usage, sentence correction,
revision in context, and research skills.
Usage questions test your knowledge of:
n structural and grammatical relationships
mechanics
idiom or word choice n
Usage questions also test your ability to identify
error-free sentences.
Sentence Correction questions test your ability
to:
select the best way to state a given phrase or
sentence
correct sentences with errors in grammar,
mechanics, idioms, or word choice
Revision-in-Context questions test your skills
in editing a passage to strengthen its word choice,
fow, style, and organization.
Research Skills questions ask you to assess the
credibility of sources, identify parts of a citation, and
recognize parts of a passage that have been pulled
from various sources.
The Essays The essay portion of the Praxis Core Writing test is
designed to evaluate your ability to express ideas
clearly and effectively in standard written English
under time constraints. You will be asked to write two
different types of essays: an Argumentative essay and
an Informative/Explanatory essay.
The Argumentative essay will ask you to draw
from personal experiences and observation to sup-
port a position. To perform well on this essay, you
will need to back up your point of view with exam-
ples—either from something you have read or seen,
from your real life, or from a combination of both.
The Informative/Explanatory essay will begin
with two passages, which you should read before you
begin. You will then be asked to take information
from these two sources to answer a question pre-
sented by the prompt given.
The given topics present situations that are gen-
erally familiar to all educated people and do not
require any specialized knowledge in a particular
feld. Although you will be posing an argument and
drawing conclusions based on examples from per-
sonal experience or observation, you will not be
graded on your opinion—you will be scored only on
how effectively you are able to get across your ideas.
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You will have 40 minutes to answer the 40 mul-
tiple-choice questions on this exam, and 30 minutes
for each essay.
Mathematics
The Praxis Core Academic Skills for Educators: Math-
ematics test measures your profciency in math. Gen-
erally speaking, the test requires a competency at the
high school or frst-year college level. All the skills
tested on the exam align with the Common Core
State Standards for Mathematics. Here are the four
main math content areas that will be tested:
Numbers and Operations order
equivalence
numeration and place value
number properties
operation properties
computation
estimation
ratio, proportion, and percent
numerical reasoning
Algebra and Functions equations and inequalities
algorithmic thinking
patterns
algebraic representations
algebraic reasoning
Geometry and Measurement geometric properties
the xy-coordinate plane
geometric reasoning
systems of measurement
Statistics and Probability data interpretation
data representation
trends and inferences
measures of center and spread
probability
You will have 85 minutes to answer the 56
multiple-choice (one-answer and multiple-answer)
and numeric entry questions on this exam. Here is a
breakdown of the question types on the Praxis Core
Mathematics test.
QUESTION TYPE NUMBER OF QUESTIONS PERCENTAGE OF TEST
Numbers and Operations 17 30%
Algebra and Functions 17 30%
Geometry and Measurement 11 20%
Statistics and Probability 11 20%
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CALCULATORS ON THE PRAXIS® CORE Please note: You will have access to an on-screen calculator for the duration of the Praxis Core Academic Skills for Educators: Mathematics test. Note that no other calculator use is allowed—you will not be able to bring a calculator from home. The calculator provided is simple and has four functions (+, –, ×, ÷).
The Computer-Delivered Test
Praxis Core Academic Skills for Educators tests are
administered as computer-delivered tests in more
than 300 locations throughout the United States.
They are given frequently. You don’t have to know
much about computers to take these computer-based
tests—each one begins with a tutorial on the use of
the computer. You are encouraged to spend as much
time as needed on the tutorial.
With the exception of the essay portion of the
writing test and numeric entry mathematics ques-
tions, all questions are in multiple-choice format. The
questions are presented on the computer screen, and
you choose your answers by clicking in the oval next
to the correct choice or choices (for multiple-answer
math questions). For numeric entry questions, you
will be asked to type your answer into the box or
boxes provided.
The tests now have a special mark function,
which allows you to mark a question that you would
like to temporarily skip and come back to at a later
time during the same section on the test. Test takers
will have a review screen to see whether a question
has been answered, not seen yet, or marked.
For the two essay questions, you will type your
essay directly onto the screen in the space provided. If
you are not comfortable with your typing skills, prac-
tice them in addition to making your way through
this book. The 30 minutes provided for each essay
cover your brainstorming, prep work, and typing in
the essay.
These computer-based tests are designed to
ensure fairness, because each test taker receives
the same distribution of content.
the same amount of testing time.
the same test directions.
the same tutorials on computer use.
Scoring
Your offcial score report will be available online about
two to three weeks after your test date. Your score
report will also be sent to the recipients (for example,
schools) you designated on your registration form.
The report shows a separate test score for each
Praxis subject that you take. Reading and math test
scores are based on the number of items answered
correctly. There is no penalty for answering a ques-
tion incorrectly. The writing test score is based on the
number of multiple-choice questions answered cor-
rectly combined with the essay score, which is scored
on a scale of 1 to 6.
Your score report will show your score, whether
you passed, the raw points earned in each content
category, and the range of possible scores. If you took
any test previously within the past ten years, it will
also show your highest scores on each test.
Can I Cancel My Scores? These computer-based tests give you the option to
cancel your scores at the end of your test session
before viewing the scores (once you have viewed your
computerized scores, you cannot cancel them). All
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score cancellations are permanent, and refunds are
not given.
Passing Scores Each state or institution determines its own passing
score. The frst thing you will want to do with your
scores is to compare them to the passing scores set by
your state. Along with your test scores, you will
receive the Understanding Your Praxis Scores booklet
that gives the passing scores for each state. The Praxis
Series website (www.ets.org/praxis/states) also has a
complete state-by-state listing of required tests and
passing scores.
Retaking the Tests
If you don’t pass one or more Praxis Core tests, you
will be allowed to take them again. How many times
or how often you may retake each test is determined
by the policies of individual states or institutions. The
ETS does mandate that you may take each of these
tests only once per 30-day period and no more than
six times in one year. Individual states may have fur-
ther restrictions. Consult your scores from previous
tests to see which areas require more study, so that
you will pass the tests the next time you take them.
REMINDER Again, you may take the test only once a month, and no more than six times over the course of a year. This even applies to situa- tions where you may have canceled your scores. If you violate this rule, your retest scores will not be reported, and your fees will not be refunded.
What to Bring to the Test
You will need your photo identifcation and your
admission ticket. You may not bring calculators, cell
phones, smartphones or any other electronic devices,
pencils or pens, books, bags, scratch paper, or other
people into the test room with you. The test adminis-
trator will designate an area where you may keep your
personal belongings during the test.
On test day, allow plenty of time in the morning
to get to your test location, especially if you are unfa-
miliar with the area where the test is given. You
should arrive at least 30 minutes before your test to
sign in, present your identifcation, and get yourself
settled.
How Do I Register?
Usually you will need to register at least four weeks
prior to the test date.
To register by mail, you must download and
complete the appropriate Praxis Registration Form.
Find all updated fees for your Praxis Core exams at
www.ets.org/praxis/about/fees.
At least one week before your test date, you will
receive a testing admission ticket by mail, which you
will need to bring for entrance into the test. If you do
not receive your ticket at least one week prior to your
test day or if you lose it, or if there is an error on your
ticket, contact ETS immediately.
You can also register online at www.ets.org/
praxis. To register online, you will need a valid e-mail
address, mailing address, and phone number. Order
confrmations and test admission tickets will be
e-mailed to your e-mail address—you will not be sent
a paper admission ticket by postal mail when you reg-
ister online. Print out the ticket provided for you
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online. Online registration is available only to those
not needing special accommodations such as consid-
erations for disabilities or Monday testing.
If you have previously created a Praxis account
online, you can register by phone with a credit card.
There will be a nonrefundable $35 surcharge for the
transaction, in addition to the standard registration
and test fees. To register by phone, call 800-772-9476,
8 A.M. to 7:45 P.M. (EST), Monday through Friday.
Emergency Registration Those trying to register for a desired test date after
the regular and late registration deadlines may still be
able to take the test on that date by using the emer-
gency registration service for an additional fee. This
service guarantees a seat at a test center. Emergency
registration is not available for individuals needing
special accommodations.
To Cancel or Reschedule Your Test If you are absent the day of the test or arrive too
late to take the test, you are not eligible for a refund.
You may cancel or reschedule a test by logging into
your Praxis account online or calling ETS at
1-800-772-9476.
You are eligible to receive a refund of 50% of
your test fees if the change is received by ETS at
least three days prior to the test date. Special service
fees are nonrefundable. Registration deadlines are
updated and posted on the website. Refunds are
mailed approximately four to six weeks after receipt
of your request. If you used a credit card to make a
payment, the refund will be credited to your credit
card account.
Special Arrangements
Special arrangements may be available for individuals
with documented disabilities or for test takers whose
primary language is not English (PLNE). Monday test
dates are available to those who cannot take the test
on a Saturday test date due to religious convictions or
military orders. These accommodations may vary
from state to state. You should contact the ETS long
before the test date to make inquiries.
Nonstandard Testing Accommodations
If you have a documented disability, you may be able
to receive nonstandard testing accommodations for
the tests. Among a list of accommodations, you may
qualify for
extended test time.
a test reader.
a separate location.
a Braille test.
someone to record your answers.
Online, you will fnd the Bulletin Supplement for Test
Takers with Disabilities or Health-Related Needs,
which contains contact information, registration pro-
cedures, and special registration forms.
If you are requesting accommodations, you
must register by mail. At least six weeks before the
registration date, send your completed requests for
testing accommodations to:
ETS Disability Services
P.O. Box 6054
Princeton, NJ 08541-6054
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Where Do I Begin?
You have already taken the frst step by reading this
chapter and familiarizing yourself with the Praxis
Series of tests. Perhaps you have even started research-
ing to see which tests you need to take, when the tests
are offered, and where you would like to take them.
Now you should begin your study program: Start
with “The LearningExpress Test Preparation System”
(Chapter 2). This exclusive system gives you valuable
test-taking techniques and will help you devise a
study schedule that works best for you. If you stick
with your study plan and concentrate on improving
the areas in which you need help, you are sure to suc-
ceed. Good luck!
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2 THE LEARNING- EXPRESS TEST PREPARATION SYSTEM
CHAPTER SUMMARY The Praxis Series of tests can be challenging. A great deal of preparation is necessary for achieving top scores and advanc- ing your career. The LearningExpress Test Preparation System, developed by leading experts exclusively for LearningExpress, offers strategies for developing the discipline and attitude required for success.
Fact: Taking the Praxis® Core Academic Skills for Educators tests is not easy, and neither is getting ready for them. Your future career as a teacher depends on getting a passing score, but an assortment of pitfallscan keep you from doing your best. Here are some of the obstacles that can stand in the way of success: being unfamiliar with the exam format
being paralyzed by test anxiety
leaving your preparation to the last minute
not preparing at all!
not knowing vital test-taking skills: how to pace yourself through the exams, how to use the process of
elimination, and when to guess
not being in tip-top mental and physical shape
messing up on test day by arriving late at the test site, having to work on an empty stomach, or feeling
uncomfortable during the exams because the room is too hot or cold
What’s the common denominator in all these test-taking pitfalls? One word: control. Who’s in control, you or
the exam?
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Here’s some good news: The LearningExpress
Test Preparation System puts you in control. In nine
easy-to-follow steps, you will learn everything you
need to know to make sure that you are in charge of
your preparation and your performance on the
exams. Other test takers may let the tests get the bet-
ter of them; other test takers may be unprepared or
out of shape, but not you. You will have taken all the
steps you need to take to get a high score on the Praxis
Core Academic Skills for Educators tests.
How It Works
Nine easy steps lead you through everything you need
to know and do to get ready to master your exams.
Each of the following steps includes both reading
about the step and one or more activities. It’s impor-
tant that you do the activities along with the reading,
or you won’t be getting the full beneft of the system.
Step 1: Get Information 50 minutes
Step 2: Conquer Test Anxiety 20 minutes
Step 3: Make a Plan 30 minutes
Step 4: Learn to Manage Your Time 10 minutes
Step 5: Learn to Use the Process of
Elimination 20 minutes
Step 6: Know When to Guess 20 minutes
Step 7: Reach Your Peak Perfor-
mance Zone 10 minutes
Step 8: Get Your Act Together 10 minutes
Step 9: Do It! 10 minutes
Total 3 hours
We estimate that working through the entire
system will take you approximately three hours,
although it’s perfectly okay if you work faster or
slower. If you set aside an afternoon or evening, you
can work through the whole LearningExpress Test
Preparation System in one sitting. Otherwise, you can
break it up, and do just one or two steps a day for the
next several days. It’s up to you—remember, you are
in control.
Step 1: Get Information
Time to complete: 50 minutes
Activity: Read Chapter 1, “About the Praxis® Core
Academic Skills for Educators Tests.”
Knowledge is power. The frst step in the Learning-
Express Test Preparation System is fnding out every-
thing you can about the Praxis Core tests. Once you
have your information, the next steps in the Learning-
Express Test Preparation System will show you what
to do about it.
Part A: Straight Talk about the Praxis Core Tests Why do you have to take rigorous exams, anyway? It’s
simply an attempt to be sure you have the knowledge
and skills necessary to be a teacher.
It’s important for you to remember that your
scores on the Praxis tests do not determine how smart
you are, or even whether you will make a good
teacher. There are all kinds of things exams like these
can’t test, such as whether you have the drive, deter-
mination, and dedication to be a teacher. Those kinds
of traits are hard to evaluate, whereas a test is easy to
evaluate.
This is not to say that the exams are not impor-
tant! The knowledge tested on the exams is knowl-
edge you will need to do your job. And your ability to
enter the profession you’ve trained for depends on
passing. And that’s why you are here—using the
LearningExpress Test Preparation System to achieve
control over the exams.
Part B: What’s on the Tests If you haven’t already done so, stop here and read
Chapter 1, which gives you an overview of the Praxis
Core series of tests. Then, go online and read the
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most up-to-date information about your exam
directly from the test developers at www.ets.org/
praxis.
Step 2: Conquer Test Anxiety
Time to complete: 20 minutes
Activity: Take the “Test Anxiety Test.”
Having complete information about the exams is the
frst step in getting control over them. Next, you have
to overcome one of the biggest obstacles to test suc-
cess: test anxiety. Test anxiety not only impairs your
performance on the exams, but also keeps you from
preparing. In Step 2, you will learn stress manage-
ment techniques that will help you succeed. Learn
these strategies now, and practice them as you work
through the exams so that they will be second nature
to you by exam day.
Combating Test Anxiety The frst thing you need to know is that a little test
anxiety is a good thing. Everyone gets nervous before
a big exam—and if that nervousness motivates you to
prepare thoroughly, so much the better. It’s said that
Sir Laurence Olivier, one of the foremost British
actors of the twentieth century, felt ill before every
performance. His stage fright didn’t impair his per-
formance; in fact, it probably gave him a little extra
edge—just the kind of edge you need to do well,
whether on a stage or on an examination.
The Test Anxiety Test follows on page 14. Stop
and answer the questions to fnd out whether your
level of test anxiety is something you should worry
about.
Stress Management Before a Test If you feel your level of anxiety getting the best of you
in the weeks before a test, here is what you need to do
to bring the level down again:
Get prepared. There’s nothing like knowing what
to expect and being prepared for it to put you in
control of test anxiety. That’s why you are reading
this book. Use it faithfully, and remind yourself
that you are better prepared than most of the
other people taking the test.
Practice self-confdence. A positive attitude is a
great way to combat test anxiety. This is no time
to be humble or shy. Stand in front of the mirror
and say to your refection, “I am prepared. I am
full of self-confdence. I am going to ace this test.
I know I can do it.” Record it and play it back
once a day. If you hear it often enough, you will
believe it.
Fight negative messages. Every time someone
starts telling you how hard the exam is or how it’s
almost impossible to get a high score, tune the
person out or ask him or her to not speak nega-
tively around you. Don’t listen to the negative
messages. Turn on your recorder and listen to
your self-confdence messages.
Visualize. Imagine yourself reporting for duty on
your frst day as a teacher or in your teacher
training program. Visualizing success can help
make it happen—and it reminds you of why you
are doing all this work preparing for the exam.
Exercise. Physical activity helps calm your body
down and focus your mind. Besides, being in
good physical shape can actually help you do well
on the exam. Go for a run, lift weights, go swim-
ming—and do it regularly.
Stress Management on Test Day There are several ways you can bring down your level
of anxiety on test day. They will work best if you
practice them in the weeks before the test so that you
know which ones work best for you.
Practice deep breathing. Take a deep breath
while you count to fve. Hold it for a count of
one, then let it out on a count of fve. Repeat sev-
eral times.
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TEST ANXIETY TEST
You need to worry about test anxiety only if it is extreme enough to impair your performance. The follow- ing questionnaire will provide a diagnosis of your level of test anxiety. In the blank before each statement, write the number that most accurately describes your experience.
0 = Never 1 = Once or twice 2 = Sometimes 3 = Often
I have gotten so nervous before an exam that I simply put down the books and didn’t study for it. I have experienced disabling physical symptoms such as vomiting and sever e headaches because I was nervous about an exam. I have simply not shown up for an exam because I was afraid to take it. I have experienced dizziness and disorientation while taking an exam. I have had trouble filling in the little circles because my hands were shaking too hard. I have failed an exam because I was too nervous to complete it. Total: Add up the numbers in the blanks.
Your Test Anxiety Score Here are the steps you should take, depending on your score. If you scored:
Below 3, your level of test anxiety is nothing to worry about; it’s probably just enough to give you that little extra edge.
Between 3 and 6, your test anxiety may be enough to impair your performance, and you should practice the stress management techniques in this section to try to bring your test anxiety down to manageable levels.
Above 6, your level of test anxiety is a serious concern. In addition to practicing the stress management techniques listed in this section, you may want to seek additional, personal help. Call your local high school or community college and ask for the academic counselor. Tell the counselor that you have a level of test anxiety that sometimes keeps you from being able to take an exam. The counselor may be willing to help you or may suggest someone else you should talk to.
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Move your body. Try rolling your head in a circle.
Rotate your shoulders. Shake your hands from
the wrist. Many people fnd these movements
very relaxing.
Visualize again. Think of the place where you are
most relaxed: lying on the beach in the sun, walk-
ing through the park, or wherever. Now close
your eyes and imagine you are actually there. If
you practice in advance, you will fnd that you
only need a few seconds of this exercise to experi-
ence a signifcant increase in your sense of
well-being.
When anxiety threatens to overwhelm you right
there during the exam, there are still things you can
do to manage your stress level:
Repeat your self-confdence messages. You
should have them memorized by now. Say them
quietly to yourself, and believe them!
Visualize one more time. This time, visualize
yourself moving smoothly and quickly through
the test, answering every question right and fn-
ishing just before time is up. Like most visualiza-
tion techniques, this one works best if you have
practiced it ahead of time.
Find an easy question. Find an easy question,
and answer it. Getting even one question fnished
gets you into the test-taking groove.
Take a mental break. Everyone loses concentra-
tion once in a while during a long test. It’s nor-
mal, so you shouldn’t worry about it. Instead,
accept what has happened. Say to yourself, “Hey, I
lost it there for a minute. My brain is taking a
break.” Put down your pencil, close your eyes, and
do some deep breathing for a few seconds. Then
you are ready to go back to work.
Try these techniques ahead of time, and see
whether they work for you!
Step 3: Make a Plan
Time to complete: 30 minutes
Activity: Construct a study plan.
Maybe the most important thing you can do to get
control of yourself and your exams is to make a study
plan. Too many people fail to prepare simply because
they fail to plan. Spending hours on the day before
the exam poring over sample test questions not only
raises your level of test anxiety, but also is simply no
substitute for careful preparation and practice over
time.
Don’t fall into the cram trap. Take control of
your preparation time by mapping out a study
schedule.
Even more important than making a plan is
making a commitment. You have to set aside some
time every day for study and practice. Try for at least
20 minutes a day. Twenty minutes daily will do you
much more good than two hours on Saturday.
Don’t put off your study until the day before the
exam. Start now. A few minutes a day, with half an
hour or more on weekends, can make a big difference
in your score.
Step 4: Learn to Manage Your Time
Time to complete: 10 minutes to read, many hours
of practice!
Activity: Practice these strategies as you take the
sample tests in this book.
Steps 4, 5, and 6 of the LearningExpress Test Prepara-
tion System put you in charge of your exams by
showing you test-taking strategies that work. Practice
these strategies as you take the sample tests, and then
you will be ready to use them on test day.
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First, take control of your time on the exams.
It’s a terrible feeling to know there are only fve min-
utes left when you are only three-quarters of the way
through a test. Here are some tips to keep that from
happening to you:
Follow directions. You should take your time
making your way through the computer tutorial
before the exam. Read the directions carefully and
ask questions before the exam begins if there’s
anything you don’t understand.
Pace yourself. If there is a timer on the screen as
you take the exam, keep an eye on it. This will
help you pace yourself. For example, when one-
quarter of the time has elapsed, you should be a
quarter of the way through the test, and so on. If
you are falling behind, pick up the pace a bit.
Keep moving. Don’t waste time on one question.
If you don’t know the answer, skip the question
and move on. You can always go back to it later.
Don’t rush. Although you should keep moving,
rushing won’t help. Try to keep calm and work
methodically and quickly.
Step 5: Learn to Use the Process of Elimination
Time to complete: 20 minutes
Activity: Complete the “Using the Process of Elimi-
nation” worksheet.
After time management, your next most important
tool for taking control of your exam is using the pro-
cess of elimination wisely. It’s standard test-taking
wisdom that you should always read all the answer
choices before choosing your answer. This helps you
fnd the right answer by eliminating wrong answer
choices. And, sure enough, that standard wisdom
applies to your exam, too.
You should always use the process of elimina-
tion on tough questions, even if the right answer
jumps out at you. Sometimes the answer that jumps
out isn’t right after all. You should always proceed
through the answer choices in order. You can start
with answer choice a, and eliminate any choices that
are clearly incorrect.
Even when you think you are absolutely clueless
about a question, you can often use the process of
elimination to get rid of one answer choice. If so, you
are better prepared to make an educated guess, as you
will see in Step 6. More often, the process of elimina-
tion allows you to get down to only two possibly right
answers. Then you are in a strong position to guess.
And sometimes, even though you don’t know the
right answer, you fnd it simply by getting rid of the
wrong ones.
Try using your powers of elimination on the
questions in the worksheet “Using the Process of
Elimination.” The questions aren’t about teaching;
they’re just designed to show you how the process of
elimination works. The answer explanations for this
worksheet show one possible way that you might use
the process to arrive at the right answer.
The process of elimination is your tool for the
next step, which is knowing when to guess.
Step 6: Know When to Guess
Time to complete: 20 minutes
Activity: Complete the “Your Guessing Ability”
worksheet.
Armed with the process of elimination, you are ready
to take control of one of the big questions in test tak-
ing: Should I guess? The answer is: Yes. Some exams
have what’s called a “guessing penalty,” in which a
fraction of your wrong answers is subtracted from
your right answers—the Praxis Series of tests does
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USING THE PROCESS OF ELIMINATION
Use the process of elimination to answer the following questions.
1. Ilsa is as old as Meghan will be in fve years. The difference between Ed’s age and Meghan’s age is twice the difference between Ilsa’s age and Meghan’s age. Ed is 29. How old is Ilsa? a. b. c. d.
4 10 19 24
2. “All drivers of commercial vehicles must carry a valid commercial driver’s license whenever operating a commercial vehicle.”
According to this sentence, which of the following people need NOT carry a commercial driver’s license? a. a truck driver idling his engine while waiting
to be directed to a loading dock b. a bus operator backing her bus out of the
way of another bus in the bus lot c. a taxi driver driving his personal car to the
grocery store d. a limousine driver taking the limousine to
her home after dropping off her last passenger of the evening
3. Smoking tobacco has been linked to a. increased risk of stroke and heart attack. b. all forms of respiratory disease. c. increasing mortality rates over the past 10
years. d. juvenile delinquency.
4. Which of the following words is spelled correctly? a. incorrigible b. outragous c. domestickated d. understandible
Answers Here are the answers, as well as some suggestions as to how you might have used the process of elimination to fnd them.
1. d. You should have eliminated choice a right off the bat. Ilsa can’t be four years old if Meghan is going to be Ilsa’s age in fve years. The best way to eliminate other answer choices is to try plugging them in to the information given in the problem. For instance, for choice b, if Ilsa is 10, then Meghan must be 5. The difference between their ages is 5. The difference between Ed’s age, 29, and Meghan’s age, 5, is 24. Is 24 two times 5? No. Then choice b is wrong. You could eliminate
choice c in the same way and be left with choice d.
2. c. Note the word not in the question, and go through the answers one by one. Is the truck driver in choice a “operating a commercial vehicle”? Yes, idling counts as “operating,” so he needs to have a commercial driver’s license. Likewise, the bus operator in choice b is operating a commercial vehicle; the ques- tion doesn’t say the operator has to be on the street. The limo driver in choice d is operating
(continues)
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USING THE PROCESS OF ELIMINATION (continued)
a commercial vehicle, even though it doesn’t have a passenger in it. However, the driver in choice c is not operating a commercial vehi- cle, but his own private car.
3. a. You could eliminate choice b simply because of the presence of the word all. Such abso- lutes hardly ever appear in correct answer choices. Choice c looks attractive until you think a little about what you know—aren’t fewer people smoking these days, rather than more? So how could smoking be responsible for a higher mortality rate? (If you didn’t know that mortality rate means
the rate at which people die, you might keep this choice as a possibility, but you would still be able to eliminate two answers and have only two to choose from.) And choice d is plain silly, so you could eliminate that one, too. You are left with the correct choice, a.
4. a. How you used the process of elimination here depends on which words you recognized as being spelled incorrectly. If you knew that the correct spellings were outrageous, domesti- cated, and understandable, then you were home free.
YOUR GUESSING ABILITY
The following are ten really hard questions. You are not supposed to know the answers. Rather, this is an assessment of your ability to guess when you don’t have a clue. Read each question carefully, as if you were expected to answer it. If you have any knowledge of the subject, use that knowledge to help you eliminate wrong answer choices.
1. September 7 is Independence Day in a. India. b. Costa Rica. c. Brazil. d. Australia.
2. Which of the following is the formula for determining the momentum of an object? a. p = MV b. F = ma c. P = IV d. E = mc2
3. Because of the expansion of the universe, the stars and other celestial bodies are all moving away from each other. This phenomenon is known as a. Newton’s frst law. b. the big bang. c. gravitational collapse. d. Hubble fow.
4. American author Gertrude Stein was born in a. b. c. d.
1713. 1830. 1874. 1901.
5. Which of the following is NOT one of the Five Classics attributed to Confucius? a. I Ching b. Book of Holiness c. Spring and Autumn Annals d. Book of History
6. The religious and philosophical doctrine that holds that the universe is constantly in a struggle between good and evil is known as a. Pelagianism. b. Manichaeanism. c. neo-Hegelianism. d. Epicureanism.
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YOUR GUESSING ABILITY (continued)
7. The third chief justice of the U.S. Supreme Court was a. John Blair. b. William Cushing. c. James Wilson. d. John Jay.
8. Which of the following is the poisonous portion of a daffodil? a. the bulb b. the leaves c. the stem d. the fowers
9. The winner of the Masters golf tournament in 1953 was a. Sam Snead. b. Cary Middlecoff. c. Arnold Palmer. d. Ben Hogan.
10. The state with the highest per capita personal income in 1980 was a. Alaska. b. Connecticut. c. New York. d. Texas.
Answers Check your answers against the following correct answers.
1. c 2. a 3. d 4. c 5. b 6. b 7. b 8. a 9. d
10. a
How Did You Do? You may have simply gotten lucky and actually known the answer to one or two questions. In addition, your guessing was probably more successful if you were able to use the process of elimination on any of the questions. Maybe you didn’t know who the third chief justice was (question 7), but you knew that John Jay was the frst. In that case, you would have eliminated choice d and, therefore, improved your odds of guessing right from one in four to one in three.
According to probability, you should get two- and-a-half answers correct, so getting either two or three right would be average. If you got four or more right, you may be a really terrifc guesser. If you got one or none right, you may be a really bad guesser.
Keep in mind, though, that this is only a small sample. You should continue to keep track of your guessing ability as you work through the sample questions in this book. Circle the numbers of ques- tions you guess on as you make your guess; or, if you don’t have time while you take the practice tests, go back afterward and try to remember which questions you guessed at. Remember, on a test with fve answer choices, your chance of guessing correctly is one in fve. So keep a separate “guessing” score for each exam. How many questions did you guess on? How many did you get right? If the number you got right is at least one-ffth of the number of questions you guessed on, you are at least an average guesser— maybe better—and you should always go ahead and guess on the real exam. If the number you got right is signifcantly lower than one-ffth of the number you guessed on, you would be safe in guessing anyway, but maybe you would feel more comfortable if you guessed only selectively, when you can eliminate a wrong answer or at least have a good feeling about one of the answer choices.
Remember, even if you are a play-it-safe person with lousy intuition, you are still safe guessing every time.
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NOT work like that. The number of questions you
answer correctly yields your raw score. So you have
nothing to lose and everything to gain by guessing.
Step 7: Reach Your Peak Performance Zone
Time to complete: 10 minutes to read; weeks to
complete!
Activity: Complete a physical preparation
checklist.
To get ready for a challenge like a big exam, you have
to take control of your physical, as well as your men-
tal, state. Exercise, proper diet, and rest will ensure
that your body works with, rather than against, your
mind on test day, as well as during your preparation.
Exercise If you don’t already have a regular exercise program
going, the time during which you are preparing for
an exam is actually an excellent time to start one.
And if you are already keeping ft—or trying to get
that way—don’t let the pressure of preparing for an
exam fool you into quitting now. Exercise helps
reduce stress by pumping wonderful good-feeling
hormones called endorphins into your system. It also
increases the oxygen supply throughout your body,
including your brain, so you will be at peak perfor-
mance on test day.
A half hour of vigorous activity—enough to
raise a sweat—every day should be your aim. If you
are really pressed for time, every other day is okay.
Choose an activity you like and get out there and do
it. Jogging with a friend always makes the time go
faster, or take a radio.
But don’t overdo it. You don’t want to exhaust
yourself. Moderation is the key.
Diet First of all, cut out the junk. Go easy on caffeine and
nicotine, and eliminate alcohol and any other drugs
from your system at least two weeks before the exam.
Promise yourself a treat the night after the exam, if
need be.
What your body needs for peak performance is
simply a balanced diet. Eat plenty of fruits and vege-
tables, along with protein and carbohydrates. Foods
that are high in lecithin (an amino acid), such as fsh
and beans, are especially good “brain foods.”
The night before the exam, you might carbo-
load the way athletes do before a contest. Eat a big
plate of spaghetti, rice and beans, or whatever your
favorite carbohydrate is.
Rest You probably know how much sleep you need every
night to be at your best, even if you don’t always get
it. Make sure you do get that much sleep, though,
for at least a week before the exam. Moderation is
important here, too. Extra sleep will just make you
groggy.
If you are not a morning person, and your exam
will be given in the morning, you should reset your
internal clock so that your body doesn’t think you are
taking an exam at 3 A.M. You have to start this process well before the exam. The way it works is to get up
half an hour earlier each morning, and then go to bed
half an hour earlier that night. Don’t try it the other
way around; you will just toss and turn if you go to
bed early without having gotten up early. The next
morning, get up another half an hour earlier, and so
on. How long you will have to do this depends on
how late you are used to getting up.
2020
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Step 8: Get Your Act Together
Time to complete: 10 minutes to read; time to
complete will vary
Activity: Complete the “Final Preparations”
worksheet.
You are in control of your mind and body, which
means you are in charge of test anxiety, your prepara-
tion, and your test-taking strategies. Now it’s time to
take charge of external factors, like the testing site and
the materials you need to take to the exam.
Find Out Where the Exam or Exams Are, and Make a Trial Run Do you know how to get to the testing site? Do you
know how long it will take to get there? If not, make a
trial run, preferably on the same day of the week at
the same time of day as you will be taking your test.
Note, on the Final Preparations worksheet on the
next page, the amount of time it will take you to get
to the exam site. Plan on arriving 30 to 45 minutes
early so you can get the lay of the land, use the bath-
room, and calm down. Then fgure out how early you
will have to get up that morning, and make sure you
get up that early every day for a week before the exam.
Gather Your Materials The night before the exams, lay out the clothes you
will wear and the materials you have to bring with
you to the exam. Plan on dressing in layers; you won’t
have any control over the temperature of the exami-
nation room. Have a sweater or jacket that you can
take off if it’s warm. Use the checklist on the Final
Preparations worksheet to help you pull together
what you will need.
Don’t Skip Breakfast Even if you don’t usually eat breakfast, do so on exam
morning. A cup of coffee doesn’t count. Don’t eat
doughnuts or other sweet foods, either. A sugar high
will leave you with a sugar low in the middle of the
exam. A mix of protein and carbohydrates is best:
Cereal with milk and just a little sugar, or eggs with
toast, will do your body a world of good.
Step 9: Do It!
Time to complete: 10 minutes, plus test-taking time
Activity: Ace the Praxis Core tests!
Fast-forward to exam day. You are ready. You made a
study plan and followed through. You practiced your
test-taking strategies. You are in control of your phys-
ical, mental, and emotional state. You know when and
where to show up and what to bring with you. In
other words, you are better prepared than most of the
other people taking the exam. You are psyched.
Just one more thing. When you are fnished
with the exam, you will have earned a reward. Plan a
celebration. Call up your friends and plan a party, or
have a nice dinner for two—whatever your heart
desires. Give yourself something to look forward to.
And then do it. Go into the exams full of conf-
dence and armed with test-taking strategies you have
practiced until they’re second nature. You are in con-
trol of yourself, your environment, and your perfor-
mance on the exam. You are ready to succeed. So do
it. Go in there and ace the exam. And look forward to
your future career as a teacher!
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_________________________________________________________________________________________________
_________________________________________________________________________________________________
_________________________________________________________________________________________________
_________________________________________________________________________________________________
_________________________________________________________________________________________________
_________________________________________________________________________________________________
_________________________________________________________________________________________________
_________________________________________________________________________________________________
_________________________________________________________________________________________________
_________________________________________________________________________________________________
FINAL PREPARATIONS
Getting to the Exam Site
Location of the exam site: _________________________________________________________________________
Date: ___________________________________________________________________________________________
Departure time: __________________________________________________________________________________
Do I know how to get to the exam site? Yes No
If no, make a trial run.
Time it will take to get to the exam site: _____________________________________________________________
Things to Lay Out the Night Before
Clothes I will wear
Sweater/jacket
Watch
Photo ID
Other Things to Bring/Remember
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a p
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3 PRAXIS® CORE ACADEMIC SKILLS FOR EDUCATORS: PRACTICE TEST 1
CHAPTER SUMMARY This is the first of the four full-length Praxis® Core Academic Skills for Educators tests based on the structure and difficulty level of the Reading, Writing, and Mathematics tests. Use these tests to see how you would do if you were to take the Praxis Core tests today.
This chapter contains three tests that mirror the Reading, Writing, and Mathematics Core exams. Although the actual tests you will take are computer-based, the question types for each exam are rep-licated here for you in the book. As you take these frst tests, do not worry too much about timing. The actual time you will be allotted for
each exam is at the beginning of each test, but you should take these practice tests in as relaxed a manner as you
can to fnd out which areas you are skilled in and in which ones you will need to do extra work.
After you fnish taking your tests, you should review the answer explanations. (Each individual test is fol-
lowed by its own answer explanations.) See A Note on Scoring on page 375 to fnd information on how to score
your exam.
Good luck!
To access online PRAXIS Core practice that provides instant scoring and feedback: • Navigate to your LearningExpress platform and make sure you’re logged in. • Search for the following subtests, select one, and then click “Start Test.” • Praxis Core: Reading Practice Test 1 • Praxis Core: Mathematics Practice Test 1 • Praxis Core: Writing Practice Test 1
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Praxis® Core Academic Skills for Educators:
Reading Practice Test 1
Time: 85 Minutes
Directions: Read the following passages and answer
the questions that follow.
Use the following passage to answer questions 1 and 2.
Of the numerous American automotive pio-
neers, perhaps among the best known are
Charles and Frank Duryea. Beginning their
work of automobile building in Springfeld,
5 Massachusetts, and, after much rebuilding, they
constructed their frst successful vehicle in 1892
and 1893. No sooner was this fnished than
Frank, working alone, began work on a second
vehicle having a two-cylinder engine. With this
10 automobile, suffcient capital was attracted in
1895 to form the Duryea Motor Wagon Com-
pany in which both brothers were among the
stockholders and directors. A short time after
the formation of the company, this second
15 automobile was entered by the company in the
Chicago Times-Herald automobile race on
Thanksgiving Day, November 28, 1895, where
Frank Duryea won a victory over the other fve
contestants—two electric automobiles and
20 three Benz machines imported from Germany.
Source: Excerpt from The 1893 Duryea Automo-
bile by Don H. Berkebile.
1. Which of the following is the best summary of the passage?
a. There were many automotive pioneers in
America, but the best known were the
brothers Charles and Frank Duryea, who
began building automobiles in Springfeld,
Massachusetts.
b. Charles and Frank Duryea were among the
best-known American automotive pioneers,
but Frank was more famous than his brother
Charles because Frank won the Chicago
Times-Herald automobile race.
c. On Thanksgiving Day, November 28, 1895,
Frank Duryea won the Chicago Times-Herald
automobile race over fve other contestants:
two electric automobiles and three Benz
machines from Germany.
d. Charles and Frank Duryea were pioneering
automobile builders, and Frank developed a
proftable two-cylinder engine vehicle with
which he won the Chicago Times-Herald
automobile race.
e. Although Frank Duryea developed a two-
cylinder engine vehicle, both he and his
brother Charles profted from it because it
earned them the capital to start the Duryea
Motor Wagon Company.
2. In the passage, the author describes the kinds of cars Frank Duryea defeated in the Chicago
Times-Herald automobile race in order to
a. show that the best automobiles in the world
are built in Springfeld, Massachusetts.
b. imply that he would later develop an electric
car for the Duryea Motor Wagon Company.
c. indicate that the quality of automobiles
being developed in Europe was very poor at
the time.
d. suggest that the kind of car he drove is what
helped him win the race.
e. help the reader understand the differences
between two-cylinder vehicles and electric
automobiles.
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Use the following passage to answer questions 3 through
5.
It is not always easy to identify a stone, even
with a fresh surface; in a weathered specimen it
is often impossible. For this reason the material
of which a specimen is made may not be cor-
5 rectly named; frequently the alteration due to
exposure will change the appearance of a rock
very much, and in such a case the best that can
be done is to tell what it looks most like. The
material of a majority of specimens, however, or
10 at least the classes of rock to which they belong,
as granite, porphyry, etc., are correctly named;
to give a more exact name would be possible
only by the destruction or injury of the
specimen.
Source: Excerpt from Stone Art by Gerard Fowke
3. The author’s ideas could best be reinforced with illustrations of rocks
a. in different stages of weathering.
b. in the granite and porphyry classes.
c. procured from the bottom of the ocean.
d. that have been completely destroyed.
e. commonly found in most areas of the
United States.
4. Which of the following would be the best title for this passage?
a. “The Names of Various Rocks”
b. “Why Granite Is Called Granite”
c. “The Classes of Rocks”
d. “Why Rocks Must Be Destroyed”
e. “The Diffculties of Identifying Rocks”
5. What is the best defnition for the word fresh as it is used in line 2 of the passage?
a. novel
b. unmarked
c. bright
d. clean
e. airy
Use the following passage to answer question 6.
The Pennsylvania Dutch are a hard working
people and as they say, “Them that works hard,
eats hearty.” The blending of recipes from their
many home lands and the ingredients available
5 in their new land produced tasty dishes that
have been handed down from mother to
daughter for generations.
Source: Excerpt from Pennsylvania Dutch
Cooking
6. The author of this passage would most likely agree with which of the following statements?
a. The Pennsylvania Dutch people work harder
than any other group of people in America.
b. One of the distinguishing characteristics of
the Pennsylvania Dutch people is their
excellent cuisine.
c. The Pennsylvania Dutch people are known
throughout the world for their colorful and
amusing sayings.
d. No group of people blends recipes as well as
the Pennsylvania Dutch people do.
e. If fathers and sons in Pennsylvania Dutch
families made food, it would not be as good
as the food mothers and daughters make.
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Use the following passage pair to answer questions 7
through 10.
Passage 1
The variety of species among the jumping
spiders appears almost infnite. The genus, or
rather family of Epeira, is here characterized
by many singular forms; some species have
5 pointed coriaceous shells, others enlarged and
spiny tibiæ. Every path in the forest is barri-
caded with the strong yellow web of a species
belonging to the same division with the Epeira
clavipes of Fabricius, which was formerly said
10 by Sloane to make, in the West Indies, webs so
strong as to catch birds. A small and pretty kind
of spider, with very long forelegs, and which
appears to belong to an undescribed genus,
lives as a parasite on almost every one of these
15 webs. I suppose it is too insignifcant to be
noticed by the great Epeira, and is therefore
allowed to prey on the minute insects, which,
adhering to the lines, would otherwise be
wasted. When frightened, this little spider
20 either feigns death by extending its front legs,
or suddenly drops from the web.
Source: Excerpt from Some Wonderful Spiders
by Charles Darwin
Passage 2
There are, among spiders, two forms of protec-
tive modifcation: the frst, including all cases of
protective resemblance to vegetable and inor-
ganic things—that is, all modifcations of color
5 or of color and form that tend to make them
inconspicuous in their natural relations—I
shall call direct protection. The second form,
which I shall call indirect protection, includes
two classes, the spiders which are specially pro-
10 tected themselves and those which mimic other
creatures which are specially protected.
Spiders are specially protected when they
become inedible through the acquisition of
hard plates and sharp spines. The modifcation
15 of form is frequently accompanied by conspic-
uous colors, which warn their enemies that they
belong to an unpalatable class.
Source: Excerpt from Protective Resemblances in
Spiders by Elizabeth G. Pechham
7. Which of the following best describes the rela- tionship between Passage 1 and Passage 2?
a. Passage 1 makes an argument and Passage 2
contradicts it.
b. Passage 1 introduces an idea and Passage 2
expands on it.
c. Passage 1 introduces a diffcult concept and
Passage 2 explains it.
d. Passage 1 states facts and Passage 2 states
opinions.
e. Passage 1 makes a claim and Passage 2
supports that claim.
8. With which of the following statements about the undescribed genus of spider that lives in
the West Indies would the author of Passage 1
most likely agree?
a. It deserves to be named.
b. It is unimportant.
c. It is uniquely attractive.
d. It is an enemy of many animals.
e. It is cowardly.
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9. In what way is Passage 1 different from Passage 2?
a. Passage 1 describes the behaviors of several
animals.
b. Passage 1 uses scientifc research to support
its conclusions.
c. Passage 1 is written from a frst-person
perspective.
d. Passage 1 includes personal opinions.
e. Passage 1 describes how spiders use their
bodies to protect themselves.
10. The primary concern of Passage 2 is a. establishing a defnition of the term
protective modifcation.
b. describing how the colors of their bodies
help to protect spiders.
c. identifying why certain spiders have sharp
spines on their bodies.
d. providing details about the Epeira clavipes
of Fabricius.
e. explaining the two main ways spiders use
their bodies to protect themselves.
Use the following passage to answer questions 11 and
12.
Frederick Douglass lived so long, and played so
conspicuous a part on the world’s stage, that it
would be impossible, in a work of the size of
this, to do more than touch upon the salient
5 features of his career, to suggest the respects in
which he infuenced the course of events in his
lifetime, and to epitomize for the readers of
another generation the judgment of his con-
temporaries as to his genius and his character.
10 Douglass’s fame as an orator has long been
secure. His position as the champion of an
oppressed race, and at the same time an exam-
ple of its possibilities, was, in his own genera-
tion, as picturesque as it was unique; and his
15 life may serve for all time as an incentive to
aspiring souls who would fght the battles and
win the love of mankind.
Source: Frederick Douglass by Charles Chestnutt
11. The passage suggests that Frederick Douglass a. was most concerned with being loved by
other people.
b. mostly infuenced matters in his hometown.
c. had a uniquely engaging personality.
d. has been the topic of many long history
books.
e. was mostly famous for being a great speaker.
12. In the passage, the word salient most nearly means
a. outstanding.
b. factual.
c. silent.
d. minor.
e. proven.
Use the following passage to answer questions 13
through 15.
The account of this second journey of the Polos
may be read in the wonderful book which
Marco afterwards wrote to describe the won-
ders of the world. They went from Lajazzo
5 through Turcomania, past Mount Ararat, where
Marco heard tell that Noah’s ark rested, and
where he frst heard also of the oil wells of Baku
and the great inland sea of Caspian. Past Mosul
and Bagdad they went, through Persia, where
10 brocades are woven and merchants bring cara-
van after caravan of treasures, to Hormuz, on
the Persian Gulf, into which port put the ships
from India, laden with spices, drugs, scented
woods, and jewels, gold tissues and elephants’
15 teeth. Here they meant to take ship, but they
desisted, perhaps because they feared to trust
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themselves to the fimsy nailless vessels in
which the Arabs braved the dangers of the
Indian Ocean. So they turned north again and
20 prepared to make the journey by land. They
traversed the salt desert of Kerman, through
Balk and Khorassan to Badakhshan, where
there are horses bred from Alexander the
Great’s steed Bucephalus, and ruby mines and
25 lapis lazuli. It is a land of beautiful mountains
and wide plains, of trout streams and good
hunting, and here the brothers sojourned for
nearly a year, for young Marco had fallen ill in
the hot plains: a breath of mountain air blows
30 through the page in which he describes how
amid the clean winds his health came back
to him.
Source: Excerpt from A Short History of the
World by H.G. Wells
13. The passage suggests that Marco Polo was a. generally easy to convince of fantastical
things.
b. a man who possessed multiple extraordinary
skills.
c. a coward compared to Arabian sailors.
d. homesick much of his life.
e. often in poor health because of his
exhausting lifestyle.
14. The passage is primarily concerned with a. the written work of Marco Polo.
b. Marco Polo’s experiences in Turcomania.
c. the landscape of Badakhshan.
d. the travels of Marco Polo.
e. the people with whom Marco Polo traveled.
15. In line 1, the word account most nearly means a. report.
b. balance.
c. judgment.
d. credit.
e. reason.
Use the following passage pair to answer questions 16
through 18.
Passage 1
American independence, the beginnings of
which we have just been considering, was
accomplished after a long struggle. Many brave
men fought on the battle-feld, and many who
5 never shouldered a musket or drew a sword
exerted a powerful infuence for the good of the
patriot cause. One of these men was Benjamin
Franklin.
He was born in Boston in 1706, the ff-
10 teenth child in a family of seventeen children.
His father was a candle-maker and soap-boiler.
Intending to make a clergyman of Benjamin, he
sent him, at eight years of age, to a grammar-
school, with the purpose of ftting him for col-
15 lege. The boy made rapid progress, but before
the end of his frst school-year his father took
him out on account of the expense, and put
him into a school where he would learn more
practical subjects, such as writing and arithme-
20 tic. The last study proved very diffcult for him.
Source: Excerpt from American Leaders and
Heroes: A Preliminary Text-Book in United
States History by Wilbur F. Gordy
Passage 2
At ten years old I was taken home to assist my
father in his business, which was that of a
tallow-chandler and sope-boiler; a business he
was not bred to, but had assumed on his arrival
5 in New England, and on fnding his dying trade
would not maintain his family, being in little
request. Accordingly, I was employed in cutting
wick for the candles, flling the dipping mold
and the molds for cast candles, attending the
10 shop, going of errands, etc.
I disliked the trade, and had a strong incli-
nation for the sea, but my father declared
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against it; however, living near the water, I was
much in and about it, learnt early to swim well,
15 and to manage boats; and when in a boat or
canoe with other boys, I was commonly allowed
to govern, especially in any case of diffculty;
and upon other occasions I was generally a
leader among the boys, and sometimes led
20 them into scrapes, of which I will mention one
instance, as it shows an early projecting public
spirit, tho’ not then justly conducted.
Source: Excerpt from Benjamin Franklin: His
Autobiography by Benjamin Franklin
16. Based on the information in Passage 2, one can conclude that Benjamin Franklin
a. wished he could follow in his father’s
footsteps.
b. never learned how to make candles.
c. tended to communicate informally.
d. preferred making candles to boiling soap.
e. was not well liked by the other boys.
17. Which of the following is a difference between Passage 1 and Passage 2?
a. Passage 1 is more humorous than Passage 2.
b. Passage 1 tells the story of one person’s life.
c. Passage 1 is about the life of an important
American.
d. Passage 1 is more specifc than Passage 2.
e. Passage 1 focuses more on a particular
period of time.
18. Which of the following best describes the rela- tionship between Passage 1 and Passage 2?
a. Passage 1 discusses a topic objectively and
Passage 2 discusses it personally.
b. Passage 1 presents a question and Passage 2
answers it.
c. Passage 1 describes a method and Passage 2
shows how it is put to use.
d. Passage 1 presents information that
contradicts Passage 2.
e. Passage 1 describes a specifc aspect of
Passage 2.
Use the following passage to answer questions 19
through 21.
The steamboat was, if anything, a little ahead of
the steam engine in its earlier phases. There was
a steamboat, the Charlotte Dundas, on the Firth
of Clyde Canal in 1802, and in 1807 an Ameri-
5 can named Fulton had a steamer, the Clermont,
with British-built engines, upon the Hudson
River above New York. The frst steamship to
put to sea was also an American, the Phœnix,
which went from New York (Hoboken) to Phil-
10 adelphia. So, too, was the frst ship using steam
(she also had sails) to cross the Atlantic, the
Savannah (1819). All these were paddle-wheel
boats and paddle-wheel boats are not adapted
to work in heavy seas. The paddles smash too
15 easily, and the boat is then disabled. The screw
steamship followed rather slowly. Many diff-
culties had to be surmounted before the screw
was a practicable thing.
Source: Excerpt from The Frontier in American
History by Frederick Jackson Turner
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A TIMELINE OF EARLY STEAMSHIP HISTORY 1807 The steamboat emerges as a practical form
of travel. 1811 The first steamboat travels the Mississippi
River. 1818 First steamboat service on the Mediter-
ranean Sea 1819 The first steamboat crosses the Atlantic
Ocean. 1838 First transatlantic steamboat service 1851 John Elder patents compound steam engine.
19. The main purpose of this passage is to a. compare the steamboat to the steam engine.
b. provide information about the early history
of the steamboat.
c. explain why Fulton was an important
American.
d. provide a list of important dates in
steamboat history.
e. describe the faws in the paddle-wheel boats.
20. Based on information in the passage and the timeline, which of the following is most likely
true?
a. The Charlotte Dundas was the frst
steamboat to travel on the Mississippi River.
b. The Phœnix was the frst steamboat to cross
the Atlantic Ocean in 1819.
c. The Savannah was the frst steamboat
service on the Mediterranean Sea.
d. The screw steamship was identical to the
compound steam engine.
e. The Clermont helped demonstrate that the
steamboat was a practical form of travel.
21. Which of the following could be a factor in the difference between the steamships described in
this passage and the steamships developed after
them?
a. The steamships developed after them could
not cross oceans.
b. The steamships developed after them were
the frst to use British-built engines.
c. The steamships developed after them were
made in America.
d. The steamships developed after them
probably did not have paddles.
e. The steamships developed after them were
paddle-wheel boats.
Use the following passage to answer questions 22 and
23.
The most ancient materials used for recording
events were bricks, tiles, shells, and tables of
stone. The modes of writing on these different
substances were various. The tiles and brick
5 were impressed with a stamp when in a soft
state; the shells and tablets of stone were etched
or graven, the fgures or characters being cut in
their surface, and in some cases also stained
with various colors. It was by the ancient art of
10 stamping that the walls, palaces, and towers of
Babylon were covered with hieroglyphics,
which have but recently been brought to light
from under the immense mounds of Mesopo-
tamia by Layard and other explorers.
Source: Excerpt from Gutenberg, and the Art of
Printing by Emily Clemens Pearson
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22. The last sentence in the passage provides a. an interesting yet incidental detail not
directly related to the rest of the passage.
b. details that contrast information already
provided in the passage.
c. a description of how a process briefy
introduced earlier in the passage was
performed.
d. a personal account of information described
objectively earlier in the passage.
e. an example of how techniques described in
the passage were used.
23. The passage suggests that after impressing a stamp on a brick, the brick
a. was dyed red.
b. lost its original shape.
c. was covered in hieroglyphics.
d. would harden.
e. was graven.
Use the following passage to answer questions 24 and
25.
A history of architecture is a record of man’s
efforts to build beautifully. The erection of
structures devoid of beauty is mere building,
a trade and not an art. Edifces in which
5 strength and stability alone are sought, and in
designing which only utilitarian considerations
have been followed, are properly works of engi-
neering. Only when the idea of beauty is added
to that of use does a structure take its place
10 among works of architecture. We may, then,
defne architecture as the art which seeks to
harmonize in a building the requirements of
utility and of beauty. It is the most useful of the
fne arts and the noblest of the useful arts.
Source: Excerpt from A Text-Book of the History
of Architecture by A.D.F. Hamlin
24. The fnal sentence of the passage makes which of the following errors in logic?
a. incomplete comparison
b. faulty generalization
c. circular reasoning
d. fallacy of composition
e. moral equivalence
25. In the passage, the author refers to works of engineering in order to
a. use them as examples of architecture.
b. describe the designs common in
architecture.
c. illustrate the different uses of architecture.
d. contrast them with architecture.
e. provide a defnition of the term architecture.
Use the following passage to answer question 26.
A man can live for three days without bread,
but no man can live for one day without poetry,
was an aphorism of Baudelaire. You can live
without pictures and music but you cannot live
5 without eating, says the author of Dinners and
Dishes; and this latter view is, no doubt, the
more popular.
Source: Excerpt from “Review of Dinners and
Dishes” by Oscar Wilde
26. Based only on the information in the passage, which of the following is a valid conclusion?
a. Most people would not agree with
Baudelaire’s aphorism quoted in the passage.
b. Dinners and Dishes is a more poetic piece of
writing than Baudelaire ever created.
c. The author of the passage thinks that poetry
is more important than pictures and music.
d. Dinners and Dishes is more concerned with
pictures and music than eating.
e. The author of the passage believes that there
is nothing poetic about pictures and music.
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Use the following passage to answer questions 27
through 29.
Wood exhibits its greatest strength in tension
parallel to the grain, and it is very uncommon
in practice for a specimen to be pulled in two
lengthwise. This is due to the diffculty of mak-
5 ing the end fastenings secure enough for the
full tensile strength to be brought into play
before the fastenings shear off longitudinally.
This is not the case with metals, and as a result
they are used in almost all places where tensile
10 strength is particularly needed, even though the
remainder of the structure, such as sills, beams,
joists, posts, and fooring, may be of wood.
Thus in a wooden truss bridge the tension
members are steel rods.
15 The tensile strength of wood parallel to
the grain depends upon the strength of the
fbres and is affected not only by the nature and
dimensions of the wood elements but also by
their arrangement. It is greatest in straight-
20 grained specimens with thick-walled fbres.
Cross grain of any kind materially reduces the
tensile strength of wood, since the tensile
strength at right angles to the grain is only a
small fraction of that parallel to the grain.
Source: Excerpt from The Mechanical Properties
of Wood by Samuel J. Record
RATIO OF STRENGTH OF WOOD IN TENSION AND IN COMPRESSION
(BUL. 10, U.S. DIV. OF FORESTRY, p. 44)
A stick 1 square inch
Kind of Wood
Ratio: R =
Tensile strength____________________ Compressive strength
in cross section. Weight required to—
Crush Pull apart endwise
Hickory 3.7 32,000 8,500 Elm 3.8 29,000 7,500 Larch 2.3 19,400 8,600 Longleaf 2.2 17,300 7,400 Pine NOTE.—Moisture condition not given.
27. According to the passage, all of the following probably lacked considerable tensile strength
EXCEPT
a. sills.
b. beams.
c. rods in a truss bridge.
d. joists.
e. fooring.
28. Based on information in the passage and the table, which of the following woods is most
likely to have cross grain?
a. hickory
b. elm
c. larch
d. balsa
e. longleaf pine
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5
29. Based on information in the passage and the table, which of the following is a factor that
may affect the tensile strength of wood that is
not indicated in the passage?
a. grain direction
b. fber strength
c. nature of the wood elements
d. moisture condition
e. dimensions of the wood elements
Use the following passage to answer question 30.
The humorous story is strictly a work of art—
high and delicate art—and only an artist can
tell it; but no art is necessary in telling the
comic and the witty story; anybody can do it.
The art of telling a humorous story—under-
stand, I mean by word of mouth, not print—
was created in America, and has remained at
home.
Source: Excerpt from “How to Tell a Story” by
Mark Twain
30. Which statement, if it were true, most signif- cantly weakens the argument in the passage?
a. Native American storytellers had been telling
humorous stories for hundreds of years.
b. The plays of Aristophanes are among the
earliest examples of humorous stories in
writing.
c. Mark Twain is widely regarded as one of the
wittiest writers in American literature.
d. The word art is most commonly applied to
visual arts such as painting, sculpture, and
drawing.
e. It is important to understand certain rules
before attempting to tell a comic story.
Use the following passage to answer questions 31
through 33.
Whenever we hear the name of Napoleon men-
tioned, or see it printed in a book, it is usually
in connection with a hard-fought victory on
the battlefeld. He certainly spent most of his
5 life in the camp, and enjoyed the society of sol-
diers more than that of courtiers. The thunder
of guns, the charge of cavalry, and the fash of
bayonets as they glittered in the sun, appealed
to him with much the same force as music to
10 more ordinary folk. . . .
We are apt to forget that this mighty con-
queror, whom Carlyle calls “our last great man,”
had a childhood at all. He was born nearly a
century and a half ago, on the 15th August 1769
15 to be exact, in the little town of Ajaccio, the
capital of picturesque Corsica.
Source: Excerpt from The Story of Napoleon
by Harold F.B. Wheeler
31. As it is used in the context of the sentence, which word best describes the meaning of
force (line 9)?
a. compel
b. intensity
c. shove
d. pry
e. weight
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32. Which conclusion can be reached from the passage?
a. The childhoods of people with intimidating
reputations are often ignored.
b. Nobody had ever considered Napoleon’s
childhood before this passage was written.
c. Nothing is known about Napoleon’s
childhood at all.
d. All details about Napoleon’s childhood are
based on speculation rather than concrete
fact.
e. Great conquerors never have noteworthy
childhoods.
33. According to the passage, which of the follow- ing did Napoleon most likely prefer?
a. leading soldiers on the battlefeld
b. listening to music
c. plotting a battle
d. camping on a battlefeld
e. visiting Corsica
Use the following passage to answer questions 34
through 38.
The color of animals is by no means a matter of
chance; it depends on many considerations, but
in the majority of cases tends to protect the ani-
mal from danger by rendering it less conspicu-
5 ous. Perhaps it may be said that if coloring is
mainly protective, there ought to be but few
brightly colored animals. There are, however,
not a few cases in which vivid colors are them-
selves protective. The kingfsher itself, though
10 so brightly colored, is by no means easy to see.
The blue harmonizes with the water, and the
bird as it darts along the stream looks almost
like a fash of sunlight; besides which, protec-
tion is not the only consideration. Let us now
15 consider the prevalent colors of animals and
see how far they support the rule.
Desert animals are generally the color of
the desert. Thus, for instance, the lion, the ante-
lope, and the wild ass are all sand-colored.
20 “Indeed,” says Canon Tristram, “in the desert,
where neither trees, brushwood, nor even
undulation of the surface afford the slightest
protection to its foes, a modifcation of color
which shall be assimilated to that of the sur-
25 rounding country is absolutely necessary.
Hence, without exception, the upper plumage
of every bird, whether lark, chat, sylvain, or
sand grouse, and also the fur of all the smaller
mammals and the skin of all the snakes and
30 lizards, is of one uniform sand color.”
Source: Excerpt from “The Colors of Animals”
by Sir John Lubbock
34. The author’s use of the word harmonizes in line 11 emphasizes
a. the sweet sound of the kingfsher’s song.
b. the musical sound of fowing water.
c. the appealing glimmer of sunlight.
d. how the kingfsher blends with its
environment.
e. how the sounds of a bird and water blend.
35. Which of the following alternate titles would be the most appropriate for this passage?
a. “Colors of the Desert”
b. “Camoufage in the Wild”
c. “The Plumage of Birds”
d. “Why Kingfshers Are Blue”
e. “The Vivid Colors of Animals”
36. In the frst sentence, conspicuous most closely means
a. hidden.
b. conspiratorial.
c. obvious.
d. conscious.
e. attractive.
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37. The author includes the quotation from Canon Tristram in order to
a. show that authorities agree with the author’s
opinions.
b. illustrate an idea that the author could not
have explained himself.
c. support an argument that is not very
popular.
d. prove that birds are unique creatures.
e. develop upon an idea the author had already
introduced.
38. Based on the information in the passage, desert animals might not need to be the color of sand
if the desert
a. did not have so many trees.
b. had more colorful sand.
c. was cooler.
d. experienced more surface changes.
e. had fewer animals.
Use the following passage to answer questions 39 and
40.
Although very much yet remains to be learned
about this old earth, it is a remarkable fact that
man, through the exercise of his highest faculty,
has come to know so much concerning it.
5 The following words, by the late Professor
Barrell, admirably summarize the signifcance
of geological history. “The great lesson taught
by the study of the outer crust is that the earth
mother, like her children, has attained her
10 present form through ceaseless change, which
marks the pulse of life and which shall cease
only when her internal forces slumber and the
cloudy air and surf-bound ocean no more are
moving garments. The fowing landscapes of
15 geologic time may be likened to a kinetoscopic
panorama. The scenes transform from age to
age, as from act to act; seas and plains and
mountains of different types follow and replace
each other through time, as the traveler sees
20 them succeed each other in space.”
Source: Excerpt from Geology: The Science of the
Earth’s Crust by William J. Miller
39. As used in the passage, the word space most nearly means
a. portion of area.
b. atmosphere beyond Earth.
c. room.
d. surface.
e. depth.
40. Which of the following best describes the point of view of the passage?
a. frst person
b. second person
c. third person
d. fourth person
e. ffth person
Use the following passage to answer questions 41 and
42.
Science is knowledge; it is what we know. But
mere knowledge is not science. For a bit of
knowledge to become a part of science, its rela-
tion to other bits of knowledge must be found.
5 In botany, for example, bits of knowledge about
plants do not make a science of botany. To have
a science of botany, we must not only know
about leaves, roots, fowers, seeds, etc., but we
must know the relations of these parts and of
10 all the parts of a plant to one another. In other
words, in science, we must not only know, we
must not only have knowledge, but we must
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know the signifcance of the knowledge, must
know its meaning. This is only another way of
15 saying that we must have knowledge and know
its relation to other knowledge.
Source: Excerpt from The Science of Human
Nature by William Henry Pyle
41. The author of this passage would most likely agree with which of the following statements?
a. A real botanist focuses more attention on
leaves than roots.
b. A biologist cannot understand how the heart
works without knowing how the hand
works.
c. Plants actually are not the main concern of
the science of botany.
d. True scientists are not interested in acquiring
knowledge.
e. Anyone who only studies only Earth’s crust
is not a real Earth scientist.
42. The passage is primarily concerned with a. defning the term knowledge.
b. explaining how scientists must use
knowledge.
c. emphasizing the importance of the whole
over the part.
d. proving that most people who call
themselves scientists are frauds.
e. showing how one becomes a scientist.
Use the following passage to answer questions 43 and
44.
At the end of the nineteenth century the two
masters of the stage were Ibsen and Wagner,
and both of them were in the show business—
Wagner more openly and more frequently than
5 Ibsen. Yet the stern Scandinavian did not dis-
dain to employ an avalanche in When We Dead
Awaken, and to introduce a highly pictorial
shawl dance for the heroine of his Doll’s House.
As for Wagner, he was incessant in his search
10 for the spectacular, insisting that the music-
drama was the “art-work of the future,” since
the librettist-composer could call to his aid all
the other arts, and could make these arts con-
tribute to the total effect of the opera. He con-
15 formed his practise to his principles, and as a
result there is scarcely any one of his music-
dramas which is not enriched by a most elabo-
rate scenic accompaniment. The forging of the
sword, the ride of the Valkyries, the swimming
20 of the singing Rhinemaidens, are only a few of
the novel and startling effects which he intro-
duced into his operas; and in his last work, Par-
sival, the purely spectacular element is at least
as ample and as varied as any that can be found
25 in a Parisian fairy-play or in a London Christ-
mas pantomime.
Source: Excerpt from A Book about the Theater
by Brander Matthews
43. Which sentence best summarizes the main point of the passage?
a. Ibsen and Wagner may be considered great
theater artists, but they were really nothing
more than showmen.
b. The most spectacular moment of Ibsen’s
play When We Dead Awaken involves an
on-stage avalanche.
c. Wagner considered music-drama to be the
art-work of the future because it incorporated
numerous other art forms.
d. Every great theater artist knows that no one
would enjoy their plays without spectacular
stage effects.
e. Ibsen and Wagner were both great theater
artists but they also understood the value of
putting on a spectacular show.
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44. Which sentence from the passage represents an opinion rather than a fact?
a. “At the end . . . Ibsen.”
b. “Yet the . . . House.”
c. “As for Wagner . . . opera.”
d. “He conformed . . . accompaniment.”
e. “The forging . . . pantomime.”
Use the following passage to answer questions 45
through 49.
Wendel Bollman’s name survives today solely in
association with the Bollman truss, and even in
this respect is known only to a few older civil
and railroad engineers. The Bollman system of
5 trussing, along with those of Whipple and Fink,
may be said to have introduced the great age of
the metal bridge, and thus, directly, the modern
period of civil engineering.
Bollman’s bridge truss, of which the frst
10 example was built in 1850, has the very signif-
cant distinction of being the frst bridging sys-
tem in the world employing iron in all of its
principal structural members that was used
consistently on a railroad.
15 The importance of the transition from
wood to iron as a structural and bridge build-
ing material is generally recognized, but it may
be well to mention certain aspects of this
change.
20 The tradition of masonry bridge con-
struction never attained the great strength in
this country which it held in Europe, despite a
number of notable exceptions. There were sev-
eral reasons for this. From the very beginning
25 of colonization, capital was scarce, a condition
that prevailed until well into the 19th century
and which prohibited the use of masonry
because of the extremely high costs of labor
and transport. An even more important eco-
30 nomic consideration was the rapidity with
which it was necessary to extend the construc-
tion of railways during their pioneer years.
Unlike the early English and European railways,
which invariably traversed areas of dense popu-
35 lation and industrial activity, and were thus
assured of a signifcant fnancial return almost
from the moment that the frst rail was down,
the Baltimore and Ohio and its contemporaries
were launched upon an entirely different com-
40 mercial prospect.
Source: Excerpt from The Engineering Contri-
butions of Wendel Bollman by Robert M. Vogel
45. What will the writer of this passage most likely explain next?
a. The commercial prospect upon which the
Baltimore and Ohio railways were launched.
b. The thing with which Wendel Bollman’s
name is most closely associated today.
c. When capital for railway building in
America ceased to be scarce.
d. The kinds of areas that the early English and
European railways traversed.
e. Who the most famous engineers on the
Baltimore and Ohio railways were.
46. What is the country to which the author refers in the frst sentence of the fourth paragraph?
a. England
b. France
c. Germany
d. Mexico
e. the United States
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47. The passage indicates that railway bridges changed from
a. a wood-based system to an iron-based
system.
b. a European system to an international
system.
c. being dominated by Whipple and Fink to
being dominated by Bollman.
d. being used to mainly transport materials to
being used to mainly transport people.
e. a system that uses bridges to a system that
uses trusses.
48. The author compares the early English and European railways to
a. the California and New York railways.
b. Bollman’s bridge truss.
c. the Baltimore and Ohio railways.
d. more recent English and European railways.
e. the railway innovations of Whipple and
Fink.
49. Information in this passage can be applied to a. a biography of Whipple and Fink.
b. an advertisement for the Ohio railway
system.
c. a history of developments in railway
systems.
d. a railway engineering manual.
e. an essay on the European railway system.
Use the following passage to answer questions 50
through 53.
Gettysburg is the market town—or borough,
accurately speaking—of an exclusively farming
population, planted in one of the most produc-
tive sections of the Keystone State. It is the seat
of justice of the county. It has a seminary and
college of the German Lutheran Church, which
give a certain tone and cast to its social life. In
short, Gettysburg seems in all things so entirely
devoted to the pursuits of peace, there is so lit-
10 tle that is suggestive of war and bloodshed, even
if time had not mostly effaced all traces of that
gigantic struggle that, coming as we do with
one absorbing idea in mind, we fnd it hard to
reconcile the facts of history with the facts as
15 we fnd them.
There is another side to Gettysburg—a
picturesque, a captivating side. One looks
around upon the landscape with simple admi-
ration. One’s highest praise comes from the
20 feeling of quiet satisfaction with which the har-
mony of nature reveals the harmony of God.
You are among the subsiding swells that the
South Mountain has sent rippling off to the
east. So completely is the village hid away
25 among these green swells that neither spire nor
steeple is seen until, upon turning one of the
numerous low ridges by which the face of the
country is so cut up, you enter a valley, not
deep, but well defned by two opposite ranges
30 of heights, and Gettysburg lies gleaming in the
declining sun before you—a picture to be long
remembered.
Source: Excerpt from The Battle of Gettysburg
1863 by Samuel Adams Drake
50. According to the passage, Gettysburg is best described as a
a. market town.
b. farm.
c. county.
d. city.
e. borough.
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51. Which sentence from the passage contains both a fact and an opinion?
a. It is the seat of justice of the county.
b. In short, Gettysburg seems in all things so
entirely devoted to the pursuits of peace,
there is so little that is suggestive of war and
bloodshed, even if time had not mostly
effaced all traces of that gigantic struggle
that, coming as we do with one absorbing
idea in mind, we fnd it hard to reconcile
the facts of history with the facts as we
fnd them.
c. There is another side to Gettysburg—a
picturesque, a captivating side.
d. One’s highest praise comes from the feeling
of quiet satisfaction with which the harmony
of nature reveals the harmony of God.
e. So completely is the village hid away among
these green swells that neither spire nor
steeple is seen until, upon turning one of the
numerous low ridges by which the face of
the country is so cut up, you enter a valley,
not deep, but well defned by two opposite
ranges of heights, and Gettysburg lies
gleaming in the declining sun before you—a
picture to be long remembered.
52. As it is used in the context of the sentence, which word best describes the meaning of
cast (line 7)?
a. distance
b. players
c. throw
d. company
e. radiate
53. What was the author’s primary purpose in describing Gettysburg?
a. to encourage people to visit Gettysburg
b. to prove that people actually know very little
about Gettysburg
c. to establish the setting in a discussion of a
battle that took place there
d. to show that people in Gettysburg are very
religious
e. to imply that Gettysburg was a completely
unnatural place for a battle
Use the following passage to answer questions 54
through 56.
Animals below the level of zoophytes and
sponges are called Protozoa. The word obvi-
ously means “First Animals,” but all that we can
say is that the very simplest of them may give us
5 some hint of the simplicity of the original frst
animals. For it is quite certain that the vast
majority of the Protozoa today are far too com-
plicated to be thought of as primitive. Though
most of them are microscopic, each is an ani-
10 mal complete in itself, with the same funda-
mental bodily attributes as are manifested in
ourselves. They differ from animals of higher
degree in not being built up of the unit areas or
corpuscles called cells. They have no cells, no
15 tissues, no organs, in the ordinary acceptation
of these words, but many of them show a great
complexity of internal structure, far exceeding
that of the ordinary cells that build up the tis-
sues of higher animals. They are complete liv-
20 ing creatures which have not gone in for
body-making.
Source: Excerpt from The Outline of Science,
Vol. 1 by J. Arthur Thomson
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54. The passage deals mainly with which of the fol- lowing characteristics of modern protozoa?
a. their primitive nature
b. their relative complexity
c. their similarity to humans
d. their role as the frst animals
e. their microscopic size
55. Which sentence from the passage best supports the author’s argument that protozoa are “com-
plete living creatures”?
a. “Animals below the level of zoophytes and
sponges are called Protozoa.”
b. “The word obviously means ‘First Animals,’
but all that we can say is that the very
simplest of them may give us some hint of
the simplicity of the original frst animals.”
c. “For it is quite certain that the vast majority
of the Protozoa today are far too
complicated to be thought of as primitive.”
d. “They differ from animals of higher degree
in not being built up of the unit areas or
corpuscles called cells.”
e. “They have no cells, no tissues, no organs, in
the ordinary acceptation of these words, but
many of them show a great complexity of
internal structure, far exceeding that of the
ordinary cells that build up the tissues of
higher animals.”
56. Which inference about the complexity of living creatures can be made from the information
provided within the passage?
a. Large living things are more complex than
smaller ones.
b. A living thing must have cells, tissues, and
organs to be complex.
c. The size of a living creature has little bearing
on its complexity.
d. No animal without a traditional body can be
called complex.
e. Tiny living creatures tend to be more
complex than larger ones.
Praxis® Core Academic Skills for Educators:
Reading Practice Test 1 Answers and Explanations
1. d. Only choice d sums up all the most impor- tant details in the passage. Choice a only
summarizes the passage’s opening sentences.
Choice b makes a statement about the indi-
vidual brothers’ popularity that the passage
does not actually support. Choices c and e
are just details in the passage and fail to
summarize all of its most important details.
2. d. Since the author had described the kind of automobile Frank Duryea drove in the race,
the author likely mentions the types of cars
Duryea beat to suggest that it was their
innate qualities that caused them to lose the
race. The author is not likely making a gen-
eral statement about the automobiles built
in Springfeld, Massachusetts (choice a) or
the rest of the world (choice c). There is also
no evidence to support the prediction in
choice b, and there are not enough details
about the mechanical properties of two-
cylinder and electric vehicles to support
the conclusion in choice e.
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3. a. The author spends much of the passage explaining how diffcult it is to identify rocks
that have been weathered. This point would
be stronger if the reader could actually see
how signifcantly weathering alters the
appearance of rocks. The author only men-
tions the granite and porphyry classes as
examples of rocks that might be misclassi-
fed, so illustrations of them would not rein-
force the author’s ideas very much.
Therefore, choice b is not the best answer.
There is no mention of rocks that have been
procured from the bottom of the ocean, so
choice c does not make much sense. There is
no discussion of rocks commonly found in
the United States, so choice e is not a very
strong answer either. Although the author
mentions that destroying rocks may help
them to be identifed, this is not as impor-
tant an idea in the passage as is the weather-
ing of rocks, so choice a remains a better
answer choice than choice d.
4. e. A strong title should refect a selection’s main idea, and this selection is mainly about
the diffculties of identifying rocks. Choice a
is not as specifc to this particular topic as
choice e, so it is not the best answer. The
passage never indicates why a certain rock is
called granite, so choice b is not a good title.
Choice c makes the mistake of assuming the
selection is mainly about rock classes when
it is actually about rock names. Choice d just
refects a minor detail in the selection, but
the best answer choice should refect the
entire main idea.
5. b. Although each answer choice can be used as a synonym for fresh, only choice b makes
sense in this particular context. Choice a
would be appropriate only if the rock was
new and unusual. Choices c and d refer to
the surface appearance of the rock when the
sentence refers to its physical state beyond
the surface. Choice e is not a meaning of
fresh one would use to describe a rock in
any context.
6. b. This short passage is about the distinctive food Pennsylvania Dutch people make and
the qualities that make that food distinctive,
so choice b is the statement with which the
author is most likely to agree. Although the
author refers to the fact that Pennsylvania
Dutch people work hard, the author does
not compare their work ethic to the work
ethic of any other people, so choice a is not
the best answer. The author never indicates
how well known the Pennsylvania Dutch
people are throughout the world, so choice c
is not a strong answer either. Choice d makes
another unsupported comparison, and
choice e makes an unsupported assumption
based on the fact that the author mentions
only the cooking of Pennsylvania Dutch
mothers and daughters.
7. b. Passage 1 introduces ways spider survive and Passage 2 expands on it by describing ways
spiders protect themselves. Neither passage
makes an argument (choice a); both accept
the idea that spiders have unique ways of
protecting themselves. Passage 2 does not
explain anything about spiders that has not
already been described in Passage 1, so
choice c is incorrect. Both passages focus on
facts without indulging in opinions, so
choice d does not make sense. Passage 1 does
not make a general claim about spiders that
it does not support, so choice e is not the
best answer choice.
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8. c. The author of Passage 1 describes the spider as pretty, and since its appearance is a signif-
icant enough trait of the spider to mention,
it is likely that the author would agree that
the spider is uniquely attractive. While the
author acknowledges that the spider is unde-
scribed, there is no evidence to support the
idea that the author believes the spider
deserves to be named, so choice a is not the
best answer. There also isn’t any evidence to
support the idea that the spider is generally
unimportant (choice b); if this were true, the
author probably would not discuss it in this
passage at all. The author only says the spi-
der is a parasite, not an enemy of other ani-
mals, so choice d is not a strong answer. And
though the spider sometimes gets frightened
and pretends it is dead, this is more of a sur-
vival technique than an indication that the
spider is cowardly (choice e).
9. d. Only Passage 1 includes the author’s per- sonal opinions, as the author describes one
spider as pretty, which is an opinion not
everyone might share. Both passages
describe behaviors of several kinds of spiders
(choice a), and there is no reason to believe
that the information in Passage 2 is not
based on scientifc research (choice b). Both
passages use the frst-person pronoun I, so
choice c is incorrect. Both passages also dis-
cuss ways that spiders use their bodies to
protect themselves, so choice e is wrong.
10. e. Passage 2 is mainly concerned with explain- ing two ways spiders use their bodies to pro-
tect themselves: their protective resemblance
to vegetable and inorganic things in the frst
paragraph and their inedible bodies in the
second paragraph. The passage never actu-
ally defnes the term protective modifcation,
so choice a cannot be true. Choices b and c
are just supporting details in the passage.
Choice d refers to Passage 1, not Passage 2,
which does not mention the Epeira clavipes
of Fabricius at all.
11. c. The details about how Douglass was famous for speaking and conveyed his information
in a uniquely picturesque way is reason to
infer that he had a uniquely engaging per-
sonality. While the author of this passage
suggests that Douglass was loved by his fel-
low people, there is no evidence to support
the inference that this was his main concern
(choice a). The fact that Douglass played a
part on the world’s stage contradicts the
inference in choice b. Choice d may be true,
but there simply is not evidence to support
this conclusion in this particular passage.
While it is true that his speeches were among
the things for which Douglass was famous,
choice e makes a general assumption that
details in the passage do not support
strongly.
12. a. The word salient means outstanding. While factual (choice b) would make some sense if
used in place of salient in the passage, it does
not share a meaning with salient, so it is not
the correct answer choice. Choice e can be
eliminated because it basically has the same
meaning as factual. Choice c is a word that
sounds similar to salient but does not share
its meaning. Choice d is the opposite of
salient.
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13. b. The passage references both Marco Polo’s noteworthy explorations, which indicate that
he was an extraordinary explorer, and the
fact that he also wrote a wonderful book
about his travels, which suggests that he also
possessed extraordinary skills as a writer. So
choice b is the best answer. Although Polo
made a journey based on a rumor regarding
the location of Noah’s ark, that is not
enough evidence to make the general infer-
ence in choice a. Although the passage also
indicates that Polo was afraid to use the
same kind of sailing vessels certain Arab sail-
ors used, choice c is also an extreme infer-
ence to make based on this evidence. He may
have only been more cautious than those
Arab sailors. While Marco apparently spent a
good deal of his life away from home, the
passage presents no evidence to infer that he
was necessarily homesick much of the time
(choice d). Choice e also makes an extreme
inference based on just one slight detail
about how Marco once fell ill.
14. d. This passage primarily describes the travels of Marco Polo in a general way. Polo’s writ-
ten work is only briefy mentioned in the
frst sentence of the passage, so it could
hardly be the passage’s primary concern
(choice a). Choices b and c refer to places to
which Polo traveled in this passage, but nei-
ther place is signifcant enough to the overall
passage to describe its primary concern
accurately. Marco Polo is defnitely the most
important person in the passage, so choice e
does not make much sense.
15. a. As it is used in this particular passage, account is used to mean a report, which is
the only answer choice that would make
sense if used in place of account in the pas-
sage. Choices b and d would make sense only
if account had fnancial implications, such as
a bank account. Choices c and e could also
be used as synonyms of account in other
contexts, but they make no sense in this par-
ticular one.
16. c. Franklin’s misspelling of the word soap and his abbreviation of the word though as tho’
are evidence for the conclusion in choice c.
Franklin’s father was in the candle and soap
making business, and Franklin’s dislike of
working in that business contradicts the
conclusion in choice a. The fact that Frank-
lin did work in that business for a time also
contradicts the conclusion in choice b, while
choice d reaches a conclusion that informa-
tion in the passage simply does not support.
Although Franklin says he sometimes led
other boys into scrapes, that is not enough
evidence to support the too-general conclu-
sion in choice e.
17. d. While Passage 1 moves through the early events of Benjamin Franklin’s life rapidly,
Passage 2 slows down to focus more on the
specifc details of a particular period, which
supports choice d and contradicts choice e.
Passage 1 is strictly informative and not at all
humorous, so choice a is not the best answer.
Both passages tell the story of only one per-
son’s life, so choice b does not make much
sense. That person is an important Ameri-
can, so choice c does not make sense either.
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18. a. While Passage 1 tells the story of Benjamin Franklin’s early life from an outsider’s per-
spective, Passage 2 fnds Benjamin Franklin
telling the story of his own life. Passage 1
does not introduce a question that only Pas-
sage 2 answers (choice b) or describe any
kind of method (choice c). The passages
support each other, so choice d is not accu-
rate. The opposite of choice e is true.
19. b. This passage mainly just provides informa- tion about the early history of the steam-
boat. Only the frst sentence of the passage
compares the steamboat to the steam engine,
so choice a does not capture the purpose of
the passage as a whole. Fulton is only briefy
mentioned in the passage, so explaining his
importance (choice c) is not likely the pur-
pose of the entire passage. Choice d explains
the purpose of the timeline that follows the
passage, not the passage itself. Choice e only
describes a single detail in the passage, not
the purpose of the passage as a whole.
20. e. According to the passage, the Clermont was a signifcant steamship that sailed the Hudson
River near New York the same year that,
according to the timeline, the steamboat
emerged as a practical form of travel. Based
on this information, choice e is a logical con-
clusion. According to the passage, the Char-
lotte Dundas was a steamboat on the Firth of
Clyde Canal, not on the Mississippi, so
choice a is not correct. According to the pas-
sage, the Savannah was the frst steamship to
cross the Atlantic Ocean, so choice b cannot
be correct. The fact that the Savannah was
an American ship also makes choice c
unlikely. There is no evidence in the passage
or timeline to support choice d.
21. d. According to the passage, their easily smashed paddles were major faws in the
steamboats described in this passage, so it is
likely that later steamboats eliminated this
faw. This likelihood also eliminates choice a
and choice e, since the easily smashed pad-
dles were what made it diffcult for steam-
boats to cross oceans. Choice b cannot be
correct because the passage explains that the
Clermont was the frst steamboat with
British-built engines. Some of the steam-
ships the passage describes were made in
America, so this would not be a difference
and choice c cannot be correct.
22. e. The fnal sentence of the passage is the pas- sage’s only example of how a specifc culture
used recording techniques. It is directly
related to the passage’s main idea, so choice
a is incorrect. It does not contrast the rest of
the passage; it supports the passage, so
choice b is incorrect too. The fnal sentence
does not really describe how a process was
performed, so choice c is not the best answer.
Choice d is incorrect because the fnal sen-
tence of the passage is not written from a
personal point of view.
23. d. The passage states that brick had to be impressed with a stamp when in a soft state,
so it is logical to conclude that the brick
would then harden since brick is hard. Brick
is often red, but the passage only describes
the coloring of shells and tablets, so choice a
is not the most logical answer. Choice e also
refers to shells and tablets, not bricks. There
is no evidence to support the conclusion in
choice b either. Since the passage is not clear
about what material was used to build the
walls, palaces, and towers of Babylon, choice
c is not the best answer.
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24. b. A faulty generalization builds a conclusion on weak evidence, and there simply is not
strong enough evidence in the passage to
reach such a general conclusion as the idea
that architecture is the noblest of the useful
arts since the writer does not really explain
what is particularly noble about architecture.
Choices b, c, d, and e are not logical errors
present in the fnal sentence of the passage.
25. d. The author refers to mere utilitarian works of engineering to contrast the more artful
constructions the author believes qualify as
architecture. Since these works of engineer-
ing are distinct from architecture, choices a,
b, c, and e cannot be correct because they all
imply that mere works of engineering are
examples of architecture in the author’s
opinion.
26. a. The author of the passage suggests that the most popular opinion is that eating is more
important than such artful or poetic things
as pictures and music, so choice a is the best
conclusion. There is no evidence in the pas-
sage to support the conclusion in choices b
or c. A book called Dinners and Dishes is
likely more concerned with eating than pic-
tures and music, and there is not enough
evidence to support choice d in any event.
Based on evidence in the passage, the author
likely believes the opposite of choice e.
27. c. According to the passage, metal is higher in tensile strength than wood, and the rods in a
truss bridge are identifed as structural ele-
ments that must be made of metal. The
author states that sills (choice a), beams
(choice b), joists (choice d), and fooring
(choice e) may all be made of wood.
28. e. According to the passage, Cross grain of any kind materially reduces the tensile strength of
wood, so it is likely that the wood in the
chart with the lowest tensile strength is the
likeliest to have cross grain. Since longleaf
pine has the lowest tensile strength, choice e
is the likeliest answer. Hickory (choice a),
elm (choice b), and larch (choice c) all have
higher tensile strength than longleaf pine
according to the table. Balsa (choice d) is not
mentioned in the passage or the chart.
29. d. The table indicates that moisture condition is not provided in the table. Since this is an
important enough factor to warrant men-
tioning, it is likely that moisture condition
might affect the tensile strength of wood,
and this factor is indicated only in the table,
not in the passage. Choices a, b, c, and e are
all factors indicated in the passage.
30. e. Choice e indicates that there is an art to tell- ing comic stories, which contradicts the
author’s statement that only an artist can tell
a humorous story but anyone can tell a
comic or witty story. Choice a supports the
author’s statement about the humorous oral
story originating in America. Since the
author makes this statement only about oral
storytelling, choice b does not weaken his
argument. Choice c would not really under-
mine the author’s argument regarding
humorous storytelling; he could be a great
teller of both humorous and witty stories.
Choice d may be true, but it does not really
weaken the author’s argument since it does
not suggest that visual arts are the only arts.
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31. b. The author uses force to modify the action of appealing, so the correct answer choice must
be an adjective such as intensity. Choices a, c,
and d are all verbs, so they can be eliminated
even though they might be used as syn-
onyms of force in a different context. Choice
e is not as strong as choice b since weight
would be better used to describe something
with actual physical dimension.
32. a. The author suggests that Napoleon’s fame for being an intimidating conqueror has
caused people to ignore his childhood before
he developed that reputation, so choice a is a
logical conclusion to reach. The conclusions
in choices b and e are too extreme and gen-
eral, so they are not the likeliest answers.
Choice c is clearly untrue since the author
does provide some details about Napoleon’s
childhood. There is no evidence in the pas-
sage to support choice d.
33. a. With the examples he supplies, the author shows that Napoleon was happiest when
actually engaging in battle, and choice a is
the only answer that shows Napoleon in the
middle of battle. Choices c and d are related
to battle, but neither takes place in the mid-
dle of battle. Choice b is directly contra-
dicted in the passage. There is no evidence to
support the idea that Napoleon had particu-
larly strong feelings about his hometown, so
choice e is not the best answer either.
34. d. Although the word harmonizes is most often used in relation to music, the author of this
passage uses it to explain how a kingfsher
blends with its environment visually. So
choices a, b, and e, which all take the word
more literally as a way of describing sound,
can be eliminated. Since the word applies to
a kingfsher and its watery environment, not
the glimmer of sunlight mentioned further
on in the passage, choice c is incorrect.
35. b. The art of camoufage uses colors for pur- poses of protection, and this passage focuses
on how the colors of animals help protect
them in the wild. A strong title should refect
the main idea of a passage, and this passage
is not mainly about the colors of the desert
(choice a) or the plumage of birds (choice
c). Choice d relates to a single supporting
detail in the passage too specifcally. Not all
coloring described in the passage is vivid, so
choice e would not be the best title for this
particular passage.
36. c. The word conspicuous means obvious. Choice a is an antonym of conspicuous, not a syn-
onym. Choices b and d are spelled similarly
to conspicuous but they do not share a mean-
ing with it. Choice e is not a synonym of
conspicuous either.
37. e. The quotation develops upon the author’s earlier statement that Desert animals are gen-
erally the color of the desert. While it is likely
that Canon Tristram is an authority, there is
no reason to believe this person speaks for
all authorities, so choice a is not the best
answer. It also is not likely that the author
could not have explained the idea himself if
he had to do so, so choice b is not the best
answer either. There is no evidence that the
author’s statement about animal coloring is
unpopular, so choice c is not the best answer.
The quotation deals more with why certain
birds are certain colors than their general
uniqueness, so choice d is not the best
answer either.
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38. d. The author suggests that the undulation of the surface of deserts might offer desert ani-
mals more protection, so choice d is the best
conclusion. The author also provides infor-
mation that contradicts choice a. The partic-
ular color of the sand in deserts is not the
issue, so choice b is not the most logical
answer. The temperature of the desert is not
a factor in this passage either, so choice c is
wrong. The number of animals in the desert
does not affect their color, so choice e is
wrong, too.
39. a. Each answer choice could be used as a syn- onym for space, but only portion of area
makes sense in this particular context.
40. c. Third person point of view is when a narra- tor of a story is not present in the story.
Choice a, frst person point of view, is when
the narrator speaks as an I within the story.
Choice b, second person point of view, is
when the narrator addresses the reader with
you. Choices d and e do not exist.
41. e. The author is concerned with how science involves the interaction of various elements,
so any Earth scientist who is only concerned
with a single element of Earth probably
would not qualify as a “real” Earth scientist
in the author’s opinion. This fact also elimi-
nates choice a, which basically expresses the
opposite of the author’s opinion. Choice b,
however, is too specifc, and it is possible
that the author might believe that a biologist
can understand how the heart works with-
out knowing how the hand works. Choice c
is simply incorrect. While the author empha-
sizes the importance of knowing the mean-
ing of knowledge over simply acquiring
knowledge, one must acquire knowledge
before knowing its meaning, so choice d is
not a logical conclusion.
42. b. The passage is mainly concerned with show- ing how scientists must use knowledge. The
author is not merely concerned with defn-
ing a term, so choice a is not the best answer.
Choice c refers to an example the author
uses, not the main point of the passage.
Choice d is an extreme interpretation of the
passage that the passage does not really sup-
port. Such a brief passage could not possibly
explain how to do something as complex as
becoming a scientist, so choice e does not
make sense.
43. e. This answer choice summarizes the main idea of the passage perfectly. Choice a
implies a judgment about Ibsen and Wagner
that the author of the passage does not
express. Choices b and c focus on supporting
details in the passage rather than summarize
the main idea of the passage as a whole.
Choice d makes a sweeping generalization
about all theater artists when this passage
deals with only Wagner and Ibsen.
44. e. The fnal sentence of the passage contains opinions with which not everyone may
agree: the opinion that the effects in Wag-
ner’s operas were startling and the compari-
son between the spectacular nature of
Wagner’s opera and that of London Christ-
mas pantomimes. Choices a, b, c, and d each
provide irrefutable facts only.
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45. a. In the last sentence of the passage excerpt, the author states that the Baltimore and Ohio
and its contemporaries were launched upon
an entirely different commercial prospect but
does not explain what that prospect is. So it
would make sense that the specifc nature of
that commercial prospect would be the next
matter the author will explain. The author
explained what Wendel Bollman’s name is
most closely associated with in the frst sen-
tence of the passage, so it is unlikely that will
get discussed again, so choice b is not the
most logical prediction. The matter in choice
c was already discussed earlier in the fourth
paragraph of this passage. Choice d is
explained in the fnal sentence of this
excerpt. Specifc engineers are not discussed
in this passage, so there is no reason to
assume that the author will begin discussing
engineers in depth at this point in the pas-
sage. Therefore, choice e is not a very logical
prediction.
46. e. The author indicates that the country in question includes railways running through
Ohio and Baltimore, which are both places
in the United States (choice e). The author
discusses the country in contrast to England
and other European countries, so the Euro-
pean countries in choices a, b, and c can be
eliminated. Ohio and Baltimore are not in
Mexico, so choice d can be eliminated as
well.
47. a. Wendel Bollman pioneered the use of iron rather than wood in railway bridge con-
struction, which is stated in the third para-
graph of the passage. Choice b implies that
Europe was the only place that had railway
bridges initially, but this is not supported by
information in the passage. The author indi-
cates that Whipple, Fink, and Bollman all
developed railway innovations around the
same time, so choice c does not make much
sense. There is no support for choice d
either. The truss Bollman developed was a
kind of bridging system, so choice e does not
make sense.
48. c. The author makes this comparison in the fnal sentence of the passage. The compari-
sons in choices a, b, d, and e are never made
in this passage.
49. c. The passage is mainly about an important development in the railway system, so it
would be best applied to a history of that
topic. Whipple and Fink are only mentioned
in passing in this passage, and much more
detailed information would be needed for
the passage to be an adequate source for a
biography of those two people (choice a).
The passage is too detailed and specifc to
apply to an advertisement (choice b), which
is usually short on technical details. How-
ever, the passage is not technical enough to
serve as an adequate source for a railway
engineering manual (choice d). Although
the author briefy refers to the European
railway system, there is not enough informa-
tion about that system for this passage to be
an adequate source for an essay on that topic
(choice e).
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50. e. The author makes this distinction explicitly in the frst sentence of the passage. Although
the author initially describes Gettysburg as a
market town, he immediately clarifes that
borough is a more accurate designation, so
choice a is not the best answer. The author
briefy mentions that there are farms (choice
b) in Gettysburg and that Gettysburg is
located in a county (choice c) but does not
use them as designations of Gettysburg.
There is no mention of a city (choice d)
in the passage.
51. e. This is the only sentence that includes both facts (what is seen of Gettysburg when turn-
ing along certain ridges) and an opinion (the
personal opinion that the landscape of Get-
tysburg is a picture to be long remembered).
Choice a only includes a fact. Choices b, c,
and d only express opinions.
52. d. The author discusses how the German Lutheran Church in Gettysburg brings a cer-
tain cast to the community, and the only
answer choice that makes sense in this con-
text is choice d, which indicates a company
of people. The author clearly uses cast as a
noun, so although throw (choice c) and radi-
ate (choice e) might be used as synonyms of
cast in different contexts, these verbs make
no sense in this particular context. Choices a
and b are nouns, but they are not the right
nouns for this context.
53. c. The author refers to war and bloodshed in the frst paragraph of the passage, which is
an excerpt from a larger work called The
Battle of Gettysburg 1863, so choice c is the
likeliest answer. Although the author makes
Gettysburg sound like a very appealing place
to visit, he is not mainly concerned with
appealing to readers to visit it in this pas-
sage, so choice a is not the best answer. The
author implies that people may often have
misconceptions about picturesque Gettys-
burg because of its role in a well-known war,
but he is not mainly concerned with proving
that people know very little about the place
(choice b) or making an extreme statement
about how it was a completely unnatural
place for a battle (choice e). The author
makes a couple of references to the religious
nature of the people in Gettysburg, but this
is not his main purpose, so choice d is not
the best answer.
54. b. The author of this passage is mostly con- cerned with explaining that protozoa are
complex compared to their relatively simple
predecessors. Choice a is incorrect because
the author explicitly states that Protozoa
today are far too complicated to be thought of
as primitive. The author briefy compares
protozoa to humans, but he then describes
ways they are not similar to humans (They
have no cells, no tissues, no organs) so choice
c is not the best answer. The author does not
really explain the protozoa’s role as the frst
animals (choice d) and does not dwell on
their microscopic size (choice e).
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55. e. Although this sentence begins with informa- tion that implies that protozoa are not com-
plete living creatures (They have no cells, no
tissues, no organs), it fnishes with details
about what makes them complete living
creatures (many of them show a great com-
plexity of internal structure, far exceeding that
of the ordinary cells that build up the tissues of
higher animals). Choices a and b do not
relate to how protozoa are or are not com-
plete living creatures. Choice c merely
implies that protozoa are complete living
creatures but provides no specifc details to
support that implication. Taken on its own,
choice d seems to contradict the idea that
protozoa are not complete living creatures.
56. c. The author emphasizes that protozoa are complex despite being microscopic and not
having traditional bodies composed of cells,
tissues, and organs. This contradicts the
inferences in choices b and d. Choices a and
e indicate general comparisons that are not
really supported by evidence in the passage.
Praxis® Core Academic Skills for Educators:
Writing Practice Test 1
Part I: Multiple-Choice
Time: 40 Minutes
Directions: Choose the letter for the underlined por-
tion that contains a grammatical error. If there is no
error in the sentence, choose e.
1. The fnest authors are experts at creating a b
realistic characters, building palpable c
atmosphere, and plot intriguing stories. d
No error e
2. The cat moved stealthy across the top of the a
fence until the sudden sound of the barking b c
dog caused the startled feline to tumble to the d
ground. No error e
3. Before becoming President of the United States a b
in 1961, John F. Kennedy was a Senator from c
Massachusetts. No error d e
4. We spent the morning watching a fock of wild a
geese wind their way across the cloud-dappled b c d
sky. No error e
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5. The well-known mystery writer Ellery Queen is a
actually a pseudonym for two authors; b c
Frederic Dannay and Manfred Bennington Lee. d
No error e
6. Simon and Garfunkel was arguably the most a b
successful musical duo of 1960s pop. No error c d e
7. The team seemed to have neither the experience a
or the training to win the game last Saturday, b
but it emerged victorious nonetheless. No error c d e
8. Sprinkling the scrumptious cake with bits of a b
chocolate was a classic case of gliding the lily, c
but the cake was no less delicious because of
the unnecessary additions. No error d e
9. The mayor itself will be visiting our school to a b
promote civic activities this Monday morning. c d
No error e
10. The passengers on the Mayfower included a
John Alden, Isaac, and Mary Allerton, Peter b
Browne, Humility Cooper, William Holbeck,
and Stephen and Elizabeth Hopkins, as well c
as their children Constance, Giles, and d
Damaris. No error e
11. The actor failed to notice his queue to walk on a b
stage, bringing the play to a momentary but c
highly awkward halt. No error d e
12. Despite the assumption that he was embarking a
on a doomed mission, Thor Heyerdahl b
successfully navigated a wooden raft to the c
Polynesian Islands from South America called
the Kon Tiki. No error d e
13. The lion stalked it’s prey through the high, a b c
golden grasses of the savannah. No error d e
14. Because of the negative reviews the novel a
received, I was prepared to dislike it, and I was b c
actually impressed with the author’s grasp of d
language and plot. No error e
15. While popular votes indicate how many people a
voted for a particular presidential candidate, b
the number of electrical votes actually c d
determines the winner. No error e
16. The sweater looked so luxuriously soft hanging a
on the mannequin, but when I tried the sweater b
on, it was terribly coarse and rough. No error c d e
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PRAXISCorePP_03_23-112.indd 52 9/7/17 2:07 PM
Directions: Choose the best replacement for the
underlined portion of the sentence. If no revision is
necessary, choose a, which always repeats the original
phrasing.
17. Walter intended to call Hector but he wasn’t home.
a. Hector but he wasn’t home.
b. Hector but she wasn’t home.
c. Hector but that wasn’t home.
d. it but he wasn’t home.
e. Hector but Hector wasn’t home.
18. The flmmaker had planned to make an adap- tation of the novel Don Quixote for years how-
ever circumstances beyond his control
prevented the flm from ever being completed.
a. for years however circumstances beyond
b. for years, however; circumstances beyond
c. for years; however, circumstances beyond
d. for years however circumstances beyond;
e. for years: however circumstances beyond
19. All fve of the cats became a pet to very appre- ciative children.
a. became a pet to very appreciative children
b. become a pet to very appreciative children
c. became a pet to very appreciative children
d. became pet to very appreciative children
e. became pets to very appreciative children
20. The new building was created according to a truly state of the art design.
a. according to a truly state of the art design
b. according to a truly state of the art-design
c. according to a truly state of-the art design
d. according to a truly state-of-the-art design
e. according to a truly state-of the-art design
21. We ran out of space on the bookshelves in the living room we started storing books on the
shelf at the top of the closet as well.
a. in the living room we started storing books
b. in the living room: we started storing books
c. in the living room, so we started storing
books
d. in the living room we started. Storing books
e. in the living room we started; storing books
22. To who should I address this package? a. To who should I address
b. To she should I address
c. To us should I address
d. To you should I address
e. To whom should I address
23. Having failed to see the stop sign, nearly got into an accident at the corner of Main and
Acme.
a. stop sign, nearly got into an accident at the
corner of
b. stop sign, at the corner of
c. stop sign, Toni nearly got into an accident at
the corner
d. stop sign, Toni nearly got into an accident, at
the corner of
e. stop sign, Toni nearly into an accident at the
corner of
24. After Ronette performed in the production of Our Town, she receives a bouquet of roses from
her parents.
a. performed in the production of Our Town,
she receives
b. performed in the production of Our Town,
she received
c. will perform in the production of Our Town,
she is receiving
d. performed in the production of Our Town
she receives
e. performed in the production of Our Town,
she is receiving
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25. You can order a printout of any Bill from the Senate.
a. a printout of any Bill from the Senate
b. a printout of any Bill from the senate
c. a Printout of any Bill from the Senate
d. a Printout of any bill from the senate
e. a printout of any bill from the Senate
26. The weather could effect the trip to the bazaar we planned, so take my advice and check the
weather report as soon as you wake up tomor-
row morning.
a. effect the trip to the bazaar we planned, so
take my advice
b. effect the trip to the bazaar we planned, so
take my advise
c. effect the trip to the bizarre we planned, so
take my advice
d. affect the trip to the bazaar we planned, so
take my advice
e. affect the trip to the bizarre we planned, so
take my advice
27. Poet Maya Angelou was renowned for being a prominent civil rights activist who also worked
to help African Americans win the liberties
other people enjoyed.
a. activist who also worked to help African
Americans win the liberties other people
enjoyed.
b. activist.
c. who also worked to help African Americans
win the liberties other people enjoyed.
d. activist who worked to help African
Americans win the liberties other people
enjoyed.
e. activist who also worked to help African-
Americans win the liberties other people
enjoyed.
28. My cell phone has run out of power, but I cannot fnd my charger, anywhere!
a. power, but I cannot fnd my charger,
anywhere!
b. power, but I cannot fnd my charger
anywhere!
c. power but I cannot fnd my charger,
anywhere!
d. power, but I cannot fnd my charger
anywhere
e. power but I cannot fnd my charger
anywhere
29. Ricardo ate a hot bowl of soup for dinner this evening.
a. ate a hot bowl of soup for dinner
b. ate a bowl of soup hot for dinner
c. ate a bowl of hot soup for dinner
d. ate a bowl of soup for dinner hot
e. hot ate a bowl of soup for dinner
30. Each fower in the vase are roses I grew in my backyard garden.
a. fower in the vase are roses I grew
b. fowers in the vase is a rose I grew
c. fower in the vase are roses we grew
d. fower in the vase is a rose I grew
e. fower are roses I grew
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PRAXISCorePP_03_23-112.indd 54 9/7/17 2:07 PM
Directions: Choose the letter for the underlined por-
tion of the citations that contains an error. If there is
no error in the citation, choose e.
31. Newspaper citation: Johnson, Leopold. “7 Planets Discovered
a b
Orbiting Nearby Star.” The Daily Voice
[Baltimore] 21 Feb. 2017: A4. Print. No error c d e
32. Book citation: Candace L. Lechance. The Human Body.
a b
Chicago: New Press Publishing, 2014. Print. c d
No error e
Directions: Some parts of the following passage need
to be improved. Read the passage and then answer
the questions about specifc sentences. In choosing
your answers, pay attention to development, organi-
zation, word choice, tone, and the standards of writ-
ten English.
(1) Confusion regarding dinosaur skeletons has
helped create some of history’s most enduring
mythical creatures. (2) The Griffn is one such
example of this fascinating phenomenon.
(3) According to Greek myth, this whacky crea-
ture had the wings and head of an eagle and the
body of a lion. (4) Greek writer Aristeas frst
became aware of the Griffn while traveling
through the Altai and Tien Shan mountains in
675 BCE. (5) There the Greek writer met
nomads who told him stories of the strange
Griffns who use their mighty claws to defend
their vast treasures. (6) The Greek writer
learned that the nomads insisted that there
were skeletal remains to prove the existence of
Griffns. (7) However, according to Keiron Pim
in his book Dinosaurs: The Grand Tour, the
skeletons the nomads had most likely belonged
to protoceratops, a long-extinct variety of it
with a beak, a neck-frill that could easily be
mistaken for wings, and a clawed, hefty, four-
legged frame that could pass for the body of
a lion.
(8) The dragons of myth also likely
resulted from the discovery of dinosaur fossils.
(9) Imagine having no strong knowledge of
Earth’s past and discovering massive, reptile-
like skulls full of huge teeth and tremendous
skeletons with equally elongated tails. (10) You
may be able to begin to understand how these
myths came to be. (11) In fact these, myths per-
sist even today. (12) In 2007, media sources
such as The Washington Post and BBC News
reported that villagers in China’s Ruyang
County had dug up bones they believed to be
dragon remains. (13) As it turns out, the bones
actually belonged to an herbivorous species of
dinosaur.
33. In context, which revision to sentences 4 through 6 (sentences 4 through 6 follow) is
most needed?
Greek writer Aristeas frst became aware
of the Griffn while traveling through the
Altai and Tien Shan mountains in 675
BCE. There the Greek writer met nomads
who told him stories of the strange
Griffns who use their mighty claws to
defend their vast treasures. The Greek
writer learned that the nomads insisted
that there were skeletal remains to prove
the existence of Griffns.
a. As it is now.
b. Greek writer Aristeas frst became aware of
the Griffn while traveling through the Altai
and Tien Shan mountains in 675 BCE. There
he met nomads who told him stories of the
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strange Griffns who use their mighty claws
to defend their vast treasures. The nomads
insisted that there were skeletal remains to
prove the existence of Griffns.
c. Aristeas frst became aware of the Griffn
while traveling through the Altai and Tien
Shan mountains in 675 BCE. There the Greek
writer met nomads who told him stories of
the strange Griffns who use their mighty
claws to defend their vast treasures. The
Greek writer learned that the nomads
insisted that there were skeletal remains to
prove the existence of Griffns.
d. The Greek writer frst became aware of the
Griffn while traveling through the Altai and
Tien Shan mountains in 675 BCE. There the
Greek writer met nomads who told him
stories of the strange Griffns who use their
mighty claws to defend their vast treasures.
The nomads insisted that there were skeletal
remains to prove the existence of Griffns.
e. Greek writer Aristeas frst became aware of
the Griffn while traveling through the Altai
and Tien Shan mountains in 675 BCE. There
he met nomads who told him stories of the
strange Griffns who use their mighty claws
to defend their vast treasures. The Greek
writer learned that the nomads insisted that
there were skeletal remains to prove the
existence of Griffns.
34. For which detail does the writer cite multiple resources?
a. Villagers in China’s Ruyang County dug up
bones they believed to be dragon remains.
b. The nomads in the Altai and Tien Shan
mountains most likely found protoceratops
skeletons.
c. The griffn had the wings and head of an
eagle and the body of a lion.
d. Aristeas traveled through the Altai and Tien
Shan mountains in 675 BCE.
e. Some people have no strong knowledge of
Earth’s past.
35. In context, which revision to sentence 3 (sen- tence 3 follows) is most needed?
According to Greek myth, this whacky
creature had the wings and head of an
eagle and the body of a lion.
a. Replace whacky with kooky.
b. Replace whacky with crazy.
c. Replace myth with stories.
d. Replace creature with monster.
e. Replace whacky with fantastical.
36. In context, which revision to sentence 7 (sentence 7 follows) is most needed?
However, according to Keiron Pim in his
book Dinosaurs: The Grand Tour, the
skeletons the nomads had most likely
belonged to protoceratops, a long-extinct
variety of it with a beak, a neck-frill that
could easily be mistaken for wings, and a
clawed, hefty, four-legged frame that
could easily pass for the body of a lion.
a. Change had to has.
b. Replace it with dinosaur.
c. Replace book with it.
d. Change his to him.
e. Change mistaken to mistook.
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Use the following passage to answer questions 37
through 40.
(1) In 1965, the most popular pop band in the
world was busy making their second feature
flm. (2) The movie Help! would not be remem-
bered as the Beatles’ fnest achievement.
(3) Therefore, something happened while mak-
ing the flm that would have a signifcant effect
on the band and pop music in general.
(4) The Beatles were flming a scene set in
an Indian Restaurant when the Beatles’ guitar-
ist, George Harrison, heard an instrument
called the sitar. (5) The sitar is a classical
stringed Indian instrument with as many as 21
strings. (6) The instrument creates a haunting,
“twanging” sound. (7) Although it bears some
similarities to the kinds of guitars musicians
had been using to make pop music, the sitar
was completely unheard of in pop music.
(8) That changed when Harrison fell under the
spell of the instrument while making Help!
(9) After purchasing a sitar of his own,
George Harrison began studying the instru-
ment. (10) By the end of 1965, he had enough
rudimentary knowledge of the instrument to
play a basic melody on it while recording a Bea-
tles song. (11) The use of the sitar in that song
so impressed other pop musicians of the day
that artists scrambled to incorporate the instru-
ment into their music, helping to introduce a
wide audience of pop fans outside of India to a
classical instrument they had likely never even
heard of before.
37. In context, which revision to sentence 3 (sentence 3 follows) is most needed?
Therefore, something happened while
making the flm that would have a
signifcant effect on the band and pop
music in general.
a. Change has to “have.”
b. Replace Therefore with However.
c. Change making to make.
d. Replace the flm with it.
e. Change the band to them.
38. In context, which revision to sentence 7 (sentence 7 follows) is most needed?
Although it bears some similarities to the
kinds of guitars musicians had been using
to make pop music, the sitar was
completely unheard of in pop music.
a. As it is now.
b. Although the sitar bears some similarities to
the kinds of guitars musicians had been
using to make pop music, the sitar was
completely unheard of in pop music.
c. Although it bears some similarities to the
kinds of guitars musicians had been using to
make pop music the sitar was completely
unheard of in pop music.
d. Although it bears some similarities to the
kinds of guitars musicians had been using to
make pop music, the sitar was completely
unheard of.
e. Although it bears some similarities to the
kinds of guitars musicians had been using to
make pop music, it was completely unheard
of in pop music.
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39. In context, which revision to sentence 10 (sentence 10 follows) is most needed?
By the end of 1965, he had enough
rudimentary knowledge of the
instrument to play a basic melody on it
while recording a Beatles song.
a. As it is now.
b. By the end of 1965, he had enough
rudimentary knowledge of the instrument
to play “Norwegian Wood (This Bird Has
Flown).”
c. By the end of 1965, he had enough
rudimentary knowledge of the instrument
to play a basic melody on it while recording
the Beatles’ song “Norwegian Wood (This
Bird Has Flown).”
d. He had enough rudimentary knowledge of
the instrument to play a basic melody on it
while recording the Beatles’ song
“Norwegian Wood (This Bird Has Flown).”
e. By the end of 1965, he had enough
rudimentary knowledge to record the
Beatles’ song “Norwegian Wood (This Bird
Has Flown).”
40. In context, which revision to sentence 11 (sentence 11 follows) is most needed?
The use of the sitar in that song so
impressed other pop musicians of the day
that artists scrambled to incorporate the
instrument into their music, helping to
introduce a wide audience of pop fans
outside of India to a classical instrument
they had likely never even heard of before.
a. As it is now.
b. The use of the sitar in that song so
impressed other pop musicians of the day
that many others scrambled to incorporate
the instrument into their music, helping to
introduce a wide audience of pop fans
outside of India to a classical instrument
they had likely never even heard of before.
c. The use of the sitar in that song so
impressed other pop musicians of the day
that artists such as the Rolling Stones
scrambled to incorporate the instrument
into their music, helping to introduce a wide
audience of pop fans outside of India to a
classical instrument they had likely never
even heard of before.
d. The use of the sitar in that song so
impressed other pop musicians of the day
that artists such as the Rolling Stones,
Donovan, Procol Harum, Traffc, and many
others scrambled to incorporate the
instrument into their music, helping to
introduce a wide audience of pop fans
outside of India to a classical instrument
they had likely never even heard of before.
e. The use of the sitar in that song so
impressed other pop musicians of the day
that artists such as the Rolling Stones,
Donovan, Procol Harum, Traffc, and many
others scrambled.
–PRAXIS® CORE ACADEMIC SKILLS FOR EDUCATORS: PRACTICE TEST 1–
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Part IIa: Argumentative Essay
Time: 30 Minutes
Directions: Carefully read the essay-writing topic that follows. Plan and write an essay that addresses all points
in the topic. Make sure that your essay is well organized and that you support your central argument with con-
crete examples. Allow 30 minutes for your essay.
More and more, newsreaders are turning to untraditional news sources such as blogs and online video
opinion pieces rather than traditional newspapers and television news programs to get their information.
Write an essay in which you explain how you think the widespread use of alternative news sources is
affecting society.
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Part IIb: Source-Based Essay
Time: 30 Minutes
Directions: The following assignment requires you to
use information from two sources to discuss the most
important concerns that relate to a specifc issue.
When paraphrasing or quoting from the source, cite
each source by referring to the author’s last name, the
text’s title, or any other clear identifer. Allow 30 min-
utes for your essay.
Assignment
Read the two passages carefully and then write an
essay in which you identify the most important con-
cerns regarding the debates concerning fracking. Your
essay must draw on information from both of the
sources. In addition, you may draw on your own
experiences, observations, or reading. Be sure to cite
the sources whether you are paraphrasing or directly
quoting.
–PRAXIS® CORE ACADEMIC SKILLS FOR EDUCATORS: PRACTICE TEST 1–
PRAXISCorePP_03_23-112.indd 68 9/7/17 2:07 PM
Source 1
The Argument against Fracking Better known as “fracking,” hydraulic fracturing is the process of extracting fossil fuels from the earth. The process involves using intense pressure to inject liquid such as water into wells to crack rock below the earth’s surface. Sand included in the water keeps the cracks open after the injection pro- cess is complete. The resulting cracks allow oil and gas to flow freely so they can then be extracted. While proponents of fracking celebrate the process’s effectiveness, they fail to acknowledge the multitudinous downsides to this rather destructive process.
First of all, there is the matter of methane leaks. Methane is a greenhouse gas that contributes tremendously to the greenhouse effect that is helping to warm our planet abnormally. Methane tends to leak from the earth during several stages of the fracking process, so it is reasonable to con- clude that fracking can have a direct and very negative effect on climate change.
Fracking also affects the water we drink. During the process, methane not only leaks into the atmosphere above the earth’s surface; it also leaks into water below that surface. Consequently, tap water is rendered undrinkable. Methane can even make water become flammable. Chemicals used in fracking can also cause contamination, and some fracking companies will not even disclose the kinds of chemicals they use.
Fracking doesn’t just taint water; it also wastes it. A single well may use anywhere from two to twenty million gallons of water. This is a major drain on the earth’s water resources, which are becoming increasingly scarce in parts of the country such as California.
These are just a few of the serious issues with fracking. Along with the negative effect the pro- cess has on the atmosphere and water supplies, there is also the fact that fracking may help stimu- late earthquakes; it discourages the use of alternative energy sources, such as wind and solar power; and the basic quality of life of people who live near noisy, dirty fracking sites must suffer. America’s continued reliance on fracking may seem like a good idea to those who will most profit from it, but such people are extremely shortsighted. More likely, fracking will have dire long-term consequences for Earth and its residents.
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Source 2
Taking a Stand for Fracking The question of whether to frack or not to frack is a controversial issue. Enemies of the fossil-fuel extraction process insist that fracking has a negative impact on the environment. However, these people cannot seem to grasp all the benefits of fracking, and yes, some of those benefits are envi- ronmental in nature.
As a popular alternative to fossil fuels, coal is an unwise energy source. Thousands of people die every year because of the toxins that rise from burned coal. The rise of fracking has displaced coal considerably. In 2008, 50% of the United States’ energy was coal generated, while only 20% was natural gas generated. Four years later, use of coal energy had dropped to just 37% while natu- ral gas energy had risen to 30%, and during that time, there has been a major reduction in the kinds of deadly nitrogen and sulfur dioxide emissions that result from coal burning. I’m sure you’ll agree that is a major environmental advance that can be attributed to fracking.
Now some people complain that fracking causes the contamination of drinking water. How- ever, the water we drink is not at the same level of the earth as fossil fuels are. Fuels are located much deeper in the earth than water is. When fracking companies do their work carefully, and are mindful of pipe leaks within 1,000 feet of the earth’s surface, there is no risk of water contamination.
So, fracking really is not all that damaging to the earth and its environment. It is even benefi- cial to our planet in certain significant ways. Fracking ensures that America will continue to have clean and efficient energy sources for generations to come.
–PRAXIS® CORE ACADEMIC SKILLS FOR EDUCATORS: PRACTICE TEST 1–
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Praxis® Core Academic Skills for Educators:
Writing Practice Test 1 Answers and Explanations
1. d. There are three items in a series in this sen- tence: creating realistic characters, building
palpable atmosphere, and plot intriguing sto-
ries. To make these three items parallel, the
word plot should be changed to plotting.
2. a. There is an error in modifer use in this sen- tence. The word stealthy is an adjective, but
it is used to describe the verb moved, so it
should be in its adverb form: stealthily.
There are no errors in choices b, c, or d.
3. e. There is no error in this sentence. All of the underlined words are capitalized correctly.
4. c. There is an error in pronoun number in this sentence. The pronoun should agree with
the singular word fock, not the plural word
geese, but their is a plural pronoun.
5. c. There is a punctuation error in this sentence. A semicolon should not be used to offset
descriptive details from what they describe.
A colon is used for this purpose.
6. e. In this sentence, Simon and Garfunkel describes a single duo, so the use of the sin-
gular verb was is correct in this context.
There are actually no errors in this sentence.
7. b. The correlative conjunction neither must be paired with nor, but this sentence mistakenly
uses or instead.
8. c. This sentence contains an idiom error. There is no such idiom as gliding the lily. The
proper idiom to indicate an unnecessary
addition to something that is already excel-
lent is gilding the lily.
9. b. There is an error in the use of an intensify- ing pronoun in this sentence. The pronoun
itself should be used only in reference to a
nonhuman subject, but a mayor is a human
being so the correct pronoun would be her-
self or himself.
10. b. There are a number of commas in this sen- tence, and one is used incorrectly. There
should not be a comma after Isaac because
the name is part of a compound entry on
the list: Isaac and Mary Allerton.
11. b. There is an error in word choice in this sen- tence. The word queue does not mean a sig-
nal for action; it means a line of people. The
correct word for this context is cue.
12. d. This sentence contains a misplaced modifer. The phrase called the Kon Tiki should be
placed directly after the term it modifes: a
wooden raft. Placing it after South America
makes it seem as though South America is
called the Kon Tiki, which does not make
sense.
13. b. The word it’s is a contraction of it is, but this sentence requires the possessive form of the
pronoun it, which is its. There should not be
an apostrophe in the word.
14. c. The conjunction and is not the best one to use in this sentence. Since the frst part of
the sentence introduces an idea that is con-
tradicted after the conjunction, but would be
a better conjunction to show the contradic-
tory relationship between the sentence’s
clauses.
15. c. Electrical is the wrong word to use in this sentence. It should be replaced with the
word electoral, which is actually the kind of
vote that determines the winner of a presi-
dential election.
16. d. The words coarse and rough share the same meaning. Eliminating the word rough would
correct this redundancy.
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17. e. The original sentence suffers from a vague pronoun since it is not clear whether he is
supposed to refer to Walter or Hector. Choice
e clears up this error by changing the pro-
noun to the proper noun Hector. Choice b
makes the same error as the original sen-
tence and uses incorrect gender. Choices c
and d fail to correct the original error and
make the additional error of referring to a
human as that or it.
18. c. The original sentence is missing two neces- sary pieces of punctuation. Choice c corrects
this error by inserting a semicolon between
the sentence’s two clauses and following the
conjunctive adverb however with a comma.
Choices b and d recognize that a semicolon
is needed but both answer choices misplace
their respective semicolons. Choice e mistak-
enly uses a colon instead of a semicolon.
19. e. There is an error in noun-noun agreement in the original sentence. The plural noun
cats does not agree with the singular pet.
Changing that word to the plural pets cor-
rects the error. The other answer choices fail
to correct that original error.
20. d. When two or more words are used as a sin- gle modifer, they need to be hyphenated. In
this sentence, state of the art modifes design,
so the phrase should be hyphenated as state-
of-the-art. Choices b, c, and e recognize that
the original sentence was missing hyphens,
but they either use too few hyphens or mis-
place them.
21. c. As originally written, the sentence is a run- on because it lacks a conjunction and punc-
tuation to join its two clauses. Choice c
corrects this error with the conjunction so
and a comma. Choice b uses the wrong
punctuation; a semicolon would correct the
original mistake but a colon does not.
Choices d and e place the punctuation in the
wrong spots, which turns the clauses into
fragments.
22. e. The pronoun in the original sentence is in the subjective case, but the objective case is
needed since the pronoun is being used as
the object of this sentence. Choice e corrects
this error by changing who to whom. Choice
b uses a subjective pronoun incorrectly.
Choices c and d use objective pronouns, but
the pronouns they use are not the kind
needed in a question in which the recipient
of the package is unknown.
23. d. The original sentence is a fragment because it lacks a subject. Choice d corrects this error
by introducing the subject Toni. Choice b
deletes information that fails to correct the
original problem. Choice c includes the sub-
ject but it deletes the necessary preposition
of. Choice e introduces a subject but deletes
the necessary verb got.
24. b. The original sentence has an incorrect shift in verb tense, following the past-tense verb
performed with the present-tense receives.
Choice b corrects this error by placing both
verbs in the past tense. Choice c places the
verbs in different tenses that still shift tense.
Choice d deletes a comma without correct-
ing the original error. Choice e changes the
tense of receives, but it does not change it to
the same tense as performed.
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25. e. As used in this sentence, bill is a common noun so it should not be capitalized. How-
ever, Senate is a proper noun, so it should be
capitalized, making choice b incorrect.
Choice c introduces another capitalization
error by capitalizing the common noun
printout. Choice d makes the same error
while also failing to capitalize Senate.
26. d. The original sentence confuses the word effect, which is a noun meaning result, for
affect, which is a verb meaning to change.
Choice d corrects this error. Choice b not
only retains the original error but introduces
a new one by changing advice, which is a
noun meaning recommendation, to advise,
which is a verb meaning to recommend.
Choice c retains the original error, mistak-
enly changes advice to advise, and introduces
a new error by changing bazaar, which is a
noun meaning market, to bizarre, which is
an adjective meaning very strange. Choice e
makes that error regarding bizarre as well.
27. b. The original sentence includes a redundancy since stating that Maya Angelou was a civil
rights activist already implies that she worked
to help African Americans win the liberties
other people enjoyed. By deleting that fnal
phrase, choice b corrects the redundancy.
Choice c mistakenly deletes the word activist,
making it seem as though Angelou, herself,
was civil rights, which does not make sense.
Choice d merely deletes the word also, which
fails to correct the original redundancy.
Choice e fails to delete the original redun-
dancy and introduces a punctuation error by
placing an unnecessary hyphen between
African and American.
28. b. The original sentence contains an unneces- sary comma before anywhere. Choice b cor-
rects that error by deleting the comma.
Choice c introduces a new error by deleting
the necessary comma before but while failing
to correct the original comma error. Choices
d and e correct the original error but delete
the necessary end marks, and choice e also
deletes that necessary comma before but.
29. c. The original sentence misplaces the modifer hot, making it seem as though the actual
bowl was hot when it is the soup inside the
bowl that was hot. Choice c corrects this
error by placing hot so that it modifes soup.
Choices b, d, and e also misplace the
modifer.
30. d. There is a lack of agreement between the nouns in the original sentence. Flower and
roses refer to the same thing so they should
agree in number. Choice d corrects this error
by changing roses to the singular a rose so
that it agrees with the singular fower. Choice
b merely reverses the original agreement
error while introducing a new error with the
incorrect phrase Each fowers. Choice c
merely changes the pronoun, which does not
correct the original error. Choice e deletes
the phrase in the vase, which does not cor-
rect the original error either.
31. e. This newspaper article is cited correctly as originally written. There are no errors in it.
32. a. In a book citation, the author’s last name precedes his or her frst name. This citation
fails to do so. The rest of the citation is writ-
ten correctly.
8080
8181
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33. b. As originally written, sentences 4 through 6 lack variety; each sentence includes the term
Greek writer. Choice b corrects this problem
by eliminating two of the repetitious uses of
the term. Choices c and e each eliminate one
use of the phrase, but they are still too repe-
titious. Choice d deletes the Greek writer’s
name, making his identity unclear, and fails
to correct the original problem of repetition.
34. a. To support this detail, the author cites two media sources. Choice b is supported with
only a single source. Choices c, d, and e are
not supported with any sources.
35. e. The language used in the majority of this passage indicates that it was written for an
educated, adult audience. The word whacky
is too informal for this passage. Changing
that phrase to fantastical maintains the pas-
sage’s sophisticated style. Choices a and b
merely replace one informal word with
another. Choice c changes myth to the less
specifc stories while failing to correct the
original stylistic error. Choice d changes
creature to monster while failing to correct
the original stylistic error.
36. b. As originally written, this sentence is unclear because the pronoun it is too vague. Replac-
ing it with the term that pronoun stands for
(dinosaur) clarifes the sentence’s meaning.
Choices a and e each introduce verb-tense
errors into the sentence. Choice c introduces
another vague pronoun, making the sen-
tence even less clear than it originally was.
Choice d introduces a pronoun error.
37. b. As originally written, sentence 3 begins with the wrong transitional word because There-
fore suggests a result, yet sentence 3 provides
a contrast to sentence 4. A better transitional
word is However. Choices a and c introduce
grammatical errors to the sentence. Choices
d and e replace specifc nouns with vague
pronouns.
38. a. Sentence 7 is perfectly clear and grammati- cally correct as it is originally written. None
of the answer choices improve the sentence.
39. c. The original sentence could use some clarif- cation regarding the song in question, and
choice c provides that without introducing
any new errors. Choices b and e clarify the
song but make George Harrison’s contribu-
tion to it less clear than it was in the original
sentence. Choice d clarifes the song but
makes the timeframe of the event less clear
than it was in the original sentence.
40. d. Choice d improves on the original sentence by introducing some examples of the other
pop artists who used the sitar in their music.
Choices b and c do not support the original
sentence as well as choice d does because
they do not include suffcient examples.
Choice e includes those supportive exam-
ples, but it also deletes information, making
it unclear what these other pop musicians
did.
Sample Responses for the Argumentative Essay
Following are sample criteria for scoring an argu-
mentative essay.
A score 6 writer will n create an exceptional composition with a clear
thesis that appropriately addresses the audience
and given task. n organize ideas effectively and logically, include
very strong supporting details, and use smooth
transitions. n present a defnitive, focused thesis and clearly
support it throughout the composition. n include vivid details, clear examples, and strong
details to support the key ideas.
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n exhibit an exceptional level of skill in the usage of
the English language and the capacity to employ
an assortment of sentence structures. n build essentially error-free and varied sentences
that accurately convey intended meaning.
A score 5 writer will n create a commendable composition that appro-
priately addresses the audience and given task. n organize ideas, include supporting details, and
use smooth transitions. n present a thesis and support it throughout the
composition. n include details, examples, and supporting text to
enhance the themes of the composition. n generally exhibit a high level of skill in the usage
of the English language and the capacity to
employ an assortment of sentence structures. n build mostly error-free sentences that accurately
convey intended meaning.
A score 4 writer will n create a composition that satisfactorily addresses
the audience and given task. n display satisfactory organization of ideas, include
adequate supporting details, and generally use
smooth transitions. n present a thesis and mostly support it throughout
the composition. n include some details, examples, and supporting
text that typically enhance most themes of the
composition. n exhibit a competent level of skill in the usage of
the English language and the general capacity to
employ an assortment of sentence structures. n build sentences with several minor errors that
generally do not confuse the intended meaning.
A score 3 writer will n create an adequate composition that basically
addresses the audience and given task.
n display some organization of ideas, include some
supporting details, and use mostly logical
transitions. n present a somewhat underdeveloped thesis but
attempt to support it throughout the
composition. n exhibit an adequate level of skill in the usage of
the English language and a basic capacity to
employ an assortment of sentence structures. n build sentences with some minor and major
errors that may obscure the intended meaning.
A score 2 writer will n create a composition that restrictedly addresses
the audience and given task. n display little organization of ideas, have inconsis-
tent supporting details, and use very few
transitions. n present an unclear or confusing thesis with little
support throughout the composition. n include very few details, examples, and support-
ing text. n exhibit a less than adequate level of skill in the
usage of the English language and a limited
capacity to employ a basic assortment of sentence
structures. n build sentences with a few major errors that may
confuse the intended meaning.
A score 1 writer will n create a composition that has a limited sense of
the audience and given task. n display illogical organization of ideas, include
confusing or no supporting details, and lack the
ability to effectively use transitions. n present a minimal or unclear thesis. n include confusing or irrelevant details and exam-
ples, and little or no supporting text. n exhibit a limited level of skill in the usage of the
English language and little or no capacity to
employ basic sentence structure.
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n build sentences with many major errors that
obscure or confuse the intended meaning.
Sample Score 6 Argumentative Essay Throughout the twentieth century, humans largely
relied on traditional news sources such as newspapers,
magazines, and television news programs to stay on top
of current events. This situation has drastically changed
with the widespread use of the Internet in the twenty-
frst century. Now people regularly consult such less for-
mal sources as blogs and online video opinion pieces to
fnd out what is happening in the world. While some
argue that this change in the nature of our news is either
a good thing or a bad thing, I believe there is a more
nuanced assessment as there are both pros and cons to
the proliferation of these relatively new news sources.
On the pro side, personal blogs and the kinds of
video pieces anyone with a smart phone can post on
sites such as YouTube are giving a voice to members of
the population who did not have one before. Now every-
one can play the role of political commentator, voicing
alternative opinions about the world that may not be
presented in traditional media. This helps people to feel
more involved in the world events that so often feel
beyond our control. The high quality of many blogs and
video pieces has also inspired many commentators to
put the kind of polish on their presentations that used to
be exclusive to national newspapers and network televi-
sion programs.
However, there is a downside to the relative ease
of posting an editorial piece on a blog or YouTube. There
is generally no system of checks and balances on these
kinds of information outlets, which has caused a rise in
what is commonly called “fake news.” These are news
items with no basis in reality that could actually have
national and global impacts when readers believe them
to be true. The rise of fake news is a highly dangerous
consequence of the news items that pop up on unregu-
lated blogs and video sites.
Nevertheless, the American ideal of free speech
ensures that we will probably continue to see news items
appear on blogs and video sites no matter how profes-
sional, amateurish, factual, or fctional they may be.
The key to navigating this tricky environment is cross
checking the news items that appear on these sources
with items in other sources. Doing so will help us to fg-
ure out which sources are the most reliable, earning our
repeat attention and consideration. That way we read-
ers can remain well informed with “real” news amidst
the twenty-frst century’s complex media environment
and all people can continue to take advantage of the
more prominent voices the current news environment
affords them.
Comments on the Sample Argumentative Essay That Received a Score of 6 The author has created an informative essay with a
clear thesis. It answers the question and has a smooth,
logical organization. Stylistically, it uses smooth tran-
sitions and relevant and correct examples. The key
ideas are readily apparent and explored throughout
the essay through well-written and varied sentences.
Sample Score 4 Argumentative Essay More and more, newsreaders are turning to untradi-
tional news sources such as blogs and online video opin-
ion pieces rather than traditional newspapers and
television news programs to get their information. This
is causing some major problems in the world.
Basically, when anyone can provide the news, they
can say anything they want to. Old-fashioned newspa-
pers and TV news programs have editors that can sepa-
rate what is true from what is not true. If a reporter
comes in with fake information, an editor can stop that
information from ever going in print or on TV. There
aren’t any kinds of things when it comes to blogs and
video sights. So anyone can publish anything they want
to. Fake news is the result of this. Nowadays, it is getting
harder and harder to know what is fake and what is
real because of fake news. People are getting really con-
fused because of all this.
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Still we have free speech in America and that
means anyone can say anything they want to say. So
that’s why there is still fake news. Free speech is foored
but it is the American way. So who are we to say it
should be stopped? We must deal with a world where
there is fake news as well as good, old-fashioned news-
papers that always tell the truth. This can make it diff-
cult to stay well informed, but with a little bit of care
and work, we can still do that.
Comments on the Sample Argumentative Essay That Received a Score of 4 The author has created a serviceable composition.
The thesis is readily perceived and adequately, if not
spectacularly, defended. Details are correct, if vague.
Stylistically, it is rather rough and too informal and
the decision to begin the essay by quoting the prompt
word-for-word is weak. However, the author displays
adequate knowledge of the subject and suffcient
command of the English language. Aside from a few
errors in word choice (for example: using sights
instead of sites and foored instead of fawed), the
essay is grammatically and orthographically correct,
even if it is not scintillating.
Sample Score 1 Argumentative Essay First of all blogs are awesome. Their . . . I said it. They
are awesome! I love to use blogs to right all about what
I’m doing. Like what music I’m listening to. And TV
shows I like. I bet that people could not do that before
blogs. I mean they could right about that kind of stuff
but they could not right about it so that EVRYONE IN
THE WORLD literally could read it! Literally!
You need to be careful what you say though. You
cant say anything bad about people cause they might
read it and knowing that the whole world is reading
bad things about them will make them feel BAD. Never
do that. Only say good things about people on your
blogs. Hey . . . it’s all good!
Comments on the Sample Argumentative Essay That Received a Score of 1 The author neither understands the subject nor
expresses an opinion in a clear and coherent manner.
The author furthermore focuses on his or her experi-
ence with blogging, not with the role blogs play in the
current news environment. There are grammatical
and spelling errors, and the essay neither develops in
a clear way nor has very much to say.
Sample Responses for the Source-Based Essay
Following are sample criteria for scoring a source-
based essay.
A score 6 writer will n create an exceptional composition explaining why
the topic is important and support the explana-
tion with specifc references to both sources. n organize ideas effectively and logically, include
well-chosen information from both sources, and
link the two sources in the discussion. n exhibit an exceptional level of skill in the usage of
the English language and the capacity to employ
an assortment of sentence structures. n build essentially error-free and varied sentences
that accurately convey intended meaning. n cite both sources when quoting or paraphrasing.
A score 5 writer will n create a commendable composition that explains
why the concerns are important and support the
explanation with specifc references to both
sources. n organize ideas effectively and logically, include
information from both sources, link the two
sources, and use smooth transitions. n generally exhibit skill in the usage of the English
language and the capacity to employ variety in
sentence structures.
8484
8585
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n build mostly error-free sentences that accurately
convey intended meaning. n cite both sources when quoting or paraphrasing.
A score 4 writer will n create a composition that satisfactorily explains
why the concerns are important and support the
explanation with specifc references to both
sources. n use information from both sources to convey why
the concerns discussed in the sources are
important. n display satisfactory organization of ideas, include
adequate details, and link the two sources. n exhibit a competent level of skill in the usage of
the English language and the general capacity to
employ an assortment of sentence structures. n build sentences with several minor errors that
generally do not confuse the intended meaning. n cite both sources when quoting or paraphrasing.
A score 3 writer will n create an adequate composition that basically
addresses the audience and given task but conveys
the importance of the concerns in only a limited
way. n use information from only one source or inade-
quately from both sources to convey why the con-
cerns discussed in the sources are important. n display some organization of ideas and include
some supporting details. n exhibit an adequate level of skill in the usage of
the English language and a basic capacity to
employ an assortment of sentence structures. n build sentences with some minor and major
errors that may obscure the intended meaning. n cite sources when quoting or paraphrasing.
A score 2 writer will n fail to explain why the concerns are important. n use information from only one source poorly or
fail to convey why the concerns discussed in the
sources are important.
n display little organization of ideas, have inconsis-
tent supporting details, and fail to link the two
sources. n demonstrate a less than adequate level of skill in
the usage of the English language and a limited
capacity to employ a basic assortment of sentence
structures. n build sentences with a few major errors that may
confuse the intended meaning. n fail to cite sources when quoting or paraphrasing.
A score 1 writer will n display illogical organization of ideas, include
confusing or no supporting details, and fail to
adequately address the concerns raised by the
sources. n include confusing or irrelevant details and exam-
ples, and few or no supporting references. n exhibit a limited level of skill in the usage of the
English language and little or no capacity to
employ basic sentence structure. n build sentences with many major errors that
obscure or confuse the intended meaning.
Sample Score 6 Source-Based Essay Despite its enormity, the Earth is a fragile place.
Humankind cannot abuse our planet without conse-
quences, which is something we are learning in the age
of fracking. Properly known as “hydraulic fracturing,”
fracking is a method of drawing fossil fuels from the
Earth. While the process has its proponents, there are
serious consequences to the process that pose a very real
threat to world on which we all live.
Fracking can negatively affect our planet both by
what it does to the physical Earth and what it may
release into the atmosphere above the planet. Fracking
can cause the leaking of methane, a harmful greenhouse
gas that can exacerbate climate change when it escapes
into the atmosphere. Toxic substances can contaminate
water when it leaks into the ground below.
Proponents of fracking argue that there is actually
no danger of water contamination because the ground
water we drink and fossil fuels are located at different
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levels of the Earth’s interior. However, pipe leaks can
still cause leakage as the fuels are drawn to the Earth’s
surface. The article “Taking a Stand for Fracking”
argues that this is not a threat when fracking companies
work carefully, but what of the ones that do not perform
this clearly complex work with care? Do the risks really
justify the consequences? Considering that these compa-
nies are proft driven, and some lack so much consider-
ation for the public that they “will not even disclose the
kinds of chemicals they use,” according to “The Argu-
ment against Fracking,” they may not deserve the bene-
ft of the doubt.
I personally think that the argument against
fracking is much stronger than the argument in favor of
it. Additionally, the dependence on fossil fuels that the
fracking industry promotes is drawing away support for
alternative energy sources such as wind and solar
energy. By simply focusing on the admittedly problem-
atic alternative energy source of coal, the author of
“Taking a Stand for Fracking” fails to examine this
issue completely. The article’s refusal to acknowledge the
fact that fracking may stimulate earthquakes is another
faw in a piece clearly intent on cherry-picking infor-
mation to present an unwavering pro-fracking position.
Granted, this issue is obviously too complex to
address in articles as brief as “Taking a Stand for Frack-
ing” and “The Argument against Fracking,” but even in
its truncated format, “The Argument against Fracking”
makes the more convincing argument, as it uses more
varied and well-supported examples than “Taking a
Stand for Fracking” does. If I’m ever able to take a
stand, myself, by using my vote to support or prevent
fracking, I know that I will be taking my stand against
the dangerous, potentially disastrous process.
Comments on the Sample Source-Based Essay That Received a Score of 6 This is a superb essay. This response evaluates the
arguments in the source texts, develops an effective
position supported by the text, and fulflls the criteria
to earn a top score. This response establishes its stance
at the conclusion of the frst paragraph (While the
process has its proponents, there are serious conse-
quences to the process that pose a very real threat to
world on which we all live.) and provides a summary
of support for that stance in the second, third, and
fourth paragraphs. In the third and fourth para-
graphs, the writer also weighs the validity of the evi-
dence in the “against” argument, for example:
“‘Taking a Stand for Fracking’ argues that this is not a
threat when fracking companies work carefully, but
what of the ones that do not perform this clearly com-
plex work with care? Do the risks really justify the
consequences?”
The essay is well organized, opens with a defni-
tive stance, offers a discussion of the pros and cons of
fracking and the evidence provided, and then pro-
vides a summary in support of the chosen stance. The
writer provides multiple, specifc examples and then
elaborates on them, using an appropriately formal
tone throughout. In addition, the writer adheres to
proper grammar and usage.
Sample Score 4 Source-Based Essay Fracking is one of the most controversial contemporary
issues. Some people are against it because they think it
is bad for the environment. Other people are for it
because they think the complaints against fracking are
incomplete. After reading two articles on this subject,
one for it and one against it, I think I probably agree
with “Taking a Stand for Fracking.”
The writer of this article says that “As a popular
alternative to fossil fuels, coal is an unwise energy
source. Thousands of people die every year because of
the toxins that rise from burned coal. The rise of frack-
ing has displaced coal considerably.” This is a pretty
convincing argument because nothing is more serious
than death. The other article called “The Argument
against Fracking” doesn’t even talk about how bad coal
is. That is a major problem with that article.
That article also says that fracking taints drinking
water. But “Taking a Stand for Fracking” shoots that
argument right down by proving that “the water we
drink is not at the same level of the earth as fossil fuels
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PRAXISCorePP_03_23-112.indd 87 9/7/17 2:07 PM
are.” This makes the argument against fracking because
of tainted water seem downright foolish.
Basically, I think the author of “Taking a Stand
for Fracking” makes a more convincing argument
because of the details and the way the article is written.
I got a sense that the author was talking right to me by
using a less formal way of speaking. I felt like it was
written by a real person. This makes the information
seem more like it was provided by an actual human
being instead of some sort of computer or something.
Comments on the Sample Source-Based Essay That Received a Score of 4 This response makes a simple argument, supports it
with some evidence from the source text, and offers a
partial analysis of the opposing argument.
The writer generates an argument in favor of
fracking and makes a clear statement of his or her
position in the frst paragraph (After reading two arti-
cles on this subject, one for it and one against it, I think
I probably agree with “Taking a Stand for Fracking.”).
The writer does cite some evidence from the source
text to support his or her position, but overly relies
on direct quotation with a minimum of true insight
into the details quoted and a tendency to not ques-
tion those details. Consequently, the analysis is sim-
plistic and limited. In addition, the focus on the
author’s tone and style in the fnal a paragraph is a
weak way to end the essay, revealing that the writer
may have been more swayed by how the article was
written rather than the quality of its details.
The writer adheres to proper grammar and
usage.
Sample Score 1 Source-Based Essay Fracking is breaking up the Earths surface to get gas. I
get that. But it is not the right name for this thing. It is
really called hydraulic fracking. That is just one of the
facinating details I learned while reading the two
articles.
These were the only articles about hydraulic frack-
ing Ive ever read I think they really made me known of
an issue I didn’t know anything about at all. I learned
about a lot of terms like hydraulic fracking and I learned
why some people are against it like the guy who wrote
“The Arguing Against Fracking” and some people are
for it like “Taking Stand for Fracking.” I’m pretty sure I
have an opinion about this subject now to. And I didn’t
even know anything about it! Before reading these arti-
cles!
Comments on the Sample Source-Based Essay That Received a Score of 1 In general, this response provides a minimal sum-
mary of the source texts and lacks insight and topic
analysis. The writer fails to summarize source texts in
a coherent and organized structure. Although this
response addresses the source material, the writer
fails to cite evidence to support any arguments and
does not take a frm stance despite suggesting that he
or she now has an opinion about it (I’m pretty sure I
have an opinion about this subject now to . . .). The
writer wastes too much space dwelling on how he or
she did not know anything about fracking before
reading the assignment.
Overall, the response is poorly developed, is dis-
organized, and lacks any clear progression of ideas.
The writer uses informal, colloquial, and vague lan-
guage (Fracking is breaking up the Earths surface to get
gas. I get that. But it is not the right name for this
thing.) and misquotes details in and even titles of the
source material (It is really called hydraulic fracking.).
The response lacks organizational structure and a
clear progression of ideas.
Many sentences lack sense and fuency and are
incorrect and awkward. The writer misuses and con-
fuses words, punctuation, and usage as well as the
conventions of English in general, making the
response almost incomprehensible. This short
response shows fawed sentence structure, including
run-on sentences (These were the only articles about
hydraulic fracking Ive ever read I think they really made
me known of an issue I didn’t know anything about at
all) and fragments (Before reading these articles!).
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__
___
Praxis® Core Academic Skills for Educators:
Mathematics Practice Test 1
Time: 85 Minutes
Directions: Choose the best answer to each of the fol-
lowing questions.
1. Which of the following is equal to √500? a. 50
b. 10√50 c. 10√5 d. 50√10 e. 5√10
2. As of 2016, the yearly average birth rate in India is approximately 19.3 births for every
1,000 people. Determine the total number of
births expected in one year if India’s popula-
tion is 1.327 billion.
3. What is the median of the data set represented by this boxplot?
–30 –20 –10 0 10 20 30 40 50 60
a. 5
b. 22.5
c. 30
d. 40
e. 50
4. Solve the equation: 9 – x = –2(2x – 3) a. –6
b. –4
c. –3
d. –1
e. 0
5. Brett can wash 2 full-length patio doors in 55 minutes. How many minutes would it take him
to wash 17 full-length patio doors?
6. The radius of the base of circular cylindrical holding tank is 8 times the radius of the base of
a circular cylindrical pipe that empties into it.
If they have the same length, say L feet, the vol-
ume of the tank is how many times the volume
of the pipe?
a. 4
b. 8
c. 16
d. 64
e. 512
7. Which of the following is the solution set for the inequality –4(3 – 2x) ≥ 19 + 3(x – 2)?
a. {x | x ≥ 11 1 }
b. {x | x ≥ 20} 29 c. {x | x ≥ – 5 }
d. {x | x ≥ –5}
e. {x | x ≥ 5}
8888
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y8. Which of the following scatterplots indicates a d. positive trend?
a. y
e. y x
b. y
c.
x 9. Which of the following is a reasonable estimate
y for the height of the frst hill of a new extreme roller coaster?
a. 2,000 mm
b. 8 m
c. 300 ft.
d. 2.0 km
e. 5 yards
x
x
x
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10. Participants in a study concerned with the link between eating sugary foods and blood glucose
levels are asked to measure their glucose levels
every 4 hours during the day. One participant’s
readings for the frst 24 hours of the study are
as follows:
BLOOD GLUCOSE LEVEL TIME (IN MILLIGRAMS PER DECILITER)
6 A.M. 50 10 A.M. 70 2 P.M. 50 6 P.M. 40 10 P.M. 60 2 A.M. 60
What is the mean blood glucose level for these
readings?
11. What is the slope of the line graphed here?
(5,–1)
(–4,3)
y
x
a. 2 __4b. 9
c. 0 __4d. – 9 __9 e. – 4
12. Which of the following are factors of the num- ber 23 × 32 × 5? Select all that apply. a. 4
b. 7
c. 12
d. 50
e. 72
13. Pamela works a 40-hour week as a computer technician at a local library. She earns a base
salary of $15 per hour, plus double this amount
for any hour she works beyond 40 in a week.
Her goal is to earn $960 each week prior to
taxes. How many hours beyond the initial 40
must she work in a week to attain her goal?
14. An eighth-grade teacher needs to select a stu- dent representative to serve as an assistant
crossing guard for after-school programs. To
do this, she randomly selects a letter from the
alphabet and then chooses the frst student
from the bottom of her class roster whose frst
name begins with that letter. Which of the fol-
lowing statements is true?
a. The selection process is unfair because there
may not be an equal number of students
whose frst names start with each letter of
the alphabet.
b. The selection process is unfair because she
did a random selection of letters instead of
numbers.
c. The selection process is fair because each
letter has an equal chance of being selected.
d. The selection process is fair because students
with an uncommon frst name will not be
singled out.
e. This would be a fair method for making
such a selection if the class size were 60, but
not for a class size of 25.
9090
9191
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15. If the triangle DABC with vertices A(3,–5), B(–4,4), and C(–6,3) is refected over the line
y = –1, what are the coordinates of the image
of vertex C?
a. (3,–6)
b. (4,–5)
c. (4,3)
d. (6,–3)
e. (–6,–5)
16. Consider the following relative frequency distribution:
–20
y
x –10 10 20 30 40 50 60
40
30
20
10
Select all statements that are true.
a. The standard deviation is zero.
b. The distribution is symmetric about the
y-axis.
c. The median of this distribution is positive.
d. The distribution is skewed right.
e. The distribution is bimodal.
17. Which of the following is equivalent to 24a3b5 – 8a4b2 + 36ab3 – a4b2?
12b12a. 55a
b. 3ab2(8a2b3 – 9a4b2 + 36ab3)
c. 9ab2(3a2b3 + 4b – 1) 4b2d. 60a3b5 – 9a
e. 3ab2(8a2b3 – 3a3 + 12b)
30 2418. Which of the following is equivalent to ?6 3 a. 5√21 b. 20√3 c. 5√2 d. 10√2 e. 20
19. Consider the following set of numbers: {6, 16, 26, 36, 46, 56, 66, 108}
If a number is selected at random from this set,
what is the probability of selecting a number
that is divisible by 6 and 9?
a. 0.125
b. 0.25
c. 0.50
d. 0.75
e. 1.00
20. The group exercise classes at a local YMCA begin at 7 A.M. and the last class ends at
3:56 P.M. There are 10 classes offered with
4 minutes between classes. What is the dura-
tion of each class, in minutes?
21. Corn is being poured out of a silo into a pile in the form of a right circular cone. If the height
of the fnal pile is 12 feet and the volume is
324p cubic feet, what is the radius of the circu- lar base (in feet)?
322. Let m(x) = –5x + 4x3 – 3x4 and n(x) = 6x – 42x . Which of the following is equivalent to
4m(x) – 3n(x)?
a. –x(5x3 + 14x2 + 20)
b. –2x(3x3 + x2 + 10)
c. –2x(9x3 + x2 + 10)
d. –2x(9x3 – 17x2 + 10)
e. –x(x3 + 2x2 + 5)
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___
23. Two hundred parents and students in the audi- ence of a high school freshmen orientation ses-
sion were asked if they had ever heard of the
concept of student-centered learning. The
responses are tabulated as follows:
PARENTS STUDENTS
Yes 12 32 No 118 38
What is the probability that a randomly
selected member of the audience answers Yes
to this question given that the audience mem-
ber is a parent? ___3 a. 50 ___6b. 65 __3 c. 11 16
d. 35
e. 12
24. A dog boarding facility devotes __5 4
of its time to ___7dog grooming services. Of this time, 24 is spent
on bathing dogs. What fraction of its dog-
grooming time does this facility NOT devote
to bathing dogs?
25. Which of the following quadratic equations has imaginary solutions? Select all that apply.
a. 6x2 – 42 = 0
b. 3x2 + x + 8 = 0
c. 4x2 + 20 = 0
d. –8x2 + 40x = 0
e. x2 + 11x + 4 = 0
26. A family goes to an apple orchard to pick apples for autumn baking. The cost for the
excursion is a $7.50 entrance fee plus $5.00 per
pound of apples. If they want to spend no
more than $50, which of the following inequal-
ities can be used to determine the number of
pounds of apples, x, they can purchase?
a. 5.00x + 7.50 ≤ 50.00 b. 5.00 + 7.50x ≤ 50.00 c. 5.00x + 7.50 ≥ 50.00 d. 5.00 + 7.50x ≥ 50.00 e. 12.50x ≤ 50.00
27. A zip line extends from peak to peak, as shown in the diagram.
6,500 feet
3,750 feet
Zip Line4,500 feet
Horizontal Distance D
The length of the zip line is 4,500 feet. The
height of the higher peak is 6,500 feet and the
height of the lower one is 3,750 feet. What is
the approximate horizontal distance between
the two peaks?
a. 750 feet
b. 3,562 feet
c. 4,500 feet
d. 5,858 feet
e. 8,250 feet
9292
9393
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28. Which of the following is equivalent to the expression (3g2h) ⋅ (2j3gh5)? a. 72g3h6j3
b. 6g2h5j3
c. 6(gh6j)3
d. g3h6j3
e. 6g3h6j3
29. The top of a giant gumball machine is a spheri- cal glass globe with a diameter of 3 feet. What
is the volume of the tank in cubic inches?
a. 1,296p cubic inches b. 1,944p cubic inches c. 5,184p cubic inches d. 7,776p cubic inches e. 62,208p cubic inches
30. Which of the following is the solution of this system of equations?
−2x – 3y = 21
3y + 2x = 27
__3 a. x = – 2 , y = –8
b. x = 0, y = –7
c. x = 12, y = 1
d. x = 0, y = 9
e. no solution
⎧ ⎨ ⎩
31. Assume that the line passing through points A and C is tangent to the circle (centered at
point B) at point A, as shown:
32°
A
B
What is the measure of angle ABC in degrees?
32. Suppose that a random variable X has the fol- lowing probability distribution:
x –6 –2 0 3 5
P(X = x) 3__ 2
2__ 9
1__ 6
7__ 18
1__ 6
What is the expected value of X?
a. –6
b. 0
c. .1
d. 11__ 9 e. 3
C
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__________
__________
____________
___
_______
33. On an amusement park map, 1 inch corre- sponds to 750 feet. If the length of the path
from the Looper Dooper Coaster to the Over
the Falls Flume Ride on the map is 3.8 inches,
what is the actual distance between these
amusement rides?
a. 197.4 feet
b. 753.8 feet
c. 1,508 feet
d. 2,850 feet
e. cannot determine from the given
information
34. Which of the following equations has solutions that correspond to the intersection points of
the graph?
2
1
1 2 3 4
(2,2) y
x
35. Nathan spent $1,175 on equipment needed to start a power-washing business. For each deck
or fence he power-washes, he earns $50, but it
costs $6.50 in gas for each job. Determine the
number of decks or fences he must power-
wash to break even.
a. 21
b. 24
c. 27
d. 28
e. 54
36. A professional racquetball player can return a ball at 70 miles per hour. Which numerical
expression gives the speed of his return in feet
per second? 70 × 5,280a. feet per second60 × 60
b. 70 × 5,280 60 feet per second 70 × 60 × 60 c. feet per second5,280
d. 70 60 feet per second
e. 60 70 × 60 feet per second
37. Suppose that f is an invertible function with the following values:
x –6 –5 –2 0 3 8 f(x) 3 8 6 4 –2 –6
What is the value of the expression f –1(f –1(–6)), a. 2(x – 2)2 = –__2
1 x where f –1 represents the inverse function of f ?
b. –2(x – 2)2 = –__2 1 x
38. Write the following product as a decimal:c. –(x – 2)2 + 2 = –2x + 2 (30.5 × 104) × (1.2 × 10–7)
d. (x – 2)2 = x
e. –(x – 2)2 + 2 = –__2 1 x + 4
9494
9595
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39. Consider the line graphed here:
y
(8,10)
x (3,0)
Which of the following is the equation of this
line?
a. 2x – y = 3
b. x – 2y = 3
c. 2x + 3y = 6
d. 2x – y = 6
e. 2x – y = –3
40. The height of a scuba training pool in the shape of a right circular cylinder is three times
the diameter of the base. If the diameter of
the base of the cylinder is 60 feet, what is its
volume?
a. 10,800p cubic feet b. 54,000p cubic feet c. 162,000p cubic feet d. 648,000p cubic feet e. 1,944,000p cubic feet
41. Assume the point (–1,6) lies on the graph of the function y = f(x). Consider the translation
of this function given by g(x) = f(x – 7) + 2. To
what point would the given point correspond
on the graph of g(x)?
42. A tent is in the shape of a right triangular prism with dimensions shown:
60° 60°
12 ft.
8 ft.
What is its total surface area?
a. (288 + 32√3) ft.2
b. 192√3 ft.2
c. (192 + 32√3) ft.2
d. (96 + 32√3) ft.2
e. (288 + 16√3) ft.2
43. If p and q are prime numbers, what is the 2greatest common factor of 18p q, 30pq2, 12pq3?
2 3a. 180p q 2b. 12pq
c. 3pq 4 6d. 2,880p q
e. 6pq
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_______
________
_______
_______
______
______
_______
x
44. Which of the following collections of data, if any, has/have a median and a mean of 26?
I. 26, 26, 0, 26, 26
II. –22, 98, –22, 98, –22
III. 26, 26, 26, 26
a. I only
b. II only
c. III only
d. I and II
e. I, II, and III
32x – 845. Which of the following is equivalent to 4x2 – 1 ÷ 16x2 – 4x?2x – 1
2 a. 2x2 + x 2b. 2x2 + 1 1 c. x2 + x 1d. x2 + 1 2 e. 22x – x
46. Which of the following distributions has a pos- itive median? Select all that apply.
y a.
x
y b.
x
yc.
yd.
ye.
47. Assume that a and b are positive integers. Which of the following statements is/are
always true? _____ a __1I. = a + b b
II. a × b > a __ b __ _______ a b2 + a2 III. + = a b a × b
a. I and II only
b. II and III only
c. I only
d. II only
e. III only
9696
x
x
9797
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48. Consider the two squares ABCD and LMNP:
y
–4 –2
–2
2 4 6 8 10 12
2
4
6
8
M N
PL
B C
A D
x
Assume that ABCD can be transformed into
LMNP by frst translating ABCD and then
applying an appropriate dilation emanating
from the lower left vertex of the square. Which
of the following translation rule–dilation com-
binations will result in this transformation?
a. Translate using the rule (x,y) → (x + 10,y – 2) and then perform a dilation centered at
the vertex A with a scale factor of 3.
b. Translate using the rule (x,y) → (x – 10,y – 2) and then perform a dilation centered at
the vertex A with a scale factor of 3.
c. Translate using the rule (x,y) → (x – 10,y + 2) and then perform a dilation centered at
__1the vertex A with a scale factor of 3 .
d. Translate using the rule (x,y) → (x – 4,y + 2) and then perform a dilation centered at the
vertex A with a scale factor of 3.
e. Translate using the rule (x,y) → (x + 10,y – 2) and then perform a dilation centered at
__1the vertex A with a scale factor of 3 .
49. A certain probability model suggests that when a standard 8-sided die is rolled, the probability
__1 of it landing with the 4 side up is 8 . Select all
the following statements that are true.
a. In the long run, you expect to have the die
land on a 4 one-eighth of the time.
b. If you roll ten consecutive 4s, the probability
model must be invalid.
c. It is impossible to roll the die 100 times and
get only fve 4s.
d. It is possible to roll 20 consecutive 4s.
e. It is possible to roll the die 50 times and get
one 4, and to roll it another 50 times and get
thirty 4s without violating this model.
50. Jacob needs to build fve identical, adjacent rectangular pens in the backyard in such a way
that the backside of all fve pens is against the
barn, as shown.
Barn
l
w
He has 1,200 feet of fence to use to construct the
pens. Fence is not needed along the backside of
the barn. If the combined area of all fve pens
must be 70,000 square feet, create a quadratic
equation that can be used to fnd the width, w,
of one of the fve pens.
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_____
_____
_______
________
_______
_______________
51. Which of the following statements is/are true? Select all that apply.
a. The square root of a rational number must
be irrational.
b. The quotient of two nonzero rational
numbers can be an irrational number.
c. The product of two irrational numbers can
be a rational number.
d. The sum of an irrational number and a
rational number must be an irrational
number.
e. The quotient of two irrational numbers can
be irrational.
52. What is the value of x in the following dia- gram? Assume O is the center of the circle and
that OP and OK are both radii of this circle.
54. Consider the set of whole numbers {6, 12, 18, 24, . . . }. Select all of the following statements
that are true about the members of this set.
a. None of the numbers are prime.
b. All the numbers are divisible by 4.
c. None of the numbers are odd.
d. All the numbers are multiples of 6.
e. All the numbers are factors of 6.
55. A great room measures 18 feet by 22 feet and the ceiling is 10 feet high. One gallon of paint
can be used to apply one coat of paint to 300
square feet of wall or ceiling space. How many
gallons of paint will it take to paint all but the
foor of the room if three coats of paint must
be applied? Round your answer to the nearest
tenth of a foot.
56. Which of the following statements is/are true? Select all that apply.
a. √9 + √16 = √25
OK
x P
5 m
280°
51 5b. = 5
c. e = 2.71828
d. p = 314159 1 1>e. 5 7
53. Which of the following is equivalent to _______2 x (x + 1)2 ÷ x + 1?
1 – x a. x + 1 2 – xb. (x + 1)2
–(x + 2)c. x + 1 1 – xd. (x + 1)2
–(x – 1) (x + 2)e. (x + 1)2
9898
9999
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_____________
_____________________
_____________ ______________
Praxis® Core Academic Skills for Educators:
Mathematics Practice Test 1 Answers and Explanations
1. c. Observe that √500 = √10 × 10 × 5 = 10√5. Choice a is incorrect because 50 squared
does not equal 500, so √500 cannot equal 50. Choice b is incorrect because 10√50 = √10 × 10 × 50 = √5,000, not √500. Choice d is incorrect because 50√10 = √50 × 50 × 10 = √25,000, not √500. Choice e is incorrect because the 5 and 10 are switched.
2. 25,611,100. Let x represent the expected num- ber of births. Set up the following proportion:
_____19.3 x = 1,000 1,327,000,000 Solving for x yields
1,000x = (19.3)(1,327,000,000) (19.3)(1,327,000,000)x = 1,000
x = 25,611,100
3. c. The median is depicted in a boxplot as the vertical line segment occurring within the
box portion of the plot itself. Here, that line
occurs at the value 30. So, the median of the
data set is 30. Choice a is incorrect because it
represents the 25th percentile, not the
median. Choice b is incorrect because
although 22.5 is the midpoint between the
outer boundaries of the box (which occur at
5 and 40), it is not the center of the data set.
The vertical line contained within the box
depicts the median of the data set. Choice d
is incorrect because it represents the 75th
percentile, not the median. Choice e is incor-
rect because this is the maximum value of
any data point in the data set, not the middle
(or median) of the data set.
4. d. Use the distributive property on the right side. Then, gather all x-terms on the left side
and the constant terms on the right, com-
bine like terms, and fnally divide both sides
by the coeffcient of x, as follows:
9 – x = –2(2x – 3)
9 – x = –4x + 6
4x – x = 6 – 9
3x = –3
x = –1
Choice a is incorrect because when solving
for x, you divide both sides by its coeffcient,
you do not subtract it from both sides.
Choice b is incorrect because you did not
distribute the –2 to both terms within the
parentheses on the right side. Choice c is
incorrect because you did not divide both
sides by 3 in the last step. Choice e is incor-
rect because you added coeffcient of x to
both sides in the last step instead of dividing
both sides by it.
5. 467.5 minutes. Let x represent the number of minutes needed to wash 17 full-length patio
doors. Set up the following proportion: 2 patio doors 17 patio doors= 55 minutes x minutes
Cross multiply and solve for x:
2x = (17)(55)
2x = 935
x = 467.5
So, it would take Brett 467.5 minutes to wash 17
full-length patio doors.
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____
6. d. Let R be the radius of the base of the pipe. Then, the radius of the base of the tank is
8R. The volume of the pipe is pR2L, while the volume of the tank is p(8R)2L = 64pR2L. So, the volume of the tank is 64 times the
volume of the pipe. Choice a is incorrect
because you took one-half of the radius
instead of squaring it when computing the
volume of the tank. Choice b is incorrect
because you forgot to square the 8 when
computing the volumes of the pipe and
tank. Choice c is incorrect because when
squaring 8R, you mistakenly multiplied 8 by
2 instead of raising 8 to the second power.
Note that 82 = 64, not 16. Choice e is incor-
rect because you cubed the radius when
computing the volumes of the pipe and
tank, but should have squared it.
7. e. To solve this inequality, use the distributive properties on both sides of the inequality.
Then, combine like terms on each side. Take
the x-terms to the left and the constants to
the right and combine like terms again.
Then, divide both sides by the coeffcient
of x:
–4(3 – 2x) ≥ 19 + 3(x – 2) –12 + 8x ≥ 19 + 3x – 6 –12 + 8x ≥ 13 + 3x
5x ≥ 25 x ≥ 5
So, the solution set is {x | x ≥ 5}. Choice a is incorrect because when gathering the
x-terms on one side and the constant on the
other side of inequality, you add the oppo-
site of a term to one side, not the term itself.
Choice b is incorrect because in the last step,
instead of dividing both sides by 5, you sub-
tracted 5 from both sides. Choice c is incor-
rect because you did not apply the
distributive property correctly. Choice d is
incorrect because you made a sign error
when balancing the equation.
8. a. The points rise from left to right in this scat- terplot, which indicates a positive trend.
Choice b is incorrect because the points fol-
low a nonlinear graph on which the points
fall from left to right, which indicates a neg-
ative trend. Choice c is incorrect because
while the correlation is very strong (and
nonlinear), part of the time the points fall
from left to right, and part of the time they
rise from left to right; so the trend is not
positive. Choice d is incorrect because while
the points are all above the x-axis, so that the
y-values are all positive, there is no discern-
ible trend, positive or negative, apparent in
the scatterplot. Choice e is incorrect because
this is a loose negative trend since the points
tend to fall from left to right.
9. c. Of all the choices listed, this is by far the most reasonable. Choice a is incorrect
because 2,000 mm is equivalent to 20 cm,
which is less than 1 foot. Choice b is incor-
rect because 8 meters is about 24 feet, which
may be fne for a kiddie coaster, but not an
extreme roller coaster. Choice d is incorrect
because this exceeds one mile, which is way
too high. Choice e is incorrect because this is
15 feet, which may be fne for a kiddie
coaster, but not an extreme roller coaster.
10. 55 milligrams per deciliter. Add the six mea- surements and divide the sum by 6 to get
330 = 6 55 milligrams per deciliter.
100100
101101
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________ ___ __
11. d. Use the two labeled points (–4,3) and (5,–1) 14. a. A fair selection would result in each student to compute the slope:
3 – (–1) 4 4 m = = –9 = ––4 – 5 9 Choice a is incorrect because you added the
y-values and the x-values when forming the
numerator and denominator, respectively, of
the slope, but you should compute the dif-
ferences. Choice b is incorrect because the
sign is wrong. Be certain to subtract the
y-values and the x-values in the same order
when computing the slope. Choice c is
incorrect because the slope cannot be 0 since
the line is not horizontal. Choice e is incor-
rect because this is the reciprocal of the
slope; remember, the slope of a line is the
change in y-values divided by the change
in x-values.
12. a, c, and e. A factor of a whole number must divide it evenly. Observe that 4 = 22, which
divides 23 evenly;
12 = 22 × 3, which divides 23 × 32 evenly; and 72 = 23 × 32, which clearly divides 23 × 32 evenly. Choice b is not a correct selection because 7 is
not a prime factor listed in the given product
and so cannot divide it evenly. Choice d is not a
correct selection because 50 = 2 × 52, which has one more factor of 5 than occurs in the given
product, so it cannot divide it evenly.
13. 12 hours. Let x be the number of hours beyond 40 that Pamela must work to attain her goal.
Her salary for the frst 40 hours is 40(15) = 600
dollars. Since she earns double per hour beyond
40 hours, her salary for working x hours beyond
40 is 30x dollars. The sum of these two dollar
amounts must equal $960. This yields the equa-
tion 600 + 30x = 960. Solve for x as follows:
600 + 30x = 960
30x = 360
x = 12
So, Pamela must work 12 hours beyond the ini-
tial 40 to reach her earning goal.
having an equal chance of being selected.
However, if 6 students have frst names start-
ing with the letter M, while 14 have frst
names starting with the letter B, then stu-
dents do not have an equal chance of being
selected. Choice b is incorrect because ran-
dom selection can be done with letters or
numbers or without any assignment of
either depending on the method used.
Choice c is incorrect because while each let-
ter has an equal chance of being selected, the
goal is to select a student, and the number of
frst names beginning with each letter can
be, and likely are, different. Choice d is
incorrect because to be fair, each student
should have an equal chance of being
selected whether his or her name is common
or not. Choice e is incorrect because the size
of the class is not the deciding criterion on
fairness of the method. This issue is that
there may not be an equal number of stu-
dents whose frst names begin with each
letter.
15. e. When refecting a point across the line y = –1, the x-coordinate will stay the same,
but the y-coordinate will change. You sub-
tract 3 – (–1) = 4 and add this to –1 to get
the new y-coordinate. So, the image of vertex
C is (–6,–5). Choice a is incorrect because
this is the image across the line y = x. Choice
b is incorrect because while the y-coordinate
is correct, the x-coordinate should not
change when refecting across the line
y = –1. Choice c is incorrect because this is
the image across the line x = –1, not y = –1.
Choice d is incorrect because this is the
image across the origin, meaning that it is
refected about the y-axis and then the
x-axis.
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16. c and d. Choice a is not a correct selection because the only way the standard deviation can
be zero is if there is a single data value, which is
not the case here. Choice b is not a correct
selection because if you fold the distribution
over the y-axis, the graph does not line up, so it
is not symmetric. Choice c is a correct selection
because the median is the data value that
divides the data in half. In this distribution, the
data value that does this occurs within the bar
on the 10, which is positive. Choice d is a cor-
rect selection because the bulk of the data is to
the right of the data value 10. Choice e is not a
correct selection because there are 5 data values
with the same relative frequency.
17. e. First, combine the second and fourth terms since they have the same variable part (and
so are like terms): 24a3b5 – 9a4b2 + 36ab3.
Now, factor out the greatest common factor 33ab2 from all terms to get: 3ab2(8a2b3 – 3a
+ 12b). Choice a is incorrect because you
cannot add all four terms together like this.
When monomials have the same variable
part, you can add/subtract their coeffcients.
If they do not have the exact same variable
part, you cannot combine them. Choice b is
incorrect because when you factor out a
greatest common factor, you must do so
from all terms, not just the frst one in an
expression. Choice c is incorrect because 9 is
not a common factor of all terms in the sim-
plifed expression 24a3b5 – 9a4b2 + 36ab3.
Choice d is incorrect because you cannot
combine the frst and third terms of the
given expression since their variable parts
are different.
18. d. Use the properties of radicals, together with the way fractions are multiplied, to simplify
the expression:
30 24 30 24= ⋅66 3 3
= 5 ⋅ 24 3
= 5 8
= 5 4 ⋅ 2
= 5 4 ⋅ 2
= 5 ⋅2 ⋅ 2
=10 2
Choice a is incorrect because you subtracted
the radicands instead of dividing them. ___ aRemember, √ √
a b = b . Choice b is incorrect
because you cannot cancel the 6 in the
denominator with the 24 in the radicand in
the numerator. Choice c is incorrect because
you did not simplify √8 correctly. Choice e is incorrect because you cannot cancel the 3 in
the denominator with the 30 in the radicand
in the numerator, and you cannot cancel the
6 in the denominator with the 24 in the radi-
cand in the numerator.
102102
103103
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19. b. A number is divisible by 6 if it is even and its digit sum is divisible by 3. The numbers in the
set for which this is true are 6, 36, 66, and 108.
A number is divisible by 9 if its digit sum is
divisible by 9. The numbers in the set for
which this is true are 36 and 108. So, the prob-
ability that a number selected randomly from __2 __1this set satisfes both conditions is = 4 , or8
0.25. Choice a is incorrect because it repre- __1 sents 8 . There are 2 numbers divisible by 6
and 9: 36 and 108. Choice c is incorrect
because this is the probability that the number
selected is divisible by 6; you did not account
for the fact that it must also be divisible by 9.
Choice d is incorrect because this is the proba-
bility of the complement of the event. Choice
e is incorrect because this would mean all
members of the set are divisible by 6 and 9.
But 26 is divisible by neither of these, for
instance.
20. 50 minutes. The amount of time between 7 A.M. and 3:56 P.M. is 8 hours 56 minutes, which
equals 8(60) + 56 = 536 minutes. Since there
are 10 classes, we must subtract 4 minutes times
9 to account for the time between consecutive
classes. This gives 36 minutes. Subtracting this
from 536 gives 500 minutes, which is evenly
divided among 10 classes. This means each class
lasts 50 minutes.
21. 9 feet. The volume of a right circular cone with radius r and height h is given by the formula
V = __3 1 pr2h. Substituting h = 12 and V = 324p
yields the equation __3 1 p · 12 · r2 = 324p. Solving
for r2 yields 4p × r2 = 324p, or r2 = 81. So, r = 9 feet.
22. b. To compute 4m(x) – 3n(x), frst distribute 4 through each term of m(x) and distribute
the 3 through each term of n(x), and then
add like terms. Finally, factor out the great-
est common factor from all terms.
4m(x) – 3n(x) = 4(–5x + 4x3 – 3x4) – 3(6x3 – 2x4)
= –20x + 16x3 – 12x4 – 18x3 + 6x4
= –6x4 – 2x3 – 20x
= –2x(3x3 + x2 + 10)
Choice a is incorrect because you did not
apply the distributive property correctly
when computing 4m(x) and 3n(x). Multiply
each term of the expressions m(x) and n(x)
by 4 and –3, respectively. Choice c is incor-
rect because you applied the negative 1 to
only the frst term of n(x). You must distrib-
ute it to all terms. Choice d is incorrect
because you added the polynomials instead
of subtracting them. Choice e is incorrect
because you ignored the constant multiples
of m(x) and n(x).
23. b. This is a conditional probability question. Since we are given that the audience member
is a parent, we reduce the sample space
down from 200 members to 130. Of these,
12 answer Yes. So, the probability we seek is ____12 ___6 = 65 . Choice a is incorrect because you130 divided 12 by 200, so you did not restrict the
sample space down to only those who are
parents. Choice c is incorrect because you
used the wrong given information. Specif-
cally, you are given that the audience mem-
ber is a parent, not that the audience
member answers Yes. Choice d is incorrect
because this is the probability that an audi-
ence member answers Yes given that the
audience member is a student, not a parent.
Choice e is incorrect because this is the
number of parents who answer Yes, but
it is not a probability.
–PRAXIS® CORE ACADEMIC SKILLS FOR EDUCATORS: PRACTICE TEST 1–
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___
___ ___
2324. 30 . To determine the fraction of dog-grooming time that the facility devotes to bathing dogs,
__4 ___7 ___7 multiply as follows: = 30 . So, the facility5 × 24 spends 1 – 7 = 30
23 of its dog grooming on30 activities other than bathing dogs.
25. b and c. Choice a is not a correct selection. The solutions are ±√7, which are real numbers. Choice b is a correct selection. The discriminant
is 12 – 4(3)(8) = –95 < 0, so the solutions are
imaginary. Choice c is a correct selection. Since
4x2 + 20 is always positive, it can never equal
zero. So, the equation 4x2 + 20 = 0 has no real
solutions. Choice d is not a correct selection.
The solutions are –5 and 0, which are real num-
bers. Choice e is not a correct selection. The dis-
criminant is 112 – 4(1)(4) = 105 > 0, so the
equation has two distinct real solutions.
26. a. The cost for x pounds of apples is 5.00x dol- lars. This, plus the entrance fee of $7.50,
cannot exceed $50. This yields the inequality
5.00x + 7.50 ≤ 50.00. Choice b is incorrect because 5.00 and 7.50 should be inter-
changed. Choice c is incorrect because the
inequality sign should be reversed. Choice d
is incorrect because 5.00 and 7.50 should be
interchanged, and the inequality sign should
be reversed. Choice e is incorrect because the
entrance fee plus the cost of a pound of
apples should not be multiplied by the num-
ber of pounds of apples purchased.
27. b. First, construct a right triangle whose hypot- enuse is the zip-line (4,500 feet), whose
height is the difference between the heights
of the two peaks (2,750 feet), and whose
base is the horizontal distance we seek, D.
2,750 ft. 4,500 ft.
D
Use the Pythagorean theorem to determine
the value of D: 2,7502 + D2 = 4,5002, which
simplifes to D2 = 12,687,500, so that
D = √12,687,500 ≈ 3,562 feet. Choice a is wrong because when applying the Pythago-
rean theorem, you forgot to square the sides.
Choice c is wrong because this is a right tri-
angle, so the two longest sides cannot have
the same length. Choice d is wrong because
when applying the Pythagorean theorem,
you treated the zip line as a leg when it is the
hypotenuse. Choice e is wrong because when
applying the Pythagorean theorem, you
treated the zip line as a leg when it is actually
the hypotenuse, and you forgot to square the
sides.
28. e. Gather like variables in the product and add their exponents:
2(3g2h) · (2j3gh5) = (3 · 2)(g · g) · (h · h5) · (j3)
= 6g3h6j3
Choice a is wrong because you applied the
exponents of the adjacent variable to each
coeffcient, but this would require there to
be another set of parentheses. Specifcally,
(3g)2 = 32g2, but this does not equal 3g .
Choice b is wrong because you multiplied
the exponents instead of adding them.
Choice c is wrong because the power on h
should be 2 in this form. Choice d is wrong
because you ignored the coeffcients.
104104
2
105105
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__ __ __ __ ___ ___
29. d. The radius of the globe is 1.5 feet, which equals 18 inches (since 1 foot = 12 inches).
The volume of a sphere with radius r is __4 3 3 pr . Substituting r = 18 inches into this formula gives a volume of 7,776p cubic inches. Choice a is wrong because this is the
surface area, not the volume; the volume __4 3formula is 3 pr . Choice b is wrong because
you need to multiply by 4; the volume for- __4 3mula is 3 pr . Choice c is wrong because this
would be the surface area, not the volume, of
a sphere with radius 3 feet (or 36 inches).
You used the wrong formula and used the
diameter in place of the radius. Choice e is
wrong because you used the diameter in
place of the radius when computing the
volume.
30. c. The most expedient approach is to use the elimination method because simply adding
the equations will result in the y-terms can-
celing. Doing so yields 4x = 48, so that
x = 12. Substituting this value into the frst
equation yields 2(12) – 3y = 21. This is
equivalent to –3y = –3, so that y =1. Thus,
the solution is x = 12, y = 1. Choice a is
incorrect because you subtracted the left
sides of the equations, but added the right
sides. Choice b is incorrect because this pair
satisfes the frst equation, but not the sec-
ond one; hence, it is not a solution of the
system. Choice d is incorrect because this
pair satisfes the second equation, but not
the frst one; hence, it is not a solution of the
system. Choice e is incorrect because adding
the equations yields an equation for which
there is a value of x; substituting this value
into either equation then yields the corre-
sponding value of y.
31. 58 degrees. Since the line passing through A and C is tangent at point A, the radial segment
connecting the center, B, to A is perpendicular
to it. So, the triangle ABC is a right triangle.
Since the sum of the three interior angles of a
triangle is 180 degrees, the measure of angle
ABC must be 58 degrees.
32. d. To compute the expected value of such a random variable, multiply x times P(X = x)
and sum all of them. Doing so yields: ___1 __2 __1 ___7 __1(–6)( 18 ) + (–2)( 9 ) +0( 6 ) +3( 18 ) + 5( 6 )
1 4 7 5 22 11 = – – 9 + 6 + = = 9 .3 6 18 Choice a is wrong because this is the mini-
mum value of the data set, not the expected
value. Choice b is wrong because you added
the x-values, but did not multiply each one
by P(X = x). Choice c is wrong because you
summed the probabilities, which must add
to 1, but you must multiply each one by its
respective value of x. Choice e is wrong
because even though this value of x has the
highest probability associated with it, the
expected value is not simply this value.
Rather, you must multiply each value of X
by its probability of occurring and sum
those values.
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________ __________
____________________
________
__________
__________
33. d. Let x represent the actual distance between the two rides. Using the information pro-
vided, we have the following proportion:
1 inch 3.8 inches = 750 feet x feet
(1 inch)(x feet) = (750 feet)(3.8 inches) (750 feet)(3.8 inches)x = 1 inch
= 2,850 feet
Solving for x yields x = 2,850 feet. Choice a
is wrong because you set up the proportion
incorrectly; you should be multiplying
750 by 3.8, not dividing by it. Choice b is
wrong because you simply added 750 feet to
3.8 inches, which is incorrect. You must set
up a proportion consisting of two ratios, one
corresponding to what 1 inch represents and
one corresponding to what 3.8 inches repre-
sents. Choice c is wrong because you seem to
have misunderstood how to work with pro- 1 inch portions. Set up the proportion = 750 feet
3.8 inches and solve for x. Choice e is wrongx feet because you can set up the following pro-
portion, where x represents the actual
length of the path: ________1 inch 3.8 inches = 750 feet x feet
34. b. You must determine the equation of the parabola and the line and equate them.
The equation of the parabola has the form
y = a(x – h)2 + k. The vertex is (2,2), so this
becomes y = a(x – 2)2 + 2. To fnd a, use
one of the labeled x-intercepts, say (1,0).
Substitute this into the equation to obtain
0 = a(1 – 2)2 + 2. Solving for a yields a = –2.
So, the equation of the parabola is
y = –2(x – 2)2 + 2. To fnd the equation of
the line in slope-intercept form y = mx + b,
use the two labeled points to fnd the slope: _____2 – 0 __1 m = 2 . Since the y-intercept is 2, the0 – 4 = –
__1 equation of the line is y = – 2 x + 2. Equating __1these the equation –2(x – 2)2 + 2 = – 2 x + 2.
The solutions of this equation would yield
the x-coordinates of the points of intersec-
tion of the two graphs shown. Canceling the
constant 2 on each side yields the simplifed
equation –2(x – 2)2 = –__2 1 x. Choice a is
wrong because the coeffcient on the left side
should be –2 since the parabola opens
downward. Otherwise, the equation is cor-
rect. Choice c is wrong because there are
errors in the equation of the parabola and
the line. The coeffcient on the left side __1should be –2 and the slope of the line is – 2 ,
not –2. Choice d is wrong because this is the
result of getting the slope wrong for the line; __1it is – 2 , not –2. Choice e is wrong because
there are errors in the equation of the parab-
ola and the line. The coeffcient on the left
side should be –2 and the y-intercept of the
line is 2, not 4.
106106
107107
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________ ________ _______________ _________
__________
35. d. You must express proft as an expression involving the number of decks or fences
power-washed. The $1,175 spent on materi-
als is negative proft, so it will appear as
–1,175 in the expression. Next, since Nathan
earns $50 per deck or fence power-washed
and it costs $6.50 per job, his net gain per
job is $50 – $6.50 = $43.50. This is constant,
so the proft gained from power-washing
x fences or decks is 43.50x dollars. The
expression describing his proft is thus
43.50x – 1,175. Now, to compute the break-
even point, we need to determine the num-
ber of decks or fences power-washed that
will yield a proft of 0 dollars. This requires
that we solve the equation 0 = 43.50x
– 1,175:
0 = 43.50x – 1,175
1.175 = 43.50x
27.01 ≈ x You must round up and conclude that
Nathan will break even after power-washing
28 decks or fences. Choice a is wrong
because you mistakenly included the cost of
gas, $6.50 per job, as proft rather than as
debt. For each deck or fence power-washed,
he earns $50 – $6.50, not $50 + $6.50.
Choice b is wrong because you did not
account for the cost in gas for each job.
Choice c is wrong because you must round
up, not down, to ensure he has earned
enough cash to break even. Choice e is
wrong because this is the number of drive-
ways Nathan must clear to earn $1,175 in
proft, not just break even.
36. a. There are 60 minutes in one hour and 60 seconds in one minute. So, there are 60 × 60 seconds in one hour. There are 5,280 feet in
a mile. Using these enables us to convert
from miles per hour to feet per second as
follows: 70 miles 70 miles 1 hour = ×1 hour 1 hour 1 mile60 × 60 seconds ×
5,280 feet
70 × 5,280= feet per second60 × 60
Choice b is wrong because there are 60 × 60 seconds in one hour, not just 60. Choice c is
wrong because when setting up the conver-
sion, you inverted both fractions. Choice d is
wrong because you did not account for the
fact that there are 5,280 feet in one mile.
Also, there are 60 × 60 seconds in one hour. Choice e is wrong because you did not
account for the fact that there are 5,280 feet
in one mile.
37. –5. Use the fact that y = f(x) if and only if x = f –1(y). Using this with the table shows that
f –1(–6) = 8 and f –1(8) = –5. Thus, f –1(f –1(–6)) =
f –1(8) = –5.
38. 0.0366. The most effcient approach is to group the powers of 10 together and the two decimals
together. Simplify each, and then convert the
resulting expression to a decimal.
(30.5 × 104) × (1.2 × 10–7) = (30.5 × 1.2) × (104 × 10–7)
= 36.6 × 10–3
= 0.0366
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______ __
__
39. d. Use the two labeled points on the line—(3,0) and (8,10)—to compute the slope:
10 – 0 10 m = = = 2. Using point-slope form8 – 3 5 with the point (3,0) yields y – (0) = 2(x – 3).
This simplifes to y = 2x – 6, which is equiva-
lent to 2x – y = 6. Choice a is wrong because
when converting the equation from point-
slope formula (namely y = 2(x – 3)) to stan-
dard form, you did not distribute the 2 to
both terms in parentheses on the right side.
Choice b is wrong because you calculated
the slope incorrectly; it should be the change
in y-coordinates divided by the change in
x-coordinates, not the reciprocal. Choice c is
wrong because you computed the slope by
subtracting the x-coordinates from the
y-coordinates of each point, but the slope is
computed as the change in y-coordinates
divided by the change in x-coordinates.
Choice e is wrong because you mistakenly
treated the point (3,0) as the y-intercept
and used b = 3 in the slope-intercept form
y = mx + b. But it is the x-intercept.
40. c. The height is 3(60 feet) = 180 feet and the radius is 2
1 (60 feet) = 30 feet. So, the volume
of the cylinder is
V = pr2h = p(30 feet)2(180 feet) = 162,000p cubic feet
Choice a is wrong because you used the
diameter in place of the radius, and forgot to
square the radius when computing the vol-
ume. Choice b is wrong because you used the
formula for the volume of a right circular
cone V = __3 1 pr2h, but the volume of a cylinder
does not include a multiple of __3 1 . Choice d is
wrong because you used the diameter in place
of the radius when computing the volume.
Choice e is wrong because you misinter-
preted the relationship between the radius
and the height. Specifcally, the given infor-
mation means that the height is 3(60 feet),
not that the radius is 3(60 feet).
41. (6,8). You need to translate the given point 7 units to the right and 2 units upward. Conse-
quently, the point (–1,6) translates to the point
(–1 + 7, 6 + 2) = (6,8).
42. a. The tent is made up of fve faces. The front and the back of the tent are congruent equi-
lateral triangles. Dropping an altitude from
the top vertex to the opposite side gives the
height of the triangle. This creates a 30-60-
90 triangle, so the height is 4√3 feet. Thus, the area of the front and back is
(4√3 ft.)(8 ft.) = 16√3 ft.2; so their combined area is 32√3 ft.2. The other three faces of the tent are congruent rectangles with width 8
feet and length 12 feet, so each has an area of
(8 ft.)(12 ft.) = 96 ft.2. Their combined area
is 3(96) = 288 ft.2. Therefore, the surface
area is (288 + 32√3) ft.2. Choice b is the vol- ume, not the surface area. Choice c did not
include the bottom of the tent. Choice d did
not include the two top side portions of the
tent. Choice e included only one of the two
triangular sides of the tent (that is, you for-
got either the front or the back).
43. e. The largest whole number that goes into all of 18, 30, and 12 is 6. The largest power of p
2that goes into all of 18p q, 30pq2, 12pq3 is p,
and the largest power of q that goes into all
of these terms is q. So, the greatest common
factor is 6pq. Choice a is the least common
multiple. Choice b is wrong because 12 is
not a factor of 18 or 30, and the power of q
is not correct. Choice c is a common factor
of all three terms, but is not the greatest
common factor. Choice d is the product of
all three terms; this is a common multiple,
but not a common factor.
108108
109109
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______
_______
______
_______ _________ _______ _________
_______________ __________
_________
_______
_________
_______
_________
_______
44. c. First, arrange the members of each data set in increasing order. Then, compute each of
their means and medians.
I. 0, 26, 26, 26, 26
II. –22, –22, –22, 98, 98
III. 26, 26, 26, 26
The median for I is 26, but the mean is 26(4)
5 = 20.8. So, the mean is not 26.
The median for II is –22, which is not 26. 26 + 26The median for III is = 26. The mean2
26(4)is = 26.4 45. a. Transform the division problem into a mul-
tiplication problem. Then, factor all numer-
ators and denominators and cancel factors
common to the numerator and denomina-
tor, as follows: 32x – 8 16x2 – 4x 32x – 8 2x – 1 = · 4x2 – 1 ÷ 2x – 1 4x2 – 1 16x2 – 4x
28(4x – 1) 2x – 1 = (2x – 1)(2x + 1) · 4x(4x – 1) 2 = x(2x + 1)
2 = 2x2 + x
Choice b is incorrect because you did not
distribute the x through both terms in the
denominator when simplifying 2 x(2x + 1).
Choice c is incorrect because you incorrectly
canceled the 2’s in numerator and denomi-
nator of 2 ; these are terms, not factors,2x2 + x and cannot be canceled in this manner.
Choice d is incorrect because you did not
distribute the x through both terms in the 2denominator when simplifying x(2x + 1), and
you incorrectly canceled the 2’s in numera-
tor and denominator of 2 ; these are2x2 + x terms, not factors, and cannot be canceled
in this manner. Choice e is incorrect because
you canceled the wrong factor in the
denominator with 2x – 1 in the numerator.
46. b and c. Choices a and d are not correct selec- tions because the bulk of the data (more than
50%) are to the left of the y-axis, so the median
is negative. Choices b and c are correct selec-
tions because more than 50% of the data are to
the right of the y-axis, so the median is posi-
tive. Choice c is not a correct selection because
the median is 0.
47. e. Statement I is false because it is the result of incorrectly canceling common terms, not
factors, in the numerator and denominator.
This is never true when a and b are positive
integers. In fact, the only way it can be true
is if either a or b is zero. Statement II is false
because if b = 1, then a · b = a. Statement III
is true because this is the way fractions are
added. The common denominator is ab.
Multiplying the top and bottom of frst frac-
tion by b and the top and bottom of the sec-
ond fraction by b and then adding the
fractions yields this statement.
48. c. First, observe that to move A to A' , we must move the point left 10 units and then up 2
units. The translation rule (x,y) → (x – 10, y + 2) describes this action. Applying this to
all points of the square ABCD moves it to a
new location in the plane. Now, observe that
this square is larger than LMNP so that the
scale factor must be less than 1. Observe that
A' B' is three times the length of AB; the same is true of the other three pairs of sides
since it is a square. So, the scale factor should __1be 3 . Choice a would be used to transform
square LMNP into ABCD. Choice b used the
wrong scale factor; this would create a
square three times larger than ABCD. Choice
d is wrong because you did not pay attention
to the value of the hash marks when forming
the translation rule. Choice e is wrong
because while the scale factor is correct, the
translation rule moves ABCD to the right
and down rather than left and up.
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___
__________
___
___
___
____ __
49. a, d, and e. Choice a is a correct selection because this is the very defnition of probability.
Choice b is not a correct selection because the
model suggests a long-run likelihood of getting
a 4. No defnitive conclusion can be drawn from
just ten rolls of the die, though if you were to
continue to roll the die and repeatedly get a 4
and no other number, then the validity of the
model could be called into question. Choice c is
not a correct selection because the model sug-
gests a long-run likelihood of getting a 4. No
defnitive conclusion can be drawn from 100
rolls of the die, though it does suggest that the
model may be incorrect. Choice d is a correct
selection because the model suggests a long-run
likelihood of getting a 4. No defnitive conclu-
sion can be drawn from just 20 rolls of the die.
Choice e is a correct selection because the
model suggests a long-run likelihood of getting
a 4. Such rolls are independent of each other
and certainly can come out this way and not
contradict the model.
2550. 6 w2 + –1,000w + –70,000 = 0. Since the fve pens are identical and no fence is needed along
the backside by the barn, there are fve sides of
length w and six sides of length l that need fenc-
ing. Since Jacob has 1,200 feet of fence to use to
construct all fve pens, the sum of the lengths of
all sides of the fve pens must be 1,200. This
leads to the following equation relating w and l:
5w + 6l = 1,200. Next, the combined area of the
fve pens is (5w) · l. To get an expression in
terms of only w, solve the perimeter equation
for l and substitute it in: 1,200 – 5w5w + 6l = 1,200 ⇒ l = 6
The combined area of the pens is 1,200 – 5__________ w 25___ 2(5w) · l = (5w) · = 1,000w – 6 6 w
We are given that the combined area is to be
70,000 square feet. To fnd the width of each
pen, we equate the expression for the area to 2570,000: 1,000w – 6 w
2 = 70,000. Take all terms
to the right side to get the equivalent equation 25 6 w
2 – 1,000w – 70,000 = 0.
51. c, d, and e. Choice a is not a correct selection because the square root of any perfect square is
rational; for instance, √9 = 3. Choice b is not a correct selection because the set of rational
numbers is closed under division, so the quo-
tient must be rational. Choice c is a correct
selection because √2 · √2 = 2, for instance. Choice d is a correct selection by the very
nature of how rational and irrational numbers
behave. Choice e is a correct selection because 2 = 1 6, which is irrational.33
2052. 9 p meters. Since the radius of the circle is 5 meters, the circumference of the entire circle
is 2pr = 10p meters. The central angle opposite the arc whose length we seek, labeled x, is 80°.
So, the portion of the circle to which this arc 80 2 corresponds is 360 = 9 . So, the length, x, of
__2 ___this arc is 9 · 10p meters = 20 9 p meters.
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_______ _____ _______ ________
___________
___________
____________
______________
53. e. First, write each fraction with the least com- mon denominator (x + 1)2. Then, subtract
the numerators by simplifying each expres-
sion and then combining like terms, as
follows: 2 x 2 x(x + 1)– = – (x + 1)2 x + 1 (x + 1)2 (x + 1)2
2 – x(x + 1)= (x + 1)2 2 – x2 – x = (x + 1)2
–(x2 + x – 2)= (x + 1)2 –(x – 1)(x + 2)= (x + 1)2
Choice a is wrong because you did not dis-
tribute x to both terms when simplifying the
product x(x + 1). Choice b is wrong because
you subtracted the numerators without frst
converting the second fraction to an equiva-
lent one whose denominator is (x + 1)2.
Choice c is wrong likely because of factoring
55. 12 gallons. Two of the walls have dimensions 18 feet by 10 feet; the combined area of these
two walls is 2 · (18 · 10) feet2 = 360 feet2. The
other two walls have dimensions 22 feet by
10 feet; the combined area of these two walls is
2 · (22 · 10) feet2 = 440 feet2. The ceiling has
dimensions 18 feet by 22 feet, so its area is
396 feet2. The total square footage that must be
painted is 360 + 440 + 396 = 1,196 square feet.
This must be multiplied by 3 to apply three
coats, giving the total square footage to be
3,588 square feet. Finally, divide this by 300 to
obtain 11.96 gallons of paint, which we round
to 12.
56. b and e. Choice a is not a correct selection because the left side equals 7, but the right side
equals 5. Choice b is a correct selection because
using the properties of radicals yields 1 1 ⋅ 5 51
5x2 + x – 2 incorrectly. Choice d is wrong . Choices c and d are= = = 5 5 ⋅ 5 5 because you did not distribute x to both
terms when simplifying the product x(x + 1)
and you used (x + 1)3 as the least common
denominator instead of (x + 1)2, but in so
doing did not multiply the numerator and
denominator of the frst fraction by x + 1 to
convert it to an equivalent fraction with this
denominator.
54. a, c, and d. Choice a is a correct selection because each number in this set has 2, 3, and 6
as factors and so cannot be prime. Choice b is
not a correct selection because 6, for instance, is
not divisible by 4. Choice c is a correct selection
because every number in this set is divisible by
2 and hence is even, not odd. Choice d is a cor-
rect selection because every number in this set
is of the form 6n for some whole number n,
which means each number is a multiple of 6.
Choice e is not a correct selection because you
are confusing the term factor with multiple. For
the members of this set to be factors of 6, they
must all divide into 6 evenly. The only one for
which this is true is 6 itself, because all the other
members are larger than 6.
both not correct selections because e and p are irrational and so cannot be equal to fnite deci-
mals; these are only approximations. Choice e is __1 __1 a correct selection because 5 > 7 and taking the
square root of both sides retains the inequality.
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4 PRAXIS® CORE ACADEMIC SKILLS FOR EDUCATORS: PRACTICE TEST 2
CHAPTER SUMMARY Here is your second full-length test for each Praxis® Core Aca- demic Skills for Educators test: Reading, Writing, and Mathe- matics. Now that you have completed the first practice test, take these tests to see how much your score has improved.
Like Chapter 3, this chapter contains three full-length tests that mirror the Reading, Writing, and Math-ematics Core tests. Although the actual exam you will take is computer-based, the question types for each exam are replicated here for you in the book. This time, as you take these practice tests, you should simulate the actual test-taking experience as closely
as you can. Find a quiet place to work where you won’t be disturbed. Follow the time constraints noted at the
beginning of each test.
After you fnish taking your tests, review the answer explanations. (Each individual test is followed by its
own answer explanations.) See A Note on Scoring on page 375 to fnd information on how to score your exam.
Good luck!
To access online PRAXIS Core practice that provides instant scoring and feedback: • Navigate to your LearningExpress platform and make sure you’re logged in. • Search for the following subtests, select one, and then click “Start Test.” • Praxis Core: Reading Practice Test 2 • Praxis Core: Mathematics Practice Test 2 • Praxis Core: Writing Practice Test 2
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Praxis® Core Academic Skills for Educators:
Reading Practice Test 2
Time: 85 Minutes
Directions: Read the following passages and answer
the questions that follow.
Use the following passage to answer questions 1
through 4.
Commuting to an offce was once the work-
force norm, but communication technologies
such as e-mail and Skype have made working
from home a desirable and common option for
5 an increasingly large number of today’s work-
ers. Working from home—or telecommuting—
has a number of benefts that working in an
offce simply does not offer. The time clock
does not rule telecommuters, forcing them to
10 complete their duties between nine and fve.
Telecommuters can perform their duties
according to their own schedules. Plus, they
don’t have to work with managers breathing
down their necks or with potentially distracting
15 coworkers. It’s no surprise that 47% of telecom-
muters are “very satisfed” with their work situ-
ations, as opposed to the paltry 27% of
traditional commuters who are “very satisfed”
with theirs. Job satisfaction is not just a boon to
20 the worker; it also benefts the employer,
because when workers are happier with their
jobs, they are more productive. Furthermore,
when they do not have to punch out at 5:00
P.M., Monday through Friday, employees are
25 more likely to work late nights or weekends
until their projects are completed.
1. Which of the following statements best describes the relationship between telecom-
muting and job satisfaction?
a. Telecommuting is a problem and job
satisfaction is a solution.
b. Telecommuting is a cause and job
satisfaction is an effect.
c. Telecommuting is an idea and job
satisfaction is supporting evidence.
d. Telecommuting is an idea and job
satisfaction is an explanation.
e. Telecommuting is a view and job satisfaction
is a contrasting view.
2. In order to evaluate the validity of the author’s claim regarding the percentage of telecommut-
ers who are “very satisfed” with their jobs, it
would be most helpful to know which of the
following?
a. the companies that employ these
telecommuters
b. the names of the people polled
c. how many people are “somewhat satisfed”
d. the source of the statistic
e. the defnition of “very satisfed”
3. Which off the following is an unstated assump- tion the author of the passage makes?
a. Skype is a more useful communication
technology than e-mail is.
b. Working from home did not exist before
communication technologies such as Skype
and e-mail.
c. Companies should ban traditional
commuting altogether.
d. Traditional commuters will go home at 5:00
even if they have work to complete.
e. There are no benefts to spending one’s day
with coworkers.
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4. Which of the following conclusions can be made from the passage?
a. Companies that make telecommuting an
option for their employees are likelier to be
successful than ones that don’t.
b. Traditional commuting will likely cease to
exist sometime in the near future.
c. Companies that rely on traditional
commuters will have to make the work day
longer to compete with ones that allow
telecommuting.
d. Telecommuting has a negative impact on the
economy, because it means the sale of fewer
cars and less gasoline.
e. Offce managers at companies that do not
allow telecommuting are incapable of
increasing offce productivity.
Use the following passage pair to answer questions 5
through 8.
Passage 1
Many studies make it clear that sleep depriva-
tion is dangerous. Sleep-deprived people who
are tested by using a driving simulator or by
performing a hand-eye coordination task per-
5 form as badly as or worse than those who are
intoxicated. Sleep deprivation also magnifes
alcohol’s effects on the body, so a fatigued per-
son who drinks will become much more
impaired than someone who is well rested.
10 Since drowsiness is the brain’s last step before
falling asleep, driving while drowsy can—and
often does—lead to disaster. Caffeine and other
stimulants cannot overcome the effects of
severe sleep deprivation.
Passage 2
I used to have terrible trouble sleeping—or
more accurately—staying asleep. The cause was
not psychological but physical. I would wake up
in the middle of the night with severe lower
5 back pains and be unable to fall back to sleep
for as much as four hours. I initially thought
the cause of this pain was my daytime activities.
Perhaps I was exercising improperly or I was
lugging around too much weight in my back-
10 pack during my morning and evening com-
mutes. Ultimately, I realized the problem was
my mattress. The pillow-top mattress on my
bed seemed so comfortable in the showroom,
but it does not provide uniform body support.
15 Not long after purchasing a new, medium-frm
mattress, I enjoyed my frst night of uninter-
rupted sleep in years.
5. For which of the following situations would information in both Passage 1 and Passage 2 be
useful?
a. improving one’s health
b. selecting the best mattress
c. understanding the effects of caffeine
d. writing an essay on hand-eye coordination
e. evaluating the effectiveness of sleeping pills
6. Which of the following statements best describes the relationship between the two
passages?
a. Passage 1 describes a cause and Passage 2
describes an effect.
b. Passage 1 describes the frst step in a process,
and Passage 2 describes the next step.
c. Passage 1 describes a problem, and Passage 2
describes a possible solution.
d. Passage 1 describes a general principle, and
Passage 2 describes a specifc detail.
e. Passage 1 describes a condition, and Passage
2 contrasts it by describing the opposite
condition.
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7. The author of Passage 2 explains that he thought his daytime activities caused his back
pains to
a. imply that his conclusions may not be
entirely reliable.
b. indicate that understanding the cause of
back pains can be diffcult.
c. explain all the possible causes of back pains.
d. prove that the source of back pains can
never be explained defnitively.
e. show that he was putting too much strain on
his back during the daytime.
8. In Passage 1, the term impaired most nearly means
a. sentient.
b. apprehensive.
c. disturbed.
d. blemished.
e. hampered.
Use the following passage to answer questions 9
through 12.
Necessity is the frst lawgiver; all the wants that
had to be met by this constitution were origi-
nally of a commercial nature. Thus, the whole
constitution was founded on commerce, and
5 the laws of the nation were adapted to its pur-
suits. The last clause, which excluded foreigners
from all offces of trust, was a natural conse-
quence of the preceding articles. So compli-
cated and artifcial a relation between the
10 sovereign and his people, which in many prov-
inces was further modifed according to the
peculiar wants of each, and frequently of some
single city, required for its maintenance the
liveliest zeal for the liberties of the country,
15 combined with an intimate acquaintance with
them. From a foreigner, neither could well be
expected. This law, besides, was enforced recip-
rocally in each particular province; so that in
Brabant no Fleming, and in Zealand no Hol-
20 lander could hold offce; and it continued in
force even after all these provinces were united
under one government.
Above all others, Brabant enjoyed the
highest degree of freedom. Its privileges were
25 esteemed so valuable that many mothers from
the adjacent provinces removed thither about
the time of their accouchement, in order to
entitle their children to participate, by birth, in
all the immunities of that favored country; just
30 as, says Strada, one improves the plants of a
rude climate by removing them to the soil of
a milder.
Source: Excerpt from History of the Revolt of the
Netherlands by Friedrich von Schiller
9. The author of this passage would most likely agree with which of the following
assumptions?
a. Foreigners are generally not to be trusted.
b. Crossing borders to give birth is morally
suspect.
c. Laws, as a rule, develop in response to a need
for laws.
d. Unifcation is a natural tendency for smaller
provinces.
e. No person should be immune to legal
restrictions.
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10. Which statement, if true, would most weaken the position that foreigners are not able to hold
a position of trust?
a. People are able to study the laws of other
countries through comprehensive programs
designed to immerse them in the intricacies
of the laws.
b. Even after many years living in a foreign
land, politicians have generally shown
favoritism toward their native land.
c. Research shows that the age of a candidate
holding an offce of trust has a greater
infuence than his or her country of origin
on his or her ability to succeed.
d. The level of distrust a population feels for a
foreign-born leader or politician can rarely
be eradicated.
e. Many successful nations, such as the United
States, were built on a population that
mostly originated from other locations.
11. This passage can best be summarized as a a. defense of a thesis that increased freedom
leads to more vigorous commerce.
b. reconciliation of opposing views of
constitutional development.
c. contrasting and comparison of vagaries of
preunifcation provincial law.
d. review of similarities and contrasts among
preunifcation provincial laws.
e. polemic advocating the desirability of legal
reciprocity among neighboring provinces.
12. Which justifcation does the text provide as support for the exclusion of foreigners from all
offces of trust?
a. The laws were extremely complex,
necessitating extensive familiarity with their
nuances.
b. Stringent enforcement of the laws would be
impossible.
c. Mutual distrust prevailed at this time among
the various provinces.
d. The election of foreigners to offces of trust
would necessitate an unnatural unifcation.
e. Opening up positions to foreigners that were
previously limited to citizens could take
away local job opportunities.
Use the following passage to answer questions 13
through 16.
The night and the day are not generally equal.
There is, however, one occasion in spring, and
another in autumn about half a year later, on
which the day and the night are each twelve
5 hours at all places on Earth. When the night
and day are equal, the point which the Sun
occupies on the heavens is termed the equinox;
an equinox occurs in March and then again in
September. In any investigation of the celestial
10 movements, the positions of these two equi-
noxes on the heavens are of primary impor-
tance. The discovery of this remarkable celestial
movement known as the precession of the equi-
noxes is attributed to the mastermind
15 Hipparchus. The inquiry that led to his discov-
ery involved a most profound investigation,
especially when it is remembered that in the
days of Hipparchus, the means of observation
of the heavenly bodies were only of the crudest
20 description. We can but look with astonishment
on the genius of the man who, in spite of such
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diffculties, was able to detect such a phenome-
non as the precession, and to exhibit its actual
magnitude. The ingenuity of Hipparchus
25 enabled him to determine the positions of each
of the two equinoxes relative to the stars that lie
in its immediate vicinity. After examination of
the celestial places of these points at different
periods, he was led to the conclusion that each
30 equinox was moving relatively to the stars,
though that movement was so slow that 25,000
years would necessarily elapse before a com-
plete circuit of the heavens was accomplished.
It can be said of his discovery that this was the
35 frst instance in the history of science in which
we fnd that combination of accurate observa-
tion with skillful interpretation, of which, in
the subsequent development of astronomy, we
have so many splendid examples.
Source: Excerpt from Great Astronomers by
Robert S. Ball
13. It can be inferred from the passage that the way in which Hipparchus contributed most impor-
tantly to science was which of the following?
a. He was the frst to observe the heavens.
b. He was frst to perceive the equinoxes.
c. He was the frst to combine observation with
skillful interpretation.
d. He worked primarily with crude
instruments of observation.
e. He was the frst to realize that Earth rotates
with a tilted axis around the Sun.
14. According to the passage, which is NOT a true statement about the earth’s equinoxes?
a. Day and night are equivalent in length on
the equinoxes.
b. The equinoxes fall on the same day for both
the northern and southern hemispheres.
c. It takes 25,000 years for a complete
precession to occur.
d. The distance from Earth to the Sun is the
same on the equinoxes.
e. One equinox follows about six months after
another.
15. Which best describes the general organization of the passage?
a. Two opposing scientifc theories are
introduced, and then those theories are
dissected.
b. The problem of balanced sunlight is
presented, and then the solution is
determined.
c. An inequality is established, and then the
causes of the inequality are investigated.
d. A scientifc breakthrough is portrayed, and
then the resulting effects are illustrated.
e. A natural phenomenon is described, and
then its defnition and discovery are detailed.
16. In the context of the text, the word immediate in line 27 could be replaced with which of the
following words to have the least impact on
what the sentence means?
a. swift
b. neighboring
c. frsthand
d. current
e. remote
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5
Use the following passage to answer questions 17
through 19.
The information on a standard compact disc
(CD) is contained in a single spiral track of pits,
starting at the inside of the disc and circling its
way to the outside. This information is read by
shining light from a 780 nm wavelength semi-
conductor laser. Information is read as the laser
moves over the bumps (where no light will be
refected) and the areas that have no bumps,
also known as land (where the laser light will be
10 refected off the aluminum). The changes in
refectivity are interpreted by a part of the com-
pact disc player known as the detector. It is the
job of the detector to convert the information
collected by the laser into the music that was
15 originally recorded onto the disc.
LASER DISC MEDIA MEDIA THICKNESS LASER WAVELENGTH INFORMATION CAPACITY
CD 1.2 mm 780 nm 700 MB
DVD 0.6 mm 650 nm 4.7 GB
Blu-ray Disc 1.1 mm 405 nm 25 GB
17. According to the table, if a disc’s capacity depends on the size of the laser’s wavelength,
and 1 gigabyte (GB) equals 1,000 megabytes
(MB), then
a. the longer the wavelength, the smaller the
capacity.
b. the shorter the wavelength, the smaller the
capacity.
c. the longer the wavelength, the larger the
capacity.
d. the shorter the wavelength, the larger the
capacity.
e. the wavelength and the capacity are
unrelated.
18. Which information is included in both the pas- sage and the table?
a. The wavelength of the laser that reads a CD.
b. How a laser reads a CD.
c. A comparison between the DVD and the
CD.
d. The capacity of a CD.
e. The length of the laser that reads a DVD.
19. Based on the information in the passage, what would most likely happen if the detector on a
CD player malfunctioned?
a. The spiral track would not be read properly.
b. The pits and land would look like one unit.
c. The changes in refectivity would be
absorbed back into the laser.
d. The music would play backward.
e. The information read by the laser would not
be converted into music.
Use the following passage to answer questions 20 and 21.
Astronauts expose themselves to a wide range
of dangers and hardships as a result of their pro-
fession. Space travel is itself, of course, a risky
endeavor. But one of the most imperceptible
5 sources of distress for astronauts is the constant
exposure to microgravity, a gravitational force
in space that is one millionth as strong as the
force on Earth. In prolonged space fight, aside
from the obvious hazards of meteors, rocky
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10 debris, and radiation, astronauts have to deal
with muscle atrophy brought on by weightless-
ness caused by this microgravity. To try to
counteract this deleterious effect, astronauts
engage in a daily exercise regimen while in
15 space. Effective workouts while in space include
riding a stationary bike, treadmill running
while harnessed, and working against a resistive
force, such as a bungee cord. When they return
to Earth, astronauts face a protracted period of
20 weight training to rebuild their strength.
20. Which sentence in the passage best presents readers with a major point rather than a minor
point of the passage?
a. “Astronauts expose . . . profession.”
b. “Space travel . . . endeavor.”
c. “But one . . . Earth.”
d. “To try . . . space.”
e. “Effective workouts . . . cord.”
21. As it appears in the passage, the word atrophy (line 11) most closely means
a. pain.
b. deterioration.
c. weakening.
d. cramping.
e. augmentation.
Use the following passage to answer questions 22
through 24.
Geometry sets out from certain conceptions
such as “plane,”“point,” and “straight line,” with
which we are able to associate defnite ideas,
and from certain simple propositions (axioms)
5 which, in virtue of these ideas, we are inclined
to accept as “true.” Then, on the basis of a logi-
cal process, the justifcation of which we feel
ourselves compelled to admit, all remaining
propositions are shown to follow from those
10 axioms, i.e., they are proven. A proposition is
then correct (“true”) when it has been derived
in the recognized manner from the axioms. The
question of “truth” of the individual geometri-
cal propositions is thus reduced to one of the
15 “truth” of the axioms. Now it has long been
known that the last question is not only unan-
swerable by the methods of geometry, but that
it is in itself entirely without meaning. We can-
not ask whether it is true that only one straight
20 line goes through two points. We can only say
that Euclidean geometry deals with things
called “straight lines,” to each of which is
ascribed the property of being uniquely deter-
mined by two points situated on it.
Source: Excerpt from The Special Theory of Rel-
ativity by Albert Einstein
22. The author’s assertion in line 18 that it is in itself entirely without meaning refers to
a. geometrical propositions.
b. the nature of straight lines.
c. the truth of the axioms of geometry.
d. the methods of geometry.
e. any question of the truth of geometry.
23. It can be inferred from the passage that the truth of a geometrical proposition depends on
which of the following?
a. the concept of straight lines
b. the validity of Euclidean geometry
c. the logical connection of the ideas of
geometry
d. our inclination to accept it as true
e. the truth of the axioms
24. In this passage, the author is chiefy concerned with which of the following topics?
a. a defnition of geometric axioms
b. the truth, or lack thereof, of geometrical
propositions
c. the logical process of defning straight lines
d. the ability to use geometrical propositions to
draw conclusions
e. the precise conceptions of objects such as
planes or points
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Use the following passage to answer questions 25
through 30.
What Will the New Procedures Do?
Memo
To: Employees of IMPEL
From: Management
Re: New Security Procedures
Date: June 15
As a result of some incidents that have occurred
with unauthorized persons in secure parts of
Building A, as of June 30, new procedures will
go into effect for security in that building. From
5 now on, all employees reporting to work should
enter through the employee entrance at the side
of the building on Murray Street. No employee
is to enter through the main entrance. In order
to be admitted, each employee must have a
10 valid photo ID. The ID needs to be swiped to
unlock the door. Make sure not to allow
another person to enter with you even if you
know the person. Each employee needs to
swipe his or her own ID in order to be regis-
15 tered as being on the job.
The main entrance will be for visitors only. The
receptionist there will call the party that the vis-
itor is coming to meet so that he or she can
come to the main desk to escort the guest to his
20 or her offce. Visitors will be given temporary
passes, but they cannot have full run of the
offce.
In addition, all employees will also be required
to log in on their computer when they begin
25 work and log out when they take a break. Make
sure to log out and in when taking lunch
breaks.
If an employee sees someone whom he or she
believes is unauthorized to be in Building A,
30 that employee should take immediate action
and report the event to Mr. Shields, our head of
security. Do not approach the person, but sim-
ply call Mr. Shields’s offce. His extension is 890.
If there is no answer, make a written report and
35 e-mail it to [email protected].
If employees have any questions regarding these
regulations, please contact the Human
Resources department at extension 550. Ms.
Hardy will be able to respond to your queries.
40 Thank you for your cooperation in this matter.
We feel that with these additional procedures,
our workplace will be made more secure for
everyone concerned. Ideally, this will result in
improved work output, since any possibility of
45 a security breach will be prevented.
25. Which of the following best restates the phrase “security breach” (line 45)?
a. a compromise in the safety of the offce
b. a blow to the confdence of employees
c. a distraction because of an employee’s
personal problems
d. a defense against employees not doing their
jobs
e. an overstepping of boundaries by an
employee
26. Based on the excerpt, which of the following can be inferred about management?
a. They are concerned about the safety of
employees.
b. They believe that the offce is completely
secure.
c. They want employees to fll out time sheets.
d. They want to track employee work habits.
e. They are suspicious of specifc employees.
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27. Which of the following could be prevented by the new security procedures?
a. visitors entering through the main entrance
b. employees swiping IDs to open doors
c. employees entering through the side
entrance
d. unauthorized persons wandering around
Building A
e. any complaints about company procedures
28. Imagine an employee sees a person in Building A without an ID badge. According to the
memo, which of these actions should the
employee take?
a. Call Mr. Shields’s offce to make a report.
b. Tell the person to leave the building.
c. Call the receptionist in the main entrance.
d. Report the event to Ms. Hardy.
e. Send a company-wide alert email.
29. Which of the following best describes the style in which this memo is written?
a. complicated and unclear
b. academic and dry
c. straightforward and direct
d. detailed and technical
e. friendly and warm
30. Which of the following best describes the way in which the memo is organized?
a. by listing information in the order of
importance
b. by sequence of events
c. by presenting a problem and then a solution
d. by comparing and contrasting issues
e. by offering anecdotes to illustrate points
made
Use the following passage pair to answer questions 31
through 34.
Passage 1
The demotion of Pluto’s status in our solar sys-
tem from planet to dwarf planet in 2006 was an
upsetting development for many fans. After all,
Pluto is shaped like the other planets—and
5 Pluto even has its own moon! However, the
recent discovery of additional celestial bodies
similar to Pluto’s shape and size forced scien-
tists to agree on the defnition of a planet; plan-
ets must now be round, orbit the sun, and
10 dominate the neighborhood along their orbit
through their gravitational pull.
Passage 2
A dwarf planet has the mass of a standard
planet, but it does not orbit the sun. The term
came into use in 2006 as part of a recategoriza-
tion of our Sun’s natural satellites. It became a
5 household word when Pluto—formerly catego-
rized as one of our solar system’s nine plan-
ets—became a dwarf planet offcially. Surely, it
is the best-known dwarf planet, yet it is only
one of four in our solar system. Closer to Earth
10 than Pluto is Ceres, which was also formerly
classifed as a planet. Further out are Haumea,
Makemake, and Eris. Eris is informally known
as “the tenth planet.”
31. Which of the following best describes the rela- tionship between Passage 1 and Passage 2?
a. Passage 1 introduces an idea and Passage 2
expands upon it.
b. Passage 1 makes an argument and Passage 2
contradicts it.
c. Passage 1 introduces a diffcult concept and
Passage 2 explains it.
d. Passage 1 states facts and Passage 2 states
opinions.
e. Passage 1 makes a claim and Passage 2
supports that claim.
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32. Which of the following phrases from Passage 2 is an example of fgurative language?
a. standard planet
b. household word
c. best-known
d. formerly classifed
e. the tenth planet
33. In what way is the attitude of the author of Passage 1 different from that of the author
of Passage 2?
a. The author of Passage 1 is more serious than
the author of Passage 2.
b. The author of Passage 1 is more skeptical
than the author of Passage 2.
c. The author of Passage 1 is more cynical than
the author of Passage 2.
d. The author of Passage 1 is more technical
than the author of Passage 2.
e. The author of Passage 1 is more playful than
the author of Passage 2.
34. Which statement, if true, would best help to explain why Pluto lost its offcial designation
as a planet?
a. Its size was signifcantly smaller than any
other designated planet.
b. Its general orbit contains a greater amount
of debris in its path than the other planets.
c. Its moon was discovered to be merely an
asteroid that was captured by Pluto’s gravity.
d. Its orbit around the sun had a greater
elliptical shape than the orbits of the other
planets.
e. Its mass is responsible for hydrostatic
equilibrium, creating a nearly round shape.
Use the following passage to answer questions 35
through 37.
Jessie Street is sometimes called the Australian
Eleanor Roosevelt. Like Roosevelt, Street lived a
life of privilege, while at the same time devoting
her efforts to working for the rights of the dis-
5 enfranchised, including workers, women, refu-
gees, and Aborigines. In addition, she gained
international fame when she was the only
woman on the Australian delegation to the con-
ference that founded the United Nations—just
10 as Eleanor Roosevelt was for the United States.
JESSIE STREET TIMELINE DATE EVENT
April 18, 1889 Born
June 17, 1911 Joins suffragettes to fight for women’s right to vote
February 10, 1916 Marries Kenneth Whistler Street
December 18, 1929 Establishes the United Associations of Women
March 12, 1932 Proposes the General Social Insurance Scheme
April 1945 Appointed to Australia’s delegation to found the United Nations
November 1945 Helps found the Women’s International Democratic Federation
February 1947 Becomes the deputy chair of the Status of Women Commission
March 14, 1967 Publishes her autobiography, Truth or Repose
July 2, 1970 Dies
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5
10
15
20
25
30
35. Based on information in the passage and the chart, when did Jessie Street gain international
fame?
a. April 1889
b. June 1911
c. December 1929
d. April 1945
e. March 1967
36. Which of the following can be learned only by reading the chart?
a. Jessie Street worked for women’s rights.
b. Jessie Street was interested in the plight of
Aborigines.
c. Jessie Street lived a life of privilege.
d. Jessie Street was very similar to Eleanor
Roosevelt.
e. Jessie Street wrote an autobiography.
37. Which of the following inferences may be drawn from the information presented in the
passage?
a. Eleanor Roosevelt and Jessie Street worked
together to include women in the United
Nations Charter.
b. Usually, people who live lives of privilege do
not spend much time participating in
political activities.
c. Discrimination in Australia is much worse
than it ever was in the United States.
d. At the time of the formation of the United
Nations, few women were involved in
international affairs.
e. The United Nations has been ineffective in
helping the disenfranchised all over the
world.
Use the following passage to answer questions 38
through 41.
Mental and physical health professionals may
consider referring clients and patients to a
music therapist for a number of reasons. It
seems a particularly good choice for the social
worker who is coordinating a client’s case.
Music therapists use music to establish a rela-
tionship with the patient and to improve the
patient’s health, using highly structured musical
interactions. Patients and therapists may sing,
play instruments, compose music, dance, or
simply listen to music.
The course of training for music thera-
pists is comprehensive. In addition to their for-
mal musical and therapy training, music
therapists are taught to discern what kinds of
interventions will be most benefcial for each
individual patient. Because each patient is dif-
ferent and has different goals, the music thera-
pist must be able to understand the patient’s
situation and choose the music and activities
that will do the most toward helping the patient
achieve his or her goals. The referring social
worker can help this process by clearly articu-
lating each client’s history.
Although patients may develop their
musical skills, that is not the main goal of
music therapy. Any client who needs particular
work on communication or on academic, emo-
tional, and social skills, and who would beneft
from music therapy, is an excellent candidate
for music therapy.
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38. Which of the following would be the most appropriate title for this passage?
a. “The Use of Music in the Treatment of
Autism”
b. “How to Use Music to Combat Depression”
c. “Music Therapy: A Role in Social Work?”
d. “Training for a Career in Music Therapy”
e. “The Social Worker as Music Therapist”
39. Which of the following inferences can be drawn from the passage?
a. Music therapy can succeed where traditional
therapies have failed.
b. Music therapy is a relatively new feld.
c. Music therapy is particularly benefcial for
young children.
d. Music therapy probably will not work well
for psychotic people.
e. Music therapy is appropriate in only a
limited number of circumstances.
40. Which of the following best organizes the main topics addressed in this passage?
a. I. the role of music therapy in social work
II. locating a music therapist
III. how to complete a music therapist
referral
b. I. using music in therapy
II. a typical music therapy intervention
III. when to prescribe music therapy for
sociopaths
c. I. music therapy and social work
II. training for music therapists
III. skills addressed by music therapy
d. I. how to choose a music therapist
II. when to refer to a music therapist
III. who benefts the most from music
therapy
e. I. music therapy as a cost-effective treatment
II. curriculum of a music therapy program
III. music therapy and physical illness
41. Which of the following lines from the passage contains an error in logic?
a. Mental and physical health professionals may
consider referring clients and patients to a
music therapist for a number of reasons.
b. Music therapists use music to establish a
relationship with the patient and to improve
the patient’s health, using highly structured
musical interactions.
c. The course of training for music therapists is
comprehensive.
d. Because each patient is different and has
different goals, the music therapist must be
able to understand the patient’s situation
and choose the music and activities that will
do the most toward helping the patient
achieve his or her goals.
e. Any client who needs particular work on
communication or on academic, emotional,
and social skills, and who would beneft
from music therapy, is an excellent candidate
for music therapy.
Use the following passage to answer question 42.
According to a recent poll, the number of stu-
dents in the high school environmental club
has increased by 40% over the past three years.
This increase is the reason why more students
5 have begun recycling their paper and cans dur-
ing this period.
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42. Which of the following, if true, most signif- cantly weakens the preceding argument?
a. The school installed recycling bins in all
classrooms fve years ago.
b. Most students join the environmental club
in order to add one more activity to their
college applications.
c. Not all students participated in the poll.
d. Two years ago, the school began giving
detention to any student caught throwing
recyclable materials in the regular trash.
e. The environmental club has begun hanging
up more posters about recycling.
Use the following passage to answer questions 43
through 45.
Businesses today routinely keep track of large
amounts of both fnancial and nonfnancial
information. Sales departments keep track of
current and potential customers; marketing
5 departments keep track of product details and
regional demographics; accounting depart-
ments keep track of fnancial data and issue
reports. To be useful, all this data must be orga-
nized into a meaningful and useful system.
10 Such a system is called a management informa-
tion system, abbreviated MIS. The fnancial hub
of the MIS is accounting.
43. This passage is most likely taken from a. a newspaper column.
b. an essay about modern business.
c. a legal brief.
d. a business textbook.
e. a business machine catalog.
44. According to the information in the passage, which of the following is least likely to be a
function of accounting?
a. helping businesspeople make sound
judgments
b. producing reports of many different kinds of
transactions
c. assisting with the marketing of products
d. assisting companies in important planning
activities
e. providing information to potential investors
45. According to the information in the passage, all of the following would be included in a com-
pany’s MIS EXCEPT
a. potential customers.
b. fnancial data.
c. regional demographics.
d. employee birthdates.
e. product details.
Use the following passage to answer question 46.
The salesperson of the month at Smith’s Used
Cars sold 26 cars in February. Diana sold 22
cars in February.
46. Based only on the information provided, which of the following must be true?
a. Diana is not salesperson of the month at
Smith’s Used Cars.
b. The salesperson of the month is the person
who sold the most cars that month.
c. Diana does not work at Smith’s Used Cars.
d. The salesperson of the month made more
money in February than Diana did.
e. The salesperson of the month is better at
selling cars than Diana is.
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Use the following passage to answer question 47.
Thomas Nast (1840–1902), the preeminent
political cartoonist of the second half of the
nineteenth century, demonstrated the power of
his medium when he used his art to end the
5 corrupt Boss Tweed Ring in New York City. His
images, frst drawn for Harper’s Weekly, are still
in currency today: Nast created the tiger as the
symbol of Tammany Hall, the elephant for the
Republican Party, and the donkey for the
10 Democratic Party.
47. The author cites Thomas Nast’s depiction of an elephant for the Republican Party as an exam-
ple of
a. an image that is no longer recognized by the
public.
b. the saying, “the pen is mightier than the
sword.”
c. art contributing to political reform.
d. a graphic image that became an enduring
symbol.
e. the ephemeral nature of political cartooning.
Use the following passage to answer questions 48 and 49.
Typically people think of genius, whether it
manifests in Mozart’s composing symphonies
at age fve or Einstein’s discovery of relativity, as
having a quality not just of the supernatural,
5 but also of the eccentric. People see genius as a
“good” abnormality; moreover, they think of
genius as a completely unpredictable abnormal-
ity. Until recently, psychologists regarded the
quirks of genius as too erratic to describe
10 intelligibly; however, Anna Findley’s ground-
breaking study uncovers predictable patterns in
the biographies of geniuses. These patterns do
not dispel the common belief that there is a
kind of supernatural intervention in the lives of
15 unusually talented men and women, however,
even though they occur with regularity. For
example, Findley shows that all geniuses experi-
ence three intensely productive periods in their
lives, one of which always occurs shortly before
20 their deaths; this is true whether the genius lives
to 19 or 90.
48. Which of the following would be the best title for this passage?
a. “Understanding Mozarts and Einsteins”
b. “Predicting the Life of a Genius”
c. “The Uncanny Patterns in the Lives of
Geniuses”
d. “Pattern and Disorder in the Lives of
Geniuses”
e. “Supernatural Intervention in the Life of the
Genius”
49. Given the information in the passage, which of the following statements is true?
a. Anna Findley is a biographer.
b. All geniuses are eccentric and unpredictable.
c. A genius has three prolifc periods in his or
her life.
d. Mozart discovered relativity.
e. Geniuses experience three fallow periods in
their lives.
Use the following passage to answer question 50.
Sushi, the thousand-year-old Japanese delicacy,
was once thought of in this country as
unpalatable and too exotic. But tastes have
changed, for a number of reasons.
50. In the passage, unpalatable most nearly means a. not visually appealing.
b. not tasting good.
c. bad smelling.
d. too expensive.
e. rough to the touch.
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5
10
15
20
25
30
Use the following passage to answer questions 51
through 54.
The Caribbean island of Saint Martin is a favor-
ite vacation spot, one that is popular with tour-
ists from various countries. The French and
Dutch settled on the island in the 1600s. Today,
the island is divided between the two. The
French capital is Marigot; the Dutch capital is
Philipsburg.
Tourists on vacation soon discovered that
Saint Martin has an intriguing history. Twelve
hundred years ago, the Arawak Indians inhab-
ited all the islands of the West Indies, and were
a peaceful people living under the guidance of
their chiefs. In the 1300s, three hundred years
after the Arawaks frst arrived on Saint Martin,
they were defeated and forced to abandon the
island by a more hostile tribe of Indians that
originated in South America. This new tribe
was called the Carib. The Caribbean Sea was
named after them. Unlike the Arawaks, they
had no permanent chiefs or leaders, except in
times of strife. They were also extremely war-
like. Worse, they were cannibalistic, eating the
enemy warriors they captured. In fact, the very
word cannibal comes from the Spanish name
for the Carib Indians. The Spanish arrived in
the ffteenth century and, unfortunately, they
carried diseases to which the Indians had no
immunity. Many Indians succumbed to com-
mon European illnesses. Others died from the
hard labor forced upon them.
51. According to the passage, all the following are true about the Carib Indians EXCEPT
a. a sea was named after them.
b. they were peaceful fshermen, hunters, and
farmers.
c. they ate human fesh.
d. they settled after defeating the Arawak
Indians.
e. during times of war, they had temporary
leaders.
52. According to the passage, the Carib Indians were fnally defeated by
a. sickness and forced labor.
b. the more aggressive Arawak tribe.
c. the Dutch West India Company.
d. the French explorers.
e. a cannibalistic tribe.
53. One can infer from the passage that the word strife (line 21) means
a. cannibalistic.
b. war.
c. labor.
d. chief.
e. Carib.
54. According to the article, present-day Saint Martin
a. belongs to the Spanish.
b. is independent.
c. belongs to the Carib.
d. is part of the U.S. Virgin Islands.
e. is shared by the French and the Dutch.
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Use the following passage to answer questions 55 and
56.
Although protected by the Australian govern-
ment, the Great Barrier Reef faces environmen-
tal threats. Crown-of-thorns starfsh feed on
coral and can destroy large portions of reef.
5 Pollution and rising water temperatures also
threaten the delicate coral. But the most pre-
ventable hazard to the reef is tourists. Tourists
have contributed to the destruction of the reef
ecosystem by breaking off and removing pieces
10 of coral to bring home as souvenirs. The gov-
ernment hopes that by informing tourists of
the dangers of this seemingly harmless activity
they will quash this creeping menace to the
fragile reef.
55. Which key word from the passage helps the transition from the natural threats the Great
Barrier Reef faces to the human-caused threats
it faces?
a. Although
b. also
c. But
d. and
e. creeping
56. The primary purpose of this passage is to a. inform the reader that coral reefs are a
threatened, yet broadly functioning,
ecosystem.
b. alert the reader to a premier vacation
destination in the tropics.
c. explain in detail how the Great Barrier Reef
is constructed.
d. recommend that tourists stop stealing coral
off the Great Barrier Reef.
e. dispel the argument that coral is a plant, not
an animal.
Praxis® Core Academic Skills for Educators:
Reading Practice Test 2 Answers and Explanations
1. b. In this passage, telecommuting and job satis- faction share a cause-and-effect relationship,
because job satisfaction is the result of tele-
commuting. That means telecommuting is
the opposite of a problem (choice b). Since
telecommuting and job satisfaction share a
complementary, not contrasting, relation-
ship, choice e can be eliminated.
2. d. Statistics are hard to trust if the reader does not know from where the statistics were
taken. For all the reader of this passage
knows, the author could have taken these
statistics from an unreliable blog or even
made them up himself. Including the source
of the statistics would help the reader to
evaluate their validity. Knowing the names
of the people polled (choice b), the compa-
nies for which they work (choice a), or how
many people were “somewhat satisfed”
(choice c) would have little bearing on the
validity of these statistics. The term “very
satisfed” is fairly self-explanatory, so e is not
the best answer choice.
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3. d. The author makes the point that telecom- 4. a. The author explains that telecommuters are muters who do not have to punch a time more satisfed with their jobs and more pro-
clock at 5:00 are likely to work past that ductive than traditional commuters, which
time, with the implication that this is differ- should result in a company with less
ent from how traditional commuters employee turnover and greater output than
approach their work. So, you can conclude those that do not allow telecommuting. So,
that the author probably assumes traditional it is fairly logical to conclude that companies
commuters will go home at 5:00 even if they that make telecommuting an option for their
have work to complete. However, the author employees are likelier to be successful than
never implies a comparison between Skype ones that don’t, even though the author does
and e-mail (choice a) or suggests that work- not cite any explicit evidence to support this
ing from home did not exist before commu- conclusion. However, it is extreme to con-
nication technologies such as these (choice clude that traditional commuting is likely to
b), which is untrue anyway. Although the cease to exist altogether (choice b), since
author clearly favors telecommuting over many jobs simply cannot be done from
traditional commuting, choice c is an home. The author does not suggest that
extreme assumption. The same can be said companies with employees who do not tele-
of choice e, even though the author men- commute will have to make the work day
tions one downside of sharing an offce with longer (choice c), nor is there any discussion
coworkers. of the impact of telecommuting on the
economy at all (choice d). Although the
author mentions a downside of offce man-
agers, choice e is still an extreme conclusion
to draw.
5. a. A good night of rest is essential to good health, and both of these passages suggest
ways to achieve better rest. Passage 1 sug-
gests drinking less alcohol and Passage 2
suggests sleeping on a mattress that provides
uniform body support. Choice b is too spe-
cifc; only Passage 2 refers to mattress selec-
tion, so this choice does not make use of
information in both passages. Only Passage
1 refers to caffeine, and it only explains that
caffeine does not help one to stay awake; it
does not explain the effects of caffeine
(choice c). Only Passage 1 refers to hand-eye
coordination, and the passage does not pro-
vide very much information about it, so the
passage would not be a very good source for
an essay on hand-eye coordination (choice
d). Neither passage mentions sleeping pills
(choice e).
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6. c. Passage 1 describes the problem of sleep deprivation, and for those suffering sleep
deprivation because they sleep on an inade-
quate mattress, Passage 2 provides a possible
solution to that problem. Passage 1 neither
describes a cause (choice a) nor a frst step
in a process (choice b) nor a general princi-
ple (choice d). Although Passage 1 does
describe the condition of sleep deprivation,
Passage 2 does not contrast it by describing
the opposite condition (choice e); the condi-
tions in both passages are very similar.
7. b. If understanding the cause of back pains was not diffcult, the author would have known
his mattress was causing his pains right
away. This information helps the reader
understand that back pains can have a num-
ber of causes, and fguring out the exact
cause might not be easy. Making a wrong
guess is not enough to prove that someone’s
ultimate fndings should be questioned, so a
is not the best answer choice. The author’s
daytime activities explain only a couple of
possible causes of back pains, so choice c is
too extreme. The author’s back pains reduce
dramatically, so that he can enjoy his frst
night of uninterrupted sleep in years after get-
ting a new mattress, which indicates that the
source of back pains can be explained defni-
tively and contradicts choice d. Since the
author’s daytime activities were not the
cause of his back pains, choice e does not
make sense.
8. e. The passage claims that lack of sleep magni- fes alcohol’s effects on the body, implying that
it hampers a person’s ability to function. The
other choices (a, b, c, and d) aren’t accurate
defnitions of impaired.
9. c. The assertion that laws develop in response to a need for laws is contained in the frst
sentence of the passage and further sup-
ported in the second sentence. Choice a is
incorrect; while the author explicitly argues
that foreigners should not hold a position of
offces of trust, the reason is not simply
because they are not to be trusted. The
author provides the example of children
being born in a different province to entitle
their children to participate, but he gives no
clear indication as to whether such a practice
is or is not morally suspect, so choice b is
incorrect. The author gives no indication
that unifcation is a natural tendency for
smaller provinces, making choice d incor-
rect. The statement in choice e may seem
like something the author might agree with,
given that the author supports foreigners’
exclusion from holding offces of trust.
However, it is a leap to assume that he would
necessarily agree that just because foreigners
should not hold an offce of trust, no person
should be immune to legal restrictions. It is
beyond the scope of the passage.
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10. a. One reason the author provides as to why foreigners cannot hold offces of trust is
because they cannot be as familiar with the
laws as natural-born citizens. However, a
program such as the one described in this
choice might eliminate this unfamiliarity,
thus weakening the author’s argument.
Choices b and d are incorrect because either
would strengthen the author’s position; they
would provide further evidence that foreign-
ers should not hold offces of trust. The fact
in choice c might weaken the author’s argu-
ment slightly—by suggesting that age is an
even greater factor in a person’s ability to
hold an offce of trust—but it does not say
that being born abroad is not still a factor. A
better choice more signifcantly weakens the
argument. The overly general statement in
choice e does not address the specifc issues
that the author raises in regard to a foreign-
er’s ability to hold an offce of trust. While
this point may help weaken the argument
somewhat, there is a more specifc statement
that weakens the argument more
signifcantly.
11. d. The author discusses the laws of preunifed Netherlands provinces, specifcally pointing
out similarities and differences, such as that
certain laws were enforced in each province
but that other provinces were so free that
mothers moved there before giving birth to
earn the immunities of that land. The pas-
sage does not defend the argument that
increased freedom leads to increased com-
merce, so choice a is incorrect. Choice b is
incorrect: This passage discusses the origins
of provincial law in the preunifed Nether-
lands, but the only mention of a constitution
is to suggest that it was founded on com-
merce. Choice c is incorrect. To know that
this choice is incorrect requires you to know
the meaning of the word vagaries, which
connotes capriciousness and does not apply
to the author’s discussion of legal develop-
ment in the provinces. Choice e is incorrect;
reciprocity in neighboring provinces is men-
tioned in this passage in regard to the rights
of foreigners holding offce. However, this
specifc attribute of the law—or the advo-
cacy of its desirability—is not the main point
of the passage.
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12. a. The frst three sentences set up and support the discussion of the exclusion of foreigners
from offce. In that section of the passage, it
is mentioned that a foreigner could not be
expected to be acquainted with these unnec-
essarily complicated laws, meaning that
choice a is correct. The end of the frst para-
graph refers to the reciprocity of the laws
across provinces, suggesting that the laws
would need to be enforced. But that did not
say that enforcement would be impossible,
making choice b incorrect. Even though for-
eigners were excluded from holding offce,
the passage does not provide distrust, choice
c, as a cause of the exclusion. Neither a nec-
essary unifcation nor a potential job loss is
given as support for the main idea, so
choices d and e are both incorrect.
13. c. This passage discusses Hipparchus’s discov- ery of the equinoxes. The fnal sentence in
the passage sums up the importance in
terms of the discovery’s contribution to sci-
ence, saying that it was the “frst instance in
the history of science” in which observation
was combined with such skillful interpreta-
tion. Hipparchus observed the heavens as
part of his investigation, but the passage
does not suggest that he was the frst to do
this, making choice a incorrect. The state-
ment in choice b is not supported by the
passage; Hipparchus may have discovered
the equinoxes and determined the magni-
tude of their precession, but he was not the
frst to perceive them. The passage states that
Hipparchus used crude instruments, but this
statement is not given to describe his most
important contribution to the sciences, so
choice d is incorrect. The statement in
choice e is not a contribution made by Hip-
parchus, at least not as mentioned in the
given passage. Earth’s tilt may cause the sea-
sons, but that is not mentioned in the pas-
sage, nor is Hipparchus given the credit for
the contribution.
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14. d. The passage makes no statement about the distance from the Sun to Earth on the equi-
noxes, so there is no support for the state-
ment in choice d. The passage begins with
the statement that day and night are not
generally equal. However, it then states that
day and night are equal on the equinoxes,
making choice a an incorrect selection. By
suggesting that this occurs “at all places on
Earth,” the passage indicates that the equi-
noxes fall on the same day for both hemi-
spheres. While the spring equinox occurs in
the northern hemisphere in March and the
southern hemisphere in September, the two
general equinoxes both share the same day
on Earth. Therefore, choice b is also an
incorrect selection. Hipparchus discovered
that the equinox was moving in relation to
the stars, but that it would take 25,000 years
to complete a precession, making choice c an
incorrect selection. Because the equinoxes
are separated by “half a year” in the passage,
choice e must be an incorrect selection as
well.
15. e. The passage begins with a description of the phenomenon of the equinoxes, and then
goes on to defne the term equinox and
explain its discovery by Hipparchus. The
passage does not begin with an introduction
of opposing scientifc theories or a problem,
so choices a and b are incorrect. Likewise,
the passage does not begin with a scientifc
breakthrough, so choice d cannot be correct.
Choice c mentions an inequality, which
could describe the unequal day and night,
but it is not the inequality but the equality—
the equivalent day and night on the
equinoxes—that the passage focuses on,
making choice c incorrect.
16. b. The word immediate in the sentence is being used to describe the nearby stars that are
adjacent to the area of the equinoxes. The
words in choices a, c, and d could each be
used to replace the word immediate in differ-
ent sentences, but they would have an
impact on the meaning of the sentence from
this passage. Therefore, each is incorrect.
Remote, choice e, nearly means the opposite
of the word immediate as it appears in this
passage, so it is not correct either.
17. d. According to the table, the Blu-ray disc is the disc that uses the laser with the shortest
wavelength (405 nm), and it also has the
largest capacity (25 GB); therefore, it is rea-
sonable to conclude that the shorter the
wavelength, the larger the capacity. Choices
a, b, and c are incorrect. Choice e contra-
dicts the question.
18. a. The wavelength of the laser that reads a CD (780 nm) is the only information included
in both the passage and the table. There is
no mention of the DVD in the passage, so
choices c and e do not make sense. How a
laser reads a CD is discussed only in the pas-
sage (choice b), and a CD’s capacity (choice
d) is included only in the chart.
19. e. The last sentence in the passage states that the detector’s function is to convert the
information collected by the laser into
music, which wouldn’t happen if the detec-
tor malfunctioned. The other choices (a, b,
c, and d) aren’t the most accurate or likely
occurrences of a detector malfunction.
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20. c. The main point of the passage is the effect of 22. c. To answer this question, you have to fnd the microgravity on astronauts. This third sen-
tence of the passage both introduces micro-
gravity to the reader and describes it as an
imperceptible source of distress for astro-
nauts. The initial sentence of the passage,
choice a, makes a general claim about the
diffculties of life as an astronaut. However,
the passage is not merely about these diff-
culties, but it is specifcally about one partic-
ular danger: microgravity and its effects. The
fact that space travel is a risky endeavor,
choice b, is not the main point of the pas-
sage. This sentence serves to point out the
obvious, but it is the following sentence—
which serves to contrast this apparent fact—
that better sums up the main point of the
passage. The main point of the passage is not
the astronauts’ attempts to counteract the
negative effects of microgravity or a list of
astronauts’ workouts, so choices d and e are
incorrect.
21. b. Atrophy represents deterioration, frequently in response to underuse. When in space,
muscles adapt to the lack of gravity and lose
their strength through deterioration. There
is no indication in the passage that atrophied
muscles cause the astronauts any amount of
pain, so choice a is incorrect. Although a
muscle that atrophies may be weakened, the
primary meaning of the phrase to atrophy is
to waste away or deteriorate, making choice c
incorrect. The passage does not suggest that
astronauts’ muscles cramp during space
fight, so choice d is not correct. An augmen-
tation means an increase or an expansion.
This is opposite to the effect that micrograv-
ity has on astronauts’ muscles, so choice e is
not correct either.
antecedent of it. First, you discover that it
refers to the last question. Then you must
trace back to realize that the last question
itself refers to the “truth” of the axioms in the
previous sentence. By determining how the
parts of the text relate to one another, you
can determine the meaning of the assertion.
Choice a is incorrect; the it in this line does
not refer to geometrical propositions. While
the question of the “truth” of the individual
geometrical propositions is thus reduced to
one of the “truth” of the axioms, it is there-
fore the truths that are being referred to as
without meaning, not the propositions
themselves. The passage does not delve into
the nature of straight lines until after the line
referred to in this question, so choice b is
not correct. Choice d is incorrect; the pas-
sage states that the last question is not only
unanswerable by the methods of geometry,
meaning that the it is referring to the last
question and not the subject of the preposi-
tional phrase that follows: by the methods of
geometry. Choice e is a bit tricky, but it can
help to identify the subject. The it from this
line refers to the last question, which can be
traced back to mean the “truth” of the axioms
in the previous sentence. It is not, therefore,
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23. e. Lines 12 through 15 contain the statement that argues that the truth of the propositions
depends on the truth of the axioms, making
choice e correct. The concept of straight
lines is not addressed until late in the pas-
sage, and it is not introduced as the basis for
the truth of geometrical propositions, so a is
not correct. It is the truth of the axioms, not
the validity of Euclidean geometry or a con-
nection of geometric ideas, choices b and c,
that plays the role of determining the truth
of a geometrical proposition. Choice d is
incorrect; there is no indication that suggests
that it is merely our inclination to accept the
truth that determines whether a geometrical
proposition is indeed true.
24. b. The author repeatedly refers to truth in rela- tion to geometrical propositions. See, for
example, lines 12 through 15. The author
(Albert Einstein) is laying the groundwork
for an argument that the principles of geom-
etry are only apparently true. Choices a and
c are incorrect. While the author presents a
defnition for axioms and straight lines, they
are not the topic, which presents his chief
concern. While geometrical propositions are
a key aspect of the passage and the subject of
the author’s chief concern, it is not the abil-
ity to use them to draw conclusions that is
his primary focus, so choice d is incorrect.
The author introduces planes and points as a
starting point to show how geometry is built
on certain conceptions. However, these con-
ceptions are not the author’s primary con-
cern, so choice e is not the best answer.
25. a. This phrase means that the security was somehow broken, so choice a is correct. This
can be seen in the very frst section of the
memo: “As a result of some incidents that
have occurred with unauthorized persons in
secure parts. . . .” The other choices are not
suggested by these words. They have nothing
to do with security being compromised.
26. a. The point of the memo is that there were some security incidents that needed to be
addressed. Based on the memo, you cannot
infer any of the other choices. The only clear
inference is choice a.
27. d. If you read the memo carefully, you will see that choice d is the one option the new regu-
lations will defnitely help prevent. It is men-
tioned in the frst paragraph. The other
options are not mentioned in the memo.
28. a. Again, a close reading of the text will reveal an employee should call Mr. Shields if a
stranger is seen in Building A. This informa-
tion can be found in the fourth paragraph.
This is the only correct option.
29. c. The memo is direct and to the point. It is not technical. It’s quite clear and not at all
academic. The tone is professional, not
warm.
30. c. The memo states a problem at the beginning and then describes the new regulations that
will solve it—a way to keep unauthorized
people out of secure parts of Building A. The
memo does not rank events in any order
(choices a or b), and does not offer a com-
parison or contrast of any points.
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31. a. Passage 1 introduces the ideas of dwarf plan- ets and Pluto’s status as a dwarf planet;
Passage 2 expands upon those ideas by dis-
cussing other, less well-known dwarf planets.
Neither passage makes an argument (choice
b); both accept the idea of dwarf planets and
Pluto’s status as one. Passage 2 does not
explain anything about dwarf planets that
has not already been described in Passage 1,
so choice c is incorrect. Both passages focus
on facts without indulging in opinions, so
choice d does not make sense. Passage 1
makes a claim that Pluto is a dwarf planet,
but it also supports that claim with its own
details; the details in Passage 2 are not
needed to support Passage 1, so choice e is
not the best answer choice.
32. b. The phrase household word is an idiom meaning a familiar name or phrase. Choices
a, c, and d are not examples of fgurative
language. You may have been confused by
choice e because it is a nickname, but a nick-
name is not a form of fgurative language.
33. e. The author of Passage 1’s playful attitude is evident in the description of Pluto’s changed
status as a “demotion” (planets cannot be
demoted; only people can), the reference to
the planet’s “fans,” and the exclamation that
“Pluto even has its own moon!” There are no
such playful touches in Passage 2. The frst
author’s playfulness contradicts the idea that
he or she is more serious than the author of
Passage 2, so choice a is incorrect. The
author of Passage 1 is nether skeptical
(choice b) nor cynical (choice c). One can-
not have a technical (choice d) attitude.
34. b. The fnal stipulation of a planet’s attributes, according to the new defnition of a planet, is
that it must dominate the neighborhood
along its orbit through its gravitational pull.
The statement in choice b, referring to the
debris in its path, suggests that Pluto does not
dominate its neighborhood in the same way
that the other planets do. It is true that Pluto
is much smaller than the other planets, choice
a, but the size of an object is not listed among
the new criteria for a planet. Pluto had always
been much smaller than any other planet.
Passage 1 mentions that Pluto has a moon as
evidence for its status as a planet. However,
the absence or presence of a moon is not cited
as justifcation for the classifcation of a
planet, making choice c incorrect. According
to the new defnition of a planet, a planet
must orbit the sun. But neither passage men-
tions the specifc orbit of the sun—or its
shape—so the statement in choice d cannot
be a possible explanation. The statement in
choice e describes why Pluto is round, as are
the eight planets in our solar system. This
actually meets the frst defnition of a planet
and would therefore not be a reason why
Pluto lost its status as an offcial planet.
35. d. According to the passage, Jessie Street “gained international fame when she was the
only woman on the Australian delegation to
the conference that founded the United
Nations.” The chart indicates this happened
in April 1945. Choice a is very unlikely
because few people gain international fame
in the month in which they are born.
Choices b, c, and e also are incorrect.
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36. e. Only the chart mentions Jessie Street’s auto- biography, Truth or Repose. The fact that she
worked to secure women’s rights (choice a)
is mentioned in both the passage and the
chart. The information in choices b, c, and d
is only mentioned in the passage.
37. d. Because the author mentions that two women attending an international confer-
ence is an accomplishment (for which at
least one gained international fame), the
reader can surmise that it was a rare occur-
rence. Choices b, c, and e are far beyond the
scope of Passage 1; choice a might be true,
but would require information not con-
tained in the passage.
38. c. This passage provides information to social workers about music therapy, and makes the
claim that it can have a positive role, which
the title in choice c indicates. Choice e is
incorrect because the frst sentence speaks of
mental and physical health professionals
referring their clients and patients to music
therapists, not actually serving as music
therapists. Choice d is possible, but does not
summarize the passage as well as choice c.
Choices a and b refer to topics not covered
in the passage.
39. a. Based on the information provided in the passage, particularly in the last sentence,
choice a is the best inference. The other
choices (choices b, c, d, and e) are beyond
the scope of the passage.
40. c. Choice c provides the best outline of the pas- sage. The other choices (a, b, d, and e) all
contain points that are not covered by the
passage.
41. e. The sentence in choice e makes the error of circular reasoning by stating that a client
“who would beneft from music therapy . . .
is an excellent candidate for music therapy.”
Circular reasoning is when someone makes a
claim that is the same as its own conclusion.
The statements in the other answer choices
(a, b, c, and d) are perfectly logical.
42. d. If students have a strong motivation to recy- cle other than membership in the environ-
mental club (i.e., detention), then this
weakens the author’s assertion that recycling
has gone up because of increased member-
ship in the club. Choice a is incorrect
because it refers to a change made prior to
the increase in the number of students recy-
cling. Choice b is wrong because the stu-
dents’ motivation for joining the club is
unrelated to whether they recycle. Choice c is
incorrect because not all students need to
participate in order for the poll to be valid.
Choice e is incorrect because it would
strengthen the author’s argument, not
weaken it.
43. d. The passage contains objective language and straightforward information about account-
ing, such as one might fnd in a business
textbook. While the information could theo-
retically appear in any of the other answer
choices (a, b, c, and e), a business textbook
is the most likely spot.
44. c. The second sentence of the passage speaks of a marketing department separate from the
accounting department, so it is least likely
that assisting with the marketing of products
would be a function of accounting. The
other choices (a, b, d, and e) are much more
likely to be handled by the accounting
department.
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45. d. All the other choices (a, b, c, and e) are listed in the passage; employee birthdates (choice
d) would not be included.
46. a. While all the other choices (b, c, d, and e) may be true, the fact that Diana sold 22 cars
in February and the salesperson of the month
sold 26 means that they are not the same per-
son. None of the other choices can be proven
based only on the information given.
47. d. The author cites Thomas Nast’s symbols for Tammany Hall and the Democratic and
Republican Parties as examples of images
that have entered the public consciousness
and are “still in currency today”; thus they
are enduring. Choices a and c are inaccurate,
and choices b and e are unrelated to Nast’s
depiction.
48. c. This title expresses the main point of the pas- sage—that while there are predictable pat-
terns in the life of a genius, the pattern
increases the sense of something supernatural
touching his or her life. Choices a and b are
too general. Choice d is inaccurate because
the passage does not talk about disorder in
the life of a genius. Choice e covers only one
of the two main ideas in the passage.
49. c. Based on the information provided in the passage, it’s true that a genius has three pro-
lifc periods in his or her life. All the other
statements (choices a, b, d, and e) are not
supported by information provided in the
passage.
50. b. Unpalatable may be defned as not agreeable to taste (from the Latin palatum, which
refers to the roof of the mouth). The other
choices (a, c, d, and e) aren’t accurate defni-
tions of the word.
51. b. The Carib were not in any way described as peaceful, but rather as hostile people. All the
other choices (a, c, d, and e) are accurate
descriptions of the Caribs and are explicitly
mentioned in the passage.
52. a. The last two lines of the passage explicitly state that the Caribs were defeated by sick-
ness and the ravages of forced labor. Choice
b is incorrect because the Arawaks were
defeated by the Carib. Neither the Dutch
(choice c) nor the French (choice d) nor
another cannibalistic tribe (choice e) was
mentioned in the role of conquerors.
53. b. Strife means war, which can be inferred by the information provided in the passage.
Choice a is mentioned as a characteristic
that the Carib exhibited toward their ene-
mies in times of strife; it is not the meaning
of strife. Choices c and e are not mentioned
in conjunction with being warlike or with
strife. Choice d makes no sense because the
times of strife were when the tribe allowed a
chief to be chosen.
54. e. Present-day Saint Martin belongs to the French and the Dutch. Choices b and d have
no support in the passage. Choices a and c
are incorrect. The Spanish are mentioned in
the passage only in conjunction with the
Carib Indians.
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55. c. The sentence that introduces the idea of human-caused threats to the Great Barrier
Reef is, “But the most preventable hazard to
the reef is tourists.” But is the transitional
word that begins this sentence. Although
(choice a), also (choice b), and and (choice
d) can all be used as transitional words, but
they are not used in this passage to transi-
tion from the natural threats the Great Bar-
rier Reef faces to the human-caused threats
it faces. You may have been confused by
choice e since creeping seems like a threaten-
ing word. However, creeping cannot function
as a transitional word.
56. a. This statement encapsulates the primary purpose of the entire passage, not just a part
of it. Choices c and e are too specifc to be
correct. Choices b and d are not supported
by the passage.
Praxis® Core Academic Skills for Educators:
Writing Practice Test 2
Part I: Multiple-Choice
Time: 40 Minutes
Directions: Choose the letter for the underlined por-
tion that contains a grammatical error. If there is no
error in the sentence, choose e.
1. Even as the music industry pushes further into a b
the realm of the digital world, there are still a c
large number of people who collect vinyl
records and old-style amplifers and speakers. d
No error e
2. Today’s ski jackets are made with synthetic a
fabrics that are very light but yet provide b c
exceptional warmth and comfort. No error d e
3. After the director and assistant director both a
resigned, we could only guess who would be b c
hired to take their positions. No error d e
4. In Homers painting, a man in a storm at sea a b
is realistically portrayed. No error c d e
5. My favorite part though, is the vegetable chips a b
my mom buys from the health food store; they c d
are delicious. No error e
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6. Kwanzaa, a Swahili word meaning a
a harvest’s frst fruits, is a nonreligious holiday b
that honors African-American heritage and c d
culture. No error e
7. The record time for solving a Rubik’s cube is held by a 14-year-old male named Feliks a b
Zemdegs, who affectively completed the puzzle c
in 6.77 seconds on November 13, 2010. No error d e
8. There are many types of extreme sports, such like a
slacklining, a sport of daredevil proportions b
in which athletes walk and tumble across nylon c
webbing that has been stretched across a cavern d
and anchored on each end. No error e
9. Either the physicians or the hospital a
administrator are going to have to make a b
decision to ensure the fair treatment of c d
patients. No error e
10. Because they close resemble each other, many a b
people think that Sara and Heather are c
identical twins instead of fraternal. No error d e
11. The Department of State has foreign policy a
responsibilities that include the promotion of b
peace, must protect U.S. citizens abroad, and c d
the assistance of U.S. businesses in the foreign
marketplace. No error e
12. Contestants in the Scripps national spelling bee a
watched eighth-grader Sukanya Roy from b
Pennsylvania win the spelling bee’s coveted c
trophy and $40,000 in college scholarship funds. d
No error e
13. Here are one of the three scarves you left at a b c
my house yesterday morning. No error d e
14. I think I will do good on my fnal exam a
because I am confdent that I am well prepared, b c
rested, and relaxed going into the classroom. d
No error e
15. I thought Johan’s dish of gumbo was a
more spicier than Harold’s, but the judges b c d
disagreed. No error e
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16. Last Thursday, as the president of the university a b
addressed the student body, she made an c
illusion to the construction of a new stadium d
for the football team. No error e
Directions: For questions 17–28, choose the best
replacement for the underlined portion of the sentence.
If no revision is necessary, choose a, which always
repeats the original phrasing.
17. The principle objective of the documentary is to show you how global warming will effect
climates around the world.
a. principle objective of the documentary is to
show you how global warming will effect
b. principle objective of the documentary is to
show you how global warming will affect
c. principal objective of the documentary is to
show you how global warming will affect
d. principal objective of the documentary is to
show you how global warming will effect
e. principle objective of the documentary is to
show you how global warming will have
effected
18. This was the third of the three assignments the professor gave during this the month of
October.
a. This was the third of the three assignments
the professor gave during this the month of
October.
b. Of the three assignments the professor gave
during October, this was the third one.
c. Thus far during the month of October, the
professor had given three assignments and
this was the third.
d. This third assignment of the professor’s
given during the month of October was one
of three assignments.
e. This was the third assignment the professor
had given during the month of October.
19. I don’t have no math homework this weekend, but I have to work on my paper for social
studies.
a. I don’t have no math homework this
weekend, but I have to work on my paper for
social studies.
b. I dont have any math homework this
weekend, but I have to work on my paper for
social studies
c. I don’t have any math homework this
weekend, but I have to work on my paper for
social studies.
d. I don’t have any math homework this
weekend, but I have too work on my paper
for social studies.
e. I don’t have any math homework this
weekend, but I has to work on my paper for
social studies.
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20. Built in Boston, the U.S.S. Constitution was given the nickname “Old Ironsides” because
her thick oak planks had defected many deadly
cannonballs in battle.
a. Built in Boston, the U.S.S. Constitution was
given the nickname “Old Ironsides” because
her thick oak planks had defected
b. Built in Boston, the U.S.S. Constitution was
given the nickname “Old Ironsides” because
her thick oak planks defect
c. The U.S.S. Constitution, being built in
Boston, is nicknamed “Old Ironsides”
because her thick oak planks had defected
d. Built in Boston, the U.S.S. Constitution will
be given the nickname “Old Ironsides”
because her thick oak planks had defected
e. The U.S.S. Constitution, to be built in
Boston, was given the nickname “Old
Ironsides” because her thick oak planks had
defected
21. Any passenger who is getting off at the next stop should move to the front.
a. passenger who is getting off at the next stop
b. passenger, who is getting off at the next stop
c. passenger who is getting off at the next stop,
d. passenger, who is getting off at the next stop,
e. passenger, whom is getting off at the next
stop,
22. The Gulf Stream is a warm current on the Atlantic’s surface, it originates in the Gulf of
Mexico and fows northeast.
a. Atlantic’s surface, it originates
b. Atlantics’ surface; it originates
c. Atlantic’s surface. Originating
d. Atlantics’ surface, and originating
e. Atlantic’s surface; it originates
23. My sister is mowing the lawn; my cousins and I is washing the windows.
a. mowing the lawn; my cousins and I is
washing the windows.
b. mowing the lawn; my cousins and I are
washing the windows.
c. mowing the lawn, my cousins and I are
washing the windows.
d. mowing the lawn: my cousins and I are
washing the windows.
e. mowing the lawn my cousins and I are
washing the windows.
24. Thomas has various study strategies; he takes notes, an outline, and answering practice
questions.
a. takes notes, an outline, and answering
practice questions.
b. took notes, outlining, and practicing
questions.
c. takes notes, makes outlines, and answers
practice questions.
d. taking notes, outlines and practiced
questions.
e. took notes, making outlines, and answer
practice questions.
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25. Prometheus and epimetheus, his brother, created life on earth, Epimetheus began with
animals.
a. Prometheus and epimetheus, his brother,
created life on earth, Epimetheus began with
animals.
b. Prometheus and Epimetheus, his brother,
created life on Earth; Epimetheus began with
animals.
c. Prometheus and epimetheus his brother,
created life on earth, Epimetheus began with
animals.
d. Prometheus and Epimetheus: his brother
created life on earth; Epimetheus began with
animals.
e. Prometheus and Epimetheus, his brother,
created life on earth Epimetheus began with
animals.
26. We loved our trip to the top of the Empire State Building where you could see the Statue
of Liberty, all of New York’s bridges, and the
tiny people on the streets below.
a. Empire State Building where you could see
b. Empire State Building; you could see
c. Empire State Building; where we saw
d. Empire State Building; we saw
e. Empire State Building in that you saw
27. When my father was young, him chopped fre- wood with axes.
a. When my father was young, him chopped
frewood with axes.
b. When my father was young, he chopped
frewood with axes.
c. When my father was young, his chopped
frewood with axes.
d. When my father was young, they chopped
frewood with axes.
e. When my father was young, it chopped
frewood with axes.
28. I have, an author of thrilling books for chil- dren, always admired Virginia Hamilton.
a. I have, an author of thrilling books for
children, always admired Virginia Hamilton.
b. I have, an author, always admired Virginia
Hamilton, of thrilling books for children.
c. I have always admired Virginia, an author of
thrilling books for children, Hamilton.
d. I have always admired Virginia Hamilton an
author of thrilling books for children.
e. I have always admired Virginia Hamilton, an
author of thrilling books for children.
Directions: Select the best answer for the following
questions.
29. Which of the following pieces of information would be least relevant in an essay about the
causes of World War II?
a. The causes of World War II have been the
topic of many books.
b. World War II offcially began when Germany
invaded Poland.
c. World War II began on September 1, 1939.
d. The treaty that ended World War I caused
unrest that led to World War II.
e. World War II fnally ended on September 2,
1945.
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30. Which of the following pieces of information would be least relevant in an essay about the
silent flm era?
a. Buster Keaton, Lillian Gish, and Charlie
Chaplin were some of the biggest stars of the
silent flm era.
b. The silent flm era saw the rise of all the
most important flm genres, including
drama, historical epic, comedy, horror, and
science fction.
c. Released in 1927, The Jazz Singer was the
frst flm to include spoken dialogue.
d. Title cards with printed words conveyed
dialogue and narration in silent flms.
e. Many contemporary flms include long
stretches of silent footage.
Directions: Choose the letter for the underlined por-
tion of the citations that contains an error. If there is
no error in the citation, choose e.
31. Ebook citation: Brueton, Diana. Many Moons: The Myth and
Magic, Fact and Fantasy of Our Nearest Heav-
enly Body. New York: Prentice Hall Press, 1991. a b
Google Books. Web. July 17, 2015. No error. c d e
32. Magazine citation: Bhob, Stewart. “Who Was William M. Gaines?”
a b
Comics Buyers Guide. February 28, 1997. c d
No error. e
Use the following passage to answer questions 33
through 36.
(1) According to the U.S. Centers for Disease
Control (CDC), almost 50% of American teens
are not vigorously active on a regular basis,
contributing to a trend of sluggishness among
Americans of all ages. (2) Adolescent female
students are particularly inactive: 29% are inac-
tive compared with 15% of male students.
(3) Unfortunately, the sedentary habits of
young “couch potatoes” often continues into
adulthood. (4) According to both the CDC and
the Surgeon General’s 1996 Report on Physical
Activity and Health, Americans become
increasingly less active with each year of age.
(5) Inactivity can be a serious health risk factor,
setting the stage for obesity and associated
chronic illnesses like heart disease or diabetes.
(6) Exercise sets the stage for building bone,
muscle, and joints, controlling weight, and pre-
venting the development of high blood
pressure.
(7) Some studies suggest that physical
activity may have other benefts for you.
(8) One CDC study found that high school stu-
dents who take part in team sports or are physi-
cally active outside of school are less likely to
engage in risky behaviors, like using drugs or
smoking. (9) Physical activity does not need to
be strenuous to be benefcial. (10) The CDC
recommends moderate, daily physical activity
for people of all ages, such as brisk walking for
30 minutes or 15 to 20 minutes of more intense
exercise. (11) A survey conducted by the
National Association for Sport and Physical
Education questioned teens about their atti-
tudes toward exercise and what it would take
to get them moving. (12) Teens chose friends
(56%) as their most likely motivators for
becoming more active, followed by parents
(18%) and professional athletes (11%).
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33. Which conclusion does the writer support with evidence from multiple resources?
a. Americans become increasingly less active
with each year of age.
b. Exercise sets the stage for building bone,
muscle, and joints, controlling weight, and
preventing the development of high blood
pressure.
c. Physical activity needs to be strenuous to be
benefcial.
d. Inactivity can be a serious health risk factor,
setting the stage for obesity and associated
chronic illnesses like heart disease or
diabetes.
e. “Couch potatoes” are people who spend
most of their time watching television and
eating unhealthy snacks.
34. In context, which revision to sentence 3 (sen- tence 3 follows) is most needed?
Unfortunately, the sedentary habits of
young “couch potatoes” often continues
into adulthood.
a. As it is now.
b. Unfortunately, the sedentary habits of young
“couch potatoes” often continuing into
adulthood.
c. Unfortunately, the sedentary habits of young
“couch potatoes” often continue into
adulthood.
d. Unfortunately, the sedentary habit of young
“couch potatoes” often continues into
adulthood.
e. The sedentary habits of young “couch
potatoes” often continues into adulthood.
35. In context, which revision to sentences 5 and 6 (sentences 5 and 6 follow) is most needed?
Inactivity can be a serious health risk
factor, setting the stage for obesity and
associated chronic illnesses like heart
disease or diabetes. Exercise sets the stage
for building bone, muscle, and joints,
controlling weight, and preventing the
development of high blood pressure.
a. As it is now.
b. Inactivity can be a serious health risk factor,
setting the stage for obesity and associated
chronic illnesses like heart disease or
diabetes. Building bone, muscle, and joints,
controlling weight, and preventing the
development of high blood pressure.
c. Inactivity can be a serious health risk factor,
setting the stage for obesity and associated
chronic illnesses like heart disease or
diabetes. Exercise sets the stages for building
bone, muscle, and joints, controlling weight,
and preventing the development of high
blood pressure.
d. Inactivity can be a serious health risk factor,
setting the stage for obesity and associated
chronic illnesses like heart disease or
diabetes. Exercise sets the stage for building
bone, muscle, and joints, and preventing the
development of high blood pressure.
e. Inactivity can be a serious health risk factor,
setting the stage for obesity and associated
chronic illnesses like heart disease or
diabetes. The benefts of exercise include
building bone, muscle, and joints,
controlling weight, and preventing the
development of high blood pressure.
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36. In context, which revision to sentence 7 (sentence 7 follows) is most needed?
Some studies suggest that physical activity
may have other benefts for you.
a. Change studies to study.
b. Replace for you with as well.
c. Replace suggest with suggests.
d. Replace other with the same.
e. Replace benefts with advantages.
Use the following passage to answer questions 37
through 40.
(1) Toni Morrison is one of the most renowned
and respected writers of our generation.
(2) Morrison’s visions are as epic and vivid as
her social conscience is formidable. (3) She is
perhaps best known for her 1977 novel Song of
Solomon and the 1987 novel Beloved, which
director Jonathan Demme adapted into a major
feature flm starring Oprah Winfrey. (4) Then, I
personally fnd her most powerful work to be
the 1973 novel Sula.
(5) The fctional setting of Sula—the
African-American section of Medallion, Ohio, a
community called “the Bottom”—is a place
where people, and even natural things, are apt
to go awry, to break from their prescribed
boundaries, a place where bizarre and unnatu-
ral happenings and strange reversals of the
ordinary are commonplace. (6) The very name
of the setting of Sula is signifcant; the Bottom
is located high up in the hills. (7) The novel is
furthermore flled with images of bad stuff,
both psychological and physical. (8) A great
part of the lives of the characters, therefore, is
taken up with making sense of the world, set-
ting boundaries, and devising methods to
control what is essentially uncontrollable. (9)
One of the major devices used by the people of
the Bottom is the seemingly universal one of
creating a scapegoat—in this case, the title
character Sula—upon which to project both the
evil they perceive outside themselves and the
evil in their own hearts. (10) Essentially, Morri-
son uses the small community of Sula to convey
good insights about our global society.
37. In context, which revision to sentences 3 and 4 (sentences 3 and 4 follow) is most needed?
She is perhaps best known for her 1977
novel Song of Solomon and the 1987 novel
Beloved, which director Jonathan Demme
adapted into a major feature flm starring
Oprah Winfrey. Then, I personally fnd
her most powerful work to be the 1973
novel Sula.
a. Replace Then with However.
b. Replace She with Morrison.
c. Replace best with greatest.
d. Replace director with flmmaker.
e. Change I to me.
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38. In context, which revision to sentence 5 (sentence 5 follows) is most needed?
The fctional setting of Sula—the African-
American section of Medallion, Ohio, a
community called “the Bottom”—is a
place where people, and even natural
things, are apt to go awry, to break from
their prescribed boundaries, a place where
bizarre and unnatural happenings and
strange reversals of the ordinary are
commonplace.
a. As it is now.
b. The fctional setting of Sula is the African-
American section of Medallion, Ohio, a
community called “the Bottom.” It is a place
where people, and even natural things, are
apt to go awry, to break from their
prescribed boundaries, a place where bizarre
and unnatural happenings and strange
reversals of the ordinary are commonplace.
c. The fctional setting of Sula—the African-
American section of Medallion, Ohio, a
community called “the Bottom”—is a place
where people, and even natural things, are
apt to go awry. They break from their
prescribed boundaries.
d. The fctional setting of Sula—the African-
American section of Medallion, Ohio, a
community called “the Bottom”—is a place
where people, and even natural things, are
apt to go awry.
e. The fctional setting of Sula is a place where
people, and even natural things, are apt to go
awry, to break from their prescribed
boundaries, a place where bizarre and
unnatural happenings and strange reversals
of the ordinary are commonplace.
39. In context, which revision to sentence 7 (sentence 7 follows) is most needed?
The novel is furthermore flled with
images of bad stuff, both psychological
and physical.
a. Replace novel with book.
b. Change bad stuff to mutilation.
c. Replace furthermore with not.
d. Change physical to philosophical.
e. Replace is with are.
40. In context, which revision to sentence 10 (sentence 10 follows) is most needed?
Essentially, Morrison uses the small
community of Sula to convey good
insights about our global society.
a. Replace Essentially with Incidentally.
b. Change small to pathetic.
c. Replace good with profound.
d. Change Sula to novel.
e. Replace global with worldwide.
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Part IIa: Argumentative Essay
Time: 30 Minutes
Directions: Carefully read the essay topic that follows. Plan and write an essay that addresses all points in the
topic. Make sure that your essay is well organized and that you support your central argument with concrete
examples. Allow 30 minutes for your essay.
There are more vegetarians in this country than ever before. Should school and workplace cafeterias
accommodate this dietary preference by offering vegetarian selections? Use specifc reasons and examples
to support your argument.
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Part IIb: Source-Based Essay
Time: 30 Minutes
Directions: The following assignment requires you to
use information from two sources to discuss the most
important concerns that relate to a specifc issue. When
paraphrasing or quoting from the source, cite each
source used by referring to the author’s last name, the
text’s title, or any other clear identifer. Allow 30 min-
utes for your essay.
Source 1
Assignment
Read the two passages carefully and then write an
essay in which you identify the most important con-
cerns regarding the debates concerning the adoption
of the Bill of Rights to the United States Constitution.
Your essay must draw on information from both of
the sources. In addition, you may draw on your own
experiences, observations, or reading. Be sure to cite
the sources whether you are paraphrasing or directly
quoting.
“John DeWitt” (pseudonym), Anti-Federalist Paper #2, Massachusetts, October 27, 1787 That the want of a Bill of Rights to accompany this proposed System, is a solid objection to it, pro- vided there is nothing exceptionable in the System itself, I do not assert. . . . A people, entering into society, surrender such a part of their natural rights, as shall be necessary for the existence of that society. They are so precious in themselves, that they would never be parted with, did not the pres- ervation of the remainder require it. They are entrusted in the hands of those, who are very willing to receive them, who are naturally fond of exercising of them, and whose passions are always striving to make a bad use of them. They are conveyed by a written compact, expressing those which are given up, and the mode in which those reserved shall be secured. Language is so easy of explanation, and so difficult is it by words to convey exact ideas, that the party to be governed cannot be too explicit. The line cannot be drawn with too much precision and accuracy. The necessity of this accu- racy and this precision increases in proportion to the greatness of the sacrifice and the numbers who make it. That a Constitution for the United States does not require a Bill of Rights, when it is consid- ered, that a Constitution for an individual State would, I cannot conceive. The difference between them is only in the numbers of the parties concerned[;] they are both a compact between the Gov- ernors and Governed the letter of which must be adhered to in discussing their powers. That which is not expressly granted, is of course retained.
The Compact itself is a recital upon paper of that proportion of the subject’s natural rights, intended to be parted with, for the benefit of adverting to it in case of dispute. Miserable indeed would be the situation of those individual States who have not prefixed to their Constitutions a Bill of Rights . . . those powers which the people by their Constitutions expressly give them; they enjoy by positive grant, and those remaining ones, which they never meant to give them, and which the Constitutions say nothing about, they enjoy by tacit implication, so that by one means and by the other, they became possessed of the whole. . . . That insatiable thirst for unconditional control over our fellow-creatures, and the facility of sounds to convey essentially different ideas, produced the first Bill of Rights ever prefixed to a Frame of Government. The people, although fully sensible that they reserved every title of power they did not expressly grant away, yet afraid that the words made use of, to express those rights so granted might convey more than they originally intended,
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they chose at the same moment to express in different language those rights which the agreement did not include, and which they never designed to part with, endeavoring thereby to prevent any cause for future altercation and the intrusion into society of that doctrine of tacit implication which has been the favorite theme of every tyrant from the origin of all governments to the present day.
Source 2
Alexander Hamilton writing as “Publius,” Federalist Paper #84, “Certain General and Miscellaneous Objections to the Constitution Considered and Answered” (1788) It has been several times truly remarked that bills of rights are, in their origin, stipulations between kings and their subjects, abridgements of prerogative in favor of privilege, reservations of rights not surrendered to the prince. . . . It is evident, therefore, that, according to their primitive signifcation, they have no appli- cation to constitutions professedly founded upon the power of the people, and executed by their immedi- ate representatives and servants. Here, in strictness, the people surrender nothing; and as they retain every thing they have no need of particular reservations. . . .
But a minute detail of particular rights is certainly far less applicable to a Constitution like that under consideration, which is merely intended to regulate the general political interests of the nation, than to a constitution which has the regulation of every species of personal and private concerns. If, therefore, the loud clamors against the plan of the convention, on this score, are well founded, no epithets of reproba- tion will be too strong for the constitution of this State. But the truth is, that both of them contain all which, in relation to their objects, is reasonably to be desired.
I go further, and affrm that bills of rights, in the sense and to the extent in which they are con- tended for, are not only unnecessary in the proposed Constitution, but would even be dangerous. They would contain various exceptions to powers not granted; and, on this very account, would afford a color- able pretext to claim more than were granted. For why declare that things shall not be done which there is no power to do? Why, for instance, should it be said that the liberty of the press shall not be restrained, when no power is given by which restrictions may be imposed? I will not contend that such a provision would confer a regulating power; but it is evident that it would furnish, to men disposed to usurp, a plau- sible pretense for claiming that power. They might urge with a semblance of reason, that the Constitution ought not to be charged with the absurdity of providing against the abuse of an authority which was not given, and that the provision against restraining the liberty of the press afforded a clear implication, that a power to prescribe proper regulations concerning it was intended to be vested in the national govern- ment. This may serve as a specimen of the numerous handles which would be given to the doctrine of constructive powers, by the indulgence of an injudicious zeal for bills of rights.
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Praxis® Core Academic Skills for Educators:
Writing Practice Test 2 Answers and Explanations
1. e. Because there are no grammatical, idiom- atic, logical, or structural errors in this sen-
tence, choice e is the best answer.
2. c. Because the words but and yet mean the same thing, this sentence contains a redun-
dancy. Either one of these words should be
deleted.
3. e. Because there are no grammatical, idiom- atic, logical, or structural errors in this
sentence, choice e is the best answer.
4. a. Homer’s requires an apostrophe “s” to show possession.
5. a. A comma is needed in this sentence to indi- cate or set off parenthetical elements. A par-
enthetical element is segment that can be
removed without changing the essential
meaning of that sentence.
6. e. Because there are no grammatical, idiom- atic, logical, or structural errors in this sen-
tence, choice e is the best answer.
7. c. The correct word choice would be effectively, meaning “to cause a result.” Affective refers
to “the ability to infuence or alter someone’s
mental state.”
8. a. In this comparison, the word as should be used instead of like. The use of as completes
the idiom such as.
9. b. When two subjects are connected with the conjunction or, the subject that is closer to
the verb will determine whether the verb is
singular or plural. The verb in this sentence
should be is because administrator—the
closer subject—is singular.
10. a. This is a grammatical error. Because the word modifes the verb resemble, the adverb
closely should be used instead of the adjec-
tive close.
11. c. This is an error in sentence construction. For proper parallel construction in the sentence,
must protect should be changed to the protec-
tion of to match the promotion of and the
assistance of.
12. a. Scripps National Spelling Bee is a proper noun. It is the specifc name used to identify
a contest, so it must be capitalized.
13. a. This is an error in agreement. The singular noun one requires the singular verb is. When
the subject (in this case one) follows the
verb, as in a sentence beginning with here or
there, be careful to determine the subject. In
this sentence, the subject is not the plural
noun scarves but the singular one of the
three scarves.
14. a. In this sentence, the word good is being used as an adverb telling how the student thinks
he or she will do on the test. Therefore, good
should be replaced with well. This is a word-
choice error.
15. b. Using more or most before a comparative adjective or adverb is an example of a redun-
dancy. In this sentence, just using the word
spicier is enough to establish the proper
comparison between the two dishes of
gumbo.
16. d. This is an error of commonly confused homonyms (words that sound alike). The
use of the word illusion makes this sentence
illogical. An illusion is something that is
not what it seems. The correct word choice
would be allusion, which means a reference
or hint.
17. c. The word principle, meaning rule, can only be used as a noun. Principal, meaning lead-
ing or main, can be used as a noun or as an
adjective. In this sentence, it is clearly an
adjective, which rules out choices a, b, and e.
Choice d incorrectly uses the word effect.
The verb affect means to produce an effect
(noun) on something.
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18. e. This is the only choice that does not contain excessive wordiness and matches the tenses
of was and had given. In choice a, the phrase
the third of the three is a redundancy. Choice
b is also repetitive in using both three and
third. Choices c and d, although constructed
differently, make the same error.
19. c. This is the only choice that is grammatically correct in every way. Choice a is a double
negative using the word no. Choice b needs
an apostrophe in the word don’t. Choice d
uses the word too when it should be to.
Choice e uses the word has, which is the
wrong subject-verb agreement.
20. a. When constructing sentences, unnecessary shifts in verb tenses should be avoided.
Choice a is best because all three verbs in the
sentence indicate that the action occurred in
the past (built, was given, and had defected).
In choice b, there is a shift to the present
(defect). Choice c begins in the present
(being built, is nicknamed), and then shifts to
the past (had defected). Choice d starts in
the past tense (built), shifts to the future
(will be given), and then reverts back to the
past (had defected). Finally, choice e shifts
from the future (to be built) to past tense
(was given, had defected).
21. a. The clause who is getting off at the next stop is a restrictive (essential) clause and should not
be set off by commas. Choices b, c, d, and e
are all punctuated incorrectly. In addition,
choice e uses the pronoun whom, which is
the wrong case.
22. e. There are two potential problems in this sentence. One is the possessive form of the
word Atlantic, and the other is the punctua-
tion between the two clauses. Choice e uses
the correct possessive form (there is only
one Atlantic Ocean), and the correct punc-
tuation (a semicolon should be used
between two independent clauses). Choice a
is incorrect because it creates a comma
splice. Choice b uses the incorrect possessive
form. Choice c creates a sentence fragment.
Choice d creates faulty subordination.
23. b. This sentence requires a semicolon to sepa- rate the independent clauses and subject-
verb agreement between my cousins and I
and are.
24. c. The second clause of this sentence requires a parallel construction. Choice c is the only
one in which all three elements are parallel.
25. b. Choice b is correct, as it correctly punctuates this sentence with commas around the par-
enthetical his brother, inserts a semicolon
between the independent clauses, and capi-
talizes Earth and Epimetheus (as the latter is a
person’s name and therefore a proper noun).
26. d. Choice d is correctly punctuated with a semicolon between two independent clauses,
and there is no shift in person (i.e., every-
thing is in the frst person). Choices a, b, and
e are incorrect because the sentence shifts
from the frst person (we) to the second per-
son (you). Choice c uses a semicolon when
no punctuation is necessary.
27. b. The original sentence has an error in pro- noun case; it requires the nominative pro-
noun he instead of the objective pronoun
him. Choice c requires he instead of the pos-
sessive pronoun his. Choices d and e would
not be grammatically incorrect if the pro-
noun did not refer to my father, but because
the pronoun does refer to my father, they are
wrong.
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28. e. The original sentence contains a misplaced modifer. The phrase an author of thrilling
books for children modifes Virginia Hamil-
ton, so it should be placed directly before or
after that name and offset with a comma.
Only choice e places the modifer correctly.
Choice b is particularly confusing because it
splits up the modifer. Choice c mistakenly
places the modifer in the middle of the
name it modifes. Choice d fails to offset the
modifer with a comma.
29. a. Books about the causes of World War II might be relevant resources for an essay on
that topic, but the fact that such books exist
is irrelevant. Choices b and d pertain directly
to the causes of World War II. The date the
war began (choice c) would certainly be rel-
evant information to include in an essay
about the causes of World War II. While the
date the war ended (choice e) might seem
off topic for an essay about the causes of the
war, it would likely be more relevant than
the fact that World War II has been the
topic of many books.
30. e. The fact that many contemporary flms include long stretches of silent footage is not
particularly relevant to a discussion of the
silent flm era. The information in choices a,
b, c, and d are all more relevant to the topic.
31. a. The title of a book should always be itali- cized, but this citation fails to italicize the
title. The other elements of the citation are
all written and formatted correctly.
32. d. When citing a magazine article, it is impor- tant to include the page number/numbers
on which the article originally appeared
immediately after the date of publication.
This citation fails to include the page num-
ber/numbers. The other elements of the cita-
tion are all written and formatted correctly.
33. a. In sentence 4, the writer cites both the CDC and the Surgeon General’s 1996 Report on
Physical Activity and Health as sources of
this information. Although the information
in choices b and d may have come from
resources, the writer does not cite them in
the passage, so they are not the best answer
choices. In sentence 9, the writer states the
opposite of the conclusion in choice c. The
writer never explicitly defnes the term couch
potato in the passage, so choice e cannot be
correct.
34. c. Sentence 3 contains a subject-verb agree- ment error. The plural subject habits needs
the plural verb continue. Choice c corrects
this error with the plural verb continue.
Choice b uses the wrong verb tense. While
choice d uses the singular verb continues
with the singular subject habit, the subject
refers to the plural couch potatoes, so it needs
to be plural, as well. Choice e merely
removes the transitional word Unfortunately
without correcting the subject-verb agree-
ment error.
35. e. As originally written, sentence 6 repeats the phrase set the stage from sentence 5. Remov-
ing that phrase from sentence 6 makes the
sentences less repetitious and monotonous.
Choice e removes that phrase while remain-
ing grammatically correct. Choice b removes
the phrase, but it is a fragment because it
also removes the subject exercise. Choice c
changes the singular stage to the plural
stages, which makes the sentence awkward
and fails to correct the original problem of
monotony. Choice d removes information
arbitrarily (controlling weight) and fails to
correct the original problem of monotony.
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36. b. As it is originally written, sentence 7 is not consistent with the style of the rest of the
passage. The majority of the passage is writ-
ten in the third-person point of view. Sen-
tence 7 switches to the second person by
referring to the reader as you. Choice b cor-
rects this shift in style by removing the
phrase for you. Choice c fails to correct that
shift in style and introduces a subject-verb
agreement error by changing suggest to sug-
gests. Choice d changes the meaning of the
sentence. Choice e merely replaces the word
benefts with the synonym advantages with-
out correcting the style-shift error.
37. a. Sentence 4 introduces an idea (Sula is Toni Morrison’s most powerful novel) that is
somewhat contrary to the ideas in sentence 3
(Song of Solomon and the 1987 novel Beloved
are Toni Morrison’s best-known novels).
Therefore, However would be the best transi-
tional word to begin sentence 4, since it indi-
cates a contrary idea. Then indicates an idea
that follows the previous one without con-
tradicting it. Choice b changes a pronoun to
a proper name unnecessarily. Choice c
replaces a word with a synonym that creates
an idiom error (greatest known). Choice d
replaces director with the synonym flm-
maker without improving the sentence.
Choice e makes the sentence grammatically
incorrect.
38. a. Although sentence 5 is long and complex, it is grammatically correct, and its length and
complexity provide the variety necessary to
maintain the reader’s interest and prevent
the passage from becoming monotonous.
Although the other answer choices are all
grammatically correct, none of them
improves upon sentence 5 as it is now.
Choices c, d, and e make cuts that deprive
the passage of information.
39. b. The majority of this passage is written for an educated, adult audience. Using the euphe-
mism bad stuff does not respect that audi-
ence’s intelligence. The word mutilation is
much more precise. Choice a replaces novel
with the synonym book without improving
the sentence. Choices c and d change the
meaning of the sentence. Choice e creates a
grammatical error.
40. c. The word good is not used incorrectly in this sentence, but it is not a very strong word
choice. Replacing it with the stronger word
profound makes the sentence more effective.
Choice a changes the sentence’s meaning
since Incidentally has the opposite meaning
of Essentially. Choice b also makes the
meaning of the sentence inaccurate. Choice
d is incorrect because the writer is not using
the word Sula to mean the novel’s title in
this sentence; she is referring to the commu-
nity in the novel. Choice e replaces the word
global with a synonym (worldwide) that does
not make the sentence incorrect, but does
not improve it either.
Sample Responses for the Argumentative Essay
Following are sample criteria for scoring an argu-
mentative essay.
A score 6 writer will n create an exceptional composition with a clear
thesis that appropriately addresses the audience
and given task. n organize ideas effectively and logically, include
very strong supporting details, and use smooth
transitions. n present a defnitive, focused thesis and clearly
support it throughout the composition.
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n include vivid, strong details, clear examples, and
supporting text to support the key ideas. n exhibit an exceptional level of skill in the usage of
the English language and the capacity to employ
an assortment of sentence structures. n build essentially error-free and varied sentences
that accurately convey intended meaning.
A score 5 writer will n create a commendable composition that appro-
priately addresses the audience and given task. n organize ideas, include supporting details, and
use smooth transitions. n present a thesis and support it throughout the
composition. n include details, examples, and supporting text to
enhance the themes of the composition. n generally exhibit a high level of skill in the usage
of the English language and the capacity to
employ an assortment of sentence structures. n build mostly error-free sentences that accurately
convey intended meaning.
A score 4 writer will n create a composition that satisfactorily addresses
the audience and given task. n display satisfactory organization of ideas, include
adequate supporting details, and generally use
smooth transitions. n present a thesis and mostly support it throughout
the composition. n include some details, examples, and supporting
text that typically enhance most themes of the
composition. n exhibit a competent level of skill in the usage of
the English language and the general capacity to
employ an assortment of sentence structures. n build sentences with several minor errors that
generally do not confuse the intended meaning.
A score 3 writer will n create an adequate composition that basically
addresses the audience and given task. n display some organization of ideas, include some
supporting details, and use mostly logical
transitions. n present a somewhat underdeveloped thesis but
attempt to support it throughout the
composition. n exhibit an adequate level of skill in the usage of
the English language and a basic capacity to
employ an assortment of sentence structures. n build sentences with some minor and major
errors that may obscure the intended meaning.
A score 2 writer will n create a composition that restrictedly addresses
the audience and given task. n display little organization of ideas, have inconsis-
tent supporting details, and use very few
transitions. n present an unclear or confusing thesis with little
support throughout the composition. n include very few details, examples, and support-
ing text. n exhibit a less than adequate level of skill in the
usage of the English language and a limited
capacity to employ a basic assortment of sentence
structures. n build sentences with a few major errors that may
confuse the intended meaning.
A score 1 writer will n create a composition that has a limited sense of
the audience and given task. n display illogical organization of ideas, include
confusing or no supporting details, and lack the
ability to effectively use transitions. n present a minimal or unclear thesis. n include confusing or irrelevant details and exam-
ples, and little or no supporting text.
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n exhibit a limited level of skill in the usage of the
English language and little or no capacity to
employ basic sentence structure. n build sentences with many major errors that
obscure or confuse the intended meaning.
Sample Score 6 Argumentative Essay It’s a fact: more and more people across the United
States are vegetarian, and school and workplace cafete-
rias should be required to provide vegetarian lunch
options for them. There are many reasons why vegetar-
ians choose this diet: health concerns, moral issues, and
religion among them. Schools and workplaces should
honor these reasons by making it easier for vegetarians
to purchase healthful, meat-free lunches.
Some vegetarians are responding to the generally
unhealthy American diet, which often includes plenty of
fast food and processed meats. They prefer salads, vege-
tables, and protein sources such as beans, soy-based
products, and dairy products. However, cafeterias, both
in schools and in businesses, tend to resemble fast food
restaurants, offering such items as hamburgers, fried
chicken, pizza, French fries, and sodas. If they also
stocked healthier, meat-free choices, not only would the
vegetarians be accommodated, but others would have
the opportunity to enjoy healthier options.
It would not be diffcult to transform the typical
school or workplace cafeteria into a vegetarian-friendly
one. Many of the lunch selections currently offered could
be made vegetarian with a few simple and inexpensive
substitutions. Veggie burgers offered alongside beef
burgers, for example, would give vegetarians a satisfac-
tory option. Tacos, burritos, and other Mexican entrees
could be made with beans rather than ground beef. A
salad bar would serve the dual purpose of providing
both vegetarians and others concerned about their
health and weight the opportunity for a satisfying meal.
These changes, while relatively simple for cafeterias to
incorporate, would provide vegetarians with acceptable
lunch selections, and in the process, provide all the stu-
dents or employees they serve with more healthful alter-
natives.
Comments on the Sample Argumentative Essay That Received a Score of 6 The author has created a solid, good argument with a
clear thesis that is both defnitive and focused. This
essay successfully addresses the issue at hand with an
effective organization. The supporting details are cor-
rect, logical, and relevant. It uses smooth transitions,
clear examples, and specifc details. The key ideas are
readily apparent and explored throughout the essay
through varied sentence structures. The author dis-
plays a clear mastery of the subject and of the English
language.
Sample Score 4 Argumentative Essay In the United States there are many people who are veg-
etarian. Many of these people are students or workers
who eat lunch at their cafeterias on a daily basis. Sur-
prisingly though, school and workplace cafeterias are
not required to provide vegetarian options. That means
that most often they don’t. That means that vegetarians
may be limited to lunches comprised of French fries, or
pizza loaded with cheese. While these are vegetarian
(non-meat), they are not healthy, especially if they are
eaten every day.
Schools and businesses should have a wider vari-
ety of vegetarian options. Such as a salad bar, or per-
haps even something with tofu. Entrees that use beans
or soy-based products instead of meat would also be
good. It wouldn’t cost cafeterias more money to provide
vegetarian lunches. In fact, the ingredients used to make
them (like beans) are typically much cheaper than their
carnivorous counterparts (like ground beef). Salads
require little preparation in comparison with French
fries, which could save money on payroll. Also, cafete-
rias could buy premade vegetarian selections in bulk,
just as they do non-vegetarian dishes. These premade
foods are becoming more and more popular, and are
not more expensive.
While cafeterias can’t meet all the demands of
those they serve, it is important to offer those committed
to a vegetarian lifestyle the choice to eat healthfully and
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meat-free. Schools should create a menu that offers
these options for all students.
Comments on the Sample Argumentative Essay That Received a Score of 4 The author has done a workmanlike job. The essay
accomplishes what it sets out to do, addressing the
issue at hand. It is fairly well organized and gives rea-
sonable details and arguments. It wants somewhat for
style, but displays adequate rhetorical skills and mas-
tery of the English language. For the most part, it is
grammatically and orthographically correct.
Sample Score 1 Argumentative Essay Many people are vegetarian and don’t eat meat. This
may be because they are afraid of diseases found in
meat, such as mad cow disease, salmanella, or avian
infuenza. Or, they may not eat meat because of their
religion. Some care about animal rites, and others are
vegetarian because they are concerned about their
health. They believe a vegetarian diet will help them
lose weight and in general improve their health. But
this is not necessarily the case. You could just eat French
fries, cold cereal, and pizza every day and be a vegetar-
ian. Vegetarians need to learn about how to eat this diet
and make it healthy too. School and workplace cafete-
rias could help by offering them good selections at
lunch.
Comments on the Sample Argumentative Essay That Received a Score of 1 The essay is short, poorly organized, and does not
fulfll the requirements. There are a number of gram-
matical and spelling mistakes, as well as poor transi-
tions and weak sentence structure. The argument is
not convincing, and the author does not give the
appearance of caring much about the subject.
Sample Responses for the Source-Based Essay
Following are sample criteria for scoring a source-
based essay.
A score 6 writer will n create an exceptional composition explaining why
the concerns are important and support the
explanation with specifc references to both
sources. n organize ideas effectively and logically, include
well-chosen information from both sources, link
the two sources in the discussion, and use smooth
transitions. n exhibit an exceptional level of skill in the usage of
the English language and the capacity to employ
an assortment of sentence structures. n build essentially error-free and varied sentences
that accurately convey intended meaning. n cite both sources when quoting or paraphrasing.
A score 5 writer will n create a commendable composition that explains
why the concerns are important and supports the
explanation with specifc references to both
sources.. n organize ideas effectively and logically, include
information from both sources, link the two
sources, and use smooth transitions. n generally exhibit skill in the usage of the English
language and the capacity to employ variety in
sentence structures. n build mostly error-free sentences that accurately
convey intended meaning. n cite both sources when quoting or paraphrasing.
A score 4 writer will n create a composition that satisfactorily explains
why the concerns are important and supports the
explanation with specifc references to both
sources.
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n use information from both sources to convey why
the concerns discussed in the sources are
important. n display satisfactory organization of ideas, include
adequate details, and link the two sources. n exhibit a competent level of skill in the usage of
the English language and the general capacity to
employ an assortment of sentence structures. n build sentences with several minor errors that
generally do not confuse the intended meaning. n cite both sources when quoting or paraphrasing.
A score 3 writer will n create an adequate composition that basically
addresses the audience and given task but conveys
the importance of the concerns in only a limited
way. n use information from only one source or inade-
quately from both sources to convey why the con-
cerns discussed in the sources are important. n display some organization of ideas and include
some supporting details. n exhibit an adequate level of skill in the usage of
the English language and a basic capacity to
employ an assortment of sentence structures. n build sentences with some minor and major
errors that may obscure the intended meaning. n cite sources when quoting or paraphrasing.
A score 2 writer will n fail to explain why the concerns are important. n use information from only one source poorly or
fail to convey why the concerns discussed in the
sources are important. n display little organization of ideas, have inconsis-
tent supporting details, and fail to link the two
sources. n exhibit a less than adequate level of skill in the
usage of the English language and a limited
capacity to employ a basic assortment of
sentence structures.
n build sentences with a few major errors that may
confuse the intended meaning. n fail to cite sources when quoting or paraphrasing.
A score 1 writer will n display illogical organization of ideas, include
confusing or no supporting details, and fail to
adequately address the concerns raised by the
sources. n include confusing or irrelevant details and exam-
ples, and few or no supporting references. n exhibit a limited level of skill in the usage of the
English language and little or no capacity to
employ basic sentence structure. n build sentences with many major errors that
obscure or confuse the intended meaning.
Sample Score 6 Essay The Bill of Rights—the frst ten amendments to the U.S.
Constitution—is a part of American jurisprudence that
is today often taken for granted. The Bill of Rights
grants such fundamental liberties as the freedom of
speech, freedom of religion, and protection against
unreasonable search and seizure. However, there was a
vigorous debate in the early Republic over whether a
Bill of Rights should be adopted. Ironically, it was Alex-
ander Hamilton, author of many of the Federalist
Papers and proponent of a strong central government—
the side eventually victorious—that would argue
against the adoption of such a bill.
“John DeWitt,” speaking for the anti-Federalists,
raises sound arguments in favor of a bill of rights.
Entering into a form of government, by its nature,
entails giving up some of one’s natural rights. (This
train of thought was in keeping with Enlightenment fg-
ures such as John Locke.) These rights are so important
and fundamental, that one must carefully delineate
what powers are allotted to the government, and which
retained, or, as he writes, “The line cannot be drawn
with too much precision and accuracy.” Furthermore,
such legislation would prevent any confusion. Antici-
pating modern debates over the “original intent” of the
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Founding Fathers, “DeWitt” points out that “Language
is so easy of explanation, and so diffcult is it by words
to convey exact ideas, that the party to be governed can-
not be too explicit.” Thus, the new nation needed a bill
of rights to eliminate any ambiguity.
One Federalist argument claimed that a constitu-
tional bill of rights was unnecessary owing to the fact
that states already had such verbiage affxed to their
own constitutions. DeWitt counters this by saying that
if states had Bills of Rights, why not the Federal govern-
ment? To do so would be a check on governmental over-
reach, and reassure people that they retained all rights
not specifcally allocated to the Federal government.
In rebutting this, Hamilton, writing for the Feder-
alists, deploys two arguments. First, he makes an appeal
to the dignity of the new nation: bills of rights were
made between rulers and subjects, and are not suited to
a free country of free citizens. This, however, is mere
rhetoric, and Hamilton proceeds to the meat of the mat-
ter. He points out that the central government was
intended to be weak, and thus a Bill of Rights is super-
fuous: “a minute detail of particular rights is certainly
far less applicable to a Constitution like that under con-
sideration . . . than to a constitution which has the regu-
lation of every species of personal and private concerns.”
Worse, by explicitly mentioning exceptions to powers
not even mentioned, they would “afford a colorable pre-
text to claim more than were granted.” Thus, a bill of
rights, Hamilton feared, could lead to emboldened citi-
zens seeking to overstep their granted rights.
The debates over the American Bill of Rights are
one of the ironies of history. The very statutes that today
ensure our liberties—and which have been expanded by
judicial opinion to include contingencies that would
have been completely foreign to the Founding Fathers
like immigration rights and interracial marriage—were
once seen as superfuous and even detrimental to a
democratic way of life. Ultimately—in this matter, at
least—the Anti-Federalists would prevail, and the frst
ten amendments to the U.S. Constitution stand as one
of the foundational documents of the Western concept
of freedom and liberty.
Comments on the Sample Source-Based Essay That Received a Score of 6 This is an outstanding essay. The author has clearly
explained why the topic is important, making refer-
ence to both sources, and clearly, effectively, and logi-
cally organized the ideas under discussion. The
author has linked these ideas together into a thematic
and impartial essay on the subject of the debate over
the Bill of Rights. She or he clearly understands the
issue, and has additionally brought in a great deal of
outside information. The use of the English language
is exemplary, with a wide variety of error-free sen-
tences that clearly convey the intended meaning. Both
sources are extensively and accurately cited. The
author furthermore correctly understands the use of
advanced rhetorical techniques like irony and logical
fallacies.
Sample Score 4 Essay From the very beginning, the Bill of Rights, which gives
Americans freedom of speech, the freedom of religion,
and freedom to own guns has been the subject of the
controversy. The two sides of the debate were the Feder-
alists and Anti-Federalists. The Federalists did not want
a Bill of Rights, while the Anti-Federalists did.
John de Witt says that when people form govern-
ments, they give up some rights. It is therefore impor-
tant to say which rights are given up, for as he says,
“The line cannot be drawn with too much precision and
accuracy.” He also says that people might be confused as
to which rights were given up. A Bill of Rights would
help to prevent this confusion. Also, if states had Bills of
Rights, why shouldn’t the Federal government? This
would prevent people from taking too much power,
since people naturally want to gain power over other
people.
Alexander Hamilton disagrees with this opinion.
First, he says that Bills of Rights were made between
rulers and subjects. Since Americans are not subjects,
they do not need a Bill of Rights. He also says that since
the government would not have any powers the Consti-
tution did not grant it, a Bill of Rights is not needed.
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He is even afraid that giving a Bill of Rights might
make the government think it had more power than it
really did.
Obviously, the Anti-Federalists won this debate.
Still, I feel that that people should listen to Alexander
Hamilton today. The government has taken too much
power. The Bill of Rights is there to stop the government
from over-reaching.
Comments on the Sample Source-Based Essay That Received a Score of 4 This composition satisfactorily explains why the con-
cerns in the topic are important and supports the
explanation with specifc information and references
to both sources. However, though the author is able
to deploy information from both sources to discuss
the source, he or she does not have a deep historical
background. The essay is satisfactorily organized and
uses adequate details. The use of English is compe-
tent, with some variety in sentence structures. Errors
are minor, and do not interfere with general under-
standing. Finally, the essay writer fails to be com-
pletely objective.
Sample Score 1 Essay Today, the government does a lot of things it shouldn’t.
The government wants to take away guns (2 Amend-
ment) and make us buy health care even if we like the
health care we have right now (1 Amendment). Also the
CIA and NSA are spying on us and violating our rights
against searching and seizing.
The Founding Fathers came up with the best sys-
tem of government anywhere. They knew what they
were ding. In the Bill of Rights to the Constitution, they
insured that we would not have our rights taken away.
The problem with America today is that people are not
listening to what the Founding Fathers said.
I think that we should go back to the original
intent of the Founding Fathers. The USA should be One
Nation Under God, Indivisible, With Liberty and Jus-
tice.
Comments on the Sample Source-Based Essay That Received a Score of 1 This essay displays an illogical organization of ideas
and badly mismanages supporting details. The author
shows no understanding of the issues. What details
the essay does bring in are completely irrelevant. It
also fails to adequately address the concerns raised by
the sources. The level of English usage is poor at best
and confuses the intended meaning. Finally, it fails to
deal with the sources objectively.
176176
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__
Praxis® Core Academic Skills for Educators:
Mathematics Practice Test 2
Time: 85 Minutes
Directions: Choose the best answer to each of the
following questions.
1. Alec needs 432 inches of molding to put along the ceiling of his dining room. How many
yards of molding should he buy?
a. 12
b. 43.2
c. 15,552
d. 36
e. 440
2. John, Mike, and Dillon are painting a fence. John paints 1 of the fence and Mike paints 2 4 5 of the fence. How much of the fence is left to
paint for Dillon?
3. The Andersons went out to dinner Saturday night and had a bill of $190.00. They gave the
server a 25% tip. How much money did the
Andersons tip their server?
a. $19
b. $47.50
c. $38
d. $38.50
e. $47
4. Tanya can pack 4 boxes of fragile dishware in 25 minutes. How many minutes would it take
her to pack 28 boxes of fragile dishware?
5. Consider the line in the graph that follows:
y
(–4,1)
(3,–2)
Which of the following is the equation of this
line?
a. 7x + 3y = 15
b. 3x + 7y = –5
c. 7x + 3y = 15
d. y + 2 = –(x – 3)
e. y + 4 = – 3 (x – 1)7
6. John must rent vans to take the children from his summer camp on a feld trip. There are 34
children, 6 counselors, and 11 assistants who
will be going on the trip. If each van can
accommodate 9 people, how many vans must
John rent?
a. 9
b. 51
c. 6
d. 5
e. 7
7. Which of the following is equivalent to 6 × 7 + 6 × 9?
a. 6(7 + 9)
b. 6 + 7 × 6 + 9
c. (6 × 7) + 9
d. (6 × 7) × (6 × 9)
e. 6(7 × 9)
x
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8. Out of 100 workers polled at a local factory, 75 said they would favor being offered a course in
management. If there are 25,000 workers, how
many would you expect to favor being offered
such a course?
a. 1,875
b. 18,750
c. 15,000
d. 16,000
e. 19,000
9. Which of the following is equivalent to the expression xy · yzx5?
2 2a. 5x y z 5 2b. x y z
c. 12xyz 6 2d. x y z
e. x6y6z5
10. Jake rents a car for $200 each month, which includes 1,000 miles for the month. He is
charged an additional $0.55 for each mile
driven over 1,000. If x represents the total mile-
age Jake drives each month, and if he always
drives over 1,000 miles per month, which of
the following expressions can be used to calcu-
late his total monthly car rental bill?
a. 200 + 0.55x
b. 200 + 0.55(x – 1,000)
c. 200x + 0.55
d. 200 × 0.55x
e. 200x + 0.55(x – 1,000)
11. Suppose a = –5, b = –2, and c = –3. Evaluate 2ac – abc.
12. Given the equation y = 7 + 3(2x − 2), what is the value of y when x = 6?
a. 14
b. 21
c. 25
d. 35
e. 37
Use the following chart to answer question 13.
How People Get to Work
Car
Bicycle
Bus
Walk Taxi
13. What is the total percentage of people who use a car or bicycle to get to work?
a. 50%
b. 25%
c. 80%
d. 40%
e. 55%
14. Which of the following fractions is/are between 1 5 and
1 8? Indicate all that apply.
1 a. 4 b. 1 3
1c. 7
d. 7 2
3 e. 16
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15. Jessica received grades of 85, 90, 70, 85, and 100 on her math tests this semester. What grade
will she receive in math for the semester?
a. 70
b. 85
c. 86
d. 90
e. 100
Use the following fgure to answer questions 16 and
17.
A
17. If Paul drives to work fve days a week using route A to B, how many fewer miles will he
drive than if he used route A to C to B over a
period of 3 weeks?
a. 15 miles
b. 20 miles
c. 35 miles
d. 45 miles
e. 60 miles
18. Which of the following is the solution of this
system of equations?
⎧ ⎨ ⎩
−x – 4y = 18
4y + x = 26
BC
12 c
a. x = 10, y = –2
b. x = 2, y = 6
c. x = 0, y = 0
d. x = 22, y = 1
e. no solution
19. Aidan and James sell a total of 48 magazines. If Aidan sells 3 times more magazines than
James, how many magazines does James sell?
20. Nella wants to buy wood chips to cover the 5
(Numbers indicate miles)
16. Paul drives to work each day using the route A to C to B, which is a total of 17 miles. Recently,
a new road was fnished that went directly
from A to B. How many fewer miles will Paul
be driving each day to work if he uses the new
route?
a. 2 miles
b. 3 miles
c. 4 miles
d. 5 miles
e. 6 miles
play area in her backyard. The area is 12 feet
long and 6 feet wide. She wants the wood chips
to be 3 inches deep. How many cubic inches of
wood chips does Nella need to buy?
a. 216 cubic inches
b. 500 cubic inches
c. 2,160 cubic inches
d. 21,160 cubic inches
e. 31,104 cubic inches
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Use the following dot plot to answer questions 21 and 22. 24. Mary has exactly 1,560 hours until her vacation begins. How many days are there before her
X vacation begins?X X X X X a. 30 X X X b. 50 X X X X X X X c. 65 X X X X X d. 75
X X X X X X e. 37,4403 4 5 6 7 8 9 10
Quiz Scores KEY: X = 1 Student 25. A rose garden on a square plot of land has an
open wooden fence that is 320 feet long around
its perimeter. What is the approximate length 21. According to the dot plot, how many students of the diagonal of this plot of ground to the
scored at least an 8 on the quiz? nearest foot? a. 5 a. 80 feet b. 8 b. 226 feet c. 11 c. 6,400 feet d. 16 d. 139 feet e. 27 e. 113 feet
22. What fraction of students earned a 7 or 8 on Use the following graph to answer questions 26 and 27. the quiz?
8 Car Rental Rates a. 10 240 6 220b. 10
2008 c. 27 180 6 160d. 27
14 e. 27
R at
e in
$ 140
120
100
23. Alexa is making costumes for the school play. 80 She needs 15 yards of fabric to make 3 cos-
60
40 tumes. How many yards of fabric would she 20 need to make 8 costumes? 0
60
110
160
210
200 300 400 a. 30 yards
b. 40 yards
c. 45 yards
d. 50 yards
e. 60 yards
100 Miles Traveled
26. Which equation best represents the graph? a. y = 2x
b. y = x − 40
c. y = 2x − 40
d. y = 1 2 x + 40
e. y = 1 2 x + 10
180180
181181
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__
27. If the x-axis is extended, what will y be when x = 700?
a. 260
b. 300
c. 310
d. 360
e. 400
28. A factory operates 15 machines that each make between 90 and 120 tennis balls per minute.
Which of the following could be the number of
tennis balls produced in an hour if all 15
machines are working at the same time?
a. 900
b. 1,200
c. 9,000
d. 28,000
e. 90,000
29. The area of Melissa’s rectangular garden is 330 square feet. The width of the garden is 15 feet.
How many feet of fence does Melissa need to
buy to surround the entire garden?
a. 20 feet
b. 34 feet
c. 74 feet
d. 85 feet
e. 94 feet
30. Which of the following numerical expressions is an irrational number?
a. √8 × √2 b. 1255 c. (√21)2
d. 2 – √81 e. √169 – 49
__ __1 431. Let s(x) = 3 – 2x2 + 4 and r(x) = 5x2 – 10x .2 3 x Which of the following is equivalent to
6s(x) – 15 r(x)?
a. –11x2 + 9
b. __31 3 x 4 – 3x2 + 9
c. 4x4 – 13x2 + 9
d. 4x4 – 13x2
e. 4x4 + 13x2 – 9
32. Write the following expression as a single deci- mal: (2.7 × 10–3) ÷ (3.6 × 10–3).
33. For which of the following values of a does the trinomial x2 + ax + 24 factor? Select all that
apply.
a. 25
b. −10
c. −11
d. 11
e. 2
34. Patrick has $1,860 saved up from his past fve birthdays. He wants to allot himself $75 per
week for social activities and $40 per week for
gas and food, and wants to keep $400 in the
account to avoid monthly maintenance fees.
Which of the following inequalities can be used
to determine x as the number of weeks he can
continue to withdraw from the account?
a. 115x + 1,860 ≥ 400
b. 115 + 1,860x ≥ 400
c. 75x + 1,860 ≤ 400
d. –115x + 1,860 ≥ 400
e. 1,860 ≤ 400 + 115x
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Use the following table to answer questions 35 and 36. Use the following bar graph to answer questions 37
and 38. SNOWMOBILE RENTAL RATES
College Enrollment by ClassHOURS OVER 1 RATE 350
1 $17 300
2 $24
Chem Physics Econ PoliSci Psych Introductory Courses
3 $31
4 $38
250
En ro
llm en
t
200
35. It costs $250 to rent a snowmobile for the frst hour. The chart shows the rates for additional
hours. What would be the total cost for Tom
and Mary if Tom rented a snowmobile for
4 hours, and Mary rented one for 3 hours?
a. $281
b. $288
c. $560
d. $569
e. $622
36. Letting r = rate, and x = number of hours, which equation best represents the data in the
chart?
a. r = 7x + 10
b. r = 10 + 7
c. r = 5x + 12
d. r = 16x + 1
e. r = 5x + 10
150
100
50
0
37. According to the chart, what was the approxi- mate total enrollment for the classes shown?
a. 900
b. 1,000
c. 1,025
d. 1,050
e. 1,100
38. What is the approximate proportion of stu- dents who took PoliSci?
1 a. 2
b. 14 1 c. 3
d. 2 3 3 e. 4
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39. The formula for the surface area of a right cir- cular cylinder (including the areas of the two
bases) is given by SA = 2pr2 + 2prh, where r is the radius of the base and h is the height of the
cylinder. If the height equals 3 times the radius
and the surface area is 200p square feet, which of the following is the radius?
a. 5 feet
b. √50 feet c. 25 feet
d. 15 feet
e. 5p feet
40. Let y = f(x) be a given function and suppose the point (2,–3) lies on its graph. Consider
the translation of this function given by
g(x) = f(x + 4) – 1. To what point would the
given point correspond on the graph of g(x)?
41. Jackie’s bank balances were $20 on Monday, $0 on Tuesday, $45 on Wednesday, and $25 on
Thursday. What was Jackie’s mean balance for
the week?
a. $20.00
b. $22.50
c. $25.00
d. $25.50
e. $30.00
Use the dot plot to answer questions 42 through 44.
Number of Pencils Each Student Has X
X X X
X X X X X X
X X X X X X X X
1 2 3 4 5 6 7 8 9 10 KEY: X = 1 Student
42. How many students are surveyed on this dot plot?
a. 9
b. 10
c. 18
d. 38
e. 40
43. What is the approximate average number of pencils owned by the students surveyed?
a. 5.6
b. 4.5
c. 10
d. 6.6
c. 10.2
44. What is the mode of the data indicated by the dot plot?
a. 2
b. 5
c. 6
d. 9
e. 10
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45. Neil digitally records birthday parties and charges $120 for the recording. His weekly
overhead expenses amount to $390, and he
spends $30 on supplies for each recording.
How many birthday parties must Neil record
each week before he breaks even?
a. 3
b. 4
c. 5
d. 10
e. 50
46. Jan and her sister entered a raffe at the football game. Jan put her name on 3 tickets, and her
sister put her name on 5 tickets. If there are 100
total tickets and only one winner, what are the
chances that Jan or her sister will win the
raffe?
a. 5.0
b. 0.50
c. 0.005
d. 0.8
e. 0.08
47. Which of the following statements is/are true? Select all that apply.
a. All rectangles are rhombi.
b. There is a rectangle that is not a
parallelogram.
c. Some rhombi are not squares.
d. A parallelogram is a square.
e. All squares are rectangles.
Use the chart to answer question 48.
x y
2 4
4 7 6 10
8 13
48. Which of the following equations best describes the relationship shown in the chart?
a. 2x = y
b. y = x + 3
c. 2x + 3 = y 3x + 2d. 2 = y 2x + 3 e. = y2
49. The ages of the starting lineup for the New York Yankees are as follows:
26, 29, 35, 29, 22, 31, 35, 21, 27
What is the median age of the Yankees’ starting
lineup?
a. 21
b. 35
c. 14
d. 28.5
e. 29
50. Ellen’s square kitchen has a perimeter of 48 feet. What is the area of the kitchen?
a. 12 square feet
b. 12 feet
c. 24 square feet
d. 560 square feet
e. 144 square feet
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51. Jessica has 3 skirts, 4 shirts, and 2 hats. How 54. Consider the two triangles DABC and DA'B'C': many different combinations of skirts, shirts,
and hats can she wear?
a. 7
b. 14
c. 24
d. 28
e. 32 3
52. If p and q are prime numbers, what is the least common multiple of 18p2, 30pq2, 42pq3?
Aa. 6p 2 3b. 6p q
c. 2p 2 3d. 630p q
4 5e. 22,680p q
53. Tom needs to buy paint so that he can paint the emblem on the basketball court. The circu-
lar emblem has a diameter of 12 feet. If paint
cans come in quarts, and it takes 1 quart to
paint 50 square feet, how many quarts of paint
will Tom have to buy? Use 3.14 for p. a. 1
b. 2
c. 3
d. 4
e. 5
y B'(8,9)
B
C 5
Assume that DABC can be transformed into DA'B'C' by frst translating DABC and then applying an appropriate dilation centered at
the origin. Which of the following translation
rule–dilation combinations will result in this
transformation?
a. Translate using the rule (x,y) → (x – 8,y – 3) and then perform a dilation centered at the
origin with a scale factor of 2.
b. Translate using the rule (x,y) → (x + 8,y – 3) and then perform a dilation centered at the
__1 origin with a scale factor of 2 .
c. Translate using the rule (x,y) → (x + 8,y + 3) and then perform a dilation centered at the
__1 origin with a scale factor of 2 .
d. Translate using the rule (x,y) → (x + 8,y + 3) and then perform a dilation centered at the
origin with a scale factor of 3.
e. Translate using the rule (x,y) → (x + 8,y + 3) and then perform a dilation centered at the
origin with a scale factor of 2.
A'(8,3) C'(18,3)
x
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__
_________ _________
______
__
__
__
55. Six students are running for class president. John has a 18 chance of winning and is half as
likely to win as Mike. Kelly has the same chance
of winning as Mike. Julie, Kelvin, and Roger all
have the same chance of winning. What chance
does Kelvin have of winning? 1
a. 2 1b. 3 1 c. 4
d. 3 8 1 e. 8
56. Jason was asked to choose a marble from a bag. If he chose a red marble, he would win a prize.
The bag contained 20 blue marbles, 20 black
marbles, 20 green marbles, 18 yellow marbles,
and 2 red marbles. Which of the following dec-
imals shows Jason’s chances of choosing a red
marble?
a. 0.025
b. 0.25
c. 0.08
d. 0.8
e. 2.5
Praxis® Core Academic Skills for Educators:
Mathematics Practice Test 2 Answers and Explanations
1. a. This is a conversion problem. There are 36 inches in 1 yard. Converting from a smaller
unit to a larger unit requires division: 432 ÷
36 = 12. You can also check division with
multiplication: 36 × 12 = 432. 72. 20. The frst step is to rewrite all fractions
with a common denominator. The lowest
common denominator for 1 and 5 2 is 20:4
1 5 5 2 4 8× = , and × = 20. These frac-4 5 20 5 4 tions represent portions of the fence that
5 8 13have been painted, so + = of20 20 20 the fence has been painted. Therefore,
13 20 13 71 − = − = 20 of the fence is left20 20 20 for Dillon to paint.
3. b. To compute a percent of a number, multiply by the decimal of the percent. The decimal
for 25% is 0.25: 0.25 × $190 = $47.50.
4. 175 minutes. Let x represent the number of minutes needed to pack 28 boxes of fragile
dishware. Set up the following proportion: 4 boxes 28 boxes = 25 minutes x minutes
Cross multiply and solve for x:
4x = (25)(28)
x = 25(7)
x = 175
So, Tanya can pack 28 boxes in 175 minutes.
5. b. We can identify two points on the graph: (–4,1) and (3,–2). The slope of the line con-
1 – (–2) __3taining these two points is m = = – 7 .–4 – 3 Using point-slope form with this slope and
the point (3,–2) yields y – (–2) = – 3 7 Now, we simplify as follows:
y – (–2) = – 3 (x – 3)7 y + 2 = – 3 (x – 3)7 7y + 14 = –3(x – 3)
7y + 14 = –3x + 9
3x + 7y = –5
(x – 3).
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6. c. For this problem, you must frst determine how many people will be going on the trip
by adding: 34 + 6 + 11 = 51. Since these peo-
ple will be splitting into groups of 9, you
should divide: 51 total people divided by 9
in each van equals 5 remainder 6. However,
the remainder here represents people, so
there will be 5 vans with 9 people, and one
van with 6 people, for a total of 6 vans.
7. a. This is an example of the distributive prop- erty of multiplication over addition. Factor
out 6 to get the equivalent expression
6(7 + 9).
8. b. 75 out of 100 is 75%. To compute 75% of 25,000, multiply 25,000 × 0.75 = 18,750.
9. d. Gather like variables in the product and add their exponents:
5 6 2xy · x yz = (x · x5) · (y · y) · z = x y z
10. b. His rental fee will include the $200 plus $0.55 × the number of miles he drives over
1,000 miles. If x = total miles, then x – 1,000
= the total miles driven over 1,000.
Therefore, the expression becomes 200 +
0.55(x – 1,000).
11. 60. Substitute the values of a, b, and c into the expression and use the order of opera-
tions to simplify:
2ac – abc = 2(–5)(–3) – (–5)(–2)(–3)
= 30 – (–30)
= 30 + 30
= 60
12. e. Substitute x = 6 and follow the order of operations (PEMDAS). Multiply inside the
parentheses frst, and then subtract: y = 7 +
3(2 × 6 – 2); y = 7 + 3(12 – 2); y = 7 + 3(10).
Then, multiply: y = 7 + 3(10); y = 7 + 30.
Finally, add: y = 37.
13. d. Since there are no values given, you must approximate the percentages based on the
size of the areas for car and bicycle. It could
not be 50%, 55%, or 80% because that
would be half the chart or bigger. 25% is 1 4 of the chart, but this only describes the per-
centage who take a car to work. 40% is the
best choice because it accurately describes
how the percentage of people who take a car
or bicycle to work is slightly less than half of
the graph.
14. c and e. To solve this problem, convert each fraction to a decimal. You are looking for
fractions with decimals between 18 = 0.125
and 1 = 0.2. Of the fractions given, only 1 ≈5 7 0.1429 and 3 = 0.1875 fall between these16 two values.
15. c. Jessica’s overall grade for the semester will be the average of the grades on her tests. To fnd
the average of a group of numbers, frst add
the numbers; then divide by the number of + 85 + 86 + 90 + 100 430 numbers: 70 = = 86.5 5
16. c. The new route from A to B represents the hypotenuse of the right triangle. You can
fnd the hypotenuse using the Pythagorean
theorem, a2 + b2 = c2: 122 + 52 = c2; 144 + 25
= 169. The square root of 169 = 13. Subtract
the length of the new route from the length
of his old route: 17 – 13 = 4 miles.
17. e. Using the 4 fewer miles that Paul drives each day using this new route, multiply that value
by 5 to get 20 fewer miles driven each week.
Over a period of 3 weeks, this would be
20 × 3 = 60 fewer miles driven.
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18. d. The method of elimination is the most eff- cient one to use here. Add the two equations
to cancel the y terms:
x – 4y = 18
+ (x + 4y = 26)
2x = 44
x = 22
Now, substitute x = 22 into the frst equation
x – 4y = 18 to obtain 22 – 4y = 18. Solving
for y then yields y = 1. So, the solution of the
system is x = 22, y = 1.
19. 12. For this problem, use an algebraic equa- tion. Let James be J, and since Aidan sells 3
times more than James, Aidan will be 3J. The
equation becomes 3J + J = 48. Combine like
terms:
4J = 48. Finally, divide each side by 4: J = 12.
James sells 12 magazines.
20. e. To correctly solve this problem, it is impor- tant to frst change the feet to inches.
Remember, there are 12 inches in 1 foot: 12
feet is equal to 144 inches, and 6 feet is equal
to 72 inches. To fnd the volume of this
rectangular area, multiply length times
width times height: 144 × 72 × 3 =
31,104 cubic inches.
21. c. On this dot plot, one X is equal to one stu- dent who earned a particular score on the
quiz. Looking only at the X’s for 8, 9, and 10,
add to see that there are 11 students
represented.
22. e. Add all the X’s on the dot plot to fnd the total number of students who took the quiz.
There are 27 X’s, so this is the denominator
of the fraction. The question asks for the
fraction of students who scored a 7 or 8, so
add the X’s for those two scores. There are
14 students who scored either a 7 or 8, so the 14
fraction is 27 .
23. b. To solve this problem, set up a proportion 15 xand cross multiply: = 8 . Cross multiply:3
15 × 8 = 3x; 120 = 3x. Finally, divide both
sides by 3: x = 40 yards.
24. c. This problem requires you to convert a smaller unit to a larger unit. To go from a
smaller unit to a larger unit, you must
divide. Divide 1,560 hours by 24 hours per
day to get 65 days.
25. e. Since the garden is a square, each of its four sides has the same length. Since the perime-
ter is 320 feet, each side has length 80 feet.
The diagonal of the garden can be viewed as
the hypotenuse h of a right triangle whose
legs both have length 80 feet. Using the
Pythagorean theorem yields 802 + 802 = h2,
which simplifes to h2 = 12,800. So,
h = √12,800 ≈ 113 feet. 26. e. Because there are points labeled on the
graph, you can use them to fnd the slope of 160 − 110 50 1the line: m = = = 2. This300 − 200 100
eliminates all but two of the equations given.
To determine which of the two equations is
correct, plug an x-value into the equations.
The one that produces the correct y-value is 1the correct equation: y = 2(200) + 10;
y = 100 + 10; y = 110. The point (200,100) 1is labeled on the line, so y = 2 x + 10 is the
correct equation.
27. d. To fnd the y-value, plug x = 700 into the 1 equation of the line: y = 2(700) + 10;
y = 350 + 10; y = 360.
28. e. First, calculate the minimum number of ten- nis balls that could be produced in an hour
by 15 machines: 90 balls per minute × 60
minutes in an hour × 15 machines = 81,000.
Do the same for the maximum number:
120 × 60 × 15 = 108,000. Of the given possi-
ble numbers of balls produced, only 90,000
falls within this range.
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29. c. To determine how much fencing is needed to go around the entire garden, you need to
calculate the perimeter. The perimeter of a
rectangle is found by adding twice the length
and twice the width. So, you must frst fnd
the length of the garden. You are given the
area and width of the garden, and remember
that the area of a rectangle is found by mul-
tiplying length times width. Find the length
by dividing: 330 ÷ 15 = 22 feet. Now, the
perimeter of the garden is 2(22) + 2(15) =
44 + 30 = 74 feet.
30. e. Observe that √169 – 49 = √120. Since 120 is not the square of a rational number, this
quantity is irrational.
31. c. To compute 6s(x) – 15 r(x), frst distribute 6 through each term of s(x) and distribute the
–__5 1 through each term of r(x), and then add
like terms: __ __ __1 __6s(x) – 15 r(x) = 6(
3 – 2x2 + 4) – 1 (5x2 – 10x4)2 3 x 5 = (9 – 12x2 + 2x4) – (x2 – 2x4)
= 9 – 12x2 + 2x4 – x2 + 2x4
= 4x4 – 13x2 + 9
32. 0.75. Simplify each of the two quantities enclosed within parentheses. Then, divide
resulting decimals, as follows:
(2.7 × 10–3) ÷ (3.6 × 10–3) = 0.0027 ÷ 0.0036 = 27 ÷ 36 = 0.75
33. a, b, c, and d. For a, the trinomial would fac- tor as (x + 1)(x +24). For b, the trinomial
would factor as (x – 4)(x – 6). For c, the tri-
nomial would factor as (x – 3)(x – 8). For d,
the trinomial would factor as (x + 3)(x + 8).
34. d. Let x represent the number of weeks he can make withdrawls from the account. Since he
withdraws $115 per week (for social activi-
ties, gas, and food), the total he withdraws in
x weeks is $115x. So, after x weeks, there is
1,860 – 115x dollars left in the account. This
amount must be greater than or equal to
400 dollars in order to avoid fees. So, the
inequality used to model this situation is
–115x + 1,860 ≥ 400.
35. d. Use the table to determine the cost of each person’s rental, and then add the values.
Tom’s frst hour was $250, and then his 4
additional hours were $38 more: $250 + $38
= $288. Mary’s frst hour was also $250, and
then her 3 additional hours were $31 more:
$250 + $31 = $281. Therefore, the total cost
is $288 + $281 = $569.
36. a. Use trial and error to fnd which equation best represents the data in the chart. By
plugging the hours in the chart in for x, you
see that r = 7x + 10 is the equation that
shows all the correct values for r.
37. e. The question asks for the approximate total enrollment, so you must round the numbers
represented by the bars on the graph. By
rounding, represent Chem as 150, Physics as
150, Econ as 325, PoliSci as 250, and Psych as
225: 150 + 150 + 325 + 250 + 225 = 1,100.
38. b. There are approximately 1,100 total students enrolled, and 250 of them are enrolled in
PoliSci. This represented as a fraction would 250
be 1,100. Because the question asks for the
approximate fraction, round 1,100 to 1,000 250 1and then reduce: = 4 .1, 000
39. a. Let r represent the radius of the base. Then, the height h = 3r. Using the surface area for-
mula for a right circular cylinder yields the
following equation that we must solve for r:
200p = 2pr2 + 2pr(3r) 200p = 2pr2 + 6pr
2200p = 8pr 225 = r
5 = r
So, the radius is 5 feet.
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40. (–2,–4). You need to translate the given point 4 units to the left and 1 unit down. In such case,
(2,–3) would become (2 – 4, –3 – 1) = (–2,–4).
41. b. The mean is the same as the average. To fnd the average, add all the values and divide
by the total number of values: $20 + $0 + $45 + $25 $90 = = $22.50.4 4
42. c. On this particular dot plot, one X represents one student. There are a total of 18 X’s on
the line plot, so there were 18 students
surveyed.
43. a. To fnd the average, add all the values and divide by the total number of values. How-
ever, in this situation, the values are the
numbers of pencils, not the numbers of stu-
dents. You must add the amount of each
number indicated by the X’s, not just the
number of X’s. For example, 4 students
had 9 pencils, so this value in the average
would be 4 × 9. Do this for each column
where there are X’s, and since there are
18 students, divide this all by 18: (1 × + × + × + × + × + × + × + × + × +(2 1) (3 2) (4 3) (5 3) (6 2) (7 0) (8 2) (9 4) ×1) (10 0)
18
+ + + + + + + + + 1001 2 6 12 15 12 0 16 36 0 = = = 5.555555…18 18 ≈ 5.6.
44. d. The mode is the number that occurs most often. In this case, that would be 9 pencils,
which occurs 4 times.
45. c. Neil reaches the break-even point when his sales for a week equal his costs for the week.
We know that Neil’s weekly overhead
expenses are fxed at $390. He also spends
$30 on materials for each recording. He then
charges $120 for the recording. Use the fol-
lowing equation to fnd this point:
$390 + $30x = $120(x)
Solve for x:
390 + 30x = 120x
390 = 90x
x = 4.3
So, Neil must record 5 parties to break even
(4 would not be enough).
46. e. Since either Jan or her sister is being picked, we must add 3 and 5. There are 100 total
tickets, so the chances that Jan or her sister 8 will win are 100. Since the probabilities are
8 written in decimal form, change 100 to the
decimal 0.08.
47. c and e. For c, any quadrilateral whose opposite sides are parallel and for which all four sides
have the same length is a rhombus. If there is
no right angle, then it cannot be a square. For e,
a rectangle must have opposite sides parallel
and contain a right angle. Squares satisfy these
conditions, as well as having all four sides
congruent.
48. d. The easiest way to solve problems like these is to use substitution and the process of
elimination. By substituting each x-value
into the equations, you fnd that the only
equation that works for every value of x is 3x + 2 y = .2
49. e. The median is the middle number of a set of data when arranged in increasing order. The
given ages in increasing order are 21, 22, 26,
27, 29, 29, 31, 35, 35. The number 29 is in
the middle, so it is the median age for the
Yankees’ starting lineup.
50. e. The kitchen is a square, so its four sides are of equal length. You can fnd the length of
the sides by dividing the perimeter by 4:
48 ÷ 4 = 12 feet. Area is then calculated
by multiplying length × width: 12 × 12 =
144 square feet.
51. c. Each skirt, shirt, and hat can be paired together in any combination, and order
doesn’t matter. This can be solved using the
counting principle and multiplication:
4 × 3 × 2 = 24 combinations.
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52. d. The smallest whole number into which all of 18, 30, and 42 divides evenly is 630. Also, the
2smallest power of p into which each of 18p ,
30pq2, 42pq3 divides is p2, and the smallest 3power of q into which each divides is q .
2Hence, the least common multiple of 18p , 2 330pq2, 42pq3 is 630p q .
53. c. The equation for the area of a circle is 2A = pr . The diameter of the circle is given as
12 feet, so the radius is 6 feet: A = p(6)2 = 36p ≈ 113.04 square feet. If each quart of paint will cover 50 square feet, then Tom
needs to buy 3 cans of paint.
54. e. First, observe that in order to move A to A', we must move the point right 8 units and
then up 3 units. This is described by the
translation rule (x,y) → (x + 8,y + 3). Apply- ing this to all points of the triangle DABC moves it to a new location in the plane. Now,
observe that this triangle is smaller than
DA'B'C ', so that the scale factor must be greater than 1. Observe that A'B' is twice the length of AB, and A'C ' is twice the length of AC. So, the scale factor should be 2.
55. e. The chance of someone winning the election is 1. If John has a 18 chance of winning, and if
he is half as likely to win as Mike, that means
that Mike has a 1 chance of winning. Since4 Kelly has the same chance of winning as
Mike, she also has a 1 chance. If you add the4 chances for John, Mike, and Kelly, you get 58,
leaving a 8 3 chance that Julie, Kelvin, or
Roger will win. Since they all have the same
chance, each has a 18 chance to win. There-
fore, Kelvin has a 18 chance of winning.
56. a. First, determine the total number of marbles in the bag by adding the numbers given:
20 + 20 + 20 + 18 + 2 = 80. Since there are
only 2 red marbles, Jason’s chances of choos- 2ing a red marble are 80 . To fnd the decimal,
divide 2 by 80, which is 0.025.
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5 PRAXIS® CORE ACADEMIC SKILLS FOR EDUCATORS: PRACTICE TEST 3
CHAPTER SUMMARY Here is your third set of full-length tests in this book for each Praxis® Core Academic Skills for Educators test: Reading, Writ- ing, and Mathematics. Now that you have taken two full sets of practice exams, take these exams to see how much your score has improved.
This time, as you take these practice tests, you should simulate the actual test-taking experience as closely as you can. Find a quiet place to work where you won’t be disturbed. Follow the time constraints noted at the beginning of each test. After you fnish taking your tests, review the answer explanations. (Each individual test is followed by its
own answer explanations.) See A Note on Scoring on page 375 to fnd information on how to score your test.
Good luck!
To access online PRAXIS Core practice that provides instant scoring and feedback: • Navigate to your LearningExpress platform and make sure you’re logged in. • Search for the following subtests, select one, and then click “Start Test.” • Praxis Core: Reading Practice Test 3 • Praxis Core: Mathematics Practice Test 3 • Praxis Core: Writing Practice Test 3
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Praxis® Core Academic Skills for Educators:
Reading Practice Test 3
Time: 85 Minutes
Directions: Read the following passages and answer
the questions that follow.
Refer to the following passage for questions 1 through 7.
For reasons scientists have yet to fully under-
stand, reasons that might be related to warming
water temperatures or overfshing, jellyfsh
populations are swelling across the planet’s
5 oceans. This gives rise to a number of concerns.
For swimmers and recreational divers, this is a
problem, as jellyfsh are not only a nuisance but
also a potential danger. Unfortunately, jellyfsh
offer almost no nutritional value and serve little
10 function in the seas—meaning that their
unpleasant population growth might be diff-
cult to curtail. However, one animal that can
help address this problem is the ocean sunfsh.
One of the most unusual-looking creatures
15 found in the oceans, the mammoth and oddly
shaped ocean sunfsh is the heaviest bony fsh
ever discovered. This giant fsh averages more
than a ton in weight, and its diet consists
almost entirely of jellyfsh. Because jellyfsh
20 contain so few nutrients, the sunfsh must eat
the jellyfsh in large quantities. Though sunfsh
are a delicacy in some countries, such as Japan,
the world would be better served to adopt the
European Union’s ban on the sale of sunfsh.
1. Which is most similar to the sunfsh, based on the way in which its diet results in a clear bene-
ft to human beings?
a. the spider, which eats mosquitoes and other
insects
b. the tuna, which eats squid and shellfsh
c. the rhinoceros, which eats grass and fruits
d. the grizzly bear, which eats fsh
e. the tick, which eats mammalian blood
2. Which description of a sunfsh best represents a statement of opinion, rather than a statement
of fact?
a. It is the largest bony fsh.
b. It eats primarily jellyfsh.
c. It has an unusual appearance.
d. Its sale is banned in Europe.
e. It is eaten by people.
3. Which best describes how the passage is structured?
a. Two ocean creatures are compared and
contrasted.
b. Events related to a sea creature are provided
in chronological order.
c. A sea creature is described, and then its
attributes are detailed.
d. The dietary constraints of one creature are
listed, and then a solution is given.
e. A distressing trend related to a sea creature is
described, and then a potential solution is
offered.
4. In the context of the passage, the word curtail in line 12 most nearly means
a. reverse.
b. increase.
c. withstand.
d. curb.
e. liberate.
5. Which key word from the passage helps transi- tion the passage from the negative characteris-
tics of jellyfsh to the positive attributes of
ocean sunfsh?
a. unfortunately
b. diffcult
c. however
d. entirely
e. though
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10 mountain’s top at 29,028 feet—the planet’s6. Which statement best describes the author’s position regarding ocean sunfsh?
a. There are creatures larger than the sunfsh in
the ocean.
b. Population change of the sunfsh remains a
mystery to scientists.
c. The sunfsh should expand its diet to other
creatures besides the jellyfsh to better adapt.
d. Protections for sunfsh should be set in place
to help limit the jellyfsh population.
e. The sunfsh fails to serve a valuable or
important purpose in the ocean.
7. Which idea provides the best support for the statement in the last sentence of the passage?
a. Waters are warming throughout the United
States and the remainder of the world.
b. The increase in jellyfsh populations might
be related to warming waters or overfshing.
c. Due to the limited nutritional value of
jellyfsh, sunfsh must eat great quantities of
them.
d. The ocean sunfsh is a large creature and has
been described as having an odd appearance.
e. Japan is one country where jellyfsh are
located.
Refer to the following passage for questions 8 through
10.
Arguably the most famous feature on the most
famous mountain on Earth, the Hillary Step is
a narrow, nearly vertical 40-foot rock wall near
the peak of Mount Everest. Covered in snow
and ice at 28,750 feet, the Hillary Step presents
the last great danger for climbers trying to
reach the summit. Once the Hillary Step has
been conquered, climbers have only a few hun-
dred feet of moderate climbing to reach the
highest point. Named for Sir Edmund Hillary,
one of the two climbers to frst ascend it, the
step now features a fxed rope for modern-day
climbers to use; such an advantage was unavail-
15 able during Hillary’s initial 1953 ascent, making
his achievement all the more venerable.
8. For which reason is the Hillary Step most likely the most famous feature on Mount Everest?
a. The Hillary Step was named after the great
climber Sir Edmund Hillary.
b. The Hillary Step acts as the fnal signifcant
obstacle to the mountain’s summit.
c. The Hillary Step is one of the most diffcult
technical climbs in mountain climbing.
d. The Hillary Step had not been successfully
ascended until 1953.
e. The highest point of the world is located
where the Hillary Step ends.
9. In the passage, the word venerable in line 16 most nearly means
a. hazardous.
b. technical.
c. advantageous.
d. serious.
e. admirable.
10. According to the information in the passage, it can reasonably be concluded that the Hillary
Step
a. is easier to ascend now than it was in 1953.
b. is responsible for countless casualties on the
mountain.
c. requires several hours of climbing to
traverse.
d. is located at the highest point on the planet.
e. has been traversed by a total of two climbers
since the early 1950s.
5
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Refer to the following graph for questions 11 and 12.
This graph provides data regarding average precipita-
tion in the town of Springfeld during the months of
December, January, February, and March.
Average Precipitation in Springfield during Winter Months
In ch
es
7
5.6
4.2
2.8
1.4
0 December January February March
Month Rainfall Snowfall
11. Which conclusion about the precipitation in Springfeld is supported by the information
in the bar graph?
a. The only months of the year when snowfall
occurred were December, January, February,
and March.
b. There was more combined precipitation, in
inches, in February than in March.
c. Each month depicts a decreasing amount of
rainfall, in inches.
d. There was less snowfall, in inches, in
December and January combined than
in February.
e. The only month depicted in which rainfall
exceeded snowfall was December.
12. Based on the information provided in the graph, which of the following statements is
true on average?
a. There is more hail than snow in February.
b. There is more snowfall in January than in
March.
c. There is less sleet than snow during the
month of December.
d. There is slightly higher rainfall in December
than in March.
e. Snowfall and rainfall amounts are equal
during the month of February.
Refer to the following passage for questions 13 through
16.
The success of the immune system in defending
the human body relies on a dynamic regulatory
communications network consisting of mil-
lions and millions of cells. Organized into sets
5 and subsets, these cells pass information back
and forth like clouds of bees swarming around
a hive. The result is a sensitive system of checks
and balances that produces a prompt, appropri-
ate, effective, and self-limiting immune
10 response.
At the heart of the immune system is the
ability to distinguish between self and nonself
molecules. When immune defenders encounter
cells or organisms carrying nonself molecules,
15 the immune troops move quickly to eliminate
the intruders. The body’s immune defenses do
not normally attack its own tissues because of
the presence of self-markers, which are unique
to the DNA and indicate that the cells belong to
20 the host body. Rather, immune cells and other
body cells coexist peaceably in a state known as
self-tolerance.
When a normally functioning immune
system attacks a nonself molecule, the system
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25 can remember the specifcs of the foreign body.
Upon subsequent encounters with the same
species of molecules, the immune system reacts
accordingly. With the possible exception of
antibodies passed during lactation, this so-
30 called immune system memory is not inherited:
An immune system must learn from experience
with the many millions of distinctive nonself
molecules in the sea of microbes we live in.
13. When a person gets the chicken pox virus for the frst time, the person’s immune system
will most likely
a. prevent the person’s offspring from future
infection with the chicken pox virus.
b. distinguish between its body cells and the
cells of the chicken pox virus.
c. remember previous experiences with the
chicken pox virus.
d. attack its own tissues.
e. recall the specifcs of the foreign body from
ancestors’ experiences.
14. Which statement represents the main idea rather than a supporting detail from the
passage?
a. The effectiveness of the human body’s
immune system lies in its complex
organizational structure.
b. The basic function of the immune system is
to distinguish between self and nonself.
c. Immune cells and body cells can coexist due
to self-tolerance.
d. The human body is an extraordinary and
complicated mechanism.
e. The human body presents an opportune
habitat for microbes.
15. Based on the information in the passage, why might tissue transplanted from father to
daughter have a greater risk of being detected
as foreign than tissue transplanted between
twins who share the same DNA?
a. The twins’ tissue would carry the same self-
markers and therefore would be less likely to
be rejected.
b. The age of the twins’ tissue would be the
same and, therefore, less likely to be rejected.
c. The daughter’s immune system would reject
tissue from a male donor.
d. The twins’ immune systems would
remember the same encounters with
childhood illnesses.
e. The immune systems of twins contain more
self-markers than the immune systems of
nontwins.
16. As it appears in the passage, the word sensitive in line 7 most nearly means
a. able to react.
b. delicate.
c. indifferent.
d. nervous.
e. sensible.
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Refer to the following passage for question 17.
It might be diffcult to envision with today’s
technologies and comforts, but the early Euro-
pean expeditions to the Americas were incredi-
bly arduous. The journeys took several months,
during which time the travelers faced extreme
isolation, limited supplies due to space con-
straints, and great uncertainty about what to
expect upon arrival.
17. Which journey would be most similar to the early European expeditions to the Americas?
a. luxury cruise across the Atlantic
b. solo skydive
c. robotic probe sent to Venus
d. jet fight to Asia
e. trip by astronauts to another planet
Refer to the following passage for questions 18 through
22.
One of Benjamin Franklin’s most useful and
important inventions was a stove called, appro-
priately, the Franklin stove. This invention
improved the lives of countless homeowners in
5 the eighteenth century and beyond. Compared
to the stoves that were used at the time of his
invention, Franklin’s stove allowed a fre to be
maintained inside a home in a much less dan-
gerous way. Franklin’s stove could burn less
10 wood and generate more heat than its predeces-
sors. This feature saved its users considerable
amounts of money that would have been
needed to buy wood.
As its inventor, Benjamin Franklin was
15 offered the right to patent his stove. A patent
would have meant that only Franklin could
make and sell the useful stoves, resulting in his
becoming one of the richest people in the
country. However, Franklin declined the oppor-
20 tunity for the patent, believing instead that the
stove’s design should be available to anyone
who wanted to use it. In his autobiography,
Franklin wrote, “As we enjoy great advantages
from the inventions of others, we should be
25 glad of an opportunity to serve others by any
invention of ours; and this we should do
freely and generously.”
18. The primary purpose of the frst paragraph of the passage is to
a. discuss a particularly useful invention by
Franklin.
b. provide details for materials needed to build
a Franklin stove.
c. explain the scientifc process through which
a Franklin stove works.
d. tell the ways in which Franklin made money
from his stoves.
e. compare different types of stoves.
19. Which best describes the function of the word however in the second paragraph?
a. to compare important physical descriptions
of a critical development
b. to compare several benefts of a lifesaving
invention
c. to contrast the advantages of an invention
with its drawbacks
d. to compare the usefulness of an invention
with its extreme costs
e. to contrast an inventor’s altruistic motives
with the potential for great wealth
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20. Considering the context of the passage and the sentence in which it appears, the word right in
line 15 most likely means
a. correct.
b. good health.
c. turn.
d. legal permission.
e. exact.
21. Based on information provided in the passage, it can reasonably be concluded that Benjamin
Franklin was
a. afraid of fnancial setbacks due to starting a
fre inside his home.
b. interested primarily in inventing items that
would be good investments.
c. about to become one of the wealthiest
people in the country.
d. less concerned with acquiring money than
with helping his fellow humans.
e. limited to stoves as an invention because
they were inexpensive.
22. Based on information in the passage, it can reasonably be inferred that the Franklin stove
was
a. expensive.
b. dangerous.
c. effcient.
d. small.
e. stylish.
Refer to the following passage for questions 23 through
25.
The U.S. government has spent more than $10
billion each year since 1989 on the National
Aeronautics and Space Administration (NASA).
Furthermore, the government agency’s budget
5 is expected to increase every year, with its
annual spending estimated to surpass $20 bil-
lion for the frst time during the mid-2010s.
A hefty fraction of this budget is spent on
space operations, including the construction
10 and maintenance of the International Space
Station (ISS). At a time when the country is fac-
ing domestic crises with unemployment,
energy, and healthcare, it can be diffcult to jus-
tify the exorbitant costs of space exploration.
15 Nevertheless, the indirect benefts of space
exploration are impossible to ignore; the valu-
able research and development associated with
NASA’s space program have resulted in an
incredibly wide variety of important everyday
20 technological advancements, ranging from
water flters to improved highway safety.
23. How is the key word nevertheless used in the last sentence of the passage?
a. to accentuate the fnancial concerns of space
exploration
b. to list additional domestic concerns that
should be granted a higher priority
c. to suggest that too great a portion of NASA’s
budget is spent on space operations
d. to show that the fnancial expenditures of
the agency have been changing
e. to provide a contrast with the monetary
costs of a government agency
24. As it is used in the context of the sentence, which word best describes the meaning of
exorbitant in line 14?
a. excessive
b. external
c. extra
d. excellent
e. exciting
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25. Which sentence best describes the author’s atti- 25 of water pollution; some species are facing tude toward the fnancial costs of the National
Aeronautics and Space Administration?
a. The costs must be curtailed to allow for
increased funding for domestic crises.
b. The costs are very high, but the rewards
make the agency a worthwhile expense.
c. The costs should decrease at a time when the
government operates with a fnancial defcit.
d. The increasing costs of running the
government agency are simply indefensible.
e. The high costs should be validated during
periods of planetary exploration, such as a
trip to Mars.
Refer to the following passage for questions 26 through
32.
Sharks have layers of sharp teeth in their jaws
that allow them to cut through a fsh’s bones or
a shellfsh’s hard shell. The shark will eat almost
all creatures found in the ocean––from crabs
5 and turtles to seals and penguins. If an animal
is too big, a shark will simply tear it into smaller
chunks before eating it. This ancient fsh has
been patrolling Earth’s waters for longer than
400 million years and can now be found in all
10 the planet’s seas, from the surface to a depth of
below a mile. Species of sharks can be massive,
with a length of up to 46 feet, and some can be
swift, with bursts of speed of up to 30 miles per
hour.
15 Despite all the impressive physical charac-
teristics of the shark that would make it seem
especially treacherous to humans, an average of
fewer than fve people in the world are killed
each year by sharks—fewer than are killed by
20 wasps or lightning. By contrast, an estimated
100 million sharks are killed each year as a
result of fshing. In addition to the negative
results of overfshing, sharks suffer from habitat
loss due to coastal development and the impact
severe population decline as a result. Many peo-
ple share a groundless fear of shark attacks;
perhaps they should instead be fearful of losing
one of the planet’s most remarkable creatures
30 to extinction.
26. Which statement, if it were true, would most signifcantly strengthen the author’s argument?
a. The smallest shark in the world reaches a
length of only about 8 inches when fully
grown.
b. Of the nearly 400 species of sharks in the
world, only four have been known to be
dangerous to humans.
c. Swimming in a group is safer than
swimming alone because sharks are less
likely to attack an individual in a group.
d. Other than humans, sharks have very few
natural predators.
e. The bull shark, known for its aggressive and
often unpredictable nature, can often be
found in shallow waters near beaches.
27. In the context of the passage, the word ground- less in line 27 can be replaced by which word to
incur the least alteration in meaning?
a. sound
b. aquatic
c. terrifying
d. justifable
e. unwarranted
28. The author’s attitude toward sharks could best be described as
a. reverential.
b. frightened.
c. ambivalent.
d. quarrelsome.
e. cautionary.
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29. Which sentence best describes the organization of the two paragraphs of the passage?
a. A detailed description of the creature is
provided, and then common perceptions of
it are supported.
b. The evolution and history of an animal are
offered, and then its present-day status is
detailed.
c. The intimidating physical characteristics are
listed, and then a defense of the creature is
given.
d. A series of harmless attributes is discussed,
and then a list of hazardous characteristics
is described.
e. The distinguishing features of an organism
are provided, and then those features are
described in further detail.
30. Which creature shares a relationship with humans that is similar to the relationship
between sharks and humans?
a. ladybugs, because they are often purchased
to rid a garden of pests
b. frogs, because, despite their attractive
appearance, most species are toxic
c. caterpillars, because they go through a series
of life stages during complete
metamorphosis
d. deer, because they generally have a fear of
humans and frequently will run when
approached
e. snakes, because many people fear them,
despite the fact that very few types of
snakes are venomous
31. Which detail from the passage would best sup- port the idea that Congress should pass a bill to
protect sharks?
a. More people are killed each year by wasps or
lightning than by shark attacks.
b. The shark will eat almost every creature
found in the ocean.
c. The shark can be found in all the planet’s
seas.
d. Some shark species are facing severe
population loss.
e. Many people share a groundless fear of
shark attacks.
32. Which sentence from the passage contains an opinion from the author?
a. Sharks have layers of sharp teeth in their
jaws that allow them to cut through a fsh’s
bones or a shellfsh’s hard shell.
b. The shark will eat almost all creatures found
in the ocean—from crabs and turtles to seals
and penguins.
c. This ancient fsh has been patrolling Earth’s
waters for longer than 400 million years and
can now be found in all the planet’s seas,
from the surface to a depth of below a mile.
d. By contrast, an estimated 100 million sharks
are killed each year as a result of fshing.
e. Many people share a groundless fear of
shark attacks; perhaps they should instead
be fearful of losing one of the planet’s most
remarkable creatures to extinction.
Refer to the following passage for questions 33 and 34.
Jane Austen died in 1817, leaving behind six
novels that have since become English classics.
Most Austen biographers accept the image of
Jane Austen as a sheltered spinster who knew
5 little of life beyond the drawing rooms of her
Hampshire village. They accept the claim of
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Austen’s brother, Henry: “My dear sister’s life
was not a life of events.”
Biographer Claire Tomalin takes this view
10 to task. She shows that Jane’s short life was
indeed tumultuous. Not only did Austen expe-
rience romantic love (briefy, with an Irish-
man), but her many visits to London and her
Refer to the following graph for questions 35 and 36.
The local zoo provided this graph to offer data
regarding the animals known as “big cats.”
Number of Big Cats at Local Zoo 10
8 Male
6 Female
Lion Tiger Leopard Cheetah
relationships with her brothers (who served in
15 the Napoleonic wars) widened her knowledge Nu m
be r
4
beyond her rural county, and even beyond Eng- 2 land. Tomalin also argues that Austen’s unmar- 0 ried status benefted her ability to focus on her
writing. I believe that Jane herself may have
20 viewed it that way. Although her family 35. Based on the information in the chart, which destroyed most of her letters, one relative
recalled that “some of her [Jane’s] letters, tri-
umphing over married women of her acquain-
tance, and rejoicing in her freedom, were most
25 amusing.”
33. In order to evaluate the validity of the author’s claim that Austen’s marital status helped her
writing, it would be helpful to know which of
the following?
a. why the author mentions the biographer
Claire Tomalin
b. how single women were regarded in Austen’s
time period
c. whether marriage would actually prevent a
woman from writing during Austen’s era
d. the reliability of the source of the quotation
at the end of the passage
e. more details about Austen’s tumultuous life
34. What word best describes the tone of the passage?
a. somber
b. critical
c. apathetic
d. appreciative
e. playful
statement can accurately be made?
a. Lions are the most popular big cats at the
local zoo.
b. The zoo has an equal number of female
cheetahs and female lions.
c. Tigers are more diffcult than other animals
to contain in captivity.
d. The zoo has more male leopards than female
leopards.
e. The cheetah is the fastest animal on the
planet.
36. Based on the graph, it is clear that a. lions are the largest of the cats.
b. only lions and tigers are considered big cats.
c. not all zoos identify lions, tigers, and
leopards as big cats.
d. the local zoo identifes lions, tigers, leopards,
and cheetahs as big cats.
e. the only animals considered big cats are
lions, tigers, leopards, and cheetahs.
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5
10
15
20
25
30
Refer to the following passage for questions 37 through
40.
Experts generally assert that Guiana, located
north of the Pará river district, and Brazil,
located south of the Pará river district, form
two distinct provinces in terms of animal and
vegetation species. This is due to the fact that
Guiana and Brazil each support a large number
of ecologically distinct habitats. Many species
are indigenous to each region, meaning that
these species originated in the region naturally.
As a result, experts consider Guiana and Brazil
to be centers of distribution in the dissemina-
tion of their indigenous species across tropical
America.
The Pará river district is located midway
between Guiana and Brazil. Guiana and Brazil
each have a nucleus of tableland––a broad, ele-
vated area. The Pará river district, the valley
between them, forms an expanse of low-lying
land. Due to the geography of the area, it is
necessary to examine whether the river valley
received its population of animal and vegeta-
tion species from Guiana and Brazil or it has a
suffcient number of endemic species, meaning
that, like Guiana and Brazil, it is a center of dis-
tribution of species rather than merely a recipi-
ent of these species. To make this determina-
tion, it is necessary to closely compare the
species found in the river valley with the species
in the other regions. Based on the
comparisons, it is necessary to determine
whether species are identical, only slightly
modifed, or quite specifc to the river valley.
37. Which sentence best summarizes the main point of the passage?
a. The animals and vegetation of the Pará river
district are distinct from those of Guiana
and Brazil.
b. The Pará river district supports a substantial
quantity of ecologically distinct habitats.
c. Ecological considerations override most
other considerations with respect to the Pará
river district.
d. It has yet to be determined whether the Pará
river district is an ecologically distinct area.
e. The government of the Pará river district has
historically failed to support biological
expeditions.
38. Based on passage details, Guiana and Brazil form two distinct provinces due to the
a. distribution center.
b. nucleus of tableland.
c. valleys and expanses.
d. recipients and comparisons.
e. animal and vegetation species.
39. The location of the Pará river valley is impor- tant to information in the passage, as this river
valley is located
a. north of Guiana and Brazil.
b. between Guiana and Brazil.
c. south of Guiana and Brazil.
d. east of Guiana and Brazil.
e. far from Guiana and Brazil.
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40. Based on statements in the passage, which of the following actions would the author most
likely support?
a. additional research regarding species in the
Pará river valley and in nearby areas
b. relocation of endemic species from Guiana
and Brazil to the Pará river valley
c. blocking comparison of species found in
Guiana and Brazil
d. removal of indigenous species from Guiana
and Brazil
e. introduction of new species to the Pará river
valley
Refer to the following passage for questions 41 through
43.
One of the most unusual creatures on Earth,
the sloth of Central and South America is
famous for its sluggish speed. In fact, its name
is actually a form of a word frequently used to
5 describe it: “slow.” However, don’t mistake the
sloth’s lack of speed for simple laziness. The
creature’s languid motion developed out of a
necessity to avoid predators. For example, by
moving so slowly in the trees they call home,
10 sloths have adapted a self-defense against harpy
eagles that might be attracted to obvious move-
ments. As seen from above or below a tree, a
sloth can easily be mistaken for vegetation. In
fact, its fur is specialized to grow algae, adding
15 to the creature’s camoufage. Combined with its
renowned slow pace, the sloth appears much
more like hanging foliage than an appetizing
snack.
41. Based on information in the passage, which conclusion can reasonably be drawn?
a. The sloth is the slowest creature on Earth.
b. The sloth’s fur is dangerous to other animals.
c. The sloth refuses to leave the protection of
the trees.
d. Deforestation of the Americas is
endangering the sloth.
e. Sloths fnd unusual ways to protect
themselves from other animals.
42. Based on the content of the passage, the author would most likely agree with which of the fol-
lowing statements?
a. Algae is important to the sloth’s diet.
b. Many animals are similar to the sloth.
c. There is a great deal to be learned from
observing sloths.
d. Harpy eagles should be eliminated from the
sloth’s environment.
e. Sloths’ trees should be groomed by humans
to provide a safer habitat.
43. Which statement is supported by the discus- sion of the sloth’s sluggish speed?
a. Sloths are lazy.
b. Sloths have developed in such a way as to be
able to avoid predators.
c. Sloths lack intelligence.
d. Sloths exemplify curious creatures that can
be viewed from above or below a tree.
e. Sloths need new habitats.
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Refer to the following passages for questions 44 and 45.
Passage 1
Wolfgang Amadeus Mozart’s remarkable musi-
cal talent was apparent even before the age
most children are able to sing a simple nursery
rhyme. His father Leopold recognized his
5 unique gifts and devoted himself to his son’s
musical education. By age 5, Wolfgang had
composed his frst original work. By age 6,
when Wolfgang was not only a virtuoso harpsi-
chord player but also a master violin player, he
10 gave his frst public concert. The audience was
stunned, and word of his genius traveled.
Passage 2
After Wolfgang Mozart’s frst public concert, his
father was quickly inundated with invitations
for the boy to play. Leopold seized the opportu-
15 nity and booked as many concerts as possible at
courts throughout Europe. A concert could last
up to three hours, and Wolfgang played at least
two of these concerts per day. Today, Leopold
might be considered the worst kind of stage
20 parent, but at the time it was not uncommon
for prodigies to make extensive concert tours.
Even so, it was an exhausting schedule for a
child who was just past the age of needing an
afternoon nap.
44. Which is the best summary of the information in both passages?
a. Wolfgang Mozart was a popular musical
artist and is still popular today. His father
assumed a big role in beginning Wolfgang’s
lengthy and exhausting career.
b. Wolfgang Mozart performed at least two
three-hour concerts daily. This exhausting
schedule began when Wolfgang gave his frst
concert and people learned that he was a
genius who could do amazing musical work.
c. Wolfgang Mozart created many musical
compositions, and he was spurred on by his
father. His music is now used in schools
around the world, including elementary
schools, middle schools, high schools,
and colleges.
d. Wolfgang Mozart wrote his frst composition
at the age of 5, and by the age of 6 he could
play the harpsichord and the violin. People
were amazed when Wolfgang gave his frst
concert. His musical talent was clear.
e. Wolfgang Mozart began composing music at
a young age. His father set up many concerts
for the boy to perform. While Wolfgang’s
father might be considered too demanding
today, this was not the case long ago.
45. Based on the passages, which claim would the author most likely make?
a. Children should take long naps much more
frequently.
b. People should be judged within the context of
the historical framework in which they live.
c. Parents should make certain their children
play musical instruments during the school
day.
d. Musical artists should refrain from playing
multiple concerts in a single day.
e. Family members should mind their own
business and refrain from meddling in the
business of others.
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Refer to the following passage for questions 46 through
49.
The skyline of St. Louis, Missouri, is fairly
unremarkable, with one prodigious excep-
tion––the Gateway Arch, located on the banks
of the Mississippi River. Part of the Jefferson
5 National Expansion Memorial, the arch is an
amazing structure built to honor St. Louis’s role
as the gateway to the west. In 1947, a group of
citizens, the Jefferson National Expansion
Memorial Association, held a nationwide com-
10 petition to select a design for a new monument
to celebrate the growth of the United States.
Other U.S. monuments at the time featured
spires, statues, or imposing buildings, but the
winning plan for this contest was a completely
15 different type of structure. The man who won,
Eero Saarinen, later became a famous architect.
In designing the arch, Saarinen wanted to “cre-
ate a monument that would have lasting signif-
cance and would be a landmark of our time.”
20 The Gateway Arch is a masterpiece of
engineering, a monument even taller than the
Great Pyramid in Egypt. In its own way, the
arch is at least as majestic as the Great Pyramid.
The Gateway Arch is shaped as an inverted cat-
25 enary curve, the same shape that a heavy chain
will form if suspended between two points.
Covered with a sleek skin of stainless steel, the
arch often refects dazzling bursts of sunlight.
46. Which statement from the passage includes both a fact and an opinion?
a. In its own way, the arch is at least as majestic
as the Great Pyramid.
b. The Gateway Arch is part of the St. Louis
skyline.
c. The Gateway Arch is located on the banks of
the Mississippi River.
d. The Gateway Arch is a masterpiece of
engineering, a monument even taller than
the Great Pyramid in Egypt.
e. The Gateway Arch is shaped as an inverted
catenary curve, the same shape that a heavy
chain will form if suspended between two
points.
47. According to the passage, Saarinen’s winning design was
a. sanctioned by the U.S. government.
b. unlike any other existing monument.
c. part of a series of monuments.
d. less expensive to construct than other
monuments.
e. shaped like the Great Pyramid.
48. The role that the Jefferson National Expansion Memorial Association played in relation to the
Gateway Arch was to
a. build a tall structure.
b. hold a design competition.
c. create spires and statues.
d. provide clear blueprints.
e. develop a stainless steel skin.
49. Which best describes the author’s attitude toward the Gateway Arch?
a. impressed
b. curious
c. agitated
d. surprised
e. humorous
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Refer to the following graph for questions 50 and 51.
Signifcant wolf populations exist in Idaho and Wyo-
ming. The graph depicts the wolf populations in
these two states during a six-year period.
Wolf Population in Idaho and Wyoming, 2004–2009
M in
im um
N um
be r o
f W ol
ve s 1,000
800
600
400
200
0 2004 2005 2006 2007 2008 2009
Year
Idaho Wyoming
50. Which statement is supported by data in the graph?
a. The minimum wolf population in Idaho in
2002 was greater than 200.
b. The combined minimum wolf population in
Idaho and Wyoming in 2007 was greater
than 1,000.
c. By 2010, there were more than 1,000 wolves
in Idaho.
d. The wolf population decline in Wyoming in
2008 was a result of low temperatures.
e. In 2004, there were large numbers of wolf
subspecies in Wyoming and Idaho.
51. Based on data in the graph, which statement about wolves is accurate?
a. Food sources were more readily available for
wolves in Wyoming than those in Idaho
during the years shown in the graph.
b. From 2005 to 2006, the minimum wolf
population in Idaho declined.
c. From 2008 to 2009, the minimum wolf
population remained about the same in
Idaho.
d. There are fewer predators of wolves in Idaho
than in Wyoming.
e. From 2006 to 2007, wolves were better cared
for in Idaho than in Wyoming.
Refer to the following passage for questions 52 through
56.
With more than 22,000 miles behind her on her
29,000-mile journey around the world, Amelia
Earhart piloted her plane through overcast
skies, far above ocean waves. The time was
5 8:40 A.M., July 2, 1937: 39 years after Earhart’s
birth, 15 years after Earhart had become the
frst woman to make a solo U.S. round-trip
fight, one month after Earhart had begun the
current journey, one day after Earhart had
10 taken off on the current leg of the trip, and
scant minutes before Earhart would make her
fnal radio transmission––and then disappear.
Earhart accumulated vast accolades prior
to her disappearance; her passion for fying was
15 clear. When Earhart was 23, she convinced her
father to pay the $10 fee for her to ride skyward
as a passenger at an air show. Her father’s
investment paid off in myriad ways. She would
later say, “By the time I had got two or three
20 hundred feet off the ground, I knew I had to
fy.” To pay for fying lessons and her frst small
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plane, Earhart drove a sand and gravel truck
and organized mail at a telephone company.
These endeavors became additional invest-
25 ments in her future.
Earhart’s disappearance has been the
source of great speculation; however, no defni-
tive evidence has ever been uncovered to show
what happened on that fateful day. And only
30 speculation can detail the additional impact
Earhart’s investments might have had on his-
tory if she and her plane had not disappeared
in 1937.
52. Within the context of the passage, the word leg in line 10 could be replaced with which of the
following words to have the least impact on
the meaning of the sentence?
a. limb
b. joke
c. segment
d. appendage
e. dilapidation
53. Which is a thread woven by the author throughout the passage?
a. Earhart’s disappearance remains a mystery.
b. Earhart’s father was instrumental in her
career.
c. Earhart’s experiences emphasize the dangers
of fying.
d. The fnal journey of Earhart’s fying career
was clearly diffcult.
e. The investments in Earhart’s life resulted in
major achievements.
54. Which event included in the passage was the earliest event to spark Earhart’s interest in
fight?
a. driving a sand and gravel truck
b. ending an important radio transmission
c. heading skyward as a passenger at an air
show
d. soaring above ocean waves in overcast
weather
e. becoming the frst woman to make a
historical solo fight
55. Based on information in the passage, which statement is a logical conclusion?
a. Evidence regarding Earhart’s fnal fight has
been hidden from offcials.
b. Earhart’s radio was the major cause of the
fate that befell her aircraft in 1937.
c. Efforts were not made to locate Earhart and
her plane after the disappearance.
d. Earhart would have continued to garner
accolades if she had continued to fy beyond
1937.
e. Earhart would not have begun to fy if she
had not earned funds through sorting mail.
56. If Amelia Earhart were alive today, which would most likely and most accurately describe
her attitude toward space travel?
a. bored and irritated
b. interested and content
c. startled and belligerent
d. trepidatious and scornful
e. captivated and exhilarated
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Praxis® Core Academic Skills for Educators:
Reading Practice Test 3 Answers and Explanations
1. a. The ocean sunfsh eats jellyfsh, which is benefcial to human beings, as this aids in
limiting the population of jellyfsh. The spi-
der’s diet of mosquitoes is benefcial to
human beings, as it helps to minimize the
number of mosquitoes and other insects in
the environment. The diet in choices b and d
might be similar to the diet of sunfsh, as
both eat water-dwelling creatures, but this is
not the information addressed by the ques-
tion; the question relates to diets that are
benefcial to human beings. In choices c and
e, the diet is neither similar to the diet of the
sunfsh nor benefcial to human beings.
2. c. Whether an item looks unusual is a matter of opinion, not a matter of fact that can be
proven or disproven. Choices a, b, d, and e
can be proven.
3. e. The beginning of the passage references the rapidly expanding population of jellyfsh
and the problems presented by the jellyfsh.
The remainder of the passage references a
specifc type of fsh that eats jellyfsh in large
quantities, thus providing a potential solu-
tion for overpopulation. While two creatures
are described in the passage, the passage
does not focus on comparing and contrast-
ing these creatures, so choice a is incorrect.
Choices c and d describe things not in the
passage. Because events are not provided in
chronological order, choice b is incorrect.
4. d. The word curtail in the passage is describing the diffculty of limiting the population
growth of jellyfsh. The word curtail, there-
fore, must have a meaning similar to that of
limit, such as curb. If growth were curtailed,
it might not reverse. It could simply be lim-
ited in the future, so choice a is incorrect.
Choices b and e are incorrect because they
are antonyms of curtail. Context makes it
clear that curtail does not refer to with-
standing continuing population growth
(choice c).
5. c. The beginning of the passage includes infor- mation about negative aspects of the jellyfsh
population. The key word however suggests a
shift from negative to positive within the
passage. The words in choices a and b do not
help to provide a transition from negative to
positive. The word entirely in choice d does
not help to provide a transition from one
direction to an opposite direction within the
passage. The word though in choice e does
provide a transition at the end of the pas-
sage, but it does not help to transition from
content about jellyfsh to content regarding
sunfsh.
6. d. The author makes the case throughout the passage that unpleasant jellyfsh are increas-
ing in numbers, but the sunfsh might be
able to curtail this population growth.
Therefore, the author would most likely
agree that sunfsh should be protected.
Choices a, b, and c are not supported by any
evidence in the passage. Choice e is negated
by the information in the passage.
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7. c. The fnal sentence of the passage states that the ocean sunfsh should be protected across
the world, as it is in the European Union.
This answer choice provides the best support
for the statement. Choices d and e do not
provide support for the fnal sentence in the
passage. Choice a does not provide a reason
that ocean sunfsh should be protected,
while choice b does not relate to a ban on
fshing for sunfsh.
8. b. The passage states that once the diffcult Hillary Step is conquered, it is only a few
hundred feet of moderate climbing to the
mountain’s top. Therefore, the step is the
fnal signifcant obstacle to the summit, and
this is the reason it is most likely the moun-
tain’s most famous feature. Choices a and d
do not explain why the step is such a well-
known feature; instead, they provide history
regarding the mountain. Although the Hill-
ary Step is diffcult, the passage does not say
that is the reason it is most likely the moun-
tain’s most famous feature, so choice c is not
the best answer choice. Choice e is incorrect
because several hundred feet remain to be
ascended after the Hillary Step.
9. e. The end of the passage accentuates the diff- culties that Sir Edmund Hillary faced in his
initial ascent of Mount Everest; conse-
quently, his climb must be respected. There-
fore, the best synonym for venerable is
admirable. The climb itself might have been
hazardous (choice a) or technical (choice b);
however, venerable describes the achieve-
ment. The rope is advantageous (choice c);
however, this word cannot correctly be used
to replace venerable in the passage. The pas-
sage context shows that serious (choice d) is
not correct in meaning to replace venerable.
10. a. The passage mentions the advantage of the fxed rope on the Hillary Step, a climbing
advantage that has not always been available.
Therefore, although it is still diffcult to
ascend, it is now easier to ascend than it
once was. There is no mention in the passage
that the step is responsible for many casual-
ties (choice b) or requires several hours to
traverse (choice c). Choice d is incorrect
because the passage states that there are sev-
eral hundred feet to travel above the step. It
is also not reasonable to conclude that only
two climbers have traversed the Hillary Step
since the early 1950s (choice e).
11. e. In December the total rainfall was 2.4 in., whereas the total snowfall was 1.8 in.
Although the graph depicts only the four
months of December, January, February, and
March, it is possible that snowfall occurred
during other months, so choice a is incor-
rect. Choice b is incorrect because in Febru-
ary the total was 7.2 in., whereas in March
the total was 7.8 in. The amount of rainfall
rose in March, so choice c is incorrect.
Choice d is incorrect because the total was
6.5 in. in December and January but 6 in. in
February.
12. d. The average amount of rainfall during December is 2.4 inches, and the average
amount during March is 2.3 inches. The
graph provides the average snowfall and
rainfall but not the amount of hail, so it is
not possible to determine the amount of hail
referred to in choice a. Choice b is incorrect
because the graph shows that snowfall is
greater during March than during January.
The graph depicts snowfall and rainfall but
not the amount of sleet, so it is not possible
to determine the amount of sleet referred to
in choice c. Choice e is incorrect because the
bars depict a much greater quantity of snow-
fall than rainfall during February.
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13. b. The passage mentions that the immune sys- 15. a. The passage states that self-markers are tem is capable of distinguishing between
body cells and nonbody cells. Every person’s
immune system must learn to recognize and
deal with nonself molecules through experi-
ence; therefore, people’s immune systems are
not able to prevent their offspring from con-
tracting an infection (choice a), nor can the
immune system remember ancestors’ experi-
ences with a virus (choice e). Choice c is
incorrect because this is the person’s frst
encounter with the virus; the immune sys-
tem has not had previous experiences with
it. A normally functioning immune system
will not attack its own tissues, so choice d is
incorrect.
14. b. According to the passage, the ability to dis- tinguish between self and nonself is at the
heart of the immune system. This is evident
in the frst half of the passage and further
emphasized throughout the passage. Choice
a is an incorrect selection because, although
the passage begins with a description of the
complexity of the immune system, the pas-
sage as a whole does not focus specifcally on
the structure of the immune system. While
the point expressed in choice c is made in
the passage, it represents only a minor point
about the balance between self cells and
nonself cells; it does not represent the main
point of the passage. The statement in choice
d is too general to be considered the main
idea of the passage. A major point could be
that the human body’s immune system is an
extraordinary and complicated mechanism,
but the passage does not focus on the
human body’s capabilities in general. The
fnal sentence of the passage suggests that
the human body is exposed to a sea of
microbes (choice e), but this is not the focus
of the passage. The passage is about the
immune system as a whole.
unique to DNA, meaning that identical
twins would have the same self-markers;
because self-markers are responsible for pre-
venting the body’s immune system from
attacking its own tissues, this explanation
makes the most sense. There is no indication
in the passage that the age of tissue would
have any relevance to whether a body identi-
fes the tissue as self or nonself; therefore,
there is no support for answer choice b.
Choice c is incorrect because the passage
does not suggest that gender of the host
body plays any role in an immune system
identifying a cell or tissue as self or nonself.
Choice d is incorrect because previous ill-
nesses, even if they were shared by the twins
during childhood, would not set precedent
for tissues being shared between them.
Choice e is incorrect because the passage
does not provide information about the
number of self-markers in twins versus
nontwins.
16. a. The word sensitive has several defnitions. In the context of this passage, it is being used to
describe the immune system––specifcally,
the ability of the immune system to react
quickly and effectively. The meaning able to
react is accurate. The word sensitive can also
mean delicate (choice b), but this meaning
does not make sense within the context of
the passage. The meaning of indifferent in
choice c does not make sense within the con-
text of the passage. The word sensitive can
mean nervous (choice d), but this meaning
does not make sense within the context of
the passage. Although the word sensible in
choice e has the same base as sensitive, these
words have different meanings.
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17. e. Because a trip by astronauts would be lengthy, it would expose astronauts to
extreme isolation. The size of the spacecraft
would also limit the available supplies. Addi-
tionally, the astronauts would be uncertain
about what to expect when they arrived.
These factors are similar to the early Euro-
pean expeditions to the Americas. A luxury
cruise (choice a) and a jet fight (choice d)
would provide passengers with comfort and
expediency, both of which the early Euro-
pean expeditions to the Americas lacked. A
solo skydive (choice b) might be similarly
frightening, but it would not require a con-
siderable amount of time, so this is not the
best answer choice. During a robotic probe
(choice c), there would be no explorer who
would undergo the stress and diffculties of
the journey.
18. a. The frst paragraph of the passage discusses one specifc invention created by Benjamin
Franklin: a stove called the Franklin stove.
Choice b is incorrect because details for
these materials are not included. The passage
does not provide much information about
the scientifc process through which a
Franklin stove works (choice c). Choice d is
incorrect because, although the passage
mentions the fact that Franklin could have
made a great deal of money from his stoves,
it also states that he declined to patent the
stove. The frst paragraph offers only a gen-
eral comparison of the Franklin stove to
other stoves; that is not the primary purpose
of the paragraph, so choice e is incorrect.
19. e. The word however separates ideas about the riches Franklin could have received from his
invention from ideas about his decision to
share the stove’s design. Choice a is incorrect
because the word however is not being used
to compare important physical descriptions.
Nor is the word however being used to com-
pare benefts (choice b), to contrast advan-
tages and drawbacks (choice c), or to
compare usefulness with costs (choice d).
20. d. Benjamin Franklin was the inventor of the Franklin stove. Therefore, according to the
passage, he was offered the right, or legal
permission, to patent his stove. The other
choices (a, b, c, and e) are incorrect. Those
meanings of right do not make sense within
the context of the passage and the sentence
in which the word right appears.
21. d. Based on the fact that Franklin declined the opportunity to patent his stove, it can be
inferred that he was less concerned with
making money than with helping others.
This is reinforced by the quote from Frank-
lin at the end of the passage. There is no evi-
dence in the passage to support the
statement in choice a. The passage states that
Franklin could have become one of the rich-
est people in the country if he had patented
his stove; the fact that he did not patent the
stove indicates that he was not primarily
motivated by potential income or becoming
wealthy, so choices b and c are incorrect.
There is no evidence in the passage to sup-
port the inference in choice e.
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22. c. The passage mentions that the Franklin stove burned less wood and generated more
heat than its predecessors, which means it
was very effcient. Since neither the price, the
size, nor the style of the stove is mentioned
in the passage, it cannot reasonably be
inferred that the Franklin stove was expen-
sive (choice a), small (choice d), or stylish
(choice e). Choice b is incorrect because the
Franklin stove was designed to be much
safer than other stoves.
23. e. The word nevertheless is generally used to provide a contrasting transition. In this pas-
sage, it is used to contrast the high costs of
NASA with its important technological
advancements. The use of the word never-
theless to provide a contrasting transition is
not shown by answer choices a and b.
Choice c is incorrect because the word nev-
ertheless does not suggest that space opera-
tions specifcally make up too great a
fraction of NASA’s budget. Contrary to
choice d, the passage states that the fnancial
expenditures of the agency have not changed
a great deal throughout the past decade, but
are steadily increasing.
24. a. The passage focuses on the high costs of NASA. Therefore, the meaning of exorbitant
must refect these high costs. Choices b, c,
and d are incorrect, as they are not sup-
ported by context in the sentence. Choice e is
incorrect because although space travel
might be exciting, that is not the meaning
of exorbitant.
25. b. The author mentions the high costs of oper- ating NASA but ends the passage with a dec-
laration of support for the agency’s valuable
research and development. Choice a is
incorrect because after acknowledging that it
might be diffcult to justify the expense dur-
ing times of domestic crises, the author
states: Nevertheless, the indirect benefts of
space exploration are impossible to ignore.
There is no specifc support in the passage to
suggest that the author would want the costs
to decrease during a time of defcit (choice
c) or to be validated during periods of plan-
etary exploration (choice e). Choice d is not
supported by evidence in the passage.
26. b. The author’s chief argument is that, despite the public perception, sharks are not espe-
cially dangerous to humans; if only 1% of
shark species were dangerous to humans,
this would strengthen the argument. The
statements in choices a and d are not rele-
vant to the author’s argument. The state-
ment in choice c provides a potential
method for avoiding a shark attack; however,
it does nothing to weaken or strengthen the
author’s argument. The statement in choice
e would make sharks seem more dangerous
to people, which would weaken the author’s
argument.
27. e. The author explains that fatal shark attacks are exceedingly rare, and then refers to the
fear of sharks as groundless, which means
without support or unwarranted. Choices a
and d are not supported by the context of
the passage. It is true that sharks are aquatic
(choice b), but this is not the meaning of the
word groundless as it appears in the passage.
While some might describe sharks as terrify-
ing (choice c), this is not the meaning of the
word groundless as it appears in the passage.
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28. a. The author describes the shark as massive, swift, and impressive, and refers to it as one
of the planet’s most remarkable creatures. This
shows that the author is treating the shark
with reverence. Choice b is incorrect since
the author explains that fear of sharks is
largely unwarranted. The author has a strong
positive opinion about sharks, so the atti-
tude would not be best described as ambiva-
lent (choice c). The author has not made
statements to reasonably lead to the conclu-
sion in choice d. The author’s attitude
toward sharks would not be best described
as cautionary (choice e).
29. c. The frst paragraph of the passage describes the physical characteristics of the shark, such
as its size, speed, and jaws. The passage ini-
tially describes the shark in ways that are
intimidating, but the second paragraph
defends the shark as causing few human
deaths and in turn suffering from popula-
tion decline. Choice a is incorrect, as com-
mon perceptions of the shark are not
supported in the second paragraph. Choice
b is incorrect because, although the passage
briefy mentions the history of the animal,
its evolution and present-day status are not
the focus of the organization of the passage.
Choice d is incorrect; the attributes dis-
cussed are not harmless. Choice e is incor-
rect; features of the shark are not described
in further detail in the second paragraph.
30. e. The author points out that many people fear shark attacks, even though they do not hap-
pen often. Similarly, many people fear
snakes, even though most snakes are not
dangerous. Choices a, b, and c are incorrect;
people do not generally fear ladybugs, frogs,
or caterpillars. Choice d is incorrect; deer
may fear people, but people do not generally
fear deer as they do sharks.
31. d. The detail that the shark’s population num- bers are declining would best support the
idea of a conservation bill. The details in
choices a and e might provide reasons to
refrain from killing sharks, but they do not
necessarily indicate that sharks need protec-
tion through legislation. The details in
choices b and c do not directly support the
protection of the shark.
32. e. This answer is an opinion; it cannot be sup- ported by concrete evidence. When the
author suggests that people should be fearful
of losing one of the planet’s most remark-
able creatures, the author is providing a
statement of personal beliefs. The other
choices (a, b, c, and d) are statements of fact.
They can be proven through concrete
evidence.
33. d. This evaluation question asks you to con- sider the evidence used to support the
author’s claim that Jane Austen viewed her
unmarried status as a beneft to her writing.
Because the author employs a quotation
from one of Austen’s relatives to back up her
claim, it would be helpful to know more
about the source. A greater degree of detail
and description (which relative? can the rel-
ative be considered reliable?) would
strengthen the author’s argument.
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34. b. To determine the tone of the passage, you need to look at the author’s point of view,
style, and word choice. Because the author’s
style and word choice are not formal, you can
eliminate choice a, somber. Her style and
word choice are not overly casual, either, so
you can strike choice e, playful. The author
uses the third-person point of view for most
of the passage, signaling that the passage is
attempting to be objective. Because the
author uses the frst-person point of view to
make a claim, you can infer that the author is
not apathetic (choice c) about her subject.
Although the author may indeed be appre-
ciative (choice d) about her subject, her word
choice does not support this.
35. b. According to the graph, the zoo has six female lions and six female cheetahs. Choice
a is incorrect because the graph does not
provide data regarding the popularity of the
cats at the zoo. The graph does not provide
data regarding the diffculty of containing
animals in captivity (choice c). The graph
shows that the zoo has eight female leopards
and only four male leopards, not more male
leopards than female leopards as stated in
choice d. Choice e is incorrect because the
graph does not provide data regarding the
speed of animals.
36. d. The graph title is “Number of Big Cats at Local Zoo.” This makes it clear that the zoo
identifes all of the animals included in the
graph as big cats. Although the zoo has more
lions than other big cats, the chart does not
indicate that lions are the largest of the cats
as stated by choice a. The graph title is
“Number of Big Cats at Local Zoo,” which
makes it clear that the zoo identifes all of
the animals included in the graph as big cats,
not just lions and tigers as stated in choice b.
Choices c and e are incorrect. The graph
does not provide any details that support
these claims.
37. d. The author’s main point in this passage is to set forth the need to investigate the ecologi-
cal status of Pará. Choice a is incorrect
because the animals and vegetation of Pará
are not necessarily distinct; the passage asks
whether the species in the Pará district are
identical, only slightly modifed, or quite
specifc to the species of the other regions.
The passage states that Guiana and Brazil
support a large number of ecologically dis-
tinct habitats, but it does not make this
claim defnitively about Pará, so choice b is
incorrect. The passage does not focus on the
overriding importance of Pará’s ecological
considerations (choice c). There is no evi-
dence in the passage to support the claim
that Pará’s government has failed to be sup-
portive of expeditions as stated in choice e.
38. e. The passage states that Guiana and Brazil form two distinct provinces in terms of their
animal and vegetation species. The passage
references the fact that Guiana and Brazil are
considered distribution centers (choice a),
but this is not the major reason Guiana and
Brazil form two distinct provinces. Choice b
is incorrect because, although the passage
references the nucleus of tableland that
exists in Guiana and in Brazil, these table-
lands are not the major reason Guiana and
Brazil form two distinct provinces. The pas-
sage references valleys and expanses (choice
c), but these are not major reasons Guiana
and Brazil form two distinct provinces.
These terms in choice d are referenced in the
passage, but they do not identify the major
reason Guiana and Brazil form two distinct
provinces.
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39. b. The fact that the Pará river valley is located between Guiana and Brazil is important to
the information in the passage, which relates
to the species in Guiana, Brazil, and the Pará
river valley. The other choices (a, c, d, and e)
are incorrect. Passage details show that they
are not the location of the river valley.
40. a. In the passage, the author suggests that com- paring species found in the Pará river valley
with those found in contiguous regions
should be pursued. There is no evidence in
the passage to suggest that the author would
advise relocation of species (choice b),
blocking comparison of species (choice c),
removal of indigenous species from Guiana
and Brazil (choice d), or introduction of
new species (choice e).
41. e. Disguising itself as vegetation in a tree is an unusual method of protection. It is true that
the passage references the slow speed of the
sloth; however, based on information in the
passage, it is not logical to draw the conclu-
sion in choice a that the sloth is the slowest
creature on Earth. There is no evidence in
the passage to support the conclusions in
choices b, c, and d.
42. c. The passage focuses on the observation of the sloth and the information gleaned from
such observation. It makes sense that the
author would agree that there is a great deal
to be learned from observing sloths. Algae is
mentioned only in conjunction with the
sloth’s fur growing algae; there is no evi-
dence to support choice a’s statement that
algae is important to the sloth’s diet. The
author states that the sloth is one of the most
unusual creatures on Earth, so likely would
not agree with choice b’s statement that
many animals are similar to the sloth. While
the author mentions harpy eagles as preda-
tors, there is no evidence in the passage to
support the idea that they should be
removed from the sloth’s habitat (choice d).
There is no evidence in the passage to sup-
port choice e.
43. b. The information in the passage makes it clear that the languid motion is a factor in
the sloth’s ability to avoid predators. Choice
a is incorrect because the author states that
the sloth’s speed should not be mistaken for
laziness. There is no evidence in the passage
to support the argument that sloths lack
intelligence (choice c) or need new habitats
(choice e). While the passage mentions the
fact that sloths may be viewed from above or
below a tree, this is not related to the sloth’s
speed or curiosity, so choice d is incorrect.
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44. e. This answer includes information from the frst passage, which details the early years of
Wolfgang’s musical career. It also includes
information from the second passage about
the many concerts Wolfgang performed and
the attitudes in the past and present regard-
ing his father’s demands. Choice a is incor-
rect because there is no information in
either passage about Mozart’s popularity
today. Choice b summarizes only informa-
tion from Passage 2. The details in the pas-
sages do not support the summary in choice
c that Wolfgang’s music is now used in
schools around the world. Choice d summa-
rizes only information from Passage 1.
45. b. In Passage 2, the author states that whereas Leopold would be considered the worst kind
of stage parent today, this would not have
been the case in the historical period during
which Wolfgang and Leopold lived. While
naps are mentioned in one of the passages,
there is no evidence in either of the passages
to support the statement in choice a.
Although the author mentions musical
instruments, there is no evidence in either
passage to support the statement in choice c.
Although the author mentions Wolfgang
playing at least two concerts a day when he
was a child, there is no evidence in either
passage to support the statement in choice d.
Although the author references the many
concerts played by Wolfgang at the demand
of his father, the statement in choice e is not
supported by evidence in the passages.
46. d. The Gateway Arch is a masterpiece is an opin- ion because it cannot be verifed through
facts or statistics, and the fact that the mon-
ument is even taller than the Great Pyramid
can be verifed through measurements.
Choice a contains an opinion but not a fact.
Choices b, c, and e each contain a fact but
not an opinion; the buildings that compose
the skyline, the location of the arch, and the
arch’s shape can all be verifed.
47. b. The passage states that the plan was a com- pletely different type of structure. The
details in choices a, c, d, and e are not
included in the passage.
48. b. The passage indicates that the association held a design competition. The passage does
not indicate that the task of the association
was to build a tall structure (choice a). The
passage does not indicate that the task of the
association was to create spires and statues
(choice c). The passage does not indicate
that the task of the association was to pro-
vide blueprints (choice d). The passage
does not indicate that the task of the associa-
tion was to develop a stainless steel skin
(choice e).
49. a. The author describes the Great Arch as a masterpiece and as being as majestic as the
Great Pyramid. This makes it clear that the
author is impressed by the Great Arch.
Although the author might be curious about
the Great Arch and want to learn more
about it, choice b is not directly supported
by information in the passage. There is no
evidence in the passage to indicate that the
author feels agitated about the Great Arch
(choice c). Choice d is not directly supported
by information in the passage. Choice e is
incorrect because there is no evidence in the
passage to suggest that the author’s attitude
is humorous.
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50. b. This response is supported by data in the graph. Choice a is incorrect because the
graph does not provide data for 2002.
Choice c is incorrect because the graph does
not provide data for 2010. The graph does
not provide data regarding temperatures
(choice d), nor does it provide data regard-
ing wolf subspecies (choice e).
51. c. The graph shows that the minimum wolf population was higher than 800 during both
2008 and 2009. Choice a is incorrect because
the graph does not provide information
about food sources. The graph does not
show that the minimum wolf population
decreased during this time span (choice b).
Choice d is incorrect because, although there
were fewer wolves in Wyoming than in
Idaho during the years depicted in the
graph, the graph does not indicate why; this
could have been due to predators, but there
are no data in the graph to support this
assumption. Choice e is incorrect because,
although the depicted population was
greater in Idaho than in Wyoming during
this time, there is insuffcient information in
the graph to determine the reason for this
disparity.
52. c. A leg of a trip is a segment of a trip. Choice a is incorrect because the defnition of limb
that relates to leg would reference a part of
the anatomy, and this meaning does not
make sense within the context of the pas-
sage. Although there is an idiom that refers
to “pulling someone’s leg,” this meaning of a
joke (choice b) does not make sense within
the context of the passage. The defnition of
appendage (choice d) that relates to leg
would reference a part of the anatomy; this
meaning does not make sense within the
context of the passage. There is an idiom
that refers to “being on its last legs” in refer-
ence to an item that is dilapidated (choice e)
or falling apart, but this meaning does not
make sense within the context of the
passage.
53. e. The passage references the investment Ear- hart’s father made and the investments Ear-
hart made herself. Choice a is incorrect. It is
true that Earhart’s disappearance remains a
mystery, but this is not a thread woven
throughout the passage; this information is
introduced only at the end of the passage.
Choice b is incorrect. It is true that Earhart’s
father provided the funds for her frst fight,
but his infuence is not a thread woven
throughout the passage; information related
to Earhart’s father appears only in the mid-
dle of the passage. Choice c is incorrect. Ear-
hart’s disappearance is addressed in the
passage, but there is not a general emphasis
placed on the dangers of fying. Choice d is
incorrect. It is clear that the fnal journey of
Earhart’s fying career must have been diff-
cult––since she disappeared––but the fnal
journey is not a thread woven throughout
the passage.
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54. c. Earhart’s fight as a passenger at an air show 56. e. Text evidence shows that Earhart was capti- sparked her interest. Choice a is incorrect.
Earhart drove a sand and gravel truck to
earn funds for her endeavors; however, driv-
ing the truck did not spark her interest in
fight. Choice b is incorrect because Earhart’s
interest in fight was sparked long before she
ended the radio transmission referenced in
the passage; this radio transmission occurred
just before she disappeared. Earhart’s inter-
est in fight was sparked long before the
event in choice d; as the passage states, this
event occurred just before she disappeared.
The solo fight referenced in the passage
(choice e) occurred after Earhart’s interest in
fight was initially sparked through a ride in
a plane at an air show.
55. d. Passage details show that Earhart had received many accolades, and based on her
dedication and accomplishments, it is logical
to infer that she would have continued to
garner accolades. Choice a is incorrect
because there are no details in the text to
support the inference that evidence has been
hidden. Although the radio transmission
occurred just before the disappearance, there
are no details in the text to support the
inference that the radio transmission caused
the disappearance (choice b). Choice c is
incorrect. Based on Earhart’s accomplish-
ments as detailed in the passage, and based
on the fact that offcials would make efforts
to locate any missing pilot and fight, it
would be logical to infer that great effort
would have been made to locate Earhart and
her aircraft after the disappearance. Choice e
is incorrect because, based on passage
details, it is clear that Earhart was dedicated
to fight; if the job of sorting mail had not
been available, it is logical to infer that she
would have found another job to help her
earn the funds she needed.
vated and exhilarated by fying airplanes. It
is logical to assume that she would have the
same feelings about space travel. Text evi-
dence does not support choice a, as evidence
in the text shows Earhart’s enthusiasm for
air travel. Choice b is incorrect because
whereas Earhart would certainly be inter-
ested in space travel, text evidence shows
that her interest would be much more pas-
sionate than mere contentment. While Ear-
hart might be startled by the great advances
in air travel, text evidence does not support
answer choice c; it is not logical to assume
that she would be belligerent about travel
into space. Choice d is incorrect because text
evidence shows that Earhart was at the fore-
front of air travel, so it does not indicate that
she would feel trepidatious. Additionally,
text evidence points to her support of air
travel, so it does not make sense that she
would be scornful of space travel.
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Praxis® Core Academic Skills for Educators:
Writing Practice Test 3
Part I: Multiple-Choice
Time: 40 Minutes
Directions: Each of the following 15 questions con-
sists of a sentence that contains four underlined por-
tions. Read each sentence, and decide whether any of
the underlined parts contains an element that would
be considered incorrect or inappropriate in carefully
written English. The error or concern may be in
grammatical construction, word use, punctuation, or
capitalization. Select the underlined portion that
must be revised to produce a correct sentence. If a
sentence contains no errors, select “No error.” No
sentence contains more than one error.
1. They had already clearly lied to him, but he a b
was very foolish enough to trust them again. c d
No error e
2. Many locales have statewide laws that a b
prohibit dog owners from allowing their dogs c
to run lose in specifc types of public areas. d
No error e
3. When Rosa visited Japan last summer a b
for her graduate program, she sees many c d
Shinto temples. No error e
4. In reference to teaching children, we would a
agree that all childrens strengths and challenges b c
should be considered. No error d e
5. Earthquakes are extremely diffcult to predict, that is why most scientifc investigations
a b
take place after occurrences of earthquakes. c d
No error e
6. Midori and Pat disagreed regarding every a
aspect of the project; it was clear that they b c
saw eye to eye on the preparations that needed d
to be made. No error e
7. Some people believe it’s more important to a b
enjoy working at a job than large sums c
of money. No error d e
8. Contestants in the international palms resort a
youth spelling bee watched as an eighth-grade b
student from Pennsylvania won the spelling c
bee’s trophy. No error d e
9. The event brings in spectators from across the globe, and they showcase the surfng skills
a b
of all the local surfers. No error d e
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10. He knew perfectly good that it was time for a b
him to do the dishes; however, immediately c
after dinner, he thought of an excuse for d
leaving the house. No error e
11. The audience applauded politely for the a
sick actor, he hadn’t performed to the best of b c
his ability. No error d e
12. Several landscape designers submitted bids a
for the shopping mall project, and the property b
owner awarded the contract to the designer
whose proposal was the least expensive. c d
No error e
13. The frst-year teachers in King Central a b
School District are; Kamal, Dana, Keisha, and c d
Julieta. No error e
14. The customer called the store many times a b
that day, but they never answered. No error c d e
15. Either the board president or the accounts a
administrator will need to act to insure the fair b
treatment of all employees in the company. c d
No error e
Directions: In each of the following questions, part
of the sentence or the entire sentence has been under-
lined. Beneath each sentence, the underlined words
are written in fve ways. The frst option repeats the
original underlined content, but the other four differ.
If the original sentence is the best option, select the
frst choice; otherwise, select one of the other choices.
This part of the test measures correctness and effec-
tiveness of expression. Pay particular attention to
usage in grammar, word choice, sentence construc-
tion, capitalization, and punctuation. Select the
option that best expresses information presented in
the original sentence. Your answer should be free of
awkwardness, ambiguity, and redundancy.
16. To improve his results, the experiment was repeated by exercising greater control of the
variables.
a. the experiment was repeated
b. he repeated the experiment
c. the experiment repeated
d. he and me repeated the experiment
e. their experiments was repeated
17. Alternative medicine which includes massage and yoga, has become increasingly appealing to
Americans.
a. medicine which includes massage and yoga,
has
b. medicine, which includes massage and yoga
has
c. medicine which include massage and yoga,
has
d. medicine, which include massage and yoga,
has
e. medicine, which includes massage and yoga,
has
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18. Nobody could believe the luck they had that day.
a. Nobody could believe
b. Nobody could hardly believe
c. Nobody would never believe
d. Nobody would not believe
e. Nobody would always not believe
19. Although the car hit the roadblock, it wasn’t damaged.
a. Although the car hit the roadblock, it wasn’t
damaged.
b. The car hit the roadblock but did not
damage it.
c. The car hit the roadblock, it wasn’t damaged.
d. Although the car hit the roadblock, it was
damaged.
e. Even though the car hit the roadblock, it
wasn’t damaged.
20. It is the general consensus that the principal is kind and has intelligence.
a. is kind and has intelligence.
b. is kinder and has intelligence.
c. is kind and intelligent.
d. has kind intelligence.
e. has kindness and intelligent.
21. He asked if my Aunt and Grandfather would organize the family reunion.
a. my Aunt and Grandfather
b. My aunt and grandfather
c. my Aunt and grandfather
d. my aunt and Grandfather
e. my aunt and grandfather
22. The committee threw a huge end-of-the-year party for them and I.
a. them and I
b. they and I
c. their and me
d. their and I
e. them and me
23. The dog, sleeping in its bed, not noticing the cat in the room.
a. The dog, sleeping in its bed, not noticing the
cat in the room.
b. The dog, asleep in its bed. Not noticing the
cat in the room.
c. The dog, sleeping in its bed; not noticing the
cat in the room.
d. The dog was sleeping in its bed, not noticing
the cat in the room.
e. The dog. Was sleeping. In its bed and not
noticing the cat in the room.
24. As past history has illustrated, we should learn from our mistakes.
a. As past history has illustrated,
b. As past history has illustrated
c. As history has illustrated,
d. As history has illustrated
e. As passed history has illustrated,
25. The swimmer explained how to do the back- stroke on the train.
a. The swimmer explained how to do the
backstroke on the train.
b. The swimmer explain how to do the
backstroke on the train.
c. The swimmers explains how to do the
backstroke on the train.
d. The swimmer on the train explained how to
do the backstroke.
e. The swimmer on the train explain how to do
the backstroke.
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26. The therapist massaged gently along the patient’s spine.
a. massaged gently
b. massaged gentle
c. massage gentle
d. massage gently
e. messaged gently
27. Not only did we inadvertently write the wrong address on the invitations, but we also forgot to
include a telephone number.
a. but
b. nor
c. or
d. and
e. neither
28. After the solution splattered, scientists took off their lab coat right away.
a. scientists took off their lab coat
b. scientists took off their lab coats
c. scientists take off their lab coat’s
d. scientists takes off their lab coats
e. scientists’ took off their lab coat
29. They wouldn’t have required such diffcult instructions if they hadn’t developed such a
complicated process.
a. They wouldn’t have required such diffcult
instructions if they hadn’t
b. They wouldnt have required such diffcult
instructions if they hadn’t
c. They wouldn’t have required such diffcult
instructions if they, hadnt
d. They wouldn’t have, required such diffcult
instructions if they hadn’t
e. They wouldnt have required such, diffcult
instructions if they hadnt
Directions: Some parts of the following passage need
to be improved. Read the passage and then answer
the questions about specifc sentences. In choosing
your answers, pay attention to development, organi-
zation, word choice, tone, and the standards of writ-
ten English.
(1) Creating a lush garden requires a great deal
of care and time. (2) The fower bed should
consist of appropriate proportions of soil, rice
hulls, and mulch. (3) If fower beds have been
properly covered with fowers, they will
fourish.
(4) The Floral society of America pub-
lishes a number of annual pamphlets regarding
the optimal shapes and layouts for fower beds.
(5) Those who follow the advice will have good
gardens. (6) Other than initial planting, there
are many considerations in creating and main-
taining a healthy garden. (7) For example, suff-
cient water is essential, suffcient sunlight is also
a basic requirement.
(8) After fowers have bloomed, it is nec-
essary to “deadhead” the blooms of some types
of fowers. (9) Deadheading consists of pinch-
ing back the blooms that are beginning to die.
(10) This practice results in fuller, lovelier
blooms. (11) For fowers with multiple blooms,
some gardeners like to begin the deadheading
process at the top of the fower, descending
down to the lowest blooms to complete the
process. (12) Be certain to select fowers that
will grow well in your region. (13) Pinching
blooms is one of the steps that must be care-
fully considered by gardeners.
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30. Which is the most effective way to write sen- tence 3 (reproduced below)?
If fower beds have been properly covered
with fowers, they will fourish.
a. As it is now.
b. Flower beds have been properly covered with
fowers, they will fourish.
c. If fower beds have been properly covered
with fowers, it will fourish.
d. If fower beds have been properly covered
with fowers, the fowers will fourish.
e. Flower beds has been properly covered with
fowers; properties will fourish.
31. What is the correct and most effective way to write sentence 4 (reproduced below)?
The Floral society of America publishes a
number of annual pamphlets regarding the
optimal shapes and layouts for fower beds.
a. As it is now.
b. the Floral Society of america publishes a
number of annual pamphlets regarding the
optimal shapes and layouts for fower beds.
c. The Floral Society of America publishes a
number of annual pamphlets regarding the
optimal shapes and layouts for fower beds.
d. The foral society of america publishes a
number of annual pamphlets regarding the
optimal shapes and layouts for fower beds.
e. The Floral Society Of America publishes a
number of annual pamphlets regarding the
optimal shapes and layouts for fower beds.
32. Which is the most effective way to write sen- tence 5 (reproduced below)?
Those who follow the advice will have good
gardens.
a. As it is now.
b. Those who follow the advice will have
gorgeous gardens.
c. Those who follow the advice will have giant
gardens.
d. Those who follow the advice will have nice
gardens.
e. Those who follow the advice will have
gregarious gardens.
33. What is the most effective way to write sen- tence 7 (reproduced below)?
For example, suffcient water is essential,
suffcient sunlight is also a basic
requirement.
a. As it is now.
b. For example, suffcient water is essential,
suffcient sunlight is also. A basic
requirement.
c. For example, suffcient water is essential
suffcient sunlight is also a basic
requirement.
d. For example suffcient water is essential,
suffcient sunlight is also a basic
requirement.
e. For example, suffcient water is essential;
suffcient sunlight is also a basic
requirement.
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34. What is the most effective way to write sen- tence 11 (reproduced below)?
For fowers with multiple blooms, some
gardeners like to begin the deadheading
process at the top of the fower, descending
down to the lowest blooms to complete the
process.
a. As it is.
b. For fowers with multiple blooms, some
gardeners like to begin the deadheading
process at the top of the fower, descending
to the lowest blooms to complete the
process.
c. For fours with multiple blooms, some
gardeners like to begin the deadheading
process at the top of the fower, descending
down to the lowest blooms to complete the
process.
d. For fowers with multiple blooms, some
gardeners likes to begin the deadheading
process at the top of the four, descending
down to the lowest blooms to complete the
process.
e. For fowers with multiple blooms, some
Gardeners like to begin the deadheading
process at the top of the fower, descending
to the lowest blooms to complete the
process.
35. Which sentence should be removed from the fnal paragraph to eliminate a sentence that
fails to be relevant to the paragraph’s main
idea?
a. After fowers have bloomed, it is necessary to
“deadhead” the blooms of some types of
fowers.
b. Deadheading consists of pinching back the
blooms that are beginning to die.
c. This practice results in fuller, lovelier
blooms.
d. Be certain to select fowers that will grow
well in your region.
e. Pinching blooms is one of the steps that
must be carefully considered by gardeners.
36. Which sentence would be the most effective concluding sentence to add to the passage?
a. Guidance is available as you work to
determine which fowers to plant in your
garden.
b. The layout of your garden should be your
frst consideration as you tackle the many
issues related to creating your dream garden.
c. Always remember the importance of
planting in a sunny location as you prepare
the soil and mulch for your garden.
d. Carefully planning and meticulously
maintaining your garden will lead to the fne
results desired by profcient gardeners.
e. Gardeners would be wise to have ample
water for taking care of the many fowers
they will purchase.
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Directions: The questions that follow will measure
your basic research skills. Read each question and
then select the best option.
37. Read the following citation. Drummond, Analise M., and Johann Small,
eds. Assessing Education in Georgia and
California. Mahwah, NJ: Publishing Interest
Associates, 2013. Print.
Based on the citation, which of the following is
accurate?
a. Georgia, Analise, and Johann developed
content for this book.
b. The edition of the book in the citation is the
second edition.
c. The author of the book is N. J. Mahwah.
d. The book was published on the Web.
e. There are two editors of this book.
38. Which information would be most relevant to support a text expressing the following
opinion?
Opinion:
Our city’s sales tax should be increased by 1
cent.
a. Additional income is needed to repair the
city’s roads and bridges.
b. Some stores have opened in the city, while
others have closed.
c. A major magazine recently declared the city
to be one of the nicest in the nation.
d. The city is trying to attract shoppers from
nearby areas to shop in the city’s stores.
e. Home sales have increased near the city’s
lake, but sales have dropped in other areas.
39. Of these sources, which would be the most credible and relevant for a school project
focused on consuming a balanced diet?
a. nutrition statements from a food
manufacturer regarding a specifc product
b. statistics and other data based on a
university’s nutrition studies
c. farming details from a vegetable farmer’s
nutritious crops
d. students’ opinions regarding nutritious
favorite foods
e. online nutrition articles about junk food
40. Of the listed strategies, which answer choice shows the most effective order to follow for
writing a research paper?
a. revise, narrow, outline, brainstorm, draft
b. narrow, draft, revise, brainstorm, outline
c. draft, outline, narrow, revision, brainstorm
d. outline, draft, revise, brainstorm, narrow
e. brainstorm, narrow, outline, draft, revise
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Part IIa: Argumentative Essay
Time: 30 Minutes
Directions: Read the opinion stated below. To what extent do you agree or disagree with this opinion? Support
your views with specifc reasons and examples from your own experiences, observations, or reading. Allow 30
minutes for your essay.
A football team should immediately and permanently remove a player accused of assault. If the team fails
to do so, people should refuse to attend the team’s games. Assault is a serious crime and is not to be toler-
ated. Football is glorifed in our country, and after a player steps onto the feld, the player’s morals, ethics,
and common sense go out the window.
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Part IIb: Source-Based Essay
Time: 30 Minutes
Directions: The following essay assignment asks that
you to use information from two different sources to
discuss the most important concerns that relate to a
specifc issue. Allow 30 minutes to write your essay.
Assignment
Fossil fuels have come under fre due to their unsus-
tainability and the pollution they cause when burned.
As a result, alternative energy sources have been
explored and implemented. There are many types of
Source 1
alternative energy sources, including solar and wind.
Both of the following resources focus on the use of
solar power. The benefts and detriments of each are
explored. Each piece clearly refects the viewpoint of
its author.
Read the two passages carefully and then write
an essay in which you identify the most important
concerns regarding the issue and explain why they are
important. Your essay must draw on information
from both of the sources. In addition, you may draw
on your own experiences, observations, or reading.
Be sure to cite the sources whether you are paraphras-
ing or directly quoting.
Solar energy is the wave of the future. Individuals and businesses should be moving forward to imple- ment solar energy solutions for their energy needs. In an age when the practice of burning fossil fuels belches tremendous quantities of pollution into the atmosphere, solar power can provide for energy needs in a clean, environmentally friendly way. Of course, this is not the only advantage of solar power.
Unlike power that comes from the burning of fossil fuels, solar power is a renewable resource; it is a sustainable resource. There can be no life on Earth without the sun; as long as there is sun- light, the sun provides thermal energy. . . . Fossil fuels are not renewable. They can be depleted. Once this happens, they are no longer available to provide energy. The renewable, sustainable nature of solar energy is a major boon in supplying energy needs.
Some alternative methods of energy production, such as use of wind turbines, result in a great deal of noise, which is disturbing to those who live and work near the turbines. Noise is not an issue with solar energy. The thermal energy is collected from the sun’s heat through solar panels; this pro- cess does not create noise.
A major positive factor in use of solar energy is the cost. Use of solar energy does not result in bills that must be paid to an electricity provider. This means astounding savings! Additionally, living off of the grid, meaning “away from electricity sources,” means that energy can be obtained in places where the infrastructure to provide electricity has not been developed. . . . In addition to the savings from living off of the grid, rebates and other economic incentives are often available from state and local governments when consumers choose to use solar energy.
Utilizing solar energy is a positive experience in so many ways. It should definitely be the top contender for satisfying energy needs.
Adapted from: Ling, Andrea. Energy: Crisis, Solutions, and Counterpoints. Philadelphia: Pencil, Quill, and Scroll, 2014. 289–305. Web. Aug. 10, 2014.
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Source 2
Solar energy has been touted as the energy source that everyone should pursue; however, while it is not without some merit, solar energy has serious drawbacks. Proponents speak volumes regarding the tremendous savings of solar energy. The major fact they tend to omit, however, is the astro- nomical expense of installing solar panels, also known as “solar cells.”
A single solar cell can cost in excess of $1,500, and a single cell is generally not sufficient to serve the needs of an entire household or business. The price per cell rises for specific types of thin- film solar cells. . . . Installation fees must be added to these costs. And the idea that people can live “off of the grid” with solar panels is often a misnomer. Solar cells generally supply only a portion of the needs for a household or business, so there are still electricity bills to pay, albeit generally lower bills when solar cells are being used in addition to the electricity provided.
While it is true that local and federal governments often offer incentives for use of solar energy, they also often offer incentives for use of other energy types, some alternative and some traditional. . . . So, while there might be incentives when solar energy is used, there are also incentives with other types of energy sources.
Another major drawback of solar energy is its intermittent nature. Clearly, sunlight is required to catalyze solar energy. After the sun sets, there is no thermal energy being produced. It is impos- sible to accurately predict the number of cloudy days versus sunny days during a year. Of course, most consumers utilize the vast majority of energy during peak times of a hot day, so the corre- sponding nature of availability of solar energy is valuable. . . . Additionally, pollution can have a negative impact on productive use of solar energy, which adds to the intermittent nature of availability.
Proponents of solar energy often wax poetic about its pollution-free nature. Stating that solar energy is a completely pollution-free source is erroneous, however. Greenhouse gases might be emitted during production of some types of solar cells. Additionally, it is important to remember that the cells must be transported to locations of installation, and this transportation causes pollu- tion. Granted, this might be considered less serious than the pollution caused by the burning of fossil fuels; however, it is important to provide a balanced outlook on the subject. . . .
Adapted from: Salazar, Oscar. “The Truth about Solar Energy.” Energy Forecasting for Our Times. 15.1 (2013): 98–104. Web. Aug. 10, 2014.
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Praxis® Core Academic Skills for Educators:
Writing Practice Test 3 Answers and Explanations
1. c. The phrase very foolish enough is redundant. The adverb very could be used, or the adverb
enough could be used, but not both. In
choice a, the verb had agrees in person and
number with the subject they. The word
clearly in choice b is an adverb, the correct
part of speech to modify the verb lied. There
are no errors in the infnitive to trust in
choice d.
2. d. The word lose has been mistaken for the word loose. The word lose means being
unable to fnd, while the word loose means
without restraint. In choice a, statewide is a
correctly spelled adjective that modifes the
word laws. The relative pronoun in choice b,
that, is correct. The preposition from in
choice c is correct.
3. d. The verb sees represents a shift in tense. The verb visited (in the dependent clause) is in
the correct tense, the past tense, as indicated
by the phrase last summer. To avoid a shift in
tense, the verb in the independent clause
must also be in the past tense, so the correct
verb would be saw, rather than sees. The
phrase last summer indicates that the verbs
in the sentence must be in past tense. The
verb visited in choice a is in past tense. In
choice b, the word Japan identifes a country,
so it must be capitalized. The preposition,
modifers, and object of the preposition in
choice c have no errors.
4. b. The word children’s is possessive in the sen- tence, so it requires an apostrophe between
the letter n and the letter s. The introductory
clause in choice a is correctly punctuated by
a comma. The words in choice c are spelled
correctly, and no comma is required preced-
ing the word and, as it is not used to join two
independent clauses. In choice d the word
should does not create a shift from the word
would.
5. a. This sentence contains two independent clauses, so a semicolon, not a comma, is
required at the end of the frst independent
clause. There are no errors in the modifers
and the noun in choice b. The preposition
and its object are correct, and the word
occurrences is spelled correctly in choice c. In
choice d, the preposition and its object are
used correctly.
6. d. The meaning of the idiom saw eye to eye is “agreed with one another.” This idiom does
not make sense in the sentence, as the sen-
tence begins by stating that Midori and Pat
disagreed regarding every aspect of the proj-
ect. No comma is required between Midori
and Pat in choice a. The semicolon in choice
b correctly punctuates two independent
clauses. In choice c the pronoun they agrees
with Midori and Pat.
7. c. As originally written, the sentence lacks par- allel structure. The phrase large sums must
be revised so it is parallel with the phrase to
enjoy your job (e.g., to have large sums). In
choice a, the apostrophe in the word it’s is
correct. It’s is a contraction that means it is.
The modifers are correct in choice b and
there are no errors in the preposition and its
object in the prepositional phrase used in
choice d.
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8. a. International Palms Resort Youth Spelling Bee is a proper noun; all words in the proper
noun must be capitalized. In choice b, the
hyphenation for eighth-grade is correct, as
eighth-grade precedes the noun. The past-
tense verb won in choice c is parallel to the
past-tense verb watched. An apostrophe is
required to form the possessive in choice d.
The name of the spelling bee is not included
within this phrase, so capitalization of bee’s
is not required.
9. b. The pronoun they does not agree with the antecedent, which is event. The noun event is
singular, so the correct pronoun would be it
(singular), rather than they (plural), requir-
ing it showcases. The comma in choice a is
required, as it appears between two indepen-
dent clauses joined by and. The word surfng
is an adjective that is spelled and used cor-
rectly in choice c. The same is true for the
word local in choice d.
10. b. This modifer modifes the verb knew, so it must be an adverb (well), not an adjective
(good). The verb in choice a agrees with the
subject and is in the correct tense. In choice
c, the semicolon that appears before the con-
junction (however) and the comma that
appears after the conjunction are both cor-
rect punctuation. The verb thought (choice
d) has been correctly written in the past
tense. It is in the same tense as the verb
knew, which appears in the other indepen-
dent clause within the sentence.
11. c. As originally written, the sentence is a run- on. It contains two independent clauses. A
semicolon would be required to replace the
comma; alternatively, the original sentence
could be split into two separate sentences.
The word politely modifes the verb
applauded in choice a, telling how the audi-
ence applauded, so the adverb politely is cor-
rect. The word sick modifes the noun actor,
so the adjective sick is correct in choice b.
The use of the possessive pronoun his in
choice d is correct.
12. e. The sentence is free of errors. The noun designers is spelled correctly, and the plural
form is correct in choice a. The comma in
choice b is correctly placed, as the word and
joins two independent clauses. The relative
pronoun whose used in choice c is correct.
The comparative adjective in choice d, least,
is correct, as several designers are being
compared.
13. c. The semicolon should be deleted. The frst- year teachers in King Central School District
are is not a complete sentence. The adjective
frst-year must by hyphenated in choice a, as
it precedes the noun it modifes. In choice b
the name of the school district is a proper
noun, so all words must be capitalized. The
capitalization and commas in choice d are
correct.
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14. d. In this sentence, they is a vague pronoun. The pronoun they does not have a clear
antecedent. Who never answered? A store
cannot answer. Employees at a store can
answer, though, so the sentence could be
corrected in this way: The customer called the
store many times that day, but the employees
never answered. In choice a, the word cus-
tomer is spelled and used correctly. The
adjective many correctly modifes the noun
times in choice b. A comma is the correct
punctuation to separate two independent
clauses joined by the conjunction but, as
shown in choice c.
15. b. The word insure means “to make arrange- ments for compensation.” The phrase insure
against means “to protect someone from
something.” The word ensure means “to
make certain an event or condition will
occur or be met.” The word ensure would be
correct in this sentence. The word or is the
correct correlative conjunction to match the
word either in choice a. The preposition,
modifer, and object in choice c are all cor-
rect. The word company in choice d is spelled
and used correctly.
16. b. As originally written, the sentence contains a dangling modifer. When the underlined
part of the sentence is replaced by he
repeated the experiment, the pronoun he
cures the issue. With the revision offered in
choice c, the sentence still contains a dan-
gling modifer. If answer choice d included
only the pronoun he, but not the pronoun
me, it would be correct. The pronoun me is
in the objective case, not the subjective case.
Choice e is incorrect because the phrase their
experiments does not comport to the pro-
noun he in the preceding clause.
17. e. The clause which includes massage and yoga is a nonessential clause, so it must be set off
from the rest of the sentence by commas.
The information in this clause is not essen-
tial to an understanding of the sentence. If
the information in the clause were essential
to the understanding of the sentence, then
commas would not be required. In addition,
the verb includes agrees with the subject
medicine, so this answer choice is correct.
The clauses presented in choices a, b, and c
are nonessential clauses, so they must be set
off from the rest of the sentence by commas.
The information in these clauses is not
essential to the understanding of the sen-
tence. If the information in the clauses were
essential to the understanding of the sen-
tence, then commas would not be required.
Choice d is incorrect because while the
answer choice correctly includes commas to
set off the nonessential clause, the verb
include does not agree with the subject medi-
cine, so this answer choice is incorrect.
18. a. Grammar and usage in the sentence are cor- rect. Choices b, c, d, and e are incorrect
because they all contain double negatives.
19. b. This sentence makes it clear that the car hit the roadblock but did not damage the road-
block. Choice a is incorrect because the
antecedent of the pronoun it is unclear. Is it
the car that was not damaged? Is the road-
block that was not damaged? Based on the
construction of the sentence, it is not possi-
ble to make this determination. Choices c, d,
and e are incorrect for the same reasons as a.
Additionally, answer choice c includes a
comma to separate two independent clauses,
which creates a run-on, and the use of
although in answer choice d and even though
in choice e make the sentence even more
confusing.
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20. c. The words kind and intelligent are both adjectives, so use of the two adjectives pro-
vides parallel structure. Choices a, b, and e
are incorrect because they all lack parallel
structure, and choice d changes the meaning
of the original sentence.
21. e. The words aunt and grandfather are com- mon nouns; these words do not name a spe-
cifc aunt and a specifc grandfather, so the
words aunt and grandfather should not be
capitalized. Choices a, c, and d contain
errors in capitalization. The words aunt and
grandfather are common nouns; these words
do not name a specifc aunt and a specifc
grandfather, so neither of these words
should be capitalized. Choice b contains a
different error in capitalization. The word
my does not begin the sentence, so it should
not be capitalized.
22. e. The pronouns them and me are both in the objective case, as required for the object of a
pronoun. The direct object them in choice a
is in the correct case, the objective case, but
the pronoun I is in the subjective case, rather
than the objective case (me). Choice b is
incorrect because the pronouns are in the
subjective case (they and I), rather than the
objective case (them and me). While the pro-
noun me is in the correct case for the object
of a preposition, the word their is a posses-
sive pronoun, making choice c incorrect. As
in choice c, the word their in choice d is a
possessive pronoun, and the pronoun I is in
the subjective case, not the objective case, as
required for the object of a preposition.
23. d. This is a complete sentence. Choices a, b, c, and e are incorrect because none of them are
complete sentences.
24. c. The phrase past history is redundant, as the word history indicates a time in the past. The
word past has been deleted in this answer
choice, which cures the problem. Choices a
and b both contain the redundant phrase
past history, making them incorrect. Addi-
tionally, a comma is required after the intro-
ductory clause in choice b. This is also the
reason why choice d is incorrect. Choice e
mistakes the word passed for past, and even
if the word past (rather than passed) had
been included, the answer choice would still
be incorrect, as the phrase past history is
redundant.
25. d. The modifer on the train has been moved, so it is no longer misplaced. This sentence
makes it clear that the swimmer on the train
was explaining how to do the backstroke.
Choices a, b, and c all contain a misplaced
modifer (on the train). The swimmer is on
the train while explaining the backstroke;
the swimmer is not explaining a swimming
style to be used while on the train. Addition-
ally, in choices b and c, as well as choice e,
the verb does not agree with the subject.
26. a. The word gently is an adverb that tells how the therapist massaged the spine. The word
gentle in choice b is an adjective, so it would
be correct to describe the noun massage––a
gentle massage––but not the action of mas-
saging the spine. In choices c and d the verb
does not agree with the subject. While an
adverb (gently), rather than an adjective
(gentle) is included in choice e, the word
messaged is mistaken for the word massaged.
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27. a. The phrase not only appears in the frst clause, so but is the correct correlative pro-
noun in the second clause. Due to use of not
only and also, the correlative conjunctions
nor, or, and neither are incorrect in choices
b, c, and e. Choice d is incorrect because the
use of the phrase not only in the frst clause
and the word also in the second clause
requires a different correlative conjunction.
28. b. The noun in the subject, scientists, is plural. The noun in the predicate must agree with
the plural subject. The noun in the predi-
cate, coats, is plural, so it agrees with the plu-
ral subject. Choices a and c are incorrect
because the noun in the subject is plural.
The noun in the predicate must agree with
the plural subject. The noun in the predicate
does not agree with the plural subject. The
singular verb, takes, in choice d does not
agree with the plural subject, scientists.
Choice e is incorrect because the word scien-
tists in the sentence is not possessive, so the
apostrophe in the word is incorrect. Addi-
tionally, the noun in the predicate does not
agree with the noun in the subject.
29. a. The apostrophe in wouldn’t and the apostro- phe in hadn’t replace the letter o in the word
not. Apostrophes are required in the words
wouldn’t and hadn’t, making choices b, c,
and e incorrect. Additionally, the comma
should not have been inserted in choice d as
well as choice e.
30. d. This revision clarifes the sentence, as the vague pronoun they has been removed; the
vague pronoun they is replaced by the fow-
ers. This revision makes it clear that the
fowers will fourish. There is a more effec-
tive way to write the sentence, as the original
sentence contains the vague pronoun they. It
is not possible to tell whether they refers to
fower beds or to fowers. For this reason,
choices a, b, and c are incorrect. Addition-
ally, choice b creates a run-on sentence, and
choice c uses the pronoun it, which is incor-
rect in number, as it is singular; the two
nouns in the sentence, beds and fowers, are
plural. Choice e is incorrect. The verb has
been does not agree with the noun beds.
Additionally, addition of the word properties
changes the meaning of the sentence.
31. c. This is the correct answer. All of the words in the organization’s name––other than the
minor word of––must be capitalized, making
choices a, b, d, and e incorrect. Additionally,
the frst word of the sentence must always be
capitalized.
32. b. The adjectives good and nice (choice d) are vague and overused, but the adjective gor-
geous is much stronger. Choice c is incorrect
because the passage does not reference large
fower beds or gardens, so the adjective giant
does not make sense within the context of
the passage. The word gregarious (choice e)
means sociable; a garden would not be
described in this way.
33. e. A semicolon has been inserted to replace the comma. This cures the run-on issue and cre-
ates two complete sentences. Answer choices
b, c, and d all contain run-on sentences. A
comma must follow the introductory phrase
for example, and removing the comma
between essential and suffcient does not cure
the problem.
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34. b. This is the correct answer. The phrase descending down is redundant, making
choices c and d incorrect. The word descend-
ing means “proceeding in a downward direc-
tion.” Additionally, in choice c the word four
has been mistaken for the word fower and in
choice d the verb likes does not agree with
the subject gardeners. The word gardeners is
also a common noun, so capitalizing it as in
choice e is incorrect.
35. d. Selecting fowers that grow well in a region is not relevant to the paragraph’s main idea.
The paragraph focuses on information
about the deadheading process, and choices
a, b, c, and e all relate to that process.
36. d. The entire passage relates to planning and maintaining a garden, so this sentence sum-
marizes the information in the passage and
provides a strong conclusion. While the pas-
sage does reference the importance of guid-
ance, layout, sunlight, and water choices, a,
b, c, and e fail to summarize the ideas in the
passage and would not provide a strong
conclusion.
37. e. The abbreviation eds. and the location of the text Drummond, Analise M., and Johann
Small, eds. within the citation show that
there are two editors of the book. Choice a is
incorrect because the names Analise and
Johann are the frst names of the editors and
Georgia is part of the title of the book. There
is no indication within the citation that this
is a second edition, making choice b incor-
rect. The publishing house is located in
Mahwah, NJ, so choice c is incorrect. Choice
d is incorrect because if the text had been
published on the Web, the fnal word in the
citation would be Web, not Print.
38. a. The city needs additional income to repair roads and bridges, and this additional
income could come from an increase in the
city’s sales tax. Choices b, c, and e are not
clearly relevant to the opinion. This state-
ment in choice d undermines the opinion,
rather than supporting it.
39. b. A university’s nutrition studies are likely to be balanced and unbiased. A food manufac-
turer’s statements might be biased in an
effort to increase sales. The food manufac-
turer would have a vested interest in the
framing and dissemination of information;
therefore choice a is incorrect. The informa-
tion from a vegetable farmer (choice c)
would likely be narrow and would not be the
most relevant. Students’ opinions (choice d)
might not be based on fact and might not be
strongly supported. Such opinions could
easily be based simply on personal prefer-
ence, in which case the opinions would lack
credibility for the purpose of the project.
Choice e is incorrect because online articles
might provide information about the prob-
lems with junk food, but they would not
necessarily provide information about con-
suming a balanced diet.
40. e. The writing process generally proceeds in this order: brainstorming ideas, narrowing
ideas, creating an outline, writing a draft,
and writing at least one revision. Choices a,
b, c, and d are incorrect.
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Sample Responses for the Argumentative Essay
Sample Score 6 Response I agree that assault is a serious crime and is not to be
tolerated. It is a big step, however, to move from this
statement to the statement that a football team should
immediately and permanently remove a player accused
of assault or that people should stop attending games if
the team fails to do so. The key word to consider in this
statement is accused.
I have read many books and articles about crime,
and I have seen many news segments about people who
have been accused of crimes but who have been found
not guilty of having committed them. My aunt is a
prosecuting attorney, and she has told me that people do
sometimes fle charges in cases in which a person is
found to be not guilty. While it would be reasonable to
suspend a player while there is an investigation and a
trial regarding an assault, it would not be reasonable to
remove a player permanently. It is possible that the
player could be found not guilty or that the charges
against the player could be dismissed.
It is also important to consider the variety of peo-
ple other than players and team offcials who beneft
from football games. For example, people make incomes
from working in the parking lot, preparing and serving
food at the concession stands, maintaining the feld, and
cleaning after a game. When key players are removed
from teams, this can have a huge impact on the number
of people who attend the games. This in turn has an
impact on the incomes of the people who work at the
feld. My neighbor sells sweatshirts and other team
memorabilia at games, and she has told me that when
attendance drops, her income also drops, and she needs
her income to support her family. There is some risk in
every job, and if a player is convicted of assault and
removed, this is a risk the workers at the feld face. It’s
not fair, though, for the players to face this risk due to
just a charge without a conviction.
I agree that football is glorifed in our country.
Players are often looked upon almost as royalty, and
this can cause people to look the other way when a foot-
ball player does something wrong, but I think it is a
gross generalization to state that a player’s morals, eth-
ics, and common sense go out the window when the
player steps onto the feld. This might be true of some
players, but it is certainly not true of all players. Many
players show strong morals and ethics. Many are
devoted to their families and participate in community
service.
Like all people, football players must be looked
upon as individuals who prove their true moral fber
through their actions. Certainly, if a football player is
convicted of assault, then the player should be perma-
nently removed from the team and the league, but until
such a conviction, a permanent removal is unfair to the
player and to others who make their living in ways
related to football games.
About This Essay This powerful response begins by clearly stating the
writer’s position, sharply focusing on the word accused.
The essay continues with strong organization and sup-
port through reasons, details, and examples. After the
introduction, the writer provides details of books she
has read, as well as the example of an aunt who is a
prosecuting attorney; the writer shares the explanation
provided by her aunt, an explanation in which her
aunt told her about cases in which the accused was
found to be not guilty. The writer powerfully connects
this example to the possibility of a football player being
accused of assault but perhaps not being guilty.
The essay moves forward to discuss the impact
of removal of a key player on others who earn an
income through jobs related to football. This insight-
ful example provides a dimension that other writers
might not even consider, which elevates this essay’s
score. For support, the writer provides details related
to specifc types of jobs that could be affected, as well
as the example of someone the writer knows person-
ally. The writer also provides an insightful discussion
of income risk and whether this risk should be antici-
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pated simply due to an accusation. This again elevates
the level of the essay.
The writer continues by stating agreement with
the statement that football is glorifed in our country.
The writer connects this statement to the action of
offcials who look the other way when a player does
something wrong; however, the writer clearly notes
disagreement with the statement that a player’s mor-
als, ethics, and common sense go out the window
when the player steps onto the feld. The writer
insightfully points out that this statement is a gross
generalization, stating that many players are devoted
to family and community.
The writer concludes by stating that football
players are individuals and must be looked upon as
such. The writer restates the position frst asserted at
the beginning of the essay.
Throughout the essay, the writer offers strong
organization, as well as sentences of a variety of struc-
tures and lengths. This enhances the fow and read-
ability of the essay. This strong essay is free from
errors in mechanics, usage, and grammar. The power
of all of these elements unquestionably brings the
essay to a score of 6.
Sample Score 5 Response It is not really fair to permanently remove a player who
has been accused of assault, and it is not fair for fans to
stop attending games if the team fails to take action, so I
disagree with these parts of the prompt, but I do agree
that assault is serious, and I do agree that football is
glorifed in our country.
For many years, I have seen news reports and read
magazine articles detailing inexcusable behavior of
football players. These reports have included many
kinds of unacceptable behavior, including incidences of
assault, disorderly conduct, and conducting dog-fght-
ing rings. The football teams have generally looked in
the other direction and refused to punish these players.
I read that one football player was convicted of
conducting dog-fghting rings. He was unspeakably
cruel to these living creatures. Then he later became a
football player again. A major team put him back on
the feld. Violence is at the heart of so many of these
negative behaviors, and the violence is not acceptable.
This player should never have been allowed to begin
playing football again. Allowing him to do so sent a
strong message to others, the message that violence is
acceptable and should not have an impact on putting a
person in a position of great income and infuence. After
all, many adults and children alike look up to football
players as role models.
On the news, there have been videos of football
players assaulting their girlfriends, and this action is
rough and frightening. There have also recently been
reports of football offcials looking the other way when
these players do something wrong, just as there have
been such reports for many years. The players make a
great deal of money for the teams and for those associ-
ated with football, so the people in charge just look the
other way. This is not acceptable.
It is important for teams to stop looking the other
way when this type of behavior occurs. Action must be
taken to let players know that this kind of behavior will
no longer be tolerated. When the status quo continues,
when players are allowed to commit assaults and not
suffer consequences, it sadly makes sense that many
players will likely continue to engage in this behavior.
I do believe that a player charged with assault
should be temporarily suspended from play, but I think
this it is important for this suspension to be temporary
until such time as it is determined whether the player
actually committed the assault. At the company I work
for, a worker was charged with having taken money from
the company bank account for personal use. The worker
was fred, but it was discovered later that the worker had
not taken the money. The worker lost the job unfairly.
Of course, all of this said, I do not in any way con-
done assault, after a conviction, a player should def-
nately be removed from a team. It is important to let
these players know that that they cannot get away with
assaults, just because the players are of value to the
income of their teams. There should be a no-tolerance
policy for assault across the board––no matter how
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important a person seems to be to the public and no
matter how much money that person can generate for
self and for others. Still, a player should not be removed
permanently from play due to just an accusation.
About This Essay The writer opens by stating a position on each of the
key points of the prompt. The writer states disagree-
ment with the act of permanently removing players
accused of assault; the writer also states disagreement
with fans refusing to attend games if the team fails to
so remove the players. The writer states agreement,
however, that assault is serious and that football is
glorifed in our country. The ability to sort out por-
tions of the opinion expressed in the prompt is
important, and this writer has clearly demonstrated
the ability to do so.
After the introduction, the writer provides exam-
ples of players who have shown criminal behavior in
their actions, such as the player who was running a
dog-fghting ring. These examples are strong and pow-
erful; however, it isn’t until the writer has stated these
examples that the reader learns that the writer is using
these examples to support a position related to tempo-
rary suspension from play after an accusation of
assault. The writer’s ideas in the examples are powerful
and effective; however, they would be much more
effective if the writer had mentioned the position
regarding temporary suspension prior to providing
examples. As organized, this is a bit confusing, though
the reader can look back through the examples to con-
nect the ideas. A bit of change in organization here
would have helped to elevate the essay to a score of 6.
The writer concludes by strongly disavowing
any support of assault and again drawing a distinc-
tion between being accused of a crime and being con-
victed of a crime. This reinforces the position already
stated by the writer.
The essay provides a variety of sentence types
and lengths, though the effectiveness of the sentences
fails to rise to a level of consistency. Some of the sen-
tences are quite long, and a greater variety in length
would be much more effective.
There are a couple of errors in grammar,
mechanics, and usage, such as this run-on with a
spelling error: Of course, all of this said, I do not in
any way condone assault, after a conviction, a player
should defnately be removed from a team. With some
work in these areas, this essay could be brought up
to a score of 6.
Sample Score 4 Response I agree that people should refuse to go to a team’s games
if the team fails to immediately and permanently
remove a player who is accused of assault. When an
assault occurs, the situation must be treated swiftly. A
message must be sent right away that this kind of
behavior is not to be accepted by anyone. If the team
fails to do as it should. Then it is up to the fans to take
matters into their own hands.
Football has always been glorifed in our country,
and I believe that the glorifying of the sport has led to
inappropriate behavior being tolerated. There is a great
deal of money to be made based on football play, and
offcials might sometimes allow this income to cloud
their judgment. If this were not the case, then many
players would allready have been seriously dealt with
after committing assaults, and this has just not been the
case. I have read newspaper articles about players who
have committed assault and have then just been sus-
pended for a game or two.
In those situations, the offcials failed to act, but
the fans could have, and they should have. The fans
should not turn a blind eye. If the team fails to act, then
the fans must act. This will hit the offcials in the pock-
etbook, which will demand their attention.
It is sad that the pocketbook, rather than morals
and ethics, seems to be the cause of change. This does
not mean that all players’ morals, ethics, and common
sense go out the window when they step onto a football
feld, though. For some, it seems that this happens, but
it is certainly not the case for all.
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In conclusion, it is important to immediately and
permanently remove a player accused of assault, and if
a team fails to do so, people should refuse to attend the
team’s games. This will result in important changes that
need to happen.
About This Essay This essay shows competence. The writer opens by
stating the clear position that people should refuse to
go to games if a team fails to immediately and perma-
nently remove a player accused of assault. The writ-
er’s message in the opening paragraph shows the
writer’s belief that fans can exert power over teams
who fail to act appropriately.
There is control in the writer’s organization and
development of ideas. After the opening, the writer
goes on to discuss agreement with the statement that
football is glorifed in our country and that this has
led to inappropriate behavior being tolerated. The
writer mentions a brief example, but clearer and more
powerful reasons would have been more effective.
The writer continues by commenting on the
fans having an obligation to act, which would “hit
the offcials in their pocketbook.” Although this
point is connected to the writer’s position, elabora-
tion on the point could have brought this essay up
to a higher level.
As the essay goes on, it references morals and
ethics, stating that some players suffer from a lack of
morals and ethics but all players do not. This is a
cogent statement, but it lacks the details and exam-
ples to give it great power.
The essay concludes by reiterating the writer’s
position, but it fails to end with any great insight or
memorable statement for the reader.
Overall, the essay shows adequate use of language
and general control of grammar, usage, and mechan-
ics, but there are a few errors in these areas. For exam-
ple, it includes a sentence fragment: If the team fails to
do as it should. It also contains a spelling error: all-
ready. This word is often misspelled, so it is one the
writer should have studied prior to taking the exam.
Sample Score 3 Response The issue of assault is a serious one. And it is important
to take a serious look at it. Anyone commiting assault
should be punished, it doesn’t matter whether the
offender is a famous football player or someone unknown.
Should a football team remove a player accused of
assault? Where there is smoke, there is fre. If a person is
accused of assault, chances are that the person did com-
mit it. And the player might be able to get out of the
charge after it is fled, so it doesn’t make sense to wait
until the charge go all the way through the courts. I
know about these legal loopholes because my friend was
assaulted, but the person who committed the assault got
out of it because of a legal loophole. That just wasn’t
fair. Why was that person allowed to go free? There
should have been strong and swift punishment. Anyone
who thinks the legal system can fnd the truth is not
thinking clearly.
Football is glorifed in our country, but that is
okay. It should be glorifed. The players work hard. The
people associated with the teams work hard. We should
reward hard work. But glorifying football doesn’t mean
that players should be allowed to assault others. We
have to get a handle on this immediately. Assault is just
not okay.
About This Essay This essay displays some competence; however, it is
clearly fawed. It is limited in stating a position. It
opens by discussing the seriousness of assault, but it
does not state a position regarding the opinion
expressed in the prompt.
The essay also shows limited control in the
organization and development of ideas. In the second
paragraph, the reader is given an idea of the writer’s
position through this statement: Where there is smoke,
there is fre. Still, the writer does not clearly explain a
position, and the example provided by the writer
regarding the writer’s friend is relevant but not clear.
In the fnal paragraph, the writer does state a
position regarding whether football is glorifed, and it
provides a reason that relates to a reward for hard
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work, but this reason is not insightful or powerful. As
the essay concludes, the writer makes this statement:
Assault is just not okay. The prompt does not focus on
whether assault is okay, so the writer is digressing in
the conclusion.
This essay displays an accumulation of errors in
the use of language and in mechanics, grammar, and
usage. For example, the frst paragraph contains this
run-on with a spelling error: Anyone commiting assault
should be punished, it doesn’t matter whether the
offender is a famous football player or someone
unknown. Additionally, there is an error in subject-
verb agreement in this phrase: so it doesn’t make sense
to wait until the charge go all the way through the courts.
Sample Score 2 Response Should a team remove a player who is accused of
assault? Should fans stop going to games? Who knows if
the player really did it? Why should the player lose a job
over something that mite not be true.
And I don’t know why people complain that football
is glorifed. Its been part of country for so many years. It
gives entertainment, and it makes money for lots of peo-
ple. Its ok to glorify something that does that much good.
Assault is bad. Assault is a terrible thing. No one
should put up with it, no one should have to go through
it. And anyone who assaults someone else should be
punished. But just because someone is accused of
assault. This doesn’t mean the person actually did it.
About This Essay This essay is seriously fawed. It states no clear posi-
tion, and it displays weak organization. It offers inad-
equate reasons, examples, and details for support,
and it is riddled with errors in usage, mechanics, and
grammar. The essay opens with a string of questions,
one of which is incorrectly punctuated and contains a
spelling error: Why should the player lose a job over
something that mite not be true. This is confusing for
the reader and shows a lack of organization.
In the second paragraph, the writer mentions
the glorifcation of football and makes statements
about football making money for lots of people. The
paragraph references football as something that does
that much good. This is unclear and offers a lack of
support. Additionally, this paragraph contains errors
in Its and ok.
As the essay concludes, it makes this statement:
Assault is bad. The paragraph goes on to state that no
one should put up with it and that no one should
have to go through it. This doesn’t relate to whether
players should be removed immediately and perma-
nently, as stated in the prompt. The fnal paragraph
also includes a run-on and a fragment: No one should
put up with it, no one should have to go through it. But
just because someone is accused of assault.
Sample Score 1 Response Yes. Do remove these palyers. And fans should stop going
to games. Who do those plyers think they are? They can’t
get away with this. They can’t behave this way.
I’ve seen peepul on tv who have been assaulted.
They look scared, they look terribul. No one else is sup-
posed to do this. Why can football palyers do it? The
teams should take them out of the sport right away.
Teams should keep others safe, and they shud show that
assault is not ok. Better for the future.
About This Essay This essay contains serious and persistent writing
errors. It is incoherent. The reader cannot determine
a true position. Examples, reasons, and details are
sorely lacking, and this essay has errors in usage,
grammar, spelling, and mechanics throughout its
content. The writer opens by making this statement:
Do remove these palyers. It’s not clear exactly what the
writer means here. The writer seems to be very emo-
tional, as is clear through the following questions.
Who do those plyers think they are? They can’t get away
with this. They can’t behave this way. This emotion,
however, drowns out rational statements the writer
might have made to relate to the prompt.
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Sample Responses for the Source-Based Essay
Sample Score 6 Response Issues related to solar energy focus on renewability and
sustainability, availability, environmentally friendly
nature, and cost, as well as intermittent nature and
noise. In Andrea Ling’s piece, she wholeheartedly sup-
ports solar energy: “Solar energy is the wave of the
future” (Energy: Crisis, Solutions, and Counter-
points). She begins by discussing the environmentally
friendly nature of solar power, as compared to the pol-
lution caused by burning fossil fuels. Ling further dif-
ferentiates solar power from energy that comes from
fossil fuels. Fossil fuels are not renewable; however, solar
energy is a renewable resource (Ling).
Ling discusses the quiet nature of capturing and
utilizing solar energy. This process does not create the
noise that comes from the use of wind turbines (Ling).
As Ling discusses cost and availability of energy,
she explains that solar energy can be made available in
locations where other forms of energy would be too
costly to develop. She provides the example of the vast
infrastructure required to lay a grid for electricity. Inso-
far as cost, Ling points out that use of solar energy
means no bills from an electricity provider. She goes on
to mention government rebates and other economic
incentives.
While Ling does make many good points, it is
interesting to note the irony in the title of her book:
Energy: Crisis, Solutions, and Counterpoints. Ling so
avidly promotes solar energy that she fails to discuss the
complexities of use of this energy source, complexities
that necessarily indicate counterpoints to her position.
In “The Truth about Solar Energy,” Oscar Salazar
cogently raises a number of these counterpoints. Ling’s
position would have been much stronger if she had
acknowledged and addressed each of these.
Salazar elaborates on the postured inexpensive
nature of solar panels. The solar panels, also known as
“solar cells,” can cost more than $1,500 each, and one is
generally not enough. There are installation fees to con-
tend with––in addition to the costs of the cells (Sala-
zar).
Insofar as a lack of electricity bills is concerned,
Salazar points out that solar cells alone generally do not
supply suffcient energy, so electricity bills, even though
somewhat decreased, will remain in play. Salazar’s
credibility is bolstered by his acknowledgment that the
electricity bills will likely be decreased due to the use of
solar energy.
Salazar discusses the intermittent nature of solar
energy, a fact overlooked by Ling, and Salazar also
points out that obtaining solar energy does not occur
without a pollution cost. Greenhouse gases might be
emitted during production of solar cells, and pollution
arises as cells are transported (Salazar).
Ling’s position and Salazar’s are at odds with one
another; however, both raise interesting points. Sala-
zar’s are presented through a more balanced approach
and so are more credible. Still, both authors make excel-
lent points about the use of solar energy, and when ana-
lyzed together, these authors’ pieces provide foundations
from which readers can draw reasonable and valuable
conclusions.
About This Essay This essay demonstrates a high degree of competence.
The writer opens by clearly elucidating the issues and
their importance. The writer provides well-chosen
reasons and examples and also offers powerful
insight, which raises this essay to a score of 6. After
discussing the position of Andrea Ling regarding
solar energy, the writer points out the irony in the
title of Ling’s book, which includes the word Counter-
points. The writer is quick to note that Ling fails to
provide and address counterpoints to her position,
and the writer explains that doing so would have
made Ling’s position stronger.
The writer’s insight continues as the writer
points out Salazar’s mention of a decrease––while not
a total lack––of electricity costs with use of solar pan-
els. The writer notes the bolstered credibility that
Salazar garners through this balanced approach.
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The writer organizes and develops ideas logi-
cally, beginning with a statement of the issue, con-
tinuing with specifcs of Ling’s position, and then
addressing specifcs of Salazar’s position. Throughout
these paragraphs, the writer weaves comments
regarding the credibility of each of the authors. The
writer concludes by acknowledging that both authors
make valid points, while one author appears more
credible than the other.
Throughout the essay, the writer offers great
variety in sentence structure and length. The writer’s
development, organization, support, incorporation
of links between the two sources, as well as proper
citation when paraphrasing and quoting––in addi-
tion to the absence of errors in mechanics, usage, or
grammar––easily warrant a score of 6.
Sample Score 5 Response Primary issues related to solar energy focus on the avail-
ability and sustainability of this resource, as well as the
expense, noise, and pollution linked to use of energy
sources. As Andrea Ling points out, solar energy is
renewable and does not result in the pollution caused by
fossil fuels (Energy: Crisis, Solutions, and Counter-
points). Oscar Salazar is quick to point out, however,
that solar energy has its own pollution costs, including
possible greenhouse gases emitted during production
and pollution that occurs through transportation of
solar energy equipment (“The Truth about Solar
Energy”).
Ling discusses the distinction between quiet solar
energy and the noisy alternative methods of energy pro-
duction, such as wind turbines. This point is not
addressed in Salazar’s piece.
Ling discusses availability and cost of solar energy,
explaining that solar energy can be provided in loca-
tions where traditional energy sources, such as electric-
ity, are not available. This ties into her discussion of
cost, as it would be too costly to provide the infrastruc-
ture for an electric grid in many locations. This point is
not discussed in Salazar’s piece.
In locations where electricity is available, solar
energy can result in savings from living off of the grid,
meaning “away from energy sources” (Ling). Salazar is
quick to point out, though, that solar energy generally
does not meet all the energy needs of a consumer, so
having solar energy does not necessarily mean eliminat-
ing costs of electricity.
Ling points out that “rebates and other economic
incentives area often available from state and local gov-
ernments when consumers choose to use solar energy.”
Salazar makes his own point in this regard, he explains
that local and federal offcials often offer incentives for a
variety of types of energy. Salazar also discusses a major
negative aspect of solar energy, an aspect that Ling does
not mention. Salazar points out the intermittent nature
of solar energy, explaining that solar energy is generated
only while the sun shines.
In conclusion. Ling and Salazar have very differ-
ent viewpoints regarding solar energy. Aspects of both
should be carefully considered by anyone studying
energy sources or considering alternative energy sources.
About This Essay Although this essay shows clear competence, it
includes minor errors. The essay begins by explaining
important issues. It incorporates information from
both sources to identify and explain important con-
cerns regarding solar energy. The ideas are organized
and developed clearly. The writer presents informa-
tion in a position-rebuttal format, frst explaining
Ling’s position regarding a specifc point and then
immediately addressing Salazar’s statements that
rebut or clarify the point. This organizational struc-
ture is quite effective and allows the reader to clearly
see how the two pieces relate to one another. The
writer also addresses points that are covered in only
one of the two pieces.
The writer does a very strong job of supporting
points with examples and details from each of the
pieces, for example: In locations where electricity is
available, solar energy can result in savings from living
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off of the grid, meaning “away from energy sources”
(Ling). Salazar is quick to point out, though, that solar
energy generally does not meet all the energy needs of a
consumer, so having solar energy does not necessarily
mean eliminating costs of electricity.
Though it is true that the writer does a good job
of linking the pieces and distinguishing between the
two authors’ positions in regard to specifc points, the
writer does not provide powerful insight and analysis
regarding the positions of the authors. Had the writer
done so, this piece would likely have been elevated to
a score of 6.
Some sentence variety is demonstrated by the
writer; however, the essay would have been stronger
with greater variety. Both sources are cited by the
writer when the writer paraphrases and quotes, and
the essay is generally free from errors in grammar,
usage, and mechanics, although the essay includes a
fragment (In conclusion.) and a run-on (Salazar
makes his own point in this regard, he explains that
local and federal offcials often offer incentives for a
variety of types of energy.).
Sample Score 4 Response There are many kinds of energy sources. Many people
use electricity as an energy source for they’re homes and
businesses. Solar energy is an alternative type of energy
that is being used. It is important to fne alternative
energy sources, as fossil fuels are being burned and are
not renewble. Once they are depleted, they are gone for-
ever (Energy Crisis, Solutions, and Counterpoints).
“Solar energy is the wave of the future.” This is
what authur Andrea Ling believes. She believes that
people should be using solar energy. She explains that
solar power does not cause pollution. She also explains
that solar energy is renewable.
Wind turbines is noisy, but solar power is quiet
(Ling). This is a big advantage of solar power.
Solar power does not cost as much as electricity,
and it can be easyer to get solar power than electricity in
areas that are out in the middle of nowhere (Ling). It is
also much less expensive to have solar power than elec-
tricity. This is what Ling says. Ling also says that the
government might give money to people who decide to
use solar power.
Oscar Salazar has different ideas (“The Truth
about Solar Energy”). He says that there is pollution
from solar power. He says that there is pollution when
solar cells are made, he says that solar cells have to be
driven to places, and there is pollution during the trans-
portation.
Salazar also writes about the cost of solar power.
He mentions the high cost of the solar cells. He men-
tions the hi cost of installation. He also mentioned that
the government might give money to people for using
many types of power.
Salazar writes about some things that Ling does
not mention. He writes about the intermittent nature of
solar energy. He says that solar energy is produced only
when the sun is shinning, so it is not being produced all
the time.
Ling says that solar energy is the wave of the
future, but Salazar says it is important to have a bal-
anced viewpoint.
About This Essay This essay adequately explains why the concerns are
important, mentioning the issues of renewable
resources, cost, noise, and intermittent availability of
solar power. Even though adequate reasons are pro-
vided, these reasons are not powerful, and while some
links between the sources are offered, these links are
more regurgitation of statements in each article than
cogent reasons that support specifc positions.
The writer does show control in the organiza-
tion and development of ideas, beginning by men-
tioning issues, continuing by mentioning some of
Ling’s points, and then mentioning some of Salazar’s
points. Overall, the writer does not include the depth
of reasons, details, and examples that would be pres-
ent in an essay warranting a higher score.
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The essay displays adequate use of language and
shows some control of grammar, usage, and mechan-
ics, though there are a number errors. For example,
the third paragraph contains an error in subject-verb
agreement: Wind turbines is noisy, but solar power is
quiet. The ffth paragraph contains a run-on: He says
that there is pollution from solar power. He says that
there is pollution when solar cells are made, he says that
solar cells have to be driven to places, and there is pollu-
tion during the transportation. The sixth paragraph
contains a tense shift: He mentions the high cost of the
solar cells. He mentions the hi cost of installation. He
also mentioned that the government might give money
to people for using many types of power. There are
many spelling errors throughout the essay.
Sample Score 3 Response No, solar energy is not the answer to problems with
energy, it costs a lot. It has to be put in. The govurment
could offer money for this kind of energy. The govument
couldd offer money for many other kinds of energy too.
(“The Truth about Solar Eenrgy”) But if you use solar
energy. You could be using less electricity. (Salazar)
Solar energy is intermit. Sometimes you have it,
sometimes you dont. This is a problem. You mite need
it. But you mite not have it when you do. Even if you
have solar energy, if there is pollution, your solar energy
might not work as well. (Salazar)
Speaking of pollution, some people say there is no
pollution form solar energy. This is not true. There can
be pollution when solar cells are made. There is pollu-
tion when solar panels are driven to places. (Salazar)
About This Essay This essay demonstrates some competence, but it is
obviously fawed. The essay is limited in explaining
why the concerns are important. While the essay
mentions solar energy, it does not discuss clear rea-
sons for the importance of considerations regarding
solar energy. Only one source, the Salazar source, is
mentioned, and the reasons included in the essay are
inadequate.
Still, the writer does explain that solar energy is
expensive to install and that use of solar energy could
mean use of less electricity. The writer also manages
to explain, albeit weakly, the intermittent nature of
solar energy, and the writer does make the point that
solar energy might not be as effective when utilized
during a time of pollution. The writer does also
weakly make the point that pollution can be caused
when solar cells are produced and transported. Thus,
there is a small amount of merit gained for the points
made, but there is only a small amount of merit, due
to the weak manner in which the essay is written.
The writer demonstrates limited control in the
organization and development of ideas, offering
vague references to issues related to solar energy but
clarifying none of them. The essay contains an accu-
mulation of errors in the use of language and in
grammar, usage, and mechanics. For example, the
writer confuses the words might and mite. The writer
omits the apostrophe in the word don’t, and the
writer begins the essay with a run-on.
Sample Score 2 Response We need solar energy, it is a wave. It is for the future. It
is important. It is clean. You don’t have to burn things
to get it. It doesnt pollute. Fosil fuels end, solar energy
does not. Best idea ever.
Wind turbines are noisy. Solar energy is not. Solar
energy is not expensive. Very cheap. People near wind
turbines here the noise. Thermal energy comes from the
sun, you can have solar energy in many places.
It is positive to have solar energy. You can save off
of a grid. The goverment can give you money if you do.
It is a good idee to use solar energy. It is sumthing ever-
won should do. “It should derinately be the top con-
tender for satisfing energy needs.”
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About This Essay This essay is seriously fawed. It fails to clearly explain
why specifc issues related to solar energy are impor-
tant. Instead, it appears to interject intended, but
confused, restatements of content in the Ling piece,
statements that often do not belong together and do
not make sense in the order in which they are stated.
Only one source, the Ling source, is utilized, and it is
utilized quite weakly; there are no citations, and when
a quote (the fnal sentence in the essay) is pulled from
a source, it contains misspelled words. The organiza-
tion is weak, and there is very little development.
The essay contains frequent serious errors in the
use of language and in grammar, usage, and mechan-
ics. There are many run-ons, fragments, and spelling
errors.
Sample Score 1 Response Power. Something we all need. Can come from sunlight.
Can be expensive. But does not pollute, does not need
electricity.
Sunny days gives more energie. Wind gives energy
to. Neither one comes from fossils. Have to make “solar
cells.” Have to drive to get “solar cells” where their going.
Solar cells sometimes works, sometimes doesn’t.
About This Essay This essay demonstrates fundamental defciencies in
writing skills. Although it vaguely references aspects
of the topic, such as power, sunlight, wind power,
and fossils, the essay is underdeveloped and almost
incoherent. It is flled with serious and persistent
writing errors, such as run-ons, spelling errors, lack
of subject-verb agreement, and fragments.
Praxis® Core Academic Skills for Educators:
Mathematics Practice Test 3
Time: 85 Minutes
Directions: Choose the best answer to each of the
following questions.
1. Using the following diagram, fnd the length in inches of the arc subtended by the angle 240°.
2. Which number is a multiple of 126? a. 14
b. 63
c. 200
d. 326
e. 630
262262
263263
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3. Cynthia works 35 hours a week selling tennis equipment. She earns a base salary of $10 per
hour and a 10% commission on her weekly
sales. Cynthia wants to earn $700 before taxes
each week. What is the total dollar value of
sales she needs to have in order to reach that
goal?
a. $3,500
b. $7,000
c. $10,500
d. $14,000
e. $35,000
4. Ecologists are trying to determine what per- centage of the fsh population in a certain bay
is infected with a new virus. They decide to rely
on sampling to make their conclusion. Which
of the following approaches is/are valid?
I. Choose two fsh at random from the bay
and assess if they have the virus. Based
on this information, conclude one of
three things: The entire bay is infected,
half the fsh are infected, or none is
infected.
II. Choose a fsh at random from the bay
and determine if it has the virus. Throw
it back into the water, and repeat the
procedure 49 times. Use the percentage
of the fsh identifed as having the virus
as an estimate of the percentage of fsh
that have the virus in the bay overall.
III. Send out 20 boats to different parts of
the bay. At the same time, each boat
selects 30 fsh, determines the number
of fsh that are infected, and releases the
fsh back into the bay. Then tally how
many of the 600 fsh are infected,
compute the percentage, and use this as
an estimate of the percentage of the fsh
population in the bay overall that is
infected.
a. I only
b. II only
c. III only
d. II and III only
e. I, II, and III
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5. A ladder is leaning against the side of a house. The top of the ladder rests on the house at a
point 7 feet above the ground, and the bottom
of the ladder forms an angle of 45° with the
ground, as shown:
What is the approximate length, l, of the
ladder?
a. 4 feet
b. 7 feet
c. 9.9 feet
d. 12.1 feet
e. 14 feet
6. Find the value of x in this equation: __ x –4 = –5 + x __20 a. – 3
b. 4
c. 5
d. 15
e. no solution
7. Choose the answer that is equivalent to √600. a. 10√6 b. 6√10 c. 60
d. 10√60 e. 60√10
8. Your new house sits on a plot of land that is about one acre in size. There is a fence around
the perimeter of the property, and you’re curi-
ous how long the fence is. Which of the follow-
ing would be the best unit of measurement to
use when estimating the length of the fence?
a. millimeters
b. inches
c. feet
d. miles
e. kilometers
9. Consider the function f(x) = 12. What is the value of f(p2) in inches?
10. This dot plot shows the number of Dean’s Scholarship awardees in the senior class at a
university from 2008 through 2014. Each
dot represents 10 awardees.
Select all of the correct statements for the
seven-year period shown.
a. The number of Dean’s Scholarship awardees
decreased steadily.
b. 260 Dean’s Scholarships were awarded.
c. The dot plot is not symmetrical.
d. The mode number of scholarships awarded
annually is 20.
e. The mean number of scholarships awarded
annually is 37.
264264
265265
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11. One brand of orange juice is sold in different sizes at a supermarket. Which size is the best
deal based on the per-ounce price of juice?
a. 24-ounce bottle for $1.72
b. 18-ounce bottle for $1.35
c. 6-ounce carton for $0.47
d. 32-ounce jug for $2.91
e. 8-ounce carton for $1.00
12. A closet shelf holds a collection of T-shirts: 7 purple, 4 blue, and 9 black. What is the prob-
ability of randomly selecting a T-shirt that is
NOT purple from the shelf? __4 a. 20 __7b. 20 __9 c. 20 __13d. 20
e. 1
13. When building a model of the Titan 34D rocket, a model maker uses a scale of 0.6 inch
for every 7.9 feet of the full-size device. If
the length of a full-size Titan 34D rocket is
90.4 feet, what is the length of the model?
Round your answer to the nearest hundredth
of an inch.
14. Which of these scatterplots show(s) a positive trend? Choose all of the correct graphs.
a. Y
Yb.
c. Y
Yd.
e. Y
X
X
X
X
X
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15. Which of the following is NOT equal to a whole number?
__2 __28 a. 5 – 3 6
b. 1.1 × 0.1 __7 __3 c. 1 ÷8 8
d. 16 × 0.5 __3 e. 200% of 2
__3 __1 416. Let s(x) = – 2x2 + 4 and r(x) = 5x2 – 10x .2 3 x Which of the following is equivalent to
__16s(x) – 5 r(x)?
a. –11x2 + 9 __31b. 3 x
4 – 3x2 + 9
c. 4x4 – 13x2 + 9
d. 4x4 – 13x2
e. –4x4 + 13x2 – 9
17. What is the solution of this system of equations?
−–x + 3y = –4
–x + y = 6
a. x = 6, y = 12
b. x = 1, y = 2
c. x = 1, y = –1
d. x = –11, y = –5
e. no solution
⎧ ⎨ ⎩
18. What is the area of the shaded region of circle Q?
a. __p 2 square inches
b. 3 square inches
c. p square inches d. 3p square inches e. 4p square inches
19. Suppose that a random variable x has the fol- lowing probability distribution:
x –2 –1 0 1 2
P(X = x) 1__ 8
1__ 8
1__ 8
1__ 8
1__ 2
What is the expected value of X?
a. –2
b. 0 __3 c. 4
d. 1
e. 2
266266
267267
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__320. Henry spends of his free time each week8 __4 reading. Of this amount of time, he spends 9
of it reading comic books. What fraction of his
weekly free time does Henry spend NOT read-
ing comic books?
21. Consider the intersecting graphs shown. To which of the following equations are the
x-coordinates of the points of intersection
the solutions?
Y
(3,6)
X
y = 1 – x2
2a. 1 – x = x
b. x2 – 2x = 0
c. x2 + x = 0
d. x2 + 2x – 1 = 0
e. 1 – x2 = 0
22. If x = √3200, which of the following inequalities is true?
a. 2 < x < 4
b. 3 < x < 5
c. 6 < x < 6.5
d. 4.5 < x < 5.5
e. 5 < x < 6
23. What type of transformation was used to map quadrilateral WXYZ onto the image W'X'Y'Z'?
Y W'
X'Z
W Y'
X Z'
a. rotation
b. refection
c. translation
d. translation followed by refection
e. translation followed by rotation
24. Which of these is equivalent to –3x(x2 – 3x – 2)? a. –3x2 – 3x – 2
b. x2 – 6x – 2
c. 3x3 – 9x2 – 6x
d. –3x3 + 9x2 + 6x
e. –3x2 + 9x + 6
25. Let y = f(x) be a given function and suppose the point P(2,–3) lies on its graph. Consider the
translation of this function given by
g(x) = f(x + 4) – 1. What point would point P
correspond to on the graph of g(x)?
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26. Consider the set whose members are these geo- metric fgures:
R S T
U V
If a fgure is selected at random, what is the
probability of selecting a parallelogram?
a. 0 __1b. 5 __2 c. 5 __3d. 5
e. 1
27. A bike ramp is a right triangular prism with the dimensions shown:
6 ft. 20 ft.
8 ft.
What is its total surface area?
a. 368 ft.2
b. 408 ft.2
c. 480 ft.2
d. 504 ft.2
e. 528 ft.2
28. Which of the following statements is/are true? Select all of the correct statements.
a. An irrational number cannot be negative.
b. The difference of two rational numbers can
be an irrational number.
c. The product of a rational number and an
irrational number can be a rational number.
d. The sum of an irrational number and a
rational number must be an irrational
number.
e. The product of two irrational numbers must
be an irrational number.
29. Suppose you spend $903 on a onetime cost for materials necessary to start a snow removal
business. For each driveway you clear of snow,
you earn $40, but it costs $5.25 in gas for each
job. Determine the number of driveways you
must clear order to break even.
a. 20
b. 25
c. 26
d. 52
e. 23
30. The length of a single lap at a university’s pool is 200 feet. How many laps would you need to
swim to swim a distance of 2.2 miles? Round
your answer to the nearest lap. Note that 1 mile
equals 5,280 feet.
268268
269269
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31. Which of the following is an equation for this quadratic function?
a. f(x) = –3(x – 2)2 + 3
b. f(x) = 3(x + 2)2 + 3
c. f(x) = –3(x + 2)2 – 3
d. f(x) = –3(x + 2)2 + 3
e. f(x) = –3(x + 3)2 + 2
32. Zelda, an event planner, is using a new catering hall for the frst time. The catering hall is
45,000 square feet in area. For guests to be
comfortable, her rule of thumb is to not exceed
a population density of 0.03 people per square
foot. What is the maximum number of people
she thinks should occupy the new space?
a. 135
b. 450
c. 1,350
d. 4,500
e. 45,000
33. What is the most reasonable correlation coeff- cient for the data set depicted by this
scatterplot?
Y
X
a. –0.91
b. –0.59
c. 0.10
d. 0.60
e. 0.95
34. In 2014, the yearly average birth rate in China is 12.17 births for every 1,000 people. The pop-
ulation of China is 1.357 billion. Determine
how many births are expected in one year.
35. Consider the function f(x) = |x – h| + k, where h and k represent real numbers. Select all of the
following pairs of (h,k) for which the graph of
f(x) is obtained by translating the graph of
g(x) = |x| left by at least 3 units and up by at
least 5 units.
a. h = 4, k = 5
b. h = –4, k = 5
c. h = –4, k = 7
d. h = –4, k = –8
e. h = –6, k = –6
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36. A rectangle is divided into six congruent squares, as shown:
If the area of one of the squares is 9 square
units, what is the perimeter of the rectangle?
a. 15 units
b. 24 units
c. 30 units
d. 36 units
e. 72 units
37. Which of these is equivalent to √(38 + 11)(60 – 11)? a. 7
b. 14
c. 49
d. 343
e. 2,401
38. Which of the following collections of data has/ have a mean of 44 and a variance of 0?
I. 44, 44, 44, 44, 44, 44
II. 44, 44, 0, 44, 44
III. –44, –44, –44, 176, 176
a. I only
b. II only
c. III only
d. I and II
e. I, II, and III
270270
271271
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39. Consider the data set {–4, –5, –4, –4, –2, –2, 5, d. 5, 5, 5, 6, 9}. Which of the following distribu-
tions best indicates the general shape of this
data set?
a.
e.
b.
40. Which of the following lines could have an equation of the form ax + 3y = 0, where a > 0?
Select all of the correct responses.
c.
a. line A
b. line B
c. line C
d. line D
e. line E
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______
______
______ ______
____
______
_______
3 a 4__ ____ __ 241. If ÷ = 3 , then a = ________.4 a + 1 __49 a. 81 __7b. 9 __9 c. 7 __81d. 49 __18 e. 7
42. Consider the set of whole numbers {8, 16, 24, 32}. Select all of the true statements.
a. They are all prime numbers.
b. All of the numbers are divisible by 4.
c. None of the numbers is odd.
d. All of the numbers are multiples of 8.
e. All of the numbers are factors of 8.
43. Consider the triangle DABC with vertices A(–11,3), B(–11,14), and C(–21,5). If DABC is refected over the line x = 2, what are the coor-
dinates of the image of vertex B?
a. (–11,–10)
b. (15,14)
c. (14,–11)
d. (15,27)
e. (–14,11)
44. Which of the following is/are equivalent to __2 – 4x x
? Select all of the correct expressions. __1 x
a. 2 – 4x 1b. 22 – 4x
c. 4x2 – 2 22 – 4x
x d.
__1 x
2e. 2 – 4x
45. What is the solution to the following equation? 5 ln(t + 4) = 5
a. – 4
b. e – 4
c. 1 __ ed. 4
e. 4e
46. The height of the right circular cone shown is twice the diameter of the base. If the diameter
of the base of the cone is 20 inches, what is its
volume?
a. 4,000p in.3
b. 4003 p in.3
4,000pc. 3 in. 3
16,000pd. 3 in. 3
e. 40p in.3
272272
273273
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_____
47. At the turnpike tollbooth, the cashier-in-train- ing, Meredith, handles fewer than one-third of
the customers handled by two of the more
experienced cashiers, Chris and Dana, com-
bined. Assume that M represents the number
of customers Meredith handles in a typical day,
C represents the number Chris can handle in a
typical day, and D represents the number Dana
can handle in a typical day. Which of the fol-
lowing expressions correctly describes the rela-
tionship among M, C, and D? __1 a. D + C > 3 M
b. C + D + M > 3
c. M > 3(C + D) __1d. M < 3 DC
e. C + D > 3M
48. Segments JK and LK are radii of the circle. Each has a length of 8 cm. If the length of the
arc extending from J to L is 2p feet, what is the value of x?
L
J Kx°
a. 22.5°
b. 45°
c. 60°
d. 90°
e. 180°
49. The following shows the weight distribution in the average adult. The total average body
weight is 75,000 grams.
ELEMENTS OF WEIGHT THE BODY (IN GRAMS)
muscle mass 25,000 water 19,400 skeleton 12,000 blood 6,000 gastrointestinal tract 2,200 liver 1,800 brain 1,400 lungs 1,100
If the weight of a specifc adult male’s muscle
mass is represented as m grams, which of the
following expressions represents his total body
weight B?
a. B = 75,000m
b. B = 3m __1 c. B = 3 m
d. B = 30m
e. B = 75,000m – 25,000
50. Assume that a and b are positive integers. Which of the following statements is/are
always true? __1I. is less than b.b _____ a + b 2aII. equals when a equals b.2b b + a __ a __ bIII. b is greater than a .
a. I only
b. II only
c. I and III only
d. II and III only
e. I and II only
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51. What is the solution of this equation? –2(3x – 2) = 4[8 – (2x – 1)]
a. –8.5
b. 17
c. 32
d. 34
e. 68
52. Consider the following data set, where x is a positive integer:
{x + 2, x + 4, x – 4, x – 3, x + 6}
Which of the following statements is/are true?
I. The mode is x – 4.
II. The median is x + 2.
III. The mean is x + 1.
a. II only
b. III only
c. I and II only
d. II and III only
e. I, II, and III
53. A video game studio is considering two differ- ent promotions for its upcoming new release,
as follows:
Promotion X: The frst 10,000 copies sold
will include a code to download
additional content worth $49.99. It is
estimated that 40% of those receiving this
offer will take advantage of it.
Promotion Y: The frst 25,000 copies sold
will include a code to download
additional content worth $29.99. It is
estimated that 30% of those receiving this
offer will take advantage of it.
Overall, the company expects to sell a total of
500,000 copies of this game for $69.99 each.
Select all of the true statements.
a. The cost of promotion X would be about
$0.40 per game sold.
b. The cost of promotion Y would be about
$0.45 per game sold.
c. The total cost of promotion Y would be
$749,750.
d. Promotion Y is more proftable than
promotion X.
e. Promotion X is more proftable than
promotion Y.
54. The low temperature in Tucson on Tuesday was 11°F warmer than on Monday. Wednes-
day’s low temperature was 5°F cooler than
Tuesday’s low temperature. Thursday’s was 9°F
warmer than Wednesday’s low temperature.
The average low temperature for these four
days was 87°F. What was the low temperature
on Tuesday?
a. 94°F
b. 90°F
c. 85°F
d. 79°F
e. 70°F
274274
275275
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___
___
55. A certain whole number w can be divided by 7 and 8 without a remainder. Which number is
NOT a factor of w?
a. 4
b. 12
c. 14
d. 28
e. 56
56. Circles C1 and C2 both have a diameter of 6√2. What is the sum of the solid lines in the diagram?
a. 12√2 b. 24
c. 24√2 d. 36√2 e. 144
Praxis® Core Academic Skills for Educators:
Mathematics Practice Test 3 Answers and Explanations
1. 12p inches. First, convert 240° to radians by ____p 4pmultiplying it by 180° . This yields radians.3
Then apply the arc length formula (S = rq), where q is measured in radians and r is the
4pradius) to fnd the answer: · 9 = 12p inches.3 2. e. A multiple of 126 is equal to the product of
126 and any whole number. (In other words:
126n.) We can multiply 126 by 5 to get 630,
which means 630 is a multiple of 126.
Choices a and b are incorrect because 14 and
63 are factors of 126 (meaning a number
that divides 126 evenly), not multiples of
126. Choices c and d are incorrect because a
multiple of 126 is equal to the product of
126 and any whole number. In other words:
126n. We know that 126 × 1 = 126 and 126 × 2 = 252. In order to create 200, n would have
to be a number greater than 1 but smaller
than 2—which means it would not be a
whole number. Using the same logic, there is
no whole number that we could multiply
126 by to arrive at 326.
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3. a. To fnd the answer, let x represent the total of Cynthia’s weekly sales, and rephrase her
10% commission as a rate of 0.10. Fill in the
other facts supplied by the question, and
then solve for x:
(35 × 10) + 0.10x = 700 350 + 0.10x = 700
0.10x = 350
x = 350 ÷ 0.10 = 3,500
In order for Cynthia to earn $700 per week
before taxes, her weekly sales must total
$3,500. Excluding Cynthia’s weekly base sal-
ary in your calculations, you arrived at the
equation 700 = 0.10x (choice b). When solv-
ing the equation, subtract 350 from both
sides to fnd x; adding 350 results in choice c,
which is incorrect. Choice d is likely the
result of an arithmetic error; $14,000 is four
times the amount she needs. Choice e is also
incorrect due to an arithmetic error when
working with the rate. A 10% commission
translates to a rate of 0.10.
4. c. This procedure uses a reasonable number of different fsh from different parts of the bay
to make a reasonable assessment of the
entire population of fsh in the bay. I is not
valid since only two fsh are used. This
would not be representative of the popula-
tion of fsh in the bay. II is not valid because
it is possible that the same fsh are sampled
multiple times. This would not be represen-
tative of the population of fsh in the bay.
5. c. The triangle formed by the ladder, the wall, and the ground is a 45-45-90 triangle. The
ladder is the hypotenuse of the triangle. For
every 45-45-90 triangle, the length of the
hypotenuse is √2 times the length of a side. Here, the side length is 7 feet, so the hypote-
nuse is 7√2 ≈ 9.9 feet. Four feet (choice a) is way too short and likely the result of an
arithmetic error. As a result of the triangle
being 45-45-90, you can infer that the length
of ground is the same length as the wall:
7 feet. But the hypotenuse—the ladder in
this example—would be longer than each of
these sides. In other words, choice b would
be longer than 7 feet. Choice d is incorrect
because in order to fnd the length of the
hypotenuse, multiply one of the legs by √2, not by √3. Choice e is incorrect for a similar reason; to fnd the length of the hypotenuse,
multiply one of the legs by √2, not by 2. 6. b. Begin by multiplying both sides by –4 to
clear the fraction. Then gather the x terms
on one side and the constants on the other,
and simplify: ___ x = –5 + x–4
x = –4(–5 + x)
x = 20 – 4x
5x = 20
x = 4
Choices a and c are incorrect due to arith-
metic errors. To solve for x, divide both sides
by the coeffcient of x. You shouldn’t sub-
tract the coeffcient, as was done in choice d.
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7. a. Observe that √600 = √10 × 10 × 6 = 10 √6. Choice b is incorrect because 6 and 10
should be switched. 602 does not equal 600,
so √600 cannot equal 60 (choice c). In choice d, observe that 10√60 = √10 × 10 × 60 = √6,000, not √600. Choice e is incorrect for a similar reason. Observe that 60√10 = √60 × 60 × 10 = √36,000, not √600.
8. c. Of the fve choices, millimeters is the small- est unit of measurement. There are more
than 300 mm in 1 foot, so using millimeters
to measure a fence of this size would give an
extremely large fgure that is too detailed for
a general estimate. The next-smallest unit is
inches, which would be an improvement
over millimeters, since there are 12 inches to
1 foot, but of the options here, it is not the
best unit of measurement. Miles and kilo-
meters are not the best units to use for the
opposite reason—they are too large to be
useful to measure a fence that wraps around
an acre of land. They’d produce a number
that is too small. So, of the fve choices, feet
is the best option.
9. 12 inches. Constant functions such as f(x) assign the same output for every input. Here,
the value that the function f(x) assigns to all real
numbers x is 12.
10. b and c. Each dot represents 10 awardees and there are 26 dots, so 260 scholarships were
awarded during the years shown (choice b). The
year 2011 is in the middle of the dot plot. The
dots on either side of that year would have to be
the same in order for the dot plot to be sym-
metrical (choice c). But they’re not. Choice a is
incorrect because the number decreased during
the frst four years but then increased for three
years. The number of scholarships in choice d is
the least number of scholarships awarded annu-
ally. The average number of scholarships
awarded annually for this period is 50 + 50 + 40 + 20 + 30 + 30 + 40 260
7 = 7 , which is
approximately 37 (choice e).
11. a. You can use a proportion to fnd the price per ounce. For choice a, that would mean:
________24 ounces 1 ounce = $1.72 x $1.72 x = ≈ $0.071 per ounce24
As you can see, the only arithmetic done
here is dividing the price by the number of
ounces. Since this is a simple procedure, you
can skip setting up proportions for the rest
of the choices and simply do the same divi-
sion for each answer as a shortcut. Doing so
yields $0.075 per ounce for choice b, $0.078
per ounce for choice c, $0.091 per ounce for
choice d, and $0.125 per ounce for choice e.
Since the cost per ounce is the smallest for
choice a, that is the best buy.
12. d. There are 20 T-shirts on the shelf, and 13 of them are not purple. Because the shirt is
selected at random, all T-shirts are equally
likely to be chosen. So the probability that
the shirt will not be purple is 13 20 .
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_______
______
__
13. 6.87 inches. This question requires a propor- tion to answer it. If x represents the length of
the model, then: _______0.6 inch x inches = 7.9 feet 90.4 feet
Cross multiplying yields 7.9x = 54.24, which
means that x ≈ 6.87 inches. 14. b and c. The points rise from left to right, which
shows a positive trend. Even though they do so
along a curve, the points in choice c rise from
left to right, which shows a positive trend. The
points in choice a fall from left to right, which
suggests a negative trend. The points in choice d
take the shape, more or less, of a horizontal line.
This does not show a positive—or negative—
trend. Choice e does not show any trend at all.
15. b. 1.1 × 0.1 = 0.11, which is not a whole num- ber. Choice a is an incorrect selection
because this difference yields a whole
number: __2 __28 __17 __285 – = – 3 6 3 6
__34 __28 = – 6 6 34 – 28 = 6
= 1
The quotient in choice c also yields a whole
number: 7 3 15 3 15__ __ __ __ __ × __81 ÷ = ÷ = = 58 8 8 8 8 3
Choice d is an incorrect selection because
10 × 0.5 = 8, which is a whole number. The __ 3 phrase 200% of 2 (choice e) is equivalent to
2.00 × 32 , which equals 3, a whole number.
16. c. To compute 6s(x) – __5 1 r(x), frst distribute 6
through each term of s(x) and distribute the __1 – 5 through each term of r(x), and then add
like terms: __1 __3 __1 __16s(x) – 5 r(x) = 6( – 2x
2 + 3 x 4) – 5 (5x
2 – 10x4)2 = (9 – 12x2 + 2x4) – (x2 – 2x4)
= 9 – 12x2 + 2x4 – x2 + 2x4
= 4x4 – 13x2 + 9
Choice a is incorrect because you used a __1 __1 coeffcient of 5 instead of – 5 for r(x), so
you added the polynomials instead of sub-
tracting them. In choice b you multiplied the
frst terms for r(x) and s(x) only by their
respective coeffcients. You must distribute
the coeffcient through all terms of these
polynomial expressions. Choice d is incor-
rect because you applied the –1 only to the
frst term of r(x) in the sense that you incor- 4rectly computed –__
1 5 (5x
2 – 10x4) as –x2 – 2x .
You must distribute it to all terms. In choice
e you subtracted the polynomials in the
wrong order; this should be multiplied
by –1.
17. d. The method of substitution can be eff- ciently applied here by solving the second
equation for y. Doing so yields y = 6 + x.
Then substitute this expression for y into
the frst equation, and solve for x:
–x + 3(6 + x) = –4
2x + 18 = –4
2x = –22
x = –11
Substitute this value into the expression that
is solved for y: y = 6 – 11 = –5. So, the solu-
tion is x = –11, y = –5. Choice a satisfes the
second equation but not the frst, choice b
satisfes neither equation of the system, and
choice c satisfes the frst equation but not
the second.
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__ __
18. d. The area of the entire circle is p · 22 = 4p square inches. Angle PQR is a right angle, so
the unshaded portion represents 4 1 of the
entire circle. This means that the shaded __3 portion represents 4 of the circle. So, the
__3 area of the shaded portion is · 4p = 4 3p square inches. Choice a indicates that you forgot to square the radius when computing
the area of the circle. You forgot to multiply
by p in choice b. Remember, the area of a 2circle of radius r is pr . Choice c is the area
of the unshaded portion, and choice e is the
area of the entire circle.
19. c. To compute the expected value of such a random variable, multiply x times P(X = x)
and add all of them. Doing so yields: __1 __1 __1 __1 __1 __3(–2)( 8 ) + (–1)( 8 ) + 0( 8 ) + 1( 8 ) + 2( 2 ) = 4
Choice a shows the minimum value of the
data set, not the expected value. In choice b
you added the x-values but did not multiply
each one by P(X = x). Meanwhile in choice
d, you added the probabilities, which must
add to 1, but you must multiply each one by
its respective value of x. Even though the
value of x in choice e has the highest proba-
bility associated with it, the expected value is
not this value. Rather, you must multiply
each value of X by its probability of occur-
ring and add those values to fnd the
expected value. __ __420. 27 of his reading time with40. Henry spends 9
__5 comic books, so he must spend 9 of that time
reading material other than comic books. To
determine the fraction of his weekly free time
spent reading material other than comic books,
divide 8 3 by 9
5 : 3 5 3 27__ __ __ × __9 __÷ = = 8 9 8 5 40
21. d. The equation of the parabola is given to be 2y = 1 – x . The slope of the graphed line is 2
and the y-intercept is 0, so that its equation
is y = 2x. If we equate these equations, we get
the equation 1 – x2 = 2x. The solutions of
this equation would yield the x-coordinates
of the points of intersection of the two
graphs shown. Taking all terms to the
right side yields the equivalent equation
x2 + 2x – 1 = 0. The left side of the equation
in choice a is fne, but the right side is not
correct because the equation of the line is
not y = x. The –2x is fne (choice b), but the
x2 term is not correct because the equation
of the graphed parabola is y = 1 – x2. So, 21 – x2 should replace 1 – x . Neither term of
the equation in choice c is correct. The equa-
tions of the shown graphs are y = 1 – x2 and
y = 2x. Equate these to get the desired equa-
tion. Choice e is incorrect because the solu-
tions of this equation give the x-intercepts of
the parabola, not the intersection points of
the two graphs.
22. e. Looking at nearby third powers of integers, note that 53 = 125 < 200 < 216 = 63. So, tak-
ing the cube root throughout this inequality
yields 5 = √3125 < √3200 < √3216 = 6. Note that in choice a, 23 = 8 < x3 < 64 = 43. Since 200
does not lie between 8 and 64, it follows that
√3200 cannot lie between 2 and 4. Note that 33 = 27 < x3 < 125 = 53. Since 200 does not
lie between 27 and 125, it follows that √3200 cannot lie between 3 and 5 (choice b).
Choice c is incorrect because 63 = 216 < x3
< 274.625 = 6.53. Since 200 does not lie
between 216 and 274.625, it follows that
√3200 cannot lie between 6 and 6.5. In choice d, 4.53 = 91.125 < x3 < 166.375 = 5.53. Since
200 does not lie between 91.125 and
166.375, it follows that √3200 cannot lie between 4.5 and 5.5.
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23. d. Translate WXYZ so that X and Z line up with X' and Z'. Then draw the line passing
through vertices X and Z, and refect WXYZ
across this line. The result will be W'X'Y'Z'.
If you rotate (choice a) the fgure WXYZ by
any angle other than 360°, all four vertices
move. Specifcally, X and Z do not remain
where they are once the transformation is
performed. If you do not frst translate
WXYZ, a single refection (choice b) cannot
produce the given image. You must frst
translate WXYZ so that X and Z line up with
X' and Z'. Then, draw the line passing
through vertices X and Z, and refect WXYZ
across this line. Then, the result will be
image W'X'Y'Z'. If you move the fgure by
any distance (choice c), all four vertices
move and keep the same orientation. In the
image shown, X and Z have the same orien-
tation, but Y and W do not. Beginning with
a translation is correct, but then it must be
followed with a refection (choice d), not a
rotation (choice e).
24. d. Use the distributive property and multiply all terms in the parentheses:
–3x(x2 – 3x – 2) = (–3x)(x2) + (–3x)(–3x) + (–3x)(–2)
= –3x3 + 9x2 + 6x
In choice a you multiplied only the frst term
in the parentheses by –3x. You must distrib-
ute this to every term. Choice b is incorrect
because you added the term outside the
parentheses to the quantity enclosed within
them, but you should have multiplied by it.
You did not distribute the negative through
the terms in the parentheses in choice c. In
choice e you distributed only the –3 through
the terms in the parentheses. You must also
multiply by x.
25. (–2,–4). You need to translate the given point 4 units to the left and 1 unit down. So (2,–3)
would correspond to (2 – 4, –3 – 1) = (–2,–4).
26. d. Quadrilaterals R, S, and U are all parallelo- grams, while T and V are not. Because a
fgure is being selected at random, the prob- __3ability that it is a parallelogram is 5 . Choice
a implies that none of the fgures are paral-
lelograms. Choices b, c, and e are incorrect
because of the 5 fgures, 3 are parallelo-
grams, so there is a 3 in 5 chance of selecting
a parallelogram. Additionally, choice e
implies that all members of the set are
parallelograms.
27. e. The ramp is made of fve sides. The two tri- angular sides are congruent and each has an
area of __2 1 (6 ft.)(8 ft.) = 24 ft.2; so, their com-
bined area is 48 ft.2 The bottom of the ramp
has an area of (8 ft.)(20 ft.) = 160 ft.2. The
front slanted side is a rectangle. Using the
Pythagorean theorem, the hypotenuse of
the right triangle is 10 ft., so the area of this
rectangle is (10 ft.)(20 ft.) = 200 ft.2. The
back of the ramp is a rectangle with area
(6 ft.)(20 ft.) = 120 ft.2. Therefore, the total
surface area is (48 + 160 + 200 + 120) ft.2
= 528 ft.2.
28. c and d. Note that zero is a rational number. So, for any irrational number y, 0 × y = 0, which is rational (choice c). Adding a rational number,
which has a terminating or repeating decimal
representation, to an irrational number cannot
produce a decimal that is terminating or repeat-
ing (choice d). Choice a is not true because
being a negative number does not affect a num-
ber’s classifcation as rational or irrational.
Because the set of rational numbers is closed
under subtraction, choice b is also not true.
Choice e is not true: the product of two irratio-
nal numbers may be a rational number, such as
in √2 × √2 = 2.
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29. c. We must express proft as a function of the number of driveways cleared of snow. The
$903 spent on materials yields negative
proft, so we express it as –903 in our func-
tion. Next, since we earn $40 per driveway
and it costs $5.25 per job, our net gain per
job is $40 – $5.25 = $34.75. This is constant,
so the proft gained from clearing x drive-
ways is $34.75x. This means that the func-
tion describing our proft is P(x) = 34.75x
– 903. Computing the break-even point is an
inverse problem. We know the output (the
proft), but need to determine the input (the
number of driveways cleared) that will yield
it. This means we must solve the equation 0
= 34.75x – 903. We do so as follows:
0 = 34.75x – 903
903 = 34.75x
x ≈ 25.986 Rounding up, you see that you’ll break even
after clearing 26 driveways.
30. 59 laps. Since there are 5,280 feet in 1 mile, there are 5,280 × 2.2 = 11,616 feet in 2.2 miles. Now, to determine the number of laps needed
11,616 to swim 11,616 feet, divide: = 58.08 ≈200 59 laps.
31. d. Looking at the graph, you see that the parab- ola opens downward, and its vertex is (–2,3).
Also, f(–3) = f(–1) = 0. If you graph the
equation in choice d, you’d get a parabola
with these characteristics. The equation in
choice a would produce a parabola with a
vertex of (2,3), but the parabola in the image
has a vertex of (–2,3). The coeffcient of x2 in
choice b is positive, so if you graphed the
equation, you’d get a parabola that opens
upward. The equation in choice c would
produce a parabola with a vertex of (2,–3),
but the parabola in the image has a vertex of
(–2,3). The equation in choice e would pro-
duce a parabola with a vertex of (–3,2), but
the parabola in the image has a vertex of
(–2,3).
32. c. Multiply the square footage and the popula- tion density together to fnd the answer:
45,000 × 0.03 = 1,350 people. The answer in choice a is based on a population density of
0.003, not 0.03. In choice b it looks as if you
divided the square footage by 100, which
would correspond to a population density of
0.01, not 0.03. Choice d is the square footage
divided by 10, which would correspond to a
population density of 0.1, not 0.03. Choice e
shows that there would be 1 person for every
square foot (which would be very crowded!).
Zelda prefers a maximum density of 0.03
people per square foot.
33. a. This correlation coeffcient suggests a strong negative trend, which is what is illustrated in
the scatterplot. Choice b describes a weak
negative trend, and choice c describes a scat-
terplot with almost no trend. Choice d
describes a scatterplot where the data rises
from left to right, showing a weak positive
trend, and choice e describes a strong posi-
tive trend.
34. 16,514,690 births. Let x represent the total number of births expected, and then set up
the following proportion: _____12.17 x = 1,000 1,357,000,000
Solving for x yields:
(12.17)(1,357,000,000) = 1,000x (12.17)(1,357,000,000) = x1,000
16,514,690 = x
35. b and c. The graph in choice b is the graph of g(x) = |x| shifted 4 units left and 5 units up. The
graph in choice c is the graph of g(x) = |x|
shifted 4 units left and 7 units up. Choice a is
incorrect because the graph is shifted 4 units to
the right, while choices d and e are incorrect
because the graph is shifted 8 units and 6 units
down, respectively.
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__ ____ __
__ ____ __
_____ __
36. c. If the area of one square is 9 square units, then each side has length √9 = 3 units. Using how the rectangle is subdivided into squares
as shown, we multiply 3 by 2 to get 6 units as
the height of the rectangle, and then multi-
ply 3 by 3 to get 9 units as the length of the
rectangle. The perimeter is 2(6) +2(9) = 30
units. In choice a you did not count both
sides twice when calculating the perimeter
of the rectangle. Choices b and d are incor-
rect because you mistakenly assumed that
the rectangle was itself a square by assuming
all four sides had the same length. Choice e
is incorrect because you multiplied the
perimeter of one square by the number of
squares: 12 × 6. This answer is incorrect because it mistakenly includes the segments
that are inside the rectangle.
37. c. Observe that √(38 + 11)(60 – 11) = √49 × 49 = 49. Choice a represents the square root of
only one factor of the product under the
radical sign. Choice b is incorrect because
you added the square roots of the two indi-
vidual factors rather than multiplying them.
In choice d you found the square root of one
of the factors, but not the other, before mul-
tiplying the results. Choice e is incorrect
because you forgot to take the square root.
38. a. When all the data points are the same, the mean is the same as that data value, and the
variance (average distance from the mean) is
0. In II, the mean is not 44 because you must
divide the sum by the number of data
points, which is 5. The variance is not 0
because all of the points are measurable dis-
tances from the mean. The only time the
variance can be 0 is if all the data points are
equal to the mean. In III, the mean is 44, but
the variance is not 0 because all of the points
are measurable distances from the mean.
39. b. The data can be displayed along the number line using a dot plot as follows:
Observe that the data set is bimodal with
nothing occurring in between those two
clusters. This is the general shape described
by this distribution.
40. a and b. The equation ax + 3y = 0 is equivalent __ a __to y = – 3 x. The slope of this line is –
a and,3 since a > 0, the slope is negative. The lines in
choices a and b have a negative slope since they
fall from left to right. Choice c is incorrect
because the line is vertical; such lines have no
slope. Choices d and e are incorrect because the
lines rise from left to right and so have a posi-
tive slope.
41. d. Rewrite the left side as a multiplication problem and simplify. Then, cross multiply
and solve the resulting equation for a, as
follows: 3 a 4 ÷ = 4 a + 1 3 3 × a + 1 4 = 4 a 3
3a + 3 4 = 4a 3 9a + 9 = 16a
9 = 7a __9 a = 7
Finally, square this fraction by squaring the 2 __81 top and bottom separately to get a = 49.
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42. b, c, and d. All members of the set are of the form 8n, for some whole number n. Thus, each
one is divisible by 4 (choice b). Choice a is
incorrect because none of the members of this
set is prime, since they are all multiples of the
composite number 8. Choice c is a true state-
ment because all members of this set are even.
Choice d is a true statement because all mem-
bers of the set are of the form 8n, for some
whole number n. This is precisely what it means
to be a multiple of 8. In choice e you are confus-
ing the term factor with multiple. In order for
the members of this set to be factors of 8, they
must all divide into 8 evenly. The only one for
which this is true is 8 itself because all of the
other members are larger than 8.
43. b. When refecting a point across the line x = 2, the y-coordinate will stay the same, but the
x-coordinate will change. Subtract 2 – (–11)
= 13 and add this to 2 to get the new
x-coordinate. So, the image of vertex B is
(15,14). Choice a shows the image across the
line y = 2, not x = 2. Choice c is incorrect
because it shows the image across the line
y = x. The x-coordinate is correct in choice
d, but the y-coordinate should not change
when refecting across the line x = 2. Choice
e is incorrect because this is the image across
the origin (which means refection about the
y-axis, and then the x-axis).
44. d and e. Rewriting the fractions in the numera- tor of the complex fraction with the common
denominator x and then combining them yields
this form (choice d): 2 – 4x2 4x ______2 __2 __ – ___
2 – 4x xx xx _______ ______
= = __1 __1 __1
xxx
In choice e, rewrite the fractions in the numera-
tor of the complex fraction with the common
denominator x, and combine them. Then cancel __1by a factor of :x
22 2 – 4x__2 __2 ___4x ______–– 4x x x ______ x______ x _______ x 2 – 4x2 __ 2= = = · = 2 – 4x1 __1 __1 x 1 x xx
Choice a is not equivalent because you cannot __1 cancel the term in the numerator andx
denominator. You can only cancel like factors.
Neither choices b nor c are equivalent: choice b
is the reciprocal of the fnal simplifed form and
choice c needs to be multiplied by –1 in order
for it to be equal to the given complex fraction.
45. b. Solve for t, as follows: 5 ln(t + 4) = 5
ln(t + 4) = 1
t + 4 = e
t = e – 4
Choice a cannot be the solution, because
ln(0) is not defned. Choice c is incorrect
because you ignored “5 ln” and solved the
linear equation t + 4 = 5. In the process of
solving the logarithmic equation, you did
not solve the equation e = t + 4 correctly;
you should have subtracted 4, not divided by
4 (choice d). Choice e is incorrect because in
the process of solving the logarithmic equa-
tion, you did not solve the equation e = t + 4
correctly; you should have subtracted 4, not
multiplied by 4.
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__
______
___________ ___________
_______
____
46. c. The height is 2(20 in.) = 40 in. and the radius is 2
1 (20 in.) = 10 in. So, the volume of __1 __1the cone is V = 3 pr2h = 3 p(10 in.)2(40 in.)
4,000p= 3 in. 3. Choice a is incorrect because
__1 you need to multiply by 3 . In choice b you
forgot to square the radius; in choice d the
diameter was used in place of the radius; and
in choice e the answer given is the circum-
ference of the base.
47. e. The phrase Meredith handles fewer than is translated symbolically into “M <”; the
phrase one-third of the customers translates __1 to “ 3 ”; and the phrase Chris and Dana com-
bined translates to “C + D.” So, the correct __1 relationship is M < 3 (C + D). Multiplying
both sides by 3 yields the equivalent inequal-
ity C + D > 3M. Choice a is incorrect __1because the 3 should be replaced by 3. The
inequality in choice b does not make sense
because “3” has no contextual meaning here.
The inequality in choice c means that Mere-
dith handles more than three times the total
customers handled by Chris and Dana in a
typical hour. The product DC should be
replaced by the sum C + D (choice d).
48. b. The length of the entire circle (or its circum- ference) is 2p · 8 = 16p cm. The ratio of the length of arc JL to the circumference is ___2p __1 __1 = 8 . Sector JKL accounts for of the16p 8
__1circle. So, the central angle x should be 8 × 360° = 45°.
49. b. Let B represent the body weight of this adult male. Since the quantities are in proportion,
we have the following: 25,000 grams 75,000 grams
= m grams B grams Solving for B yields
25,000B = 75,000m 75,000mB = = 3m25,000
50. b. Observe that statement I is not correct __1because b is not less than b if b equals 1.
a ____ + b 2aNext, II is correct because “ equals ” 2b b + a __2b __2bis equivalent to = 2b when a = b. Also, III2b
is incorrect because if b is greater than a,
then the reverse inequality is true.
51. b. Simplify both sides of the equation, then gather the x terms on one side and the con-
stants on the other, and then divide by the
resulting coeffcient of x:
–2(3x – 1) = 4[8 – (2x – 1)]
–6x + 2 = 4(8 – 2x + 1)
–6x + 2 = 4(9 – 2x)
–6x + 2 = 36 – 8x
2x = 34
x = 17
Choice a is incorrect because when simplify-
ing the right side of the equation, you did
not distribute the 4 through all terms in the
brackets. Choice c is incorrect because in the
fnal step the coeffcient of x was subtracted
from both sides, rather than divided. Simi-
larly, choice e is incorrect because the coeff-
cient of x was multiplied by both sides,
rather than divided. Choice d is incorrect
because the fnal step was omitted: both
sides need to be divided by the coeffcient
of x, which is 2.
52. d. Statement I is not true because the mode is not x – 4, as this value occurs only once, just
like every other value in this set. II is true,
because when you order the values from
least to greatest, the middle value is x + 2.
III is true because the mean is the sum of the
values divided by the number of values. Here
the sum is 5x + 12 – 7 = 5x + 5. The number
of values is 5, so the mean is x + 1.
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_______
_______
_______
__________
53. a, b, and e. The probability that a person who buys the game will download the additional
4,000content is 500,000 (since 40% of the 10,000 eligi-
ble are expected to download the content) and 496,000the probability that they won’t is 500,000 .
Thus, the expected cost of the promotion is _______4,000 496,000( 500,000 )(49.99) + (0)( 500,000 ) ≈ 0.40 (choice
a). The probability that a person who buys the
game will download the additional content is 0.30(25,000) = 0.015 (since 30% of the 25,000 eli-500,000 gible are expected to download the content)
and the probability that they won’t is 0.985.
Thus, the expected cost of the promotion is
(0.015)(29.99) + (0)(0.985) ≈ 0.45 (choice b). Promotion X costs the company less per game
than does Promotion Y. So, it is more proftable
(choice e).
54. b. Let x represent Monday’s low temperature. Then, Tuesday’s low can be represented by
x + 11, since we know that Tuesday’s low was
11°F warmer than the low on Monday. Like-
wise, Wednesday’s low temperature equals
x + 11 – 5 = x + 6, since it was 5°F cooler
than Tuesday’s low temperature. Also,
Thursday’s low temperature can be repre-
sented by x + 15 since it was 9°F warmer
than Wednesday’s low temperature. Now, we
must set up an equation to solve for x. Mul-
tiply the average low temperature by 4 since
there are 4 days (87 × 4 = 348) and set the sum of the expressions for the low tempera-
tures for Monday through Thursday equal
to 348. Doing so yields
x + (x + 11) + (x + 6) + (x + 15) = 348
This simplifes to 4x + 32 = 348, so that solv-
ing yields x = 79. Finally, we substitute this in
for x into the expression for Tuesday’s tem-
perature, x + 11, to see that Tuesday’s low
temperature was 90°F. Choice a is Thursday’s
low temperature. Choice c is Wednesday’s
low temperature. Choice d is Monday’s low
temperature. Choice e is too low and is likely
the result of an arithmetic error.
55. b. Since 7 and 8 each divide evenly into w, we know that all products of factors of 8 and 7
must also divide evenly into w. Specifcally,
we know that w must be divisible by each of
the following numbers:
2 × 4 = 8 2 × 7 = 14 4 × 7 = 28 2 × 4 × 7 = 56
Note that choices a, c, d, and e are included
in this list, whereas choice b is not. Conse-
quently, we conclude that the answer is
choice b.
56. b. Since the diameter of each circle is 6√2, the radius is half this, or 3√2. Each of the solid lines is the hypotenuse of a 45-45-90 triangle
that has legs that are each 3√2 long. Using the Pythagorean theorem with h being the
length of the hypotenuse, we see that
2(3√2)2 = h2, which simplifes to 36 = h2, so that h = 6. Since there are four such trian-
gles and they are all congruent, we can con-
clude that each of the four solid lines has
this length, so the sum of the lengths is 24.
Choice a is incorrect because the solid lines
are not radii of the circle and therefore do
not have a length equal to half the diameter.
Choice c implies that the length of each solid
line is 6√2, which is not the case. Choice d is likely the result of an arithmetic error. The
radical should not be part of the solution.
Choice e is likely the result of forgetting to
take the square root of 36 when using the
Pythagorean theorem. The length of each
solid line is 6 units, not 36 units.
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6 PRAXIS® CORE ACADEMIC SKILLS FOR EDUCATORS: PRACTICE TEST 4
CHAPTER SUMMARY Here is your final set of full-length tests for each Praxis® Core Academic Skills for Educators test: Reading, Writing, and Math- ematics. Now that you have completed three total tests, take these exams to see how much your score has improved.
A s you take this fnal set of practice tests, you should once again simulate the actual test-taking expe-rience as closely as you can. Find a quiet place to work where you won’t be disturbed. Follow the time constraints noted at the beginning of each test. After you fnish taking your tests, review the answer explanations. (Each individual test is followed by its
own answer explanations.) See A Note on Scoring on page 375 to fnd information on how to score your test.
Good luck!
To access online PRAXIS Core practice that provides instant scoring and feedback: • Navigate to your LearningExpress platform and make sure you’re logged in. • Search for the following subtests, select one, and then click “Start Test.” • Praxis Core: Reading Practice Test 4 • Praxis Core: Mathematics Practice Test 4 • Praxis Core: Writing Practice Test 4
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Praxis® Core Academic Skills for Educators:
Reading Practice Test 4
Time: 85 Minutes
Directions: Read the following passages and answer
the questions that follow.
Refer to the following passage for questions 1 through 5.
Thirty years ago, the northern spotted owl was
one of the most common owls in the Pacifc
Northwest. However, these owls live in old-
growth forest, and much of their habitat has
5 been lost to logging and natural disasters. In
1991, the federal government passed laws to
protect the land where the owls live. Now,
though, the owls face a new threat—competi-
tion with the barred owl. Barred owls are larger
10 and more aggressive, and their activity results
in the spotted owls leaving nesting and hunting
grounds.
Scientists have tried several ways to pro-
tect the endangered spotted owl. Some track
15 the owl nests as they monitor activity to deter-
mine when eggs hatch. Some scientists have
even tried to reduce the population of barred
owls. Environmental specialists are working
hard to protect spotted owls, but more research
20 is needed. In addition to the myriad other dan-
gers, the northern spotted owl is threatened by
climate change and competition with other
birds of prey. Given all of these signifcant haz-
ards, scientists must do whatever they can to
25 save the northern spotted owl species.
1. Which is NOT stated or implied by the passage as a threat to the northern spotted owl?
a. logging
b. scientifc research
c. forest fres caused by lightning
d. climate change
e. barred owls in the environment
2. Which statement based on information from the passage represents a statement of opinion,
rather than a statement of fact?
a. Thirty years ago, the northern spotted owl
was one of the most common owls in the
Pacifc Northwest.
b. In 1991, the federal government passed laws
to protect the land where the owls live.
c. Barred owls are larger and more aggressive,
and their activity results in the spotted owls
moving away from nesting and hunting
grounds.
d. Activity is monitored to determine when
eggs hatch.
e. Given all these signifcant hazards, scientists
must do whatever they can to save the
northern spotted owl species.
3. What is the purpose of the phrase Now, though in lines 7–8 within the context of the passage?
a. to contrast the author’s opinion with the
actual facts
b. to reverse the decision that a species must be
protected
c. to question the reasonableness of a
government bill
d. to contrast an earlier protection with current
threats
e. to compare a variety of threats to an
endangered species
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4. Which sentence provides the best summary of the reading selection?
a. The northern spotted owl suffers from a loss
of habitat.
b. The northern spotted owl faces severe
threats and must be protected.
c. Scientists are struggling to identify ways to
protect the northern spotted owl.
d. The northern spotted owl was once common
in the Pacifc Northwest.
e. The northern spotted owl is an endangered
species.
5. Which detail from the reading selection pro- vides the least support for the main idea?
a. However, these owls live in old-growth
forest, and much of their habitat has been
lost to logging and natural disasters.
b. Now, though, the owls face a new threat––
competition with the barred owl.
c. Barred owls are larger and more aggressive,
and their activity results in spotted owls
leaving nesting and hunting grounds.
d. Owl nests are monitored to determine when
eggs hatch.
e. In addition to the myriad other dangers, the
northern spotted owl is also threatened by
climate change and competition with other
birds of prey.
Refer to the following passage for questions 6 through 8.
In recent years, it is clear that the local minor
league baseball team, the Dowshire Ducks, has
truly become standard weekend entertainment
for hundreds of families. On summer after-
noons, the bleachers in Hulldown Stadium are
teeming with cheering fans. But this hasn’t
always been the case. Even ten years ago, ticket
sales were limited, and the team was largely
ignored. The Ducks rarely won games or placed
10 well in regional tournaments. The arrival of
manager Duncan Brin in 2004, however, started
a new era of success and fame for the Ducks.
6. Which sentence best states the main idea of the passage?
a. The Dowshire Ducks were once an
unsuccessful baseball team.
b. Throughout the years, there have been many
managers of the Dowshire Ducks.
c. The Dowshire Ducks play their games in
Hulldown Stadium.
d. Due to the work of Duncan Brin, the status
of the Dowshire Ducks has risen.
e. Attending a Dowshire Ducks game is
popular family entertainment.
7. Which best describes the organizational struc- ture of the passage?
a. Details are provided through contrasts, and
then a main idea is provided.
b. A main idea is provided, and then
supporting details are listed.
c. A handful of comparisons are given, and
then several dissimilarities are provided.
d. Defnitions are provided for several
unknown terms, and then a main idea is
stated.
e. A problem is posed, and then potential
solutions are discussed.
8. The word teeming in line 6 could be replaced with which of the following words to result in
the least change in meaning of the sentence?
a. crowded
b. rooting
c. energized
d. vacant
e. teaming
5
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Refer to the following graph for questions 9 through 11.
This graph provides data regarding purchases made
by three students during the month of July.
Purchases of Three Students in July
Am ou
nt s
pe nt
(d ol
la rs
)
35
30
25
20
15
10
5
0 Maria Atul Pat
Food and snacks Movies and games Clothing
July Purchases
9. Based on information in the graph, which inference could reasonably be drawn?
a. Pat will spend more on clothing in August
than María or Atul will.
b. Of the three students whose expenditures
are detailed in the graph, it is clear that Atul
is saving the most money for large
purchases.
c. María spent the same amount on clothing as
she spent on movies and games during July.
d. Atul’s parents cook his meals and prepare
snacks for him.
e. Of the three students whose expenditures
are detailed in the graph, Atul spent the
most on movies and games during the
month of July
10. During July, who spent the greatest total amount for the three types of expenditures
identifed in the graph?
a. María
b. Atul
c. Pat
d. María and Pat tied for the greatest amount
spent.
e. Pat and Atul tied for the greatest amount
spent.
11. Which statement(s) about expenditures is/are supported by data in the bar graph? Choose all
that apply.
a. Clothing prices were higher during July than
during other months of the year.
b. María and Atul shopped together during the
month of July.
c. There were more sales on food and snacks
during July than during other months of the
year.
d. Atul spent the same amount for the
combination of food and snacks, movies and
games, and clothing as María spent for
movies and games only.
e. Pat spent as much for the combination of
food and snacks and movies and games as
Atul spent for clothing only.
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Refer to the following passage for questions 12 and 13.
Laughter is always the laughter of a group. It
may, perchance, have happened to you, when
seated in a railway carriage, to hear travelers
relating to one another’s stories, which must
5 have been comic to them, for they laughed
rapturously. Had you been one of their com-
pany, you would have laughed like them, but, as
you were not, you had no desire whatsoever to
do so. However spontaneous it seems, laughter
10 always implies a kind of complicity with other
laughers, real or imaginary. How often has it
been said that the fuller the theater, the more
uncontrolled the laughter of the audience! On
the other hand, how often has the remark been
15 made that many comic effects are incapable of
translation from one language to another,
because they refer to the customs and ideas of a
particular social group!
12. The anecdote about the travelers in the railway carriage supports the author’s main argument,
as stated in the frst sentence of the passage.
Which most clearly states how this support
occurs?
a. The anecdote demonstrates through
personal experience that laughter is an
isolated phenomenon.
b. The anecdote illustrates how the specifc
customs and ideas of a person’s society
dictate what is and what is not funny.
c. The anecdote accentuates that an individual
who is not part of an intended audience
might lack a necessary connection to fnd
humor in a situation.
d. The anecdote shows the signifcant impact
of railway travel on a humorous situation.
e. The anecdote demonstrates that laughter is
an inexplicably spontaneous event.
13. In the context of the passage, the word raptur- ously in line 6 could be replaced with which of
the following words to have the least impact on
the meaning of the sentence?
a. enthusiastically
b. painfully
c. morosely
d. awkwardly
e. ridiculously
Refer to the following passage for questions 14 through
20.
Mounting confict between the colonies and
England during the 1760s and 1770s reinforced
growing conviction that Americans should be
less dependent on England for manufacturing.
5 Manufacture of homespun cloth was encour-
aged as a substitute for English imports. But
manufacturing of cloth outside the household
was associated with relief for the poor. Houses
of Industry employed poor families at spinning
10 for their daily bread.
Such practices made many pre-
Revolutionary Americans dubious about
manufacturing. After independence, many
unsuccessful attempts to establish textile
15 factories occurred. Americans needed access to
British industrial innovations, but England had
passed laws forbidding export of machinery or
emigration of those who could operate it. Nev-
ertheless, an English immigrant, Samuel Slater,
20 introduced British cotton technology to
America.
Slater had worked his way up from
apprentice to overseer in England. Drawn by
American bounties for introduction of textile
25 technology, he passed as a farmer and sailed for
America after memorizing details of a revolu-
tionary cloth-making machine. In 1790, he
started the frst permanent American cotton-
spinning mill. Employing a workforce of young
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30 children, Slater successfully mechanized crucial
processes.
A generation of workers trained under
Slater. Thus began the rapid proliferation of
textile mills during the early nineteenth cen-
35 tury. From the trained workforce in Slater’s frst
mill, the industry spread across New England.
For two decades, before mills modeled on Fran-
cis Cabot Lowell’s factory system offered com-
petition, the “Rhode Island System” of small,
40 rural spinning mills set the tone for early
industrialization.
14. The primary purpose of the passage is to a. account for the decline of rural America.
b. contrast political views held by the British
and the Americans.
c. summarize British laws forbidding the
export of industrial machinery.
d. describe the introduction of textile mills to
New England.
e. provide a cogent argument in support of
industrial development.
15. The passage refers to the work of Houses of Industry to illustrate
a. an early successful program to support
international travel.
b. the perception of cloth production outside
the home as a social welfare measure.
c. the preference for the work of individual
artisans over that of spinning machines.
d. the frst textile factory to be established
within the United States.
e. the utilization of technological advances
being made in England at the time.
16. Based on the passage, it can reasonably be inferred that early American manufacturing
was
a. entirely benefcial.
b. politically and economically necessary.
c. symbolically undemocratic.
d. environmentally destructive.
e. spiritually corrosive.
17. The explanation of Slater’s immigration to the American colonies best helps to support the
author’s claims in the passage by
a. demonstrating Slater’s craftiness in evading
British export laws.
b. showing the attraction of farming
opportunities in the American colonies.
c. explaining the details of British
manufacturing technologies.
d. illustrating American efforts to block
immigration to the colonies.
e. describing the willingness of British factories
to share knowledge with the colonies.
18. The passage infers that Slater viewed child labor as
a. available workforce.
b. necessary evil.
c. unpleasant reality.
d. established institution.
e. outdated.
19. The author implies that the catalyst behind the spread of American textile mills during the
early 1800s was
a. Slater’s voyage on a ship to America.
b. the decline in the ideal of the self-suffcient
American farm family.
c. the expertise of the workforce trained in
Slater’s prototype mill.
d. an increased willingness to support families.
e. the support of British manufacturers who
owned stock in American mills.
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20. The word modeled in line 37 most closely means
a. posed.
b. displayed.
c. arranged.
d. illustrated.
e. fashioned.
Refer to the following passage for question 21.
Despite an innocuous appearance that brings to
mind an oversized pig or water-dwelling cow,
the hippopotamus is capable of great vicious-
ness. Short legs and hefty bodies (on average,
adults weigh in the neighborhood of 3,000 lbs.)
do not slow the hippo, which can run up to 19
miles per hour in short spurts. That weight,
coupled with tusks that may measure more
than a foot long and a generally aggressive atti-
tude, makes for an unexpected danger. People
would be wise to steer clear of the beasts, and
though young hippos might fall prey to the
lions, crocodiles, and hyenas with which they
share their habitat, full-grown hippos are more
likely to be the aggressors in confrontations
with such notoriously deadly animals.
21. Which description of a hippopotamus best represents a statement of opinion rather than
a fact?
a. It looks like an oversized pig or water-
dwelling cow.
b. It is often aggressive to lions, hyenas, and
crocodiles.
c. It can weigh in the neighborhood of
3,000 lbs.
d. It is capable of running 19 miles per hour
in short spurts.
e. It has tusks that may measure more than a
foot long.
Refer to the following passage for questions 22 through
24.
Wilma Rudolph, a child who contracted polio
and went on to become an Olympic running
champion, is an inspiration for us all. Born pre-
maturely in 1940, Wilma spent her childhood
5 battling illness, including measles, scarlet fever,
chicken pox, pneumonia, and polio, a disease
for which there was no cure at the time. At the
age of four, Rudolph was told she would never
walk again. But Rudolph and her family refused
10 to give up. After years of special treatment and
physical therapy, 12-year-old Rudolph was able
to walk normally again. But walking wasn’t
enough for her; she was determined to be an
athlete. Little time passed before her talent
15 earned her a spot in the 1956 Olympics, where
she won a bronze medal. In the 1960 Olympics,
the zenith of her career, she won three gold
medals.
22. Which statement provides the best summary of the main idea of the reading selection?
a. Rudolph had a great desire to become an
athlete, despite challenges she faced.
b. Rudolph was an Olympic champion who
won a bronze medal and three gold medals.
c. Rudolph overcame extreme diffculty to rise
to great accomplishment.
d. Chicken pox, pneumonia, and polio are very
serious diseases contracted by Rudolph.
e. Many inspirations, such as Rudolph, exist in
the annals of history.
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23. Which of the following is most analogous to the life of Wilma Rudolph?
a. After contracting what was believed to be
polio at age 39, President Franklin Roosevelt
suffered partial paralysis and was forced to
spend much of the rest of his life in braces
or in a wheelchair.
b. Diagnosed with the degenerative nervous
system disorder Parkinson’s disease in 1991,
actor Michael J. Fox took a break from full-
time acting in 2000.
c. Following his fall from a horse in 1995, actor
Christopher Reeve was confned to a
wheelchair until his death in 2004.
d. Nicknamed the “Iron Horse” for his
durability, New York Yankee Lou Gehrig
retired at age 36 due to advanced
amyotrophic lateral sclerosis (ALS).
e. Although he suffered from severe asthma as
a child, Theodore Roosevelt became a U.S.
president and an avid outdoorsman.
24. What is the meaning of zenith as it is used in line 17 of the passage?
a. peak
b. nadir
c. conclusion
d. epilogue
e. midpoint
Refer to the following passage for questions 25 and 26.
For many students juggling a heavy scholarly
workload and numerous extracurricular activi-
ties, school is tough enough without worrying
about what to wear and how to look cool every
5 day. Much of the clothing students choose to
wear to school of their own accord, such as styl-
ized jeans or tee-shirts that promote personal
beliefs or favorite musical artists, can be a dis-
traction within the classroom’s walls. Further-
10 more, allowing students the freedom to select
their own attire presents an outward inequality;
students who have the fnancial resources to
buy designer-labeled clothing will frequently do
so, resulting in a faunting of fnancial disparity
15 among students.
25. Which adjective best describes the author’s attitude toward an enforced student dress
code?
a. resistant
b. cautious
c. ambivalent
d. concerned
e. sympathetic
26. Which statement, if it were true, would most signifcantly weaken the author’s main
argument?
a. An education study recently demonstrated
that dress codes enhance students’ ability to
learn.
b. A school that employs a stringent dress code
provides a safer educational environment.
c. Restricting students’ right to choose their
clothing limits their independence and
creativity.
d. Tolerance across social groups is improved
through use of a formal dress code.
e. Schools frequently differ as to the style and
color of a mandatory school uniform.
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Refer to the following passage for questions 27 through
29.
In the long history of soccer, no single player
has changed the game as much as Pelé. Born
Edison Arantes do Nascimento in Brazil in
1940, Pelé played professional soccer for 20
5 years, including in four World Cups for his
native Brazil. Toward the end of his career, he
also played for a North American soccer league.
Though he was well past his prime, Pelé helped
to signifcantly increase American interest in
10 soccer. Counting his time in the American
league, Pelé scored a total of 1,281 goals––the
largest number of goals scored by any profes-
sional soccer player. Pelé’s athletic skills were
some of the most impressive in history. He was
15 awarded the title “Athlete of the Century” by
the International Olympic Committee. By the
time he retired, no one had helped increase the
popularity of soccer more.
27. Which statement from the passage represents a statement of opinion, rather than a statement
of fact?
a. In the long history of soccer, no single player
has changed the game as much as Pelé.
b. Born Edison Arantes do Nascimento in
Brazil in 1940, Pelé played professional
soccer for 20 years, including in four World
Cups for his native Brazil.
c. Toward the end of his career, he also played
for a North American soccer league.
d. Counting his time in the American league,
Pelé scored a total of 1,281 goals––the largest
number of goals scored by any professional
soccer player.
e. He was awarded the title “Athlete of the
Century” by the International Olympic
Committee.
28. Which detail from the passage least supports the main idea?
a. Pelé was born Edison Arantes do
Nascimento in Brazil in 1940.
b. Pelé played professional soccer for 20 years,
including in four World Cup competitions.
c. Pelé helped signifcantly to increase
American interest in soccer.
d. Pelé scored a total of 1,281 goals.
e. Pelé earned the title “Athlete of the Century.”
29. Based on information provided in the passage, which of these athletes is most similar to Pelé?
a. Cristiano Ronaldo, a Portuguese soccer
player who is the highest-paid soccer player
in history
b. Dilma Rousseff, the 36th president of Brazil
and the frst woman to hold the country’s
highest offce
c. Babe Ruth, who helped make baseball the
most popular sport in America by breaking
home-run records
d. Charles Haley, who was a member of fve
Super Bowl–winning football teams from
1986 through 1999
e. Landon Donovan, who scored multiple goals
in the 2010 World Cup for the American
soccer team
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5
10
15
20
25
30
35
Refer to the following passage for questions 30 through
36.
Gray wolves once roamed the U.S. Yellowstone
area but were gradually displaced by human
development and hunting by farmers and
ranchers who were trying to protect livestock.
By the 1920s, wolves had practically disap-
peared from the area, migrating north, into
Canadian forests.
Disappearance of wolves had many conse-
quences. Deer and elk populations––major
food sources for wolves––grew rapidly without
this predator. The deer and elk consumed large
amounts of vegetation, reducing plant diversity.
Without wolves, coyote populations also grew
quickly. Coyotes killed many red foxes and
completely eliminated the park’s beavers.
By 1966, biologists asked the government
to consider reintroducing wolves to Yellowstone
Park. The biologists hoped wolves would be
able to control elk and coyote populations.
Many ranchers and farmers opposed the plan;
they feared that wolves would kill livestock or
pets. Other people feared that wolves would no
longer be protected in Yellowstone.
The government spent almost 30 years
developing a reintroduction plan. Although
wolves were technically an endangered species,
Yellowstone’s wolves were classifed as an
“experimental” population. This allowed
greater governmental control over wolf packs.
To counteract potential resistance, the govern-
ment pledged to pay ranchers for livestock
killed by wolves. Today, debates continue as to
how well the gray wolf is ftting in at Yellow-
stone. Elk, deer, and coyote populations have
decreased, while beavers and red foxes have
made a comeback.
30. What is the main idea of the frst paragraph of the passage?
a. Gray wolves were unfairly treated by the
ranchers and farmers.
b. Canada provided a better habitat for gray
wolves than Yellowstone did.
c. Gray wolves were displaced from their
original homes by humans.
d. Gray wolves were a threat to ranchers.
e. It was important to reintroduce the gray
wolves to Yellowstone.
31. According to the passage, biologists asked the government to reintroduce wolves in Yellow-
stone principally in order to
a. control the elk and coyote populations
b. restore the park’s plant diversity
c. control the local livestock
d. protect the wolves from extinction
e. increase tourism revenue
32. In the fourth paragraph, the author references the gray wolf as being a technically endangered
species. This reference most helps to support
the author’s claims in the passage by
a. emphasizing the legal defnition of
endangered.
b. showing that the government controls the
wolves’ status.
c. explaining why the wolves are endangered.
d. highlighting the fact that the Yellowstone
wolves are a special population.
e. accentuating the scientifc usage of the
reintroduction.
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33. Which most closely identifes the primary organizational structure of the second para-
graph of the passage?
a. compare and contrast
b. cause and effect
c. chronological order
d. order of importance
e. classifcation
34. What is the implied main idea of the article? a. Yellowstone’s wolf program was a mistake.
b. The government is responsible for
reintroducing wolves
c. Wolves are an important part of our
national parks.
d. Yellowstone’s wolf program has been
benefcial for the wolves and the park.
e. It is important not to disrupt the delicate
balance of life in nature.
35. Which statement, if it were true, would most signifcantly weaken the author’s main
argument?
a. The government continues to monitor the
populations of gray wolves, elk, and coyotes.
b. The introduction of the gray wolf has
increased the population diversity of the
Yellowstone area.
c. Yellowstone has been a protected area since
its founding as a national park in 1872.
d. The introduction of the gray wolf allowed
scientists to consider reintroducing beavers
to Yellowstone.
e. The reintroduction of the gray wolf at this
time could ultimately result in a decrease of
benefcial gray wolf characteristics.
36. Which species endured the most similar expe- rience to that of the gray wolves in
Yellowstone?
a. the polar bear, whose northern habitat is
threatened by warming air temperatures and
the resulting reduction of sea ice
b. the possum, which was introduced in non-
native New Zealand in an effort to create a
fur industry but resulted in overpopulation
of the land
c. the muskox, which was hunted to extinction
in Alaska by about 1900 but brought back to
repopulate the land during the 1930s
d. the moa, a series of large New Zealand birds
that were hunted to extinction in about A.D. 1400
e. the house cat, whose introduction to
Australia has resulted in the extinction of
dozens of other species
Refer to the following passage for questions 37 and 38.
It is a statistical anomaly that Barack Obama is
generally recognized as the 44th president of
the United States, yet only 42 other people held
the presidency before he did. This is due to the
5 fact that Grover Cleveland served two non-
consecutive terms in offce, one from 1885 to
1889 and the other from 1893 to 1897. As the
only president to serve nonconsecutive terms,
Cleveland is counted twice in the numbering of
10 the presidents and is therefore considered both
the 22nd and 24th president of the United
States. Given the resulting disparity, it would be
more rational to number the presidents based
solely on the frst term, ignoring any secondary
15 tenures that could complicate the sequence.
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37. Which best describes the author’s opinion regarding the current numbering system for
U.S. presidents?
a. clever
b. illogical
c. reverential
d. presidential
e. rational
38. Which word has the closest meaning to anom- aly as it appears in line 1 of the passage?
a. data
b. irregularity
c. representation
d. conclusion
e. indiscretion
Refer to the following passages for questions 39 through
45.
Passage 1
The frst bicycle, the fragile wooden draisienne,
was invented in Germany in 1818 by Baron Karl
de Drais de Sauerbrun. Riders moved it by
pushing their feet against the ground. In 1839,
5 Kirkpatrick Macmillan, a Scottish blacksmith,
developed an improved model with tires that
had iron rims to keep them from getting worn
down. He also used foot-operated cranks, simi-
lar to pedals, as an instrument for faster riding.
10 His didn’t look much like the modern bicycle;
its back wheel was substantially larger than its
front wheel. Although Macmillan’s bicycles
could be ridden easily, they were never pro-
duced in great numbers.
Passage 2
15 In 1861, Pierre and Ernest Michaux invented a
popular bicycle, the velocipede (“fast foot”),
with an improved crank mechanism that con-
nected to the front wheel. Ten years later, Eng-
lish inventor James Starley revolutionized
20 bicycle design. He made the front wheel much
larger than the back wheel, put a gear on pedals
to make the bicycle more effcient, and light-
ened wheels with wire spokes. Although this
bicycle was much lighter and less tiring to
25 ride, it was still clumsy and top-heavy. In 1874,
the frst truly modern bicycle appeared.
Invented by another Englishman, H.J. Lawson,
the safety bicycle had equal-sized wheels; it was
much less prone to toppling over. Lawson
30 attached a chain to pedals to drive the rear
wheel; by 1893, he further improved the bicycle
with air-flled rubber tires, a diamond-shaped
frame, and easy braking.
39. Which sentence summarizes the information from both passages?
a. Lawson was focused on the safety of the
bicycle when he developed his 1874 version.
b. From the early 1800s to the end of the
century, many improvements were made to
the bicycle.
c. Bicycles that were manufactured in 1850 and
1860 shared numerous similarities.
d. The 1818 bicycle could be described as a
rudimentary version of Macmillan’s bicycle.
e. Iron rims created problems for Macmillan’s
bicycles, while Starley’s smaller front wheel
was a positive advance.
40. Kirkpatrick Macmillan affected the develop- ment of the bicycle by
a. improving the overall energy effciency of
the design.
b. increasing the durability of the bicycle.
c. allowing the bicycle to be ridden by the
masses.
d. making the bicycle lighter and easier to ride.
e. adjusting the size of the wheels to make the
front wheel larger.
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41. Based on information in the passages, which series of improvements to the bicycle repre-
sents the sequence of changes in chronological
order?
a. iron rims, improved crank mechanism, wire
spokes, rubber tires, equal-sized wheels
b. iron rims, gears on pedals, improved crank
mechanism, equal-sized wheels, diamond-
shaped frame
c. iron rims, improved crank mechanism, wire
spokes, easy braking, chain to the pedals
d. diamond-shaped frame, easy braking, equal-
sized wheels, iron rims, wire spokes
e. iron rims, improved crank mechanism, wire
spokes, equal-sized wheels, diamond-shaped
frame
42. The development of the bicycle was most simi- lar to the development of the
a. hot-air balloon, because it helped transport
many passengers great distances without an
engine.
b. automobile, because its design was improved
upon by many inventors during a long
period of time.
c. space station, because its components were
constructed during a period of several years.
d. atomic bomb, because a specifc
technological advance allowed for its
development.
e. radio, because it improved the method and
speed of communication.
43. The word instrument as it is used in line 9 most nearly means
a. item to produce musical sound.
b. tool.
c. formal document.
d. impediment.
e. monitoring device.
44. Based on information in the passage, which prediction for the future of bicycle develop-
ment is most reasonable?
a. The development of the bicycle will cease, as
all potential improvements have been
achieved.
b. The design will regress to the conditions of
the nineteenth-century bicycle, including
unequal wheel sizes.
c. Future modifcations to the bicycle will
further enhance the design and
specifcations.
d. Added weight to the framework design will
improve stability and control.
e. The advent of jet propulsion and safety
features will allow for potential air travel.
45. Who invented the earliest bicycle discussed in the two passages?
a. Pierre and Ernest Michaux
b. James Starley
c. Baron Karl de Drais de Sauerbrun
d. H.J. Lawson
e. Kirkpatrick Macmillan
Refer to the following passage for questions 46 and 47.
Plato, the famous Greek philosopher, taught the
premise that the things of the world around us
are merely copies, or “shadows,” of greater, eter-
nal realities. He used a metaphor, alluding to
5 people living inside a cave, to convey his ideas.
The people inside the cave could not see the
world outside the cave; they could see only
shadows of people and animals passing by.
Plato’s position was that the shadows would
10 seem very real and alive to the people inside the
cave––because that was all they had ever seen
of the outside world. But these shadows were
not the real, living creatures of the outside
world; they were merely refections of them.
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15 Plato held that this temporal world was a nar-
row picture of some greater, eternal reality.
46. Which best explains the way in which the fol- lowing sentence from the passage supports the
author’s claims?
The people inside the cave could not see
the world outside the cave; they could
see only shadows of people and animals
passing by.
a. The sentence provides concrete evidence of a
philosophical truth.
b. The sentence offers a look at the world
outside of a cave.
c. The sentence illustrates a concept through
use of an understandable context.
d. The sentence describes the geographic
location and setting of a story.
e. The sentence shows a vision of an illogical
future.
47. As it appears in line 9 of the passage, the word position most nearly means
a. situation.
b. location.
c. movement.
d. opinion.
e. style.
Refer to the following passage for questions 48 through
51.
A cursory glance at a globe will reveal a fasci-
nating observation: the continents of South
America and Africa, separated by thousands of
kilometers of open ocean, seem to ft together
5 like pieces of a jigsaw puzzle. The eastern edge
of South America, part of modern-day Brazil,
juts out into the Atlantic Ocean at about the
same latitude where the coast of northern
Africa shrivels toward the east. The reason for
10 this geological phenomenon is not pure hap-
penstance. Both massive land masses were once
connected in a supercontinent called Gondwana,
which also contained most of the land found
today in India, Australia, and Antarctica,
15 about 200 million years ago.
The process responsible for Gondwana
splitting into the two separate continents as
they now stand in their current positions is
“continental drift.” The signifcant hypothesis,
20 put forth by German geologist Alfred Wegener
in 1915, states that parts of Earth’s crust can
shift above the planet’s liquid core as time pro-
gresses. A later theory of plate tectonics
expanded on Wegener’s discovery, conjecturing
25 that Earth’s continental plates move in different
directions, which affects the positions of the
continents and explains why South America
and Africa seem to ft like puzzle pieces, despite
their locations on opposite sides of an ocean.
48. The description of the continents of South America and Africa as pieces of a jigsaw puzzle
best helps to support the author’s claims in the
passage by
a. contrasting the signifcant difference
between the land masses.
b. detailing the mystery of the continental
shapes as a puzzle.
c. minimizing the geological importance of the
continents.
d. reinforcing the corresponding physical
relationship of the continents.
e. illustrating the problems scientists faced in
determining the causes of continental drift.
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49. The word cursory in line 1 could be replaced with which of the following words to result in
the least change in meaning?
a. investigative
b. hasty
c. internal
d. offensive
e. cursive
50. Which statement, if it were true, would most signifcantly strengthen the author’s main
argument?
a. Gondwana was once part of a much larger
supercontinent called Pangaea.
b. Fossils of the same type of plant have been
found in parts of South America and Africa.
c. The African island of Madagascar was once
part of the supercontinent Gondwana.
d. There are countless species of animals that
exist in only South America or Africa, but
not on both continents.
e. Scientists have studied Africa and South
America for decades, arriving at many
theories.
51. According to the passage, which statement can most reasonably be made?
a. Alfred Wegener developed the theory of
plate tectonics.
b. There was a time on planet Earth when there
were no oceans.
c. South America and Africa are roughly the
same size.
d. There is scant evidence that supports the
“continental drift” theory.
e. South America and Africa are located on two
different plates.
Refer to the following graph for questions 52 and 53.
The United States is one of the most culturally
diverse nations on Earth. This is clear from the
“melting pot” moniker so proudly sported by
the nation. The United States is also one of the
5 most climatically diverse nations. The climate
of the United States ranges from very low tem-
peratures to very high temperatures. These very
high temperatures are often described as
“torrid.” Some areas of Alaska rarely get warm
10 enough to melt an ice cube. The weather in
Hawaii is perfect throughout the year. A tem-
perature once recorded in northern Alaska was
–79.8°F, while Hawaii has never recorded a sub-
zero temperature.
52. Which of the following sentences from the pas- sage is an example of an opinion?
a. The United States is one of the most
culturally diverse nations on Earth.
b. The climate of the United States ranges from
very low temperatures to very high
temperatures.
c. Some areas of Alaska rarely get warm
enough to melt an ice cube.
d. The weather in Hawaii is perfect throughout
the year.
e. A temperature once recorded in northern
Alaska was –79.8°F, while Hawaii has never
recorded a sub-zero temperature.
53. Within the context of the passage, the word torrid in line 9 can be replaced with which
word to incur the smallest change in meaning?
a. sweltering
b. dissimilar
c. glacial
d. lukewarm
e. uncomfortable
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Refer to the following passage for questions 54 through
56.
If you frequently feel drowsy during the day or
fall asleep within fve minutes of lying down,
you might be experiencing sleep deprivation.
Microsleeps, very brief episodes of sleep in an
5 otherwise awake person, are another mark of
sleep deprivation. The widespread practice of
“burning the candle at both ends” in Western
industrialized societies has created so much
sleep deprivation that abnormal sleepiness is
10 now almost the norm.
Studies prove that sleep deprivation is
dangerous. Sleep-deprived people tested with a
driving simulator perform as badly as or worse
than those who are intoxicated. Driver fatigue is
15 responsible for an estimated 100,000 motor
vehicle accidents and 1,500 deaths each year.
Since drowsiness is the brain’s last step before
falling asleep, drowsy driving can often lead to
disaster. The National Sleep Foundation says
20 that if you have trouble keeping your eyes
focused, can’t stop yawning, or can’t remember
driving the last few miles, you are too drowsy to
drive safely.
54. The primary purpose of the passage is to a. offer preventive measures for sleep
deprivation
b. explain why sleeplessness has become a
common state in Western cultures
c. recommend the amount of sleep that is
needed by individuals of a variety of ages
d. alert readers to the signs and risks of failure
to obtain a suffcient amount of sleep
e. discuss the effects of alcohol on a sleep-
deprived person
55. The phrase burning the candle at both ends in line 7 illustrates
a. an unrelenting schedule that affords little
rest
b. an ardent desire to achieve
c. the fames that can ignite when a fammable
item is burned
d. a latent period before a confict or collapse
e. a state of extreme agitation
56. The term norm in line 10 could be replaced with which of the following words to result in
the most minimal change in meaning?
a. outlier
b. standard
c. danger
d. oddity
e. ideal
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Praxis® Core Academic Skills for Educators:
Reading Practice Test 4 Answers and Explanations
1. b. The passage mentions that more research is needed to try to protect the northern spot-
ted owl, but the research is not a threat to
the owl. The passage states that a great deal
of the spotted northern owl’s habitat has
been lost to logging and natural disasters
(choice a). Forest fres are not mentioned
explicitly in the passage as a threat to the
northern spotted owl, but the passage does
mention that a great deal of the owl’s habitat
has been lost as a result of natural disas-
ters—and forest fres caused by lightning are
natural disasters (choice c). Climate change
(choice d) is specifcally mentioned as a
threat to the northern spotted owl. Barred
owls (choice e) are specifcally mentioned as
a threat to the northern spotted owl.
2. e. It cannot be proven or disproven that scien- tists should do all they can for this purpose.
This is a matter of opinion, not fact. The
statements in choices a, b, c, and d can all be
proven or disproven.
3. d. Within the context of the passage, the phrase Now, though is used to describe an addi-
tional threat to the northern spotted owl,
despite the protection provided by a 1991
law. Choices a, b, c, and e are incorrect
because they are not supported by the con-
text of the passage.
4. b. The crux of the passage references the many threats faced by the northern spotted owl, as
well as the need for the protection of the
species. Choices a, c, and d are incorrect
because they discuss supporting details, not
main ideas. The statement in choice e is too
general to summarize the passage.
5. d. The main idea of the passage relates to the northern spotted owl being in need of pro-
tection, as it faces many threats. This answer
choice shows that scientists are trying to
monitor the owls’ nests; this alone provides
the least support for the main idea. Choices
a, b, c, and e mention specifc threats, so
they do not provide the least support for the
main idea, the need for protection of the owl
from threats.
6. d. The passage focuses on the rise of the team as a result of the work of Duncan Brin.
Choices a, c, and e are incorrect because they
are supporting details. Additionally, there is
no evidence in the passage to suggest the
position mentioned in choice b.
7. a. The passage opens with details about the team today, and then the passage contrasts
these details with details about the team’s
earlier problems. The passage then con-
cludes with the main idea. Choice b is incor-
rect because the passage does not begin with
the main idea. The organization of the pas-
sage is not based on a handful of compari-
sons and then several dissimilarities, so
choice c is incorrect. Choice d is incorrect
because defnitions are not provided. Addi-
tionally, choice e is incorrect because the
passage does not open by stating a problem.
8. a. The word teeming is being used to describe the population of the bleachers of a baseball
stadium, to address the number of cheering
fans, so the best word to replace teeming also
relates to the many people in the (crowded)
bleachers. Choices b and c are incorrect
because rooting and energized do not show
the meaning of the word teeming. In choice
d, vacant is an antonym, not a synonym, of
teeming. The word teaming in choice e has a
spelling that is similar to the spelling of
teeming, but teaming is not a synonym of
teeming.
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9. e. The graph key identifes the bar that corre- sponds to movies and games. In the graph,
this bar rises higher for Atul than for the
other students. Choice a is incorrect because
the data in the chart do not address the
month of August, and it’s not reasonable to
infer that just because Pat spent more on
clothing in July, Pat will also spend more on
clothing in August. In fact, it could reason-
ably be argued that the converse is true, that
Pat would not need to spend money on
clothing in August after the clothing pur-
chases in July. Based on data in the graph,
choice b is incorrect because it is not possi-
ble to tell how much money each student is
saving. Choice c is incorrect because Maria
spent $25 on clothing and $15 on movies
and games. Based on data in the graph, it is
not possible to discern whether Atul’s par-
ents provide meals and snacks (choice d).
10. c. The total of the amounts for each type of expenditure is the greatest for Pat. Choices a,
b, d, and e are not supported by the data in
the graph.
11. d. Atul spent $5 on food and snacks, and he spent $10 for clothing––for a total of $15.
María spent $15 for clothing. The graph
depicts only expenditures of three students.
Based on the data, it is not possible to know
whether clothing prices were higher during
July than during other months of the year, so
choice a is incorrect. The graph does not
supply data regarding students shopping
together, making choice b incorrect. Choice
c is incorrect because, based on the data, it is
not possible to know whether clothing prices
were higher during July than during other
months of the year. For the combination of
food, snacks, movies, and games, Pat spent
$45. For clothing, Atul spent $10. Therefore
choice e is incorrect.
12. c. The author shows support for the statement in choice c in the anecdote about the group
of laughing travelers on the railway; because
you were not part of the group, you lacked a
connection and did not fnd the humor
funny. The statement in choice a is contra-
dicted throughout the passage. The fnal
sentence in the text supports choice b, but
the railway anecdote not does relate specif-
cally to the customs and ideas of a society.
Railway travel is not central to the argument,
so choice d is incorrect. Choice e is incorrect
because the author is not using the anecdote
to show that laughter is spontaneous.
13. a. The adverb rapturously, as it appears in the passage, describes the way the travelers in
the railway carriage are laughing. Laughing
rapturously equates to laughing enthusiasti-
cally. The travelers’ laughter is true because
the context of the sentence states that they
were laughing at something comic. Choices
b, c, d, and e are not supported by the
context.
14. d. The passage describes the introduction of British cotton technology to America, specif-
ically to New England. The passage does not
account for the decline of rural America or
contrast political views, so choices a and b
are incorrect. While the passage does men-
tion British laws forbidding the export of
industrial machinery (choice c), this is a
supporting detail, not the primary purpose
of the passage. Choice e is incorrect because
the passage does not provide a cogent argu-
ment in support of industrial development.
15. b. The passage references Houses of Industry as an example of the association of cloth man-
ufacturing with relief of the poor. Choices a,
c, d, and e are incorrect because they are not
supported by evidence in the passage.
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16. b. The mounting confict between the colonies and England––referenced in the frst sen-
tence of the passage––suggests that America
had political and economic reasons for
developing its own textile industry. While
there were certainly benefcial results from
the manufacturing, it cannot be inferred that
there were no negative effects (choice a).
Choices c, d, and e are incorrect because it is
not suggested in the passage that early
American manufacturing was symbolically
undemocratic, environmentally destructive,
or spiritually corrosive.
17. a. The description of Samuel Slater’s immigra- tion to America shows the deceptive mea-
sures necessary to evade British export laws
and introduce cotton technology to the colo-
nies. Slater posed as a farmer in order to
immigrate to America after committing to
memory the cotton technology he had
learned in an English factory. Choices b and
c are incorrect because the reason for includ-
ing this information was not primarily to
show the attraction of farming opportuni-
ties in the American colonies or to explain
the details of British manufacturing technol-
ogies. Americans were not trying to block
immigration to the colonies, so choice d is
incorrect. The British were attempting to
prevent the knowledge from being shared
with the colonies, making choice e incorrect.
18. a. The author does not offer Slater’s personal viewpoint on child labor, instead stating
only the fact that Slater hired young children
to work in his Rhode Island mill. Therefore,
based on evidence in the passage, it can be
inferred that he viewed child labor as an
available workforce. Because there is no
opinion regarding child labor expressed, it
cannot be inferred that Slater identifed the
labor as a necessary evil; therefore choices b
and c are incorrect. Choices d and e are
incorrect because there is no evidence in the
passage to support either inference.
19. c. According to the passage, the trained work- ers were instrumental in beginning the
spread of cotton mills in New England.
Slater did sail to America (choice a), but his
voyage was not the main catalyst. Choices b,
d, and e are not supported by any evidence
in the passage.
20. e. This response is supported by passage con- text. Choices a, b, c, and d are incorrect
because passage context does not support
these meanings.
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21. a. A statement of opinion is a statement that cannot be proven with facts; not everyone
may agree that a hippopotamus looks like a
pig or a cow, so choice a is merely an opin-
ion. However, it can be scientifcally proven
that the hippo is aggressive to predators
(choice b), weighs around 3,000 lbs. (choice
c), can run 19 miles per hour in short spurts
(choice d), and has tusks that measure more
than a foot long (choice e). These statistics
are all facts, not opinions.
22. c. The passage details Rudolph’s diffculties and shows how she overcame those diffcul-
ties to rise to great accomplishments.
Choices a, b, and d are incorrect because
they provide details about Wilma Rudolph
but do not summarize the main idea of the
passage. While choice e provides an accurate
statement, it does not summarize the
passage.
23. e. The fact that Theodore Roosevelt suffered from severe asthma as a child, but overcame
it as an adult, and then rose to great heights
makes his life most analogous to that of
Wilma Rudolph. While the situation stated
in choice a is similar to that identifed in the
question, the fact that Roosevelt acquired his
illness as an adult makes his situation less
analogous than the situation detailed in
answer choice e. Choice b, c, and d do not
present scenarios analogous to that of a
child overcoming a debilitating illness to
become successful as an adult.
24. a.
25. e.
26. c.
27. a.
The passage states that at the 1960 Olympics,
Rudolph won three gold medals. This is the
greatest accomplishment that Rudolph
achieved as a runner; therefore, it was her
zenith, or peak. A zenith is a high point.
Choice b is an antonym and would suggest
that this was the low point of Rudolph’s
career. Although the high point might be a
conclusion to a great deal of hard work, the
words zenith and conclusion are not synony-
mous (choice c). Choices d and e are incor-
rect because they do not show the meaning
of zenith.
The word sympathetic can be defned as
favorably inclined. Because the author pres-
ents details that support the need for a stu-
dent dress code, the adjective sympathetic
best describes the author’s attitude. Choices
a, b, and c are incorrect because the author
is supportive of a dress code. Additionally,
choice d is incorrect because being sympa-
thetic is not the same as being concerned
about a dress code.
The author holds the position that a dress
code is a good idea. This answer choice
offers the only statement that weakens this
argument. The statements in choices a, b,
and d strengthen the author’s argument.
Meanwhile, choice e is not relevant to the
author’s argument.
It cannot be proven that one player changed
the game of soccer more than any other
player. The statements in choices b, c, d, and
e could be proven true or false.
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28. a. The main idea of the passage focuses on Pelé being an amazing soccer player who helped
transform the sport. His name, place of
birth, and year of birth do not support this
main idea. The details mentioned in choices
b, c, d, and e greatly help to support the
main idea, which relates to Pelé being an
amazing soccer player who helped transform
the sport. The question asks which detail
supports the main idea the least.
29. c. The passage focuses on Pelé’s talent and his impact on the game of soccer. Because he
transformed his sport in a similar way, Babe
Ruth is most similar to Pelé. Choice a is
incorrect because while Cristiano Ronaldo
was a great soccer player, there is no indica-
tion in the statement that he transformed
the sport in the way Pelé did. Dilma Rousseff
(choice b) is from Brazil, but it is not indi-
cated that she infuenced a sport in the way
Pelé did. Charles Haley was a successful ath-
lete, but there is no indication that he had a
lasting impact on his sport (choice d).
Landon Donovan (choice e) was a great soc-
cer player, but there is no indication in the
statement that he transformed the sport in
the way Pelé did.
30. c. The passage explains that wolves once lived in the Yellowstone area––until confict with
humans caused them to disappear. Choices a
and e are not the main idea of the para-
graph. Choices b and d are too narrow to be
the main idea; they are supporting details.
31. a. Biologists hoped that wolves would help bal- ance the elk and coyote populations. Restor-
ing the park’s plant diversity (choice b) was
a factor, but it is not stated as the principal
motive, so this answer is incorrect. Ranchers
and farmers objected to the wolves killing
their livestock (choice c). Choice d is not
stated as the principal motive. Additionally,
there is no evidence to suggest that wolves
were reintroduced to increase tourism
(choice e).
32. d. This answer is supported by evidence in the passage. The passage suggests the legal def-
nition of endangered (choice a) but does not
explain it. Choice b is a true statement but is
not the best answer. The passage does not
explain why the wolves are endangered or
how science is utilized during the reintro-
duction, so choices c and e are incorrect.
33. b. The second paragraph describes the result of the wolf ’s disappearance. The paragraph is
not structured to compare and contrast, and
is not organized by classifcation, so choices
a and e are incorrect. Although the events
occur in chronological order, choice c, they
are organized to show cause and effect.
Events are not provided in order of impor-
tance, making choice d incorrect.
34. d. The author concludes the article by listing some of the positive effects of the wolf ’s
return: beaver and red fox populations are
being restored, and elk and coyote popula-
tions are balancing to normal levels. There is
no indication that the program was a mis-
take (choice a). Choice b is a supporting
detail and is not suffciently broad to be the
main idea; on the other hand, choice e is too
broad. Choice c is too general; the article
addresses only Yellowstone Park and does
not reference reintroduction in other
national parks.
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35. e. The author’s argument focuses on the rein- troduction of the gray wolf as being benef-
cial. The only statement that provides a
defnitively negative result of the reintroduc-
tion would be a decrease of benefcial gray
wolf characteristics. Choices a and c fail to
strengthen or weaken the argument. Choices
b and d provide a positive effect of the rein-
troduction, so it would strengthen the
author’s argument. The question asks for the
statement that would most weaken the
argument.
36. c. Like the gray wolf, the muskox was driven to extinction within a particular geographic
area; it was then reintroduced to those lands
at a later date. The polar bear is threatened,
but the statement does not indicate that it
has been reintroduced (choice a). The pos-
sum (choice b) was introduced to New Zea-
land, causing environmental havoc, but the
statement does not indicate that it was rein-
troduced there. The moa was hunted to
extinction centuries ago; however, the state-
ment does not indicate that it was ever rein-
troduced (choice d). The statement does not
indicate that the house cat has been in dan-
ger of extinction (choice e).
37. b. The author discusses the numbering system for U.S. presidents; then the author provides
a more rational numbering system. There-
fore, the author most likely believes that the
current system is illogical. Choices a and e
represent the opposite of the author’s opin-
ion, and choices c and d are not supported
by evidence in the passage.
38. b. An anomaly is an abnormality or irregular- ity. Choices a, c, d, and e are not synonyms
of anomaly.
39. b. The two passages provide details about the development of the bicycle from 1818 (the
early 1800s) through 1893 (the late 1800s).
Choice a includes only some of the details
from Passage 2. Neither passage includes the
details from choice c. Choice d includes
information from only Passage 1. Choice e
includes information that contradicts infor-
mation in the passages.
40. b. The passage states that the iron rims kept the tires from getting worn down. This is in con-
trast to the earlier fragile model from 1818.
Therefore, Macmillan increased the durabil-
ity of the bicycle. It might be tempting to
suggest that Macmillan’s improvements to
the bicycle improved its effciency, but there
is no direct correlation in the passage from
his improvements to energy effciency
(choice a). The passage states that Macmil-
lan’s bicycles were never produced in large
numbers; therefore, there is no indication
that he helped the bicycle to be ridden by the
masses (choice c). Although the passage says
that Macmillan’s bicycles could be ridden
easily, lighter weight (choice d) is not a clear
correlation. One of the wheels in Macmil-
lan’s bicycle design was much larger than the
other, but it was not the front wheel that was
larger (choice e).
41. e. Based on the passage, this was the order of the improvements. Choice a does not show
the correct order. The inclusion of gears on
pedals did not occur until 10 years after
Pierre and Ernest Michaux created the
improved crank mechanism (choice b).
According to details, the easy braking repre-
sents a further improvement that Lawson
made only after attaching a chain to the ped-
als to drive the rear wheel (choice c). The list
of improvements to the bicycle’s design in
choice d is provided in alphabetical order,
rather than chronological order.
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42. b. Like the automobile, the bicycle was devel- oped during a long period of time and
through the contributions of many inven-
tors. Choice a is incorrect, because unlike a
hot air balloon, a bicycle does not transport
multiple passengers over long distances. The
space station (choice c) might have been
constructed throughout several years, but
the bicycle was not; it was improved upon,
not built, during a long time period. There
was no single specifc technological advance
(choice d) that led to the development of the
bicycle. Transporting many passengers was
not instrumental in the development of the
bicycle (choice e).
43. b. The instrument referenced in the passage is a foot-operated crank that improved the rid-
ing experience, so the crank is a tool. The
word instrument can mean item to produce
musical sound, such as a guitar or a piano;
however, the passage does not relate to
music, so context indicates that the defni-
tion of instrument in choice a is incorrect.
Choices c and e each show one defnition of
instrument; however, the context does not
support these meanings. Choice d is not a
correct meaning of instrument.
44. c. Details of a series of modifcations made to the design of the bicycle throughout the
years are chronicled. These modifcations
improved its usability. Therefore, it would be
reasonable to predict that additional modif-
cations would be made to continue develop-
ment. Based on details, it can be inferred
that additional changes will likely occur,
making choice a incorrect. Choices b, d, and
e are not supported by evidence in the
passage.
45. c. The passages state that Baron Karl de Drais de Sauerbrun invented the earliest bicycle.
Pierre and Ernest Michaux invented the ear-
liest bicycle discussed in the second passage,
but the question asks for the earliest bicycle
discussed in both passages, so choice a is
incorrect. Choices b, d, and e are incorrect
simply because these people did not invent
the earliest bicycle.
46. c. The sentence that precedes this statement in the text suggests that Plato used a metaphor
to convey his ideas. This sentence then pro-
vides details of the metaphor, describing the
people inside the cave as seeing only the
shadows of those passing by. The concept of
living in a world of shadows might be diff-
cult to grasp without a description to pro-
vide perspective. The illustrative concept of
living within the walls of the cave does pro-
vide an understandable context. Choice a is
incorrect because the sentence does not pro-
vide any sort of concrete evidence––no
indisputable proof or confrmation––that
Plato’s philosophical idea was, in fact, true.
Choice b is a literal interpretation that does
not support the author’s claims. The
description of a cave is not offered to pro-
vide a setting (choice d) for a story. Choice e
also does not logically support the author’s
claims.
47. d. The word position has more than one mean- ing. Context makes it clear that in this sen-
tence, the word position refers to Plato’s
argument, his point, which is his opinion.
Choices a and b are incorrect because these
meanings of position are not supported by
context. Choices c and e do not show the
correct meaning of position.
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48. d. The author follows the portrayal of the con- tinents as puzzle pieces with a physical
description of their shapes. This shows that
the author is supporting the description of
the physical relationship between the conti-
nents. The author does not make claims to
contrast signifcant differences of the conti-
nents, making choice a incorrect. Choice b is
incorrect because the author is not detailing
a mystery. The author does not minimize the
geological importance of the continents, so
choice c is incorrect. Additionally, the author
is not focusing on problems that scientists
faced in determining causes of continental
drift, so choice e is incorrect as well.
49. b. The author uses the word cursory to suggest that it would not take much time to notice
an obvious pattern in the globe’s continental
patterns. Choice a is an antonym, not a syn-
onym, so it is incorrect. Choices c, d, and e
do not show meanings of cursory and are
not supported by passage context.
50. b. The author makes the argument that the African and South American continents
were once joined. If the same plant were
found to have lived on both continents, this
would lend support to that argument.
Choice a does not relate closely enough to
the author’s main argument that the African
and South American continents were once
joined. Choice c is not relevant to the
author’s main argument. If species were
unique to each continent alone, choice d
would not strengthen the author’s argument.
Choice e is too general to signifcantly
strengthen the author’s main argument.
51. e. The fnal sentence of the passage states that plates can move in different directions,
which has resulted in the current positions
of the continents. Therefore, this answer
choice provides a reasonable statement.
Alfred Wegener developed the theory of
continental drift, but the theory of plate tec-
tonics followed later; the passage does not
suggest who proposed the theory of plate
tectonics, but the statement in choice a can-
not be inferred. Although the passage states
that at one point no ocean existed between
Africa and South America, this does not
indicate that Earth had no oceans (choice b).
The passage does not compare the sizes of
the continents (choice c); it compares their
shapes. Passage evidence does not support
choice d.
52. d. An opinion is a statement that cannot be proven true or false. It cannot be proven true
or false that Hawaii has perfect weather, as
perfect weather is a matter of opinion. Some
people might like cold weather. Some people
might like warm weather. Choices a, b, c,
and e can be proven true or false, so they are
statements of fact.
53. a. The passage contrasts the climate extremes in the United States, comparing very cold
temperatures to torrid temperatures. There-
fore, torrid must have the opposite meaning
of very cold; the best answer choice to
describe that opposite temperature is swel-
tering. The temperatures might be dissimilar
(choice b), but the word torrid does not
mean dissimilar. The word glacial in choice c
does not describe hot weather. The word
lukewarm does not describe hot weather
(choice d). While a torrid temperature might
be uncomfortable, the word torrid does not
mean uncomfortable (choice e).
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54. d. The frst paragraph of this short passage deals with the symptoms of sleep depriva-
tion, and the second paragraph discusses the
dangers of failure to obtain a suffcient
amount of sleep. Choices a and e do not
show the primary purpose of the passage.
Choice b is too narrow to refect the pas-
sage’s primary purpose. Choice c is not sup-
ported by the passage.
55. a. The image of burning the candle at both ends connotes a state of working hard with-
out adequate rest. Evidence in the passage
does not support choices b, d, or e. Choice c
shows the literal meaning of the phrase; the
author is using the phrase to offer a fgura-
tive meaning.
56. b. The word norm most nearly means custom or normal. Therefore, the word standard
would result in the most minimal change in
meaning. Choices a and d are antonyms, not
synonyms. While sleep deprivation is dan-
gerous (choice c), the word norm does not
mean danger. Context makes it clear that
abnormal sleepiness is not ideal (choice e).
Praxis® Core Academic Skills for Educators:
Writing Practice Test 4
Part I: Multiple-Choice
Time: 40 Minutes
Directions: Each of the following 15 questions con-
sists of a sentence that contains four underlined por-
tions. Read each sentence, and decide whether any of
the underlined parts contains an element that would
be considered incorrect or inappropriate in carefully
written English. The error or concern may be in
grammatical construction, word use, punctuation, or
capitalization. Select the underlined portion that
must be revised to produce a correct sentence. If a
sentence contains no errors, select “No error.” No
sentence contains more than one error.
1. I have all ways been enamored of the concept a
that through computer modeling, we can create b c
an executable model to test a complex system. d
No error e
2. During World War II, the Allies stormed a
Italy and then would launch a massive assault. b c d
No error e
3. Lin and Morgan shared a their daily nutrition a
plan, we weren’t surprised to discover that it b c
included fber, fruit, and protein. No error d e
4. In my opinion, watching a psychological thriller a b
is more interesting than a general drama flm. c d
No error e
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5. Not only did the unexpected blizzard prevent a
us from leaving the house to go to work, and b c d
the frigid conditions also resulted in burst
pipes. No error e
6. Peoples’ interests differ substantially regarding a b
careers and hobbies; otherwise, this would be a c d
boring world. No error e
7. Oscar and Pat did good in the dance a
competition; they were confdent that they b c
would continue their winning streak in the
few dance competitions remaining in the d
season. No error e
8. Last week, the Hollywood trainer lead the dogs a b
through the exercises to prepare them for the c d
movie scene. No error e
9. Our cousins are from Italy and speak fuent a b
Italian, and they also speak English, French, c d
and Portuguese. No error e
10. Stunned by the audacity of the coworker, it a b c
was turning into a volatile workplace. No error d e
11. The other Senators listened to their colleague, a b
who advocated flibusters for the purpose of
drawing attention to specifc causes. No error c d e
12. Believe it or not, several of our revered a
artists, such as Michelangelo and Leonardo b
da Vinci, lived and created their masterpieces c
during the Middle Ages. No error d e
13. Just among the three of us, I’d have to say that a b
the surprise party is a big mistake; however, I c
know that most of our friends disagree. d
No error e
14. Ana’s sisters arrived to drive the carpool home from soccer practice, so Ana and her friend
a
grabbed their backpacks and extra gear because b
their sisters were in a hurry. No error c d e
15. The journalist reported, “Of the four people a
running for the governorship, Reynolds is the
less likely to win; this is due to progressive b c d
views that do not appeal to a broad base of the
electorate.” No error e
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Directions: In each of the following questions, part
of the sentence or the entire sentence has been under-
lined. Beneath each sentence, the underlined words
are written in fve ways. The frst option repeats the
original underlined content, but the other four differ.
If the original sentence is the best option, select the
frst choice; otherwise, select one of the other choices.
This part of the test measures correctness and effec-
tiveness of expression. Pay particular attention to
usage in grammar, word choice, sentence construc-
tion, capitalization, and punctuation. Select the
option that best expresses information presented in
the original sentence. Your answer should be free of
awkwardness, ambiguity, and redundancy.
16. Keisha and Lara worked out the project details themself.
a. themself
b. herselves
c. themselves
d. herself
e. ourselves
17. The teaching assistant asked them to take the books to her and I.
a. her and I
b. she and I
c. her and me
d. she and we
e. we and I
18. My mother who is a flm director is teaching a seminar for flm students attending New York
University.
a. mother who is a flm director is
b. mother, who is a flm director, is
c. mother who is a flm director, is
d. mother, whom is a flm director, is
e. mother, who is a flm director is
19. As soon as they came in from the icy tempera- tures, the children put away their jacket and hat.
a. children put away their jacket and hat
b. children put away their jacket’s and hat’s
c. children put away their jackets and hats
d. children puts away their jackets and hats
e. children’s put away their jacket and hat
20. We cant recall why the mistakes were made, but were certain we will not repeat those mis-
takes in the future.
a. We cant recall why the mistakes were made,
but were certain
b. We can’t recall why the mistakes we’re made,
but we’re certain
c. We cant recall why the mistakes we’re made,
but we’re certain
d. We can’t recall why the mistakes were made,
but we’re certain
e. We can’t recall why the mistakes we’re made,
but were certain
21. The students joined together with their teach- ers for an assembly in the gymnasium.
a. joined together with
b. joined with
c. joining
d. will be joining together with
e. joined
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22. Currently playing the lead role in a new televi- sion series, you should give a warm round of
applause for Daniella, a rising star.
a. Currently playing the lead role in a new
television series, you should give a warm
round of applause for Daniella, a rising star.
b. You should give a warm round of applause,
currently playing the lead role in a new
television series, for Daniella, a rising star.
c. Currently playing the lead role in a new
television series, you should give a warm
round of applause for a rising star, Daniella.
d. You should give a warm round of applause
for Daniella, a rising star currently playing
the lead role in a new television series.
e. Currently play the lead role in a new
television series. You should give a warm
round of applause for Daniella, a rising star
in a television series.
23. It had been a decade since his Grandmother had published a new Bestseller, but she had
continued to prove herself a prolifc author.
a. his Grandmother had published a new
Bestseller
b. his Grandmother had published a new
bestseller
c. His grandmother had published a new
Bestseller
d. his grandmother had published a new
bestseller
e. His Grandmother had published a new
Bestseller
24. The sun shining on the ocean, dappling ocean waves with golden dots.
a. The sun shining on the ocean, dappling
ocean waves with golden dots.
b. The sun, shining on the ocean; dappling
ocean waves with golden dots.
c. The sun, shining on the ocean. Dappling
ocean waves with golden dots.
d. The sun. Was shining. On the ocean,
dappling ocean waves with golden dots.
e. The sun was shining on the ocean, dappling
ocean waves with golden dots.
25. He hadn’t been expecting the change in per- sonnel, so when the change was announced,
he was shocked and said, “You could have
knocked me over with a feather.”
a. “You could have knocked me over with a
feather.”
b. “That’s the way the cookie crumbles.”
c. “Take the tiger by the tail.”
d. “What a ball of fre!”
e. “Stop bugging me!”
26. Not only did we inadvertently write the wrong address on the invitations, but we also forgot to
include a telephone number.
a. but
b. nor
c. or
d. and
e. neither
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27. We never knew anybody who could fnish a test so quickly.
a. We never knew anybody who could fnish a
test so quickly.
b. We’ve never knew nobody who could fnish
a test so quickly.
c. We never knew nobody who could fnish a
test so quickly.
d. We never knew anybody who could fnish a
test so quick.
e. We never knew nobody who could fnish a
test so quick.
28. When my cousin arrived for a visit last month, we see friends, go to a play, and eat at our
favorite restaurant.
a. we see friends, go to a play, and eat at our
favorite restaurant
b. we saw friends, went to a play, and ate at our
favorite restaurant
c. we seen friends, went to a play, and eaten at
our favorite restaurant
d. we will see friends, go to a play, and eat at
our favorite restaurant
e. we sees friends, goes to a play, and eats at
our favorite restaurant
29. Each of the ten musical artists in the men’s choral group believed their group would take
top honors at the competition.
a. men’s choral group believed their group
b. men’s choral group believed there group
c. men’s choral group believed his group
d. mens’ choral group believed their group
e. mens choral group believed his group
Directions: Some parts of the following passage need
to be improved. Read the passage and then answer
the questions about specifc sentences. In choosing
your answers, pay attention to development, organi-
zation, word choice, tone, and the standards of writ-
ten English.
(1) Moving can be a stressful endeavor; how-
ever, with the proper preparation, all can go
smoothly.
(2) Initially, it is important to base decisions on
whether the move is a local move or one that
will take you across the country––or perhaps to
a different country––as it can be the most diff-
cult of moves.
(3) This article covers national moves, but not
international moves.
(4) Are you moving within the same city? You
might try some good ideas: consider asking
friends to help you pack and move. (5) If you
are moving a great distance, however, you will
likely need to hire a moving company. (6) To do
a good job of locating a moving company to
best meet your needs, ask friends, colleagues,
and neighbors. (7) Additionally, perform Web
searches to fnd others’ comments about mov-
ers. (8) The National Moving, Packing, and
Transportation Organization maintains a list of
recommended movers and pertinent questions
to ask as you are considering a move.
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(9) If you are packing your own items for a
local move, if you are taking some of the items
to the new location yourself, the packing likely
will not require as much cushioning and wrap-
ping paper. (10) Your items will not be jostled
in a large truck for a long period of time. (11)
The basic fundamentals of environmental
responsibility give rise to an idea you might not
have considered. (12) Be certain to advise oth-
ers of your new address. (13) Instead of the tra-
ditional cardboard boxes, you might consider
obtaining plastic reusable moving crates from a
company specializing in this environmentally
friendly option. (14) This option will allow you
to have the crates delivered, and you can pack
them yourself. (15) Then you can have them
picked up from your new location.
30. Which is the most effective way to write sen- tence 2 (reproduced here)?
Initially, it is important to base decisions on
whether the move is a local move or one that
will take you across the country––or perhaps
to a different country––as it can be the most
diffcult of moves.
a. As it is now.
b. Initially, it is important to base decisions on
whether the move is a local move or one that
will take you across the country. Diffcult.
c. Initially, it is important to base decisions on
whether the move is a local move or one that
will take you across the country or to a
different country, as it can be the most
diffcult of moves.
d. Initially, it is important to base decisions on
whether the move is a local move or one that
will take you across the country––or perhaps
to a different country––as an international
move can be the most diffcult of moves.
e. Initially, it is important to make decisions.
On whether the move is a local move or one
that will take you across the country. Some
moves are diffcult.
31. How can sentence 6 (reproduced here) best be written?
To do a good job of locating a moving
company to best meet your needs, ask
friends, colleagues, and neighbors.
a. As it is now.
b. To do a good job of locating a moving
company, ask others.
c. Do a good job of locating a moving
company to meet your needs.
d. To do an effective job of locating a moving
company to best meet your needs, ask
friends, colleagues, and neighbors.
e. To locate a moving company, talk to other
people who you think might have
information that could possibly help you as
you look to fnd a moving company.
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32. What is the correct and most effective way to write sentence 8 (reproduced here)?
The National Moving, Packing, and
Transportation Organization maintains a list
of recommended movers and pertinent
questions to ask as you are considering a
move.
a. As it is now.
b. The National Moving, Packing, and
Transportation organization maintains a list
of recommended movers and pertinent
questions to ask as you are considering a
move.
c. The national Moving, Packing, and
Transportation Organization maintains a list
of recommended movers and pertinent
questions to ask as you are considering a
move.
d. The National moving, Packing, And
Transportation Organization maintains a list
of recommended movers and pertinent
questions to ask as you are considering a
move.
e. the National Moving, Packing, and
Transportation Organization maintains a list
of recommended movers and pertinent
questions to ask as you are considering a
move.
33. What is the most effective way to write sen- tence 9 (reproduced here)?
If you are packing your own items for a local
move, if you are taking some of the items to
the new location yourself, the packing likely
will not require as much cushioning and
wrapping paper.
a. As it is now.
b. If you are packing your own items for a local
move if you are taking some of the items to
the new location yourself the packing likely
will not require as much cushioning and
wrapping paper.
c. If you are packing your own items for a local
move. If you are taking some of the items to
the new location yourself, the packing likely
will not require as much cushioning and
wrapping paper.
d. If you are packing your own items for a local
move, if you are taking. Some of the items to
the new location yourself, the packing likely
will not require as much cushioning and
wrapping paper.
e. If you are packing your own items for a local
move, and if you are taking some of the
items to the new location yourself, the
packing likely will not require as much
cushioning and wrapping paper.
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34. What is the most effective way to write sen- tence 11 (reproduced here)?
The basic fundamentals of environmental
responsibility give rise to an idea you might
not have considered.
a. As it is now.
b. The basic fundamentals of environmental
responsibility give rise to an idea you might
knot have considered.
c. The fundamentals of environmental
responsibility give rise to an idea you might
not have considered.
d. The environmental responsibility give rise to
an idea you might not have considered.
e. The fundamentals of environmental
responsibility, an idea you might not have
considered.
35. To eliminate an irrelevant sentence, which sen- tence in the fnal paragraph should be deleted?
a. Your items will not be jostled in a large truck
for a long period of time.
b. Be certain to advise others of your new
address.
c. Instead of the traditional cardboard boxes,
you might consider obtaining plastic
reusable moving crates from a company
specializing in this environmentally friendly
option.
d. This option will allow you to have the crates
delivered, and you can pack them yourself.
e. Then you can have them picked up from
your new location.
36. Which sentence would be the most effective concluding sentence to add to the passage?
a. Organizations are available to help with
moving.
b. Local moves are easier than international
moves.
c. Careful preparation can result in effective
packing and moving.
d. Friends and neighbors can be important
resources as you plan a move.
e. The environment is an important
consideration when you prepare to move.
Research Skills Directions for questions 37 through 40: The ques-
tions that follow will measure your basic research
skills. Read each question and then select the best
option.
37. Read the following citation. Salazar, Joanne, Dinah Feldstein, and
Michael Johnston. Analyzing the Supreme
Court Justices: 1950–Present. 3rd ed. New
York: National Considerations Publishing,
2015. Print.
Based on the citation, which of the following is
accurate?
a. There are three authors of this work.
b. The work has been published online.
c. The work was frst published in 1950.
d. Supreme Court justices wrote the work.
e. This is the second edition of the work.
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38. Which information would be most relevant to and provide the strongest support of the opin-
ion stated here?
Opinion:
Admission to the city’s neighborhood
swimming pools should be free on
Thursdays through Sundays during
the summer.
a. All pools allow for ample parking.
b. Exercise and a place to gather for activities
are important to all families, and this service
is provided by the pools.
c. All pool cleaning systems are currently in
working order.
d. Lifeguards have been hired to staff pools for
the season, and pools will be safe for all
people in the neighborhood.
e. All pools are in serious need of repair.
39. Which would be the most effective and credi- ble for obtaining primary source, in-depth evi-
dence for a research project focused on a
recently discovered rare local plant?
a. photograph of the rare local plant
b. interview with a local botanist who
specializes in rare plants
c. print or electronic encyclopedia article
regarding rare plants
d. questionnaire that has been completed by a
local offcial in the parks department
e. discussion with students regarding
completed fact-fnding about the rare plant
40. Which best explains why a narrowing triangle can be an important tool in the process of
completing a research paper?
a. Specifc sources for research are clarifed
through a narrowing triangle.
b. Content for the middle of a research paper
can be quickly formulated through a
narrowing triangle.
c. Information can be drawn from the outline
to apply to the research paper while using
the narrowing triangle.
d. Unnecessary time can be invested when
in-depth research is conducted for broad
topics prior to developing a narrowing
triangle.
e. A conclusion for the research paper can
easily be generated through a narrowing
triangle.
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Part IIa: Argumentative Essay
Time: 30 Minutes
Directions: Read the opinion stated here. To what extent do you agree or disagree with this opinion? Support
your views with specifc reasons and examples from your own experiences, observations, or reading. Allow 30
minutes for your essay.
Paparazzi, roving photographers of celebrities, are lazy slackers. They should be subject to civil fnes and
criminal penalties when they take photographs while celebrities are participating in activities for their
personal lives. There should also be fnes and criminal penalties when the paparazzi approach young chil-
dren of celebrities to take their photos.
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Source-Based Essay
Time: 30 Minutes
Directions: The following essay assignment asks that you to use information from two different sources to dis-
cuss the most important concerns that relate to a specifc issue. Allow 30 minutes to write your essay.
Travel to the Moon by humans has been an ongoing source of debate in the United States for many
decades. On July 20, 1969, Neil Armstrong, Buzz Aldrin, and Michael Collins traveled to the Moon. Arm-
strong became the frst human to step onto the lunar surface. Since that time, proponents and opponents
of human lunar travel have frmly stood their ground. Each side has made compelling arguments regard-
ing the potential return of humans to the Moon. During his tenure as U.S. president, Barack Obama
made the decision to suspend plans for future human lunar missions, including the goal of again sending
a human to the Moon by 2015. He referenced the expense of this endeavor and the current needs of peo-
ple on Earth.
Read the two passages carefully and then write an essay in which you identify the most important concerns
regarding the issue and explain why they are important. Your essay must draw on information from BOTH of
the sources. In addition, you may draw on your own experiences, observations, or reading. Be sure to CITE the
sources whether you are paraphrasing or directly quoting.
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Source 1
The United States should reinstate programs for human missions to the Moon. There is a great deal to be learned from such travel. Humans can much more effectively conduct research than the research conducted by robotic probes and rovers. There simply is no replacement for human ana- lytical skills and decisions to be made as research is being conducted. A robotic rover simply lacks this capability, and the clunky “arms” of a robotic rover are not able to carefully and delicately extract and examine samples from the lunar surface.
Earlier lunar missions explored only an infinitesimally small quantity of the Moon’s surface. There is a great deal more area to explore.
The Moon holds many possibilities for people on Earth. For example, human colonies on the Moon might one day be possible. Without initial human travel to the Moon and research regarding the conditions, however, such colonization would not be possible. There are many risks of cataclys- mic events on Earth, including massive volcanic eruptions and asteroid strikes. It is important to begin now to explore potential human habitation of locations other than Earth. . . . It is true that lunar travel and exploration are expensive; however, what price is too steep to place on the poten- tial survival of humanity in the face of potential epic disaster?
The United States must maintain its position at the forefront of other nations in the world. This is important for a variety of reasons, not the least of which is security. It is believed that China, Japan, India, and other nations are working to develop programs for human lunar exploration. While it is not now known exactly what types of weapons or other resources might be developed from a lunar stronghold, it is certainly important that the United States not place itself behind other coun- tries by giving up on lunar exploration. . . .
Adapted from: Patel, Sanjeev. Research and Frontiers: The Moon. New York: Powerful Travel Publish- ing, 2014. 303–312. Web. 5 Oct. 2014.
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Source 2
President Obama made the right decision when he suspended plans for human lunar missions, including suspending the goal of sending another human to the Moon by 2015. Human lunar mis- sions cost millions of dollars, and there are so many needs here on Earth for those funds.
A human can spend only a short time on the Moon. It makes a great deal more sense to send a robotic rover to the Moon, just as the United States did with the Mars Rovers for Mars exploration. A robotic rover is able to perform many functions that a scientist can perform, and it can remain on a planet for many years without the expense of a return mission. It can feed data back to scientists on Earth. And the cost of sending a robotic rover to the Moon is substantially less than the cost of sending a human to the Moon.
The assertion that humans might colonize the Moon is so remote a possibility as to be laugh- able. In order for humans to live on the Moon, it would be necessary to devise and develop some sort artificial atmosphere under a dome or similar structure. This is far beyond the technology avail- able today or at any point in the foreseeable future.
Certainly, these comments are not meant to pummel any and all ideas of human travel to the Moon. It is feasible for private companies to send humans to the Moon. Indeed, private companies have already begun launches into space from Earth. Should a private U.S. company be motivated by vanity or potential revenue to continue such endeavors, this activity should not be denigrated. Such activity does not dip into the pocketbooks and needs of Americans. Such activity does not require revenue from the U.S. government, revenue that would be better spent in taking care of more pressing needs. . . .
Adapted from: Chin, Midori. “Balancing Priorities: Earth and Moon.” Standard Observation Legal Analysis. 14.3 (2012): 168. Web. 5 Oct. 2014.
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Praxis® Core Academic Skills for Educators:
Writing Practice Test 4 Answers and Explanations
1. a. The phrase all ways refers to a number of methods. The word always is the adverb that
tells when, so this phrase would correctly be
written always been enamored. The preposi-
tion through (choice b) is correct in the sen-
tence. A comma must follow the
introductory clause, as is done in choice c.
The article an and adjective executable in
choice d correctly modify the noun model.
2. c. The phrase would launch represents a shift in tense from the past-tense verb in the preced-
ing clause. The capitalization and comma
are required in choice a. In choice b the
proper noun Italy must be capitalized, and
no comma is required preceding the word
and, as it does not connect two independent
clauses. There are no errors in the adjective
and noun in choice d.
3. b. This is a run-on, as a comma has been placed to separate two independent clauses.
A semicolon would be the correct punctua-
tion. The possessive adjective their in choice
a is correct, as it agrees with its antecedent,
Lin and Morgan. The pronoun it in choice c
references plan, so it is correct. The verb
included in choice d does not represent a
shift in tense, as it is in the same tense as the
verb shared in the preceding clause.
4. d. The sentence lacks parallel structure. For the sentence to be correct, parallelism would be
required: watching a psychological thriller is
more interesting than watching a general
drama flm. The introductory phrase in
choice a is correctly punctuated by a comma.
The adjective psychological correctly modi-
fes the noun thriller in choice b. The phrase
more interesting in choice c correctly follows
the verb is.
5. d. The phrase not only appears in the frst clause, so but, not and, is the correct con-
junction in the second clause. The adjective
in choice a, unexpected, and noun blizzard
are correct. The pronoun us is correct in
choice b. The phrase to go to work is correct
in choice c.
6. a. The word people is the plural form of the word person. The apostrophe to form the
possessive form of people must precede the
letter s, not follow it: people’s. The verb differ
agrees with the subject interests, and the
adverb substantially is correct in choice b.
The semicolon in choice c correctly separates
two independent clauses, and the comma
correctly follows otherwise. The phrase
would be, conditional, is correct in choice d.
7. a. The word good modifes the verb did. Good is an adjective, so it is incorrect. An adverb is
required to modify a verb. The correct word
would be the adverb well. The semicolon in
choice b is the correct punctuation to join
two independent clauses. The antecedent of
the pronoun they is Oscar and Pat, so they is
the correct pronoun to use in choice c. The
adjective few in choice d is correct, as it
modifes competitions.
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8. b. The correct word would be led, the past tense of to lead. The introductory clause last
week makes it clear that the action in the
sentence occurred in the past. The comma
must appear after the introductory phrase,
and Hollywood must be capitalized, as it is a
proper adjective (choice a). The preposition
and its object are correct as used in choice c.
The pronoun them agrees with its anteced-
ent: dogs (choice d).
9. e. There are no errors in the conventions of standard grammar and usage in this sen-
tence. The plural form of the verb, are,
agrees with the plural subject, cousins
(choice a). The word Italy is correctly capi-
talized, as it names a country. No comma is
required before the word and (choice b).
The comma must precede the word and, as
the word and joins two independent clauses
as it does in choice c. Commas are required
to separate the items in the list (choice d).
10. c. The pronoun it is vague in this sentence. Based on the content of the sentence, it is
not possible to determine the antecedent. To
correct the sentence, it would be necessary to
frst determine what is being referenced by
the pronoun it. The noun audacity is used
and spelled correctly in choice a. In choice b
the word coworker is correctly spelled. Addi-
tionally, the comma that follows coworker is
correct, as it follows an introductory clause.
The adjective volatile is correctly spelled and
used in choice d, and workplace is a single
compound word.
11. a. The word senators is a common noun, not a proper noun. It does not name specifc sena-
tors, so it should not be capitalized. The pos-
sessive pronoun their (choice b) agrees with
the plural noun senators. The word to is cor-
rectly spelled in choice c. The adjective spe-
cifc is spelled correctly and correctly
modifes the noun causes in choice d.
12. e. The sentence is free of errors. The comma is correctly placed in choice a. The clause in
choice b, such as Michelangelo and Leonardo
da Vinci, must be set off by commas, as it is a
nonessential clause. The verb created as used
in choice c is in the same tense as the verb
lived. The proper noun Middle Ages names a
specifc period in history, so it must be capi-
talized (choice d).
13. e. The sentence is free of errors. Among is cor- rect, as three people are referenced in choice
a. The apostrophe in choice b is correctly
placed in the contraction I’d. Two indepen-
dent clauses are joined by however in choice
c. The semicolon preceding and comma fol-
lowing however provide the correct punctua-
tion. The plural possessive pronoun our
agrees with the three of us in choice d.
14. c. The possessive pronoun must agree with Ana, so the possessive pronoun must be sin-
gular: her, not their. The comma used in
choice a is correctly placed before so. The
word backpack is a compound word; it is
spelled and used correctly in choice b. The
verb does not represent a shift in tense in
choice d.
15. b. The adjective less would be correct in com- parison of two people or things. In this sen-
tence, four people are being compared, so
least would be the correct adjective. The
punctuation that precedes the spoken words
in choice a (a comma with an opening quo-
tation mark) is correct. A semicolon cor-
rectly separates the two independent clauses
in choice c. The word due is spelled and used
correctly in choice d.
16. c. The correct intensive pronoun agrees with Keisha and Taylor, so the correct word is
themselves. Because choices a, d, and e do not
agree, they are incorrect. Herselves (choice b)
is not a word. The correct intensive pronoun
agrees with Keisha and Taylor, so the correct
word is themselves.
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17. c. The direct objects are in the correct case— objective case. The pronoun her in choice a
is correct, as it is in the objective case (the
case for a direct object), but the pronoun I is
incorrect, as it is in the nominative case (the
case for a subject). In choices b, d, and e the
direct objects are in nominative case, rather
than objective case (her and me).
18. b. The clause who is a flm director is a nones- sential clause, so it must be set off from the
rest of the sentence by commas. If the writer
had several mothers, only one of whom was
a flm director, and if this information were
essential to the meaning of the sentence,
then the commas would not be required.
19. c. The noun in the subject, children, is plural. The nouns in the predicate must agree with
the plural subject. The nouns in the predi-
cate, jackets and hats, are plural, so they
agree with the plural subject.
20. d. An apostrophe is required for can’t recall and we’re certain but not for were made, as were
is a verb in the phrase were made.
21. e. The phrase joined together with is redundant. The word joined––without the word together
or with––is correct. Choice a is incorrect
because the phrase joined together with is
redundant. Additionally, choices b and d are
also redundant. Choice c is incorrect because
the word joining does not provide the verb
required by the sentence.
22. d. As originally written, the sentence means that you are currently playing the lead role in
a new television series. The modifer is mis-
placed. The sentence in choice d, however,
corrects the problem by properly placing the
modifer. Choices a, b, c, and e are incorrect
because the modifers are misplaced.
23. d. The noun grandmother is a common noun; it does not name a specifc grandmother, so
the word grandmother is not capitalized. The
word bestseller is also a common noun; it
does not name a specifc bestseller, so it is
not capitalized.
24. e. This is a complete sentence. The remaining answer choices are fragments.
25. a. This idiom means that someone was very surprised. The remaining choices do not
indicate shock.
26. a. The phrase not only appears in the frst clause, so but is the correct coordinating
conjunction in the second clause. Due to use
of not only and also, using nor (choice b) and
neither (choice e) is incorrect. Or (choice c)
is not the correct coordinating conjunction
for use with not only and also. Use of the
phrase not only in the frst clause and use of
the word also in the second clause requires a
different coordinating conjunction than
used in choice d.
27. a. Grammar and usage in the sentence are cor- rect. The past participle that should be used
in choice b is known, not knew. Additionally,
this sentence and choice c include a double
negative: never and nobody. Choices d and e
are incorrect because the word quick in the
sentence modifes the verb fnish, so this
modifer should be an adverb (quickly), not
an adjective (quick). Additionally, the use of
never and nobody in choice e creates a double
negative.
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28. b. The verbs in the independent clause must comport to the verb in the dependent clause
in number and tense. The verbs saw, went,
and ate comport to the verb arrived in per-
son and number. Due to the phrase last
month and the verb arrived, the verbs in the
independent clause must be in the past
tense, which isn’t the case in choice a. The
verbs in the independent clause must com-
port to the verb arrived in the dependent
clause. In choice c, the verb went comports
to arrived, but the words seen and eaten are
participles, so this answer choice is incorrect.
The verbs in the independent clause must
comport to the verb in the dependent clause
in number and tense, so choice d is incor-
rect. The verbs in choice e do not agree with
the subject.
29. c. The possessive pronoun he agrees with the singular each. The possessive pronoun their
in choice a is plural, not singular. The pos-
sessive pronoun is misspelled as there in
choice b. Even if it were spelled correctly
(their), it would still be incorrect, as the pos-
sessive pronoun must agree with the singular
each. The possessive pronoun their is plural,
not singular. Choice d includes mens’, which
is not a word. Additionally, it includes their,
which is the plural possessive pronoun. This
sentence requires the singular possessive
pronoun––to agree with each. While choice e
includes the possessive pronoun his, which
agrees with the singular each member, the
answer choice also includes mens, which is
not a word.
30. d. This revision clarifes the sentence, as the vague pronoun it has been replaced by an
international move. This revision makes it
clear that international moves can be the
most diffcult moves. Choices b and e create
fragments. Additionally, these choices and
choice c fail to clarify the vague pronoun it.
31. d. The adjective good is vague and overused. Replacing the adjective good with the adjec-
tive effective provides more specifc informa-
tion. Choices a, b, and c are incorrect
because they continue to use the word good.
Additionally, choices b and c delete impor-
tant information that appears in the original
sentence. Choice e is wordy and fails to pro-
vide valuable information.
32. a. All of the words in the organization’s name––other than the minor word and––
must be capitalized. This reasoning makes
all the other answer choices incorrect.
33. e. The word and has been added, which cures the run-on and creates a complete sentence.
Choices b and d are incorrect because they
do not contain complete sentences. Choice c
contains a run-on and a fragment.
34. c. The phrase basic fundamentals is redundant. Deleting the word basic cures the redun-
dancy. Choice b includes the mistake of knot
for not. The revision in choice d changes the
meaning of the sentence. Additionally, the
verb (give) does not agree with the subject
(responsibility). Choice e does not contain a
complete sentence.
35. b. The main idea of the paragraph relates to packing, and advising others of a new
address is not relevant to packing. The
remaining answer choices are relevant to the
main idea of the paragraph, which relates to
packing.
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36. c. The entire passage relates to preparation for packing and moving, so this sentence sum-
marizes the information in the passage and
provides a strong conclusion. While the pas-
sage does reference an organization, choice a
does not summarize the passage and would
not provide a strong conclusion. While the
passage does reference local and interna-
tional moves, this is only a small part of the
passage. Choice b does not summarize the
ideas in the passage and would fail to pro-
vide a strong conclusion. The help of friends
and neighbors is mentioned in the passage,
but this is only a small part of the passage.
Choice d does not summarize the ideas in
the passage and would fail to provide a
strong conclusion. Environmental consider-
ations are mentioned in the passage but are
not the main focus of the passage. Choice e
fails to summarize the ideas in the passage,
and it would not provide a strong
conclusion.
37. a. The authors are Salazar, Feldstein, and John- ston. The word Print indicates that this work
has been published in hardcopy. There is no
indication within the citation that the work
has been published online (choice b). The
1950 date in choice c is part of the title of the
work. The phrase Supreme Court Justices is
part of the work’s title; Supreme Court jus-
tices are not the authors of the work (choice
d). Choice e is incorrect because this is the
third edition of the work, as indicated by
3rd ed.
38. b. Free admission would mean that all families, regardless of ability to pay admission, would
have a place to participate in activities and
exercise. Ample parking could be relevant,
but choice a does not provide the strongest
support for the opinion. While pools would
need to be in working order for families to
be able to swim, choice c does not strongly
support the opinion. It does not relate to
free admission. Safety is important, but
choice d does not strongly support the opin-
ion. It does not relate to free admission.
Choice e is incorrect because it does not sup-
port the opinion.
39. b. The botanist would provide primary source information from an expert. While a photo-
graph (choice a) would be a primary source,
it would not provide in-depth information.
The sources in choice c and e would not pro-
vide primary source material. While the
responses in choice d would provide primary
source material, there is insuffcient infor-
mation in this answer choice to show that
the local park offcials would have in-depth
information regarding the rare plant that is
the subject of the research.
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40. d. A narrowing triangle is used for the purpose of narrowing a broad idea to a topic that is
suffciently narrow for a project. If in-depth
research is conducted prior to narrowing,
unnecessary time can be invested. A narrow-
ing triangle is used for the purpose of nar-
rowing a broad topic to one that is
suffciently narrow and suitable for a
research project; it is not used to clarify
resources (choice a). The middle of a
research paper (choice b) is not developed
until after the topic has been narrowed,
research has been conducted, and organiza-
tional pattern has been determined. The
outline strategy (choice c) is not used until
after the topic has been narrowed and
research has been conducted. The conclu-
sion (choice e) of a research paper is not
developed until after the topic has been nar-
rowed, research has been conducted, organi-
zational pattern has been determined, and
drafts are being written.
Sample Responses for the Argumentative Essay
Sample Score 6 Response I do not agree that there should be civil and criminal
penalties when paparazzi snap photos of celebrities, nor
do I agree that paparazzi are lazy slackers; however, I
do agree that paparazzi should be subject to civil fnes
and criminal penalties when they approach young chil-
dren of celebrities to take their photos. These children
have not asked for celebrity status. They have not asked
for fame. Even if they have a parent who is a celebrity,
they are just children.
I know from my own experience that my young
children are often frightened when they experience sud-
den movement and loud noises when we are out. I have
seen the clips on television of paparazzi racing toward
the children of celebrities, shouting at these children as
photographers swirl all around them. The children look
absolutely terrifed. Some sob and bury their faces in a
parent’s shoulder as the paparazzi shout at them. It
does not matter how much money the paparazzi can
make from these photographs. Income does not warrant
this type of behavior.
Civil fnes and criminal penalties are a step in the
right direction to show that this type of fear-inducing
behavior around children will not be tolerated; these
sanctions will punish intolerable behavior. Additionally,
these sanctions will serve as a strong deterrent. If the
paparazzi realize they will have to give up the money
they make from the photos, and if they discover that
they could spend time in jail and then have a criminal
record for frightening these children, then they will
think twice before engaging in this behavior. I would
even go so far as to say that the same penalties that
apply to paparazzi for photographing children of celeb-
rities should be extended to the magazines and websites
that publish the photos, as it is important to make the
punishment stringent across the board.
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While it is clear that approaching children of
celebrities to snap their photos is unacceptable, it is not
accurate to refer to the paparazzi as “lazy.” This behav-
ior of the paparazzi is not to be condoned; however,
these photographers race from location to location to try
to get photographs, so it is not truly accurate to charac-
terize them as “lazy slackers.”
While I believe that paparazzi should be subject to
civil fnes and criminal penalties for approaching celeb-
rity children to snap photos, I do not believe this should
also be the case when paparazzi approach celebrities to
take their photos when celebrities’ children are not pres-
ent. Celebrities make millions of dollars. The price I pay
for a movie ticket is becoming more astronomical all the
time; it is currently ten dollars or more and is funneled
in the direction of the celebrities. There is a price the
celebrities pay for fame. This price is being recognizable
and being the target of constant adoration by fans, fans
who want to see the celebrities’ photos as the celebrities
go about their everyday lives. This is part and parcel of
inviting fame, and celebrities know this as they take on
such status.
I do not have to tolerate photographers racing
toward me and snapping my photo as I go to work, head
to the cleaners, or spend time at a local restaurant; how-
ever, I also do not garner the income of a celebrity. If I
did, I would know that fame has many facets and that
one of these is tolerating constant adoration. We all
have negative and positive consequences of our life
choices, and a cadre of photographers is a negative con-
sequence for celebrities who have chosen their life pur-
suits; however, it should never be anticipated as a
negative consequence for their young children, who
have not chosen this life pursuit.
About This Essay This extremely strong response begins by explaining
the parts of the prompt with which the writer agrees
and disagrees, explaining the distinction between
photographs taken of celebrities and photos taken of
their children. The essay continues by providing per-
sonal examples of the fear young children can
experience when faced with loud noises and sudden
movement while out in public. The essay also pro-
vides a clear, strong example of children’s reactions to
the paparazzi when the children are out with their
parents.
The essay continues by stating the reasons for
civil and criminal penalties, and the writer provides
support by stating that the paparazzi would lose
income. The essay also points out the deterrent effect
of criminal penalties. The writer takes the argument
and support one step further by suggesting that web-
sites and magazines publishing the photos should
also face penalties.
As the essay continues, the writer refutes the
position in the prompt that paparazzi are lazy. The
essay provides a strong example, explaining that
paparazzi must race from location to location, which
contraindicates laziness.
The essay then makes a clear and strong point
of elaborating on the position that while paparazzi
should be punished for taking photos of celebrities’
children, the paparazzi should not be punished for
taking photos of the celebrities when their children
are not present. The essay supports this position by
detailing the huge incomes garnered by celebrities.
The essay concludes by drawing a distinction
between the life of the writer and the lives of celebri-
ties. The writer cogently points out that people expe-
rience negative and positive consequences for their
life choices. The writer elaborates by providing details
to explain that the writer does not have to tolerate
hordes of paparazzi when the writer goes through the
daily routine; however, the writer also does not have
the income of a celebrity. As the writer notes, due to
the income of celebrities, a positive consequence that
comes to them through their life choices, the celebri-
ties must also tolerate the negative consequence of
being constantly approached for photos. The essay’s
fnal sentence pulls the essay together, reiterating the
distinction between a life chosen by celebrities and a
life that is not chosen by their children.
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The writer offers strong organization, provid-
ing clear development of the writer’s position. This is
accomplished through a focus on the writer’s posi-
tion and support for this position through clear
details and examples. The writer also provides a vari-
ety of sentence lengths and types, which adds inter-
est and credibility to the essay. The essay is free from
errors in mechanics, usage, and grammar. All of
these qualities result in the essay clearly deserving a
score of 6.
Sample Score 5 Response I agree that paparazzi should not be allowed to take
photos of celebrities or their children, but I do not agree
that paparazzi are lazy. They do a great deal of work to
take the photos they take from day to day. Even though
these are photos they should not be taking, it does not
logically follow that the paparazzi are lazy.
It is very sad when human beings are not able to
go about their daily lives without having photographers
mob them and snap photos of them every time they
walk a few feet down the sidewalk. I’ve even seen photos
taken by the paparazzi that showed celebrities doing
workout exercises in places where the celebrities clearly
thought no cameras were nearby. It isn’t fair that celeb-
rities’ never have the chance to relax and just be them-
selves without the necessity to be performing every
minute of every day.
It is true that celebrities make a great deal of
money, but so do people in many other walks of life,
and all of them don’t have to push past huge groups of
photographers coming at them to take their photo-
graphs. There is no reason to assume that just because
a person makes large sums of money, that person
should lose the right to live a daily life like a normal
person. One of neighbors has a friend who is an actor
and lives in New York. My neighbor told me that his
friend was actually injured by paparazzi who just
wouldn’t stop coming closer and closer to try to snap
her photo. This was a terrifying experience for her just
as being pursued by paparazzi must be a terrifying
experience for all celebrities.
As bad as it is for paparazzi to race to celebrities to
take their photos, it is even worse when paparazzi race
toward children of celebrities. At least the adult celebri-
ties understand what is happening. The children likely
do not understand. No matter how many times the
paparazzi approach them, screaming and snapping
photos, the experience is a scary one for young children.
Celebrities have even testifed before Congress about the
fear their children feel when paparazzi approach.
The real problem here is not with the paparazzi. It
is with the magazines and Web sites that purchase these
photos. If the magazines and Web sites refused to buy
the photos, the paparazzi would stop taking them, as
they would not make any money from the photos they
snapped. Until the purchases of the photos stop, though,
it is necessary to punish the people who are constantly
approaching the celebrities and their children. Civil
penalties and criminal charges are strong admonitions
that show this type of behavior will not be tolerated.
About This Essay The essay opens by clearly stating the writer’s posi-
tion. The writer agrees with part of the prompt but
not with the entire prompt. The writer explains
agreement with the statement that paparazzi should
not be permitted to take photos of celebrities and
their children; however, the writer points out dis-
agreement with the statement that paparazzi are lazy.
The essay continues by pointing out that celeb-
rities are humans and should have the opportunity to
go about their daily lives without having paparazzi
constantly snapping photos of them. The essay pro-
vides an example of paparazzi managing to snap
photos at workout facilities.
As the essay continues, the writer points out
that celebrities do make great amounts money––as a
number of people do. The essay explains that all peo-
ple who earn substantial incomes do not have to tol-
erate paparazzi constantly coming at them. This
comparison provides strong support for the writer’s
position.
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The essay goes on to make the point that as bad
as it is for adult celebrities to be approached by
paparazzi, it is even worse for the paparazzi to
approach celebrities’ children. To strongly exemplify
the seriousness of the problem, the writer details the
work of celebrities to bring this issue before members
of Congress.
In the conclusion, the writer details the cause of
the paparazzi problem, stating that if magazines and
websites refused to purchase the photos, the paparazzi
would stop taking them. Short of that event, however,
the writer states that civil penalties and criminal pun-
ishment would show that this type of behavior would
not be tolerated. This clearly shows that the writer
has come full circle in the essay––by opening with the
position, supporting the position, and reiterating the
position.
The writer does have clear organization
throughout the essay; however, the examples and
details, while applicable, would be stronger if they
were to offer greater perception about the depth of
the issue. The essay does offer a variety of sentence
types and lengths; however, the effectiveness of the
sentences is not consistent. Additionally, the vocabu-
lary could be more powerful. While the response has
few errors in grammar, usage, and mechanics, it does
contain a couple of errors, such as the use of the pos-
sessive celebrities’ rather than the plural noun celebri-
ties in the second paragraph and the lack of a comma
after the word her in this sentence: This was a terrify-
ing experience for her just as being pursued by paparazzi
must be a terrifying experience for all celebrities. These
issues keep the essay from rising to the level of an
essay scored at 6.
Sample Score 4 Response I agree that paparazzi should suffer consequences for
taking photos of celebrities’ young children; however, I
do not agree that paparazzi should suffer consequences
for taking photos of the celebrities, and I do not think
paparazzi are lazy.
Young children of celebrities can be vulnerable,
and they can be frightened by photographers, they can
be especially frightened when they are just walking out
the front door of a home.
Celebrities, on the other hand, should be used to
fame, he should be accustomed to having their photo-
graphs taken all the time. After all, celebrities sign on
for fame. This is what they ask for, so it only makes
sense that they must accept the constant attention that
comes along with this fame.
While I disapprove of the way paparazzi make
their living, I do not think it is correct to say that they
are lazy. They do their work, just as so many other peo-
ple do their work.
So, it is clear that paparazzi should suffer penal-
ties for going after the children of celebrities to take their
photos, but they should not be punished for taking pho-
tos of the celebrities.
About This Essay This essay demonstrates competence. The writer
clearly states positions, including agreement with the
position that paparazzi should be punished for pho-
tographing celebrities’ young children and disagree-
ment with the position that paparazzi should be
punished for photographing celebrities. The writer
also expresses disagreement with the position that
paparazzi are lazy. The essay is organized, beginning
with the position regarding celebrities’ young chil-
dren, continuing with discussion of the position
regarding photographing celebrities, going on to state
a position regarding whether the paparazzi are lazy,
and then wrapping up by restating two of the
positions.
The writer explains some key ideas with ade-
quate support; however, additional key ideas and
stronger, insightful support would make the essay rise
to a higher score. The essay is also in need of more
examples to support the positions stated by the
writer.
Overall, the writer shows control of grammar,
usage, and mechanics; however, there are some errors
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in these areas. For example, the writer includes a run-
on in the second paragraph: Young children of celebri-
ties can be vulnerable, and they can be frightened by
photographers, they can be especially frightened when
they are just walking out the front door of a home. The
writer also makes an error in parallelism in the third
paragraph: Celebrities, on the other hand, should be
used to fame, he should be accustomed to having their
photographs taken all the time.
Sample Score 3 Response It is true that these photographers should note be taking
pictures. Celebrities have rights. They’re children have
rights. But the papparzi are given too many rights. They
should suffer serious penalties for taking pictures of
celebrities and their children. They should be punished
for doing this. Don’t they ever think about how the peo-
ple they are taking pictures of feel. I don’t think they do,
I don’t think they care at all.
What happens to the celebrities after someone
takes the picture? What happens to they’re children?
There should be more caring about the feelings they
have, their should be more laws to stop papparzi from
behaving this way.
I don’t get why the papprazi get to make money.
Theyre kind of like a herd of elephants always stamped-
ing after others. They should be punished because they
fail to respect the rights of the people they are photo-
graphing.
About This Essay While there is some competence in this essay, it con-
tains serious faws. It limits itself to stating that
paparazzi are given too many rights and should suffer
serious penalties; however, it fails to detail what these
rights and penalties might be. The organization is
weak, and there is very little development of ideas.
While the writer indicates a disdain for the action of
paparazzi, the writer does not fully develop the rea-
sons for this disdain. The essay includes many errors
in grammar, usage, and mechanics.
Sample Score 2 Response Papparrazzi who take photos of celebrities and children
are ridiculous. They run around taking photos and
bothering people all day long. Why should they get real
jobs when all they have to do is take pictures? They are
just lazy and irritating.
You can see how scared the children are when
paparazzi take photos, but do the paparazzi care? No,
they don’t care about the children, they don’t care about
the celebrities. They only care about themselves.
In conklusun, the paparazi just take advantage of
celebrities and children to make money. They should
not be aloud to do this.
About This Essay This essay is seriously fawed; it contains only the
most minimal of development. It states no clear posi-
tion, and it lacks organization. The essay emotionally
states a lack of approval for the action of the
paparazzi; however, it fails to include examples and
strong details and it contains many errors in mechan-
ics, grammar, and usage.
Sample Score 1 Response No, I don’t think the paparazi shud take photos of peo-
ple who are celebrities. And they shouldn’t take pitchers
of their children. They are just lazy, they should get a
reel job. They should wurk for a living just lik we all do.
Who do they think they are anyway? Their not
important, they just want to take pitchers and make lots
of money. Everywon wants to make lots of money. That
is true. They just should never take these fotos. They
should have respect for others. Those poor children!
About This Essay This essay is underdeveloped; it alludes loosely to the
topic, but it fails to develop an argument. The essay
shows fundamental defciencies in writing skills. It
contains serious and persistent writing errors, dis-
playing issues with usage, mechanics, language facil-
ity, and development. All of these issues make the
essay very confusing.
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Sample Responses for the Source-Based Essay
Sample Score 6 Response There is a clear division of opinion regarding whether
human missions to the Moon should be resumed. This
is an important issue, as resuming such travel could
result in millions of government dollars being spent. A
failure to resume such travel, however, could result in
the United States falling behind other nations in
research, potential alternative colonization, and poten-
tial weaponry for protection.
Sanjeev Patel believes human lunar missions
should resume (Research and Frontiers: The Moon).
Patel offers clear reasons, while countering potential
arguments against his stance. “Humans can much more
effectively conduct research than the research conducted
by robotic probes and rovers.” Humans can do delicate
work and critical analysis that cannot be accomplished
by robots (Patel).
Another reason for space exploration is that on
prior missions, only a very small quantity of the Moon
was explored (Patel). In examining the potential of the
Moon, Patel discusses possible colonization of the Moon,
which could be valuable in the event of a cataclysmic
Earth event; however, Patel offers almost no specifcs
regarding feasibility.
As referenced by Patel, the security of the United
States is an important concern. It is thought that many
nations are planning human lunar missions. Patel
admits that types of future weaponry might not be
known at the current time but that it is important that
the United States not fall behind other nations.
Midori Chin articulates her support for Obama’s
decision to suspend plans for human lunar missions.
Millions of dollars would have been spent for these
human lunar missions, “and there are so many needs
here on Earth for those funds” (Chin).
In referencing the argument of robotic rover ver-
sus a human on the Moon, Chin states that a human
can live only a short time on the Moon, while a rover
could remain there for a long period of time. The Mars
Rovers provide strong support regarding this longevity
(Chin). Still, Chin fails to reference the delicate work
and analytical skills of a human. This damages the
credibility of her position.
There are strong opposing views to Patel’s state-
ments regarding lunar colonization. “The assertion that
humans might colonize the Moon is so remote a possi-
bility as to be laughable.” Such colonization is far
beyond the technology available at the present time
(Chin). Chin discusses the possibility of private compa-
nies sending humans to the Moon, an interesting alter-
native to government funding.
In conclusion, there are strong pros and cons
regarding human lunar travel. Based on the arguments
and support presented in these two pieces, the benefts of
human lunar travel at the present time are not worth
the expense such travel would incur.
About This Essay This essay demonstrates a high degree of competence.
The writer explains why the concerns are important,
immediately identifying the issues upon opening the
essay: This is an important issue, as resuming such
travel could result in millions of government dollars
being spent. A failure to resume such travel, however,
could result in the United States falling behind other
nations in research, potential alternative colonization,
and potential weaponry for protection.
In addition to identifying the issues, the writer
provides insight into the importance of the issues and
the positions of each author. For example, the writer
notes Patel’s lack of support regarding feasibility of
human lunar colonization. The writer also recognizes
the failure of Chin to address the delicate and analyti-
cal nature of human work: Still, Chin fails to reference
the delicate work and analytical skills of a human. This
damages the credibility of her position. The writer’s
insight is an important element in elevating the essay
to a score of 6.
The writer incorporates information from both
sources, and the writer organizes and develops ideas
logically. The writer opens by stating the important
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issues. The writer continues by discussing Patel’s
positions and then discussing Chin’s positions. The
writer compares the positions of the two authors.
The writer offers substantial variety in sentence
structure and length throughout the essay. The writer
also cites both sources when paraphrasing and quot-
ing. The writer clearly displays facility in the use of
language, offering strong grammar, usage, and
mechanics. For all of these reasons, the essay most
certainly deserves a score of 6.
Sample Score 5 Response There is a clear division of opinion regarding human
lunar space travel by the United States government.
Some believe this type of travel is essential, others
believe it should not be pursued. The issues related to
human lunar travel are of great merit. Such travel could
add to the knowledge base of scientists. It could offer the
potential of lunar colonization, and it could provide a
base for weapons that could one day protect the security
of the United States.
In consideration of research. Some believe that
robotic probes and rovers could do a more effective job
than humans could (“Balancing Priorities: Earth and
Moon”). Midori Chin states that humans would be able
to live only a short time on the Moon, while rovers, such
as the Mars Rovers could remain on the Moon for many
years.
Not everyone agrees that rovers are the most effec-
tive vehicles for research. In Research and Frontiers: The
Moon, Sanjeev Patel explains that humans could much
more effectively move forward with research than rovers
could. “There simply is no replacement for human ana-
lytical skills and decisions to be made as research is
being conducted. A robotic rover simply lacks this capa-
bility, and the clunky ‘arms’ of a robotic probe are not
able to carefully and delicately extract and examine
samples from the lunar surface” (Patel).
As Patel explains, humans might one day need to
leave Earth as the result of a disaster, such as a volcanic
eruption or asteroid strike. Patel states that the Moon
holds the key to potential human colonization. Chin
strongly disagrees with this statement. “In order for
humans to live on the Moon, it would be necessary to
devise and develop some sort of artifcial atmosphere
under a dome or similar structure” (Chin). Chin states
that his simply would not be possible, based on the tech-
nology currently available.
Patel makes a strong point of discussing the secu-
rity of the United States, explaining that many nations
are believed to be developing human lunar missions.
Chin does not reference this point; however, national
security is vital.
Chin makes a very strong point in her piece. She
points out that private companies could fund human
lunar space travel. This idea makes sense, and it takes
the onus off of the United States to expend the funds for
human lunar space travel.
In summary, there is a clear split of opinion
regarding whether the United States should resume
human lunar space travel. While there are cogent ideas
on both sides of the argument, the idea that is most rea-
sonable is for human lunar space travel to continue
through the funding of private companies, not through
the funding of the United States government.
About This Essay This essay demonstrates clear competence; however,
it contains minor errors. The writer provides clear
organization by comparing the positions of Patel and
Chin when relevant throughout the essay. This
method of organization is effective, and it shows clear
links between the two pieces, while incorporating
information from both sources to identify and
explain important concerns. This is just one strong
example from the essay:
In consideration of research. Some believe that
robotic probes and rovers could do a more effective job
than humans could (“Balancing Priorities: Earth and
Moon”). Midori Chin states that humans would be able
to live only a short time on the Moon, while rovers, such
as the Mars Rovers could remain on the Moon for many
years.
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Not everyone agrees that rovers are the most effec-
tive vehicles for research. In Research and Frontiers:
The Moon, Sanjeev Patel explains that humans could
much more effectively move forward with research than
rovers could. “There simply is no replacement for
human analytical skills and decisions to be made as
research is being conducted.”
While it is true that the writer clearly identifes
the opposing views of the two authors, the writer
does not offer keen insight and analysis regarding
these positions. Such insight and analysis would have
helped to elevate the essay to a score of 6.
The writer provides some sentence variety;
however, the essay would have been more powerful
with greater variety. The writer cites both sources
when paraphrasing and quoting, and the essay is gen-
erally free from errors in grammar, usage, and
mechanics, although the essay includes this fragment:
In consideration of research. The essay also contains
this run-on: Some believe this type of travel is essential,
others believe it should not be pursued.
Sample Score 4 Response The United States has stoped programs for human
lunar space travel. Some people think this is a bad idea.
Some people think this is a good idea. People could one
day live on the Moon. Researchers could do more
research on the Moon. There might be weapons the
United States could use from the Moon for protection.
Sanjeev Patel wrote Research and Frontiers: The
Moon. He thinks the United States should start sending
people to the Moon again. He says scientists could do
research there. He says robots can’t do this kind of
research.
There is more of the Moon to explore (Patel). Peo-
ple could colonize the Moon. At least, that’s what Patel
thinks. Midori Chin does not agree (“Balancing Priori-
ties: Earth and Moon”). She thinks it would be hard to
colonize the Moon.
It would be less expensive to send a rover to the
Moon than to send a person. The rover would not need
to come back (Chin).
The United States needs to be protected. Other
nations might send people to the Moon (Patel). What if
those other countries start putting weapons on the
Moon before the United States does. This could be disas-
trous. The United States might no longer be secure.
Chin does not discuss this issue in her piece.
It’s possible that someone could still go to the
Moon and the United States would not have to pay. Pri-
vate companies could send people to the Moon (Chin).
Then people would still be going to the Moon, but the
money would not have to come from the budget of the
U.S. governemetn. Many people on Earth need things.
It takes money to pay for those things. If private compa-
nies send people to the Moon, then the people on Earth
could still get the things they need from the goverment.
About This Essay This essay adequately explains why the concerns are
important. The essay also supports the explanation
with some links between the two sources. Although
the reasons and examples provided are adequate, they
are not powerful. For example, the writer skims the
surface of sending rovers rather than humans to the
Moon; however, the writer does not provide strong
reasons or in-depth analysis in this regard. More
powerful reasons and examples, as well as a stronger
explanation regarding the importance of the con-
cerns, could be instrumental in elevating this essay to
a higher score.
The essay cites both sources when paraphrasing,
and the writer shows some control in the organiza-
tion and development of ideas. The writer opens with
a rudimentary summary of the issues and then con-
tinues by discussing opposing viewpoints regarding
issues. The writer also mentions the lack of an oppos-
ing viewpoint: The United States needs to be protected.
Other nations might send people to the Moon (Patel).
What if those other countries start putting weapons on
the Moon before the United States does. This could be
disastrous. The United States might no longer be secure.
Chin does not discuss this issue in her piece.
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The essay demonstrates adequate use of lan-
guage and shows some control of grammar, usage,
and mechanics, though there are a number of errors
(e.g., the misspelling of stoped for stopped and a
period rather than a question mark at the end of a
question).
Sample Score 3 Response There are no more missions scheduled by the U.S. gov-
ernment for humans to travel to the Moon. There are
costs to think about. There is research to think about,
there is national security to think about. There is
another place for people to one day live to think abowt.
Robots could go to the Moon insted of humans.
But these robots could not do the kind of work humans
could do (Research and Frontiers: The Moon). We’ve
looked at only part of the Moon (Patel). People could
live on the Moon if something teribul happens.
The United States has to stay safe. That’s why the
United States needs to send peepul to the Moon. This is
important.
About This Essay This essay shows some competence, but it contains
many faws. The essay is limited in explaining why the
concerns are important. The writer opens by essen-
tially providing a list of things to “think about” but
gives little detail about explaining why these are
important concerns.
The writer uses a single source, the Patel source,
to identify concerns regarding the issue. Reasons and
details are inadequate. The writer fails to clearly
establish why human lunar space travel is important.
The writer has limited control in the organiza-
tion and development of ideas. The essay never fully
develops any ideas; instead, it states unclear refer-
ences regarding human lunar travel.
The essay contains an accumulation of errors in
the use of language and in grammar, usage, and
mechanics. For example, the writer includes run-ons,
such as the following: There is research to think about,
there is national security to think about. The writer
also includes many spelling errors, including abowt,
insted, teribul, and peepul.
Sample Score 2 Response It is ridiculus to think about spending money to go to
the Moon. A person can’t breath the air. A robot could
live they’re. A robot lives on Mars, it do good work. We
need money here. Not on the Moon.
How could even won person live on the Moon?
Why even think about lots of people living there. Its just
silly. The president said we wouldnt send people to the
Moon now. This makes sense. Money is to bee spent
here. Maybe we could go to live on the Moon in the
future, or maybe a companie could send people there
now.
About This Essay This essay is seriously fawed. It does not explain why
human lunar travel is an important issue. Instead, it
rambles on about the air on the Moon and how ridic-
ulous it is to think about spending money to travel
there. Only one source, the Chin source, is used, and
its use is weak and unclear. No source is cited. The
organization is weak, and there is very little
development.
The essay contains frequent serious errors in the
use of language and in grammar, usage, and mechan-
ics. For example, the essay contains this error in sub-
ject-verb agreement: it do good work. The essay
contains this fragment: Not on the Moon. The essay
also includes many spelling errors, such the follow-
ing: ridiculus, breath (for breathe), won (for one),
wouldnt, and companie.
Sample Score 1 Response Travel to space? Maybe good idea. Maybe not a good
idea. People could go. Robots could work there. Costs a
lot. Peepul couldnt live there for long times.
Country could protect from the Moon, people cud
live on the Moon. People needs money here and now.
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This is not whut they need later on the Moon. Maybe
company would send people to the Moon, that cud
wurk. That wud cost less money.
About This Essay This essay demonstrates fundamental defciencies in
writing skills. Although it alludes to portions of the
topic, such as robots on the Moon, the essay is under-
developed and almost incoherent. It is flled with
serious and persistent writing errors (e.g., run-ons,
spelling errors, lack of subject-verb agreement, and
fragments).
Praxis® Core Academic Skills for Educators:
Mathematics Practice Test 4
Time: 85 Minutes
Directions: Choose the best answer to each of the fol-
lowing questions.
1. Select all of the statements that are true for the regular pentagon ABCDE:
A B
E C
D
a. There is at least one line of symmetry.
b. It has rotation symmetry with vertex E being
the center of rotation.
c. There is a glide refection that maps ABCDE
onto itself.
d. It has at least three angles of rotational
symmetry about the center of the pentagon.
e. There is a transformation that maps vertex A
to vertex D.
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2. Which sentence best describes the data in the scatterplot?
Y
5. On the map of a national park, 1 inch corre- sponds to 2.4 miles. If the length of a hiking
trail on the map is 4.9 inches, what is the
length of the real trail?
a. 2.04 miles
b. 7.30 miles
c. 11.76 miles
d. 24.01 miles
e. 30.00 miles
6. Select all of the solutions to this system of equations:
X ⎧ ⎨ ⎩
−5x – 3y = 3
20x = 12y + 12 a. The data have a strong positive correlation.
b. The correlation is weak. a. x = 1, y = 1 c. There is a moderate negative correlation
between the variables.
d. There is a strong nonlinear relationship
between the two variables.
e. There is no relationship between the data.
3. Let f(x) = 2x3 – 3x + 4 and g(x) = –2x2 – 3x – 1.
b. x = 0, y = –1 __3 c. x = 5 , y = 0
__5d. x = –1, y = 3 e. x = 2, y = –3
7. Suppose that a random variable X has the fol- lowing probability distribution:
What is f(x) – 3x · g(x)?
a. 8x3 + 9x2 + 4
b. 8x3 + 6x + 4
c. –8x3 + 9x2 – 4
x –2 0 1 3 4
P(X = x) 1__ 6
1__ 4
1__ 8
5__ 24
1__ 4
What is the expected value of X as a simplifed d. (2x3 – 6x + 4)(–2x2 – 3x – 1) improper fraction? e. 2x3 + 2x2 + 5
4. The length of a rectangular room is 4 feet less than 3 times the width of the room. The
perimeter of the room is 56 feet. What is the
length of the room?
a. 8 feet
b. 14 feet
c. 15 feet
d. 41 feet
e. 20 feet
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8. Which of the following numbers is equivalent 8 3to ?16 15
10a. 5 1
b. 2 12 5c. 10
d. 2√5 5e. 40
9. A chairlift at a ski resort carries skiers from the base of the mountain to the top, as shown in
this diagram:
Top of Mountain
B
v
C Base of
Mountain
The distance a skier travels while on the chair-
lift is 6,200 feet. The horizontal distance a skier
travels as she moves on the chairlift is 5,000
feet. What is the approximate height of the
mountain, rounded to the nearest foot?
a. 1,200 feet
b. 3,666 feet
c. 5,000 feet
d. 7,965 feet
e. 11,200 feet
5,000 ft.
6,20 0 ft
.
A
10. Which of these scatterplots illustrates a moder- ate positive relationship between X and Y?
Ya.
b. Y
X
c. Y
d. Y
X
e. Y
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X
X
X
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⎧ ⎨ ⎩
11. Consider this recursively defned function: − f(1) = 5
f(n + 1) = 3 – 2f(n), n ≥ 1
What is f(4)?
12. Which of these statements is true? a. p = 3.14
b. π 1 2 π
1=
c. √2 + √14 = √16 d. √e ≈ 2.718
e πe. >π e
13. Which of these numbers is/are greater than 2? Choose all that apply.
a. p – 1 –1b. e
c. √3 d. e
e. √e
14. Choose the expression that is equivalent to 2 28x y3 – 4xy2 – 2x y.
a. 2xy(4xy2 – 2y – x) 2b. –2xy(–2y + 4xy – x)
c. 2xy2(4xy – 2y – x) 2d. 8x y3 – 2xy(2y – x) 2 3 3e. 8x y3 – 6x y
15. Consider the triangle ABC:
Which of the following transformations creates
an image of triangle ABC where A’ is at (–5,0),
B’ is at (–8,0), and C’ is at (–8,5)?
a. Rotate triangle ABC around the origin
counterclockwise by 90 degrees.
b. Translate triangle ABC to the left 14 units.
c. Refect triangle ABC across the x-axis.
d. Refect triangle ABC across the line x = –1.
e. Refect the triangle ABC across the line x = 3.
16. What is the median of the data set represented by this box-and-whisker plot?
a. 35
b. 40
c. 47
d. 50
e. 60
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17. Which of these numbers is a prime factor of b. 504?
a. 7
b. 9
c. 11
d. 17
e. 21
18. Which of these is a reasonable estimate for the c.
height of a full-grown cherry tree?
a. 150 mm
b. 1.5 km
c. 35 cm
d. 12 ft.
e. 20 in.
d. 19. What is the solution to this system of equations?
− y – x = –5
4y – x = 40
20. Which of the following distributions appears(s) to have a mean that is NOT positive? Select all
of the correct answers.
a. e.
⎧ ⎨ ⎩
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21. Bob’s favorite recipe for cake frosting calls for 1.5 cups of sugar and 0.5 cups of butter, but he
has only 1 cup of sugar in his pantry. If he
wants to produce the same type of frosting as
in the recipe, how much butter should he use
with his 1 cup of sugar?
a. 3 cups
b. 1 cup __1 c. cup3
d. __4 1 cup
__1 e. cup6
22. Find the value of x: __3 __3 4 x – 1 = –( 8 x – 2) __8 a. – 9
__9b. 24 __17 c. 9 __24d. 9
e. 15
23. If the radius of a circular garden is three times the radius of a circular fower bed, the area of
the garden is how many times the area of the
fower bed? __1 a. 9
b. 3
c. 6
d. 9
e. 27
24. What is the slope of the line graphed here?
__2 a. – 3 b. 0
__2 c. 3 __3d. 2
e. 2
25. Jeannette has 7__2 gallons of paint and wishes to5 paint as many panels of her fence as possible.
__7Each panel requires 8 gallon of paint. How
many complete panels can she paint?
26. Frank has $140 to spend at a cookware store. A specialty kitchen gadget costs $9.50 and a con-
tainer of spices averages $4.25. If G represents
the number of gadgets and S represents the
number of containers of spices, which of the
following inequalities accurately describes the
relationship between G and S?
a. 140 – 9.50G ≤ 4.25S b. 140 ≥ G + S c. 9.50S + 4.25G ≤ 140 d. 9.50G + 4.25S ≤ 140 e. (9.50G)(4.25S) < 140
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27. Consider the parallelogram WXYZ shown here. 29. Consider the following distribution, and then What is the value of d? choose all of the true statements:
a. 43°
b. 57°
c. 60°
d. 80°
e. 137°
28. The diameter of a spherical oil tank is 2 meters. What is the volume of the tank?
__1 a. 3 p cubic meters
b. __3 4 p cubic meters
c. 4p cubic meters __32d. 3 p cubic meters
e. 32p cubic meters
a. The distribution is symmetric.
b. The distribution is bimodal.
c. The distribution is skewed left.
d. The mean of this distribution is positive.
e. The median is greater than the mean.
30. The directions on a can of frozen orange-juice concentrate read, “Mix contents with two cans
of water.” How many 8-ounce cans of concen-
trate are needed to make 384 fuid ounces of
juice?
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______
___
_________
___________
_________
31. A sixth-grade teacher is going to select a stu- dent to serve as this month’s hall monitor. To
do this, he randomly selects a letter from the
alphabet and then chooses the frst student in
his roster whose last name begins with that let-
ter. Which statement is true?
a. This would be fair for a class of 50, but not
for a class of 20.
b. The selection is unfair because there may
not be an equal number of students for each
letter.
c. The selection is fair because students with an
uncommon last name will not be singled
out.
d. The selection is fair because each letter has
an equal chance of being selected.
e. The selection is unfair because he did a
random selection of letters instead of
numbers.
32. Which of the following quadratic equations has/have imaginary solution(s)? Select all that
apply.
a. 2x2 + 8 = 0
b. –2x2 – 6x = 0
c. x2 + 9x + 2 = 0
d. 2x2 – 15 = 0
e. 2x2 + x + 3 = 0
33. A professional tennis player can serve the ball at 110 miles per hour. Which of the following
numerical expressions is the speed of her serve
in feet per second? (Note that 1 mile = 5,280
feet.) 110 a. 60 × 60 feet per second
110b. 60 feet per second 110 × 5,280c. feet per second60 × 60 110 × 60 × 60d. feet per second5,280 110 × 5,280e. 60 feet per second
34. A tool shed is shaped like a cube. The surface area, including the foor and ceiling, is
294 square meters. What is the volume
of the shed?
a. 7 cubic meters
b. 49 cubic meters
c. 216 cubic meters
d. 294 cubic meters
e. 343 cubic meters
35. A single card is selected from a standard deck of 52 playing cards. Which of the following
statements is/are true?
I. P(getting a black card or getting a jack) __7 = 13
__3II. P(getting a 4 or getting a red 8) = 26 __16III. P(getting a king and a club) = 52
a. I only
b. I and II only
c. II and III only
d. III only
e. I, II, and III
36. Suppose that f is an invertible function. Look at the table of values for f(x).
x –4 –2 –1 0 1 2
f(x) 0 2 3 5 1 –1
What is the value of the expression f –1(f –1(–1)),
where f –1 represents the inverse function of f ?
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___
___
___
37. Which of these is equivalent to the expression __7 __1 12 × 23 + 12 × 24?
a. __3 2 × 23
__3b. × 64 __1 c. 2 × 23 __3d. 4 × 24 __3 e. 4 × 23
38. Two brothers are reading the same book, but one of them is 4 pages behind the other. If they
add their current page numbers together, the
sum is 408. On what page is the slower reader?
a. 98
b. 102
c. 202
d. 210
e. 206
39. There are 80 questions on a test. How many questions must you answer correctly to score
70%?
40. The side AC of the triangle ABC is the diameter of the pictured semicircle. If the radius of the
circle is 3, what is AB?
a. √3 b. 3
c. 3√3 d. 6
e. 6√3
41. One hundred college freshmen were asked if they intended to transfer to another university
for their sophomore year. The responses are
tabulated here:
MALE FEMALE
Yes 8 21 No 16 20 Maybe 22 13
What is the probability that the student is male
given that the answer is yes? 8 a. 100
__8b. 29 29 c. 100 46d. 100
__26 e. 29
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___________
_______
____________
___________
_______
_______
_____ __
___
42. In the diagram, if segment DF is a diameter of 44. Which equation has solutions that correspond circle E, and segment DG is congruent to seg- to the x-intercepts in the following graph?
ment EG, what is the value of 2y?
a. 30°
b. 60°
c. 120°
d. 240°
e. 360°
43. Choose the expression that is equivalent to the following:
2 ______9 – x (x + 5)(3 – x) (x + 5)2 ÷ x (x + 3)x a. x + 5 (x + 3)(x – 3)2 b. (x + 5) x
x(x + 3)c. x2 + 10x + 25 x(x + 3)d. (x + 5)3 x2 + 3x e. x3 + 125
a. (x + 2)2 – 1 = 0
b. (x – 2)2 + 1 = 0
c. (x – 2)2 – 1 = 0
d. (x + 2)2 + 1 = 0
e. 3(x – 2)2 + 1 = 0
1 + x 345. What is the value of 2 2
when x = 4 ?1 – x __7 a. 25 175b. 256
c. 1 __4d. 3 7 __3 e. 4 7
46. What is the greatest common factor of 30, 45, and 60?
a. 5
b. 10
c. 15
d. 20
e. 180
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3
2
47. A room measures 12 feet by 15 feet, and the ceiling is 9 feet high. One gallon of paint is
needed to apply one coat of paint to 250 square
feet of surface area. How many gallons will it
take to paint all but the foor of the room if
two coats of paint must be applied? Round
your answer to the nearest tenth of a gallon.
16 36?48. Which of these is equivalent to √121y z 4 6a. 11y z 8 18b. 11y z
8 18c. 121y z 4 6d. 121y z
32 72e. 11y z
49. Consider the set of geometric fgures shown:
R S T
4 6
6 U V
3
7 8
If a shape is selected at random, what is the
probability of selecting one whose area is at
least 10 square units? __4 a. 5 __3b. 5 __2 c. 5 __1d. 5
e. 0
50. Beth wishes to build three identical, adjacent rectangular pens on her farm so that the back
of all three pens is against the barn.
Barn
She will use 1,500 feet of fencing to construct
the pens, and fencing is not needed along the
side that touches the barn. The combined area
of all three pens is 65,000 square feet. What is
the width of each pen? Assume the width is
the longer side.
a. 25 feet
b. 50 feet
c. 200 feet
d. 325 feet
e. 433.3 feet
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_____
____________
____________
___________
____________
____________
51. A cross section parallel to the ground of an oil tank is as follows:
The tank is 5 feet high throughout. One cubic
foot of oil equals about 7.85 gallons. How
many gallons of oil can the tank hold?
a. 720 gallons
b. 1,130.4 gallons
c. 5,652 gallons
d. 4,867 gallons
e. 7,200 gallons
52. Suppose p and q are different prime numbers. What is the least common multiple of 4, 2p,
and 16q?
a. 2
b. 4p
c. 4pq
d. 148pq
e. 24 × p × q
53. Suppose that a company’s profts (in millions of dollars) for a 10-year period are shown in
this graph, where t = 0 corresponds to 2004
and t = 10 corresponds to 2014.
50 40 30 20 10
0 1 2 3 4 5 6 7 8 9 10
Select all of the true statements.
a. The maximum proft during this 10-year
period occurred in the years 2005 and 2006.
b. The proft never dipped below $10 million.
c. Proft increased from 2011 through 2014.
d. Proft never increased for a period longer
than one year.
e. There are consecutive years during which
the proft remained the same.
54. Choose the expression that is equivalent to: ______1 1 – +(x – 3)2 x + 3
1 a. (x + 3)(x – 3)2 –6b. (x + 3)(x – 3)2 1 c. (x2 – 9)(x – 3)
x2 – 5x + 12d. (x + 3)(x – 3)2 (x – 6)(x – 1)e. (x + 3)(x – 3)2
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55. Consider these two sets of data: A = {5, 5, 5, 5, 5}
B = {4, 4, 4, 4}
Which of the following statements is/are true?
I. The mean of set A is greater than the
mean of set B.
II. The standard deviation of set A is greater
than the standard deviation of set B.
III. The median and mean of set A are equal.
a. I only
b. II only
c. I and III only
d. II and III only
e. None of the statements is true.
56. Assume that 0 < x < 1 and y is a negative inte- ger less than –1. Which of these must be
greater than 1? Select all answers that apply. __1 a. x
b. –y __1 c. – y 2d. x
e. y4
Praxis® Core Academic Skills for Educators:
Mathematics Practice Test 4 Answers and Explanations
1. a, d, and e. There are, in fact, fve lines of sym- metry (choice a). If you connect each vertex to
the midpoint of the opposite side, you will get a
line of symmetry. There are also four angles of
rotational symmetry (choice d) about the cen-
ter of the pentagon, and a rotation of 144
degrees about the center would accomplish the
transformation suggested in choice e. Choice b
would rotate the fgure around vertex E and
move the pentagon from its current location.
Once the fgure is moved, any refection (choice
c) would change the orientation of the vertices.
So this is not possible.
2. d. The points are closely grouped together, so the correlation is strong. And a quadratic
function describes the relationship, which is
nonlinear. The data do not rise from left to
right throughout the scatterplot, so the
trend is not positive, as is suggested in choice
a. The points are closely grouped together,
which suggests a strong, not a weak, correla-
tion, so choice b is incorrect. Choice c is
incorrect because, as already mentioned, the
points suggest a strong correlation. Addi-
tionally, the points do not fall from left to
right, so the trend is not negative. There is a
proven relationship as well, so choice e is
incorrect.
3. a. Distribute –3x through all terms of g(x), and then simplify:
f(x) – 3x · g(x) = (2x3 – 3x + 4) – 3x(–2x2 – 3x – 1)
= 2x3 – 3x + 4 + 6x3 + 9x2 + 3x
= 8x3 + 9x2 + 4
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4. e. Let w represent the width of the room. That means that the length is 3w – 4. The perime-
ter of a rectangular room is twice the length
plus twice the width. Based on this informa-
tion, you’ll come to the following equation:
2w + 2(3w – 4) = 56
Then solve for w:
2w + 2(3w – 4) = 56
2w + 6w – 8 = 56
8w = 64
w = 8
So, the length of the room is 3(8) – 4 =
20 feet.
Choice a is the width of the room, not the
length. If w represents the width of the
room, then the length is 3w – 4, not 3w + 4
(choice b). If you chose c or d, you did not
multiply the width and length each by 2
when setting up the perimeter equation.
5. c. Let x represent the length of the real trail. Then set up a proportion:
1 inch 4.9 inches = 2.4 miles x miles
(1 inch)(x miles) = (2.4 miles)(4.9 inches) (2.4 miles)(4.9 inches)
x = 1 inch = 11.76 miles
So, x = 11.76 miles.
Choice a is incorrect because after setting up
a proportion, you need to multiply 4.9 by
2.4, not divide 4.9 by 2.4. If you chose choice
b it looks like you simply added 2.4 miles to
4.9 inches, which is incorrect. If you picked
choice d you may have multiplied 4.9 by
itself. This would mean that 1 inch on the
map represents 4.9 miles, which is not true.
Choice e is incorrect because of an arithme-
tic error.
6. b and c. Notice that the two equations are equivalent. (To see this, move the y-term to the
left in the second equation and divide both
sides by 4—you’ll get the frst equation.) Since
the equations are equivalent, you need to test
out a pair of x and y values only once—if they
work in one equation, they’ll work in the other. 3
This is the case for x = 0, y = –1 and x = 5 ,
y = 0. Through this logic, all other answer
choices are incorrect.
7. 17 __ 12. To compute the expected value of a random variable such as this, multiply x times P(X = x)
and add all of them. Doing so yields: 1 1 1 5 1 17
(–2)( 6 ) + 0( 4 ) + 1( 8 ) + 3(24) + 4( 4 ) = 12 8. c. Use the properties of radicals and multiply-
ing fractions to simplify the expression: 8 3 8 3 1 3 1= ⋅ = ⋅ = 16 216 15 15 3 ⋅ 5 2 5
Then rationalize the expression by multiply-
ing the numerator and denominator by √5 to get
1 1 5 5= ⋅ = 2 5 2 5 5 10
Choice a is the reciprocal of the correct
answer. If you picked choice b you sub-
tracted the radicands instead of dividing
them. The correct answer is 1 over the quan-
tity in choice d. Choice e is incorrect because 8 1 1
= 2 , not 8 .16
9. b. Use the Pythagorean theorem to determine the vertical distance v. Doing so produces
this equation:
5,0002 + v2 = 6,2002, which simplifes to
v2 = 13,440,000, so v = √13,440,000 ≈ 3,666 feet.
Choice c is incorrect because 5,000 is the
horizontal distance, not the vertical height.
In choice a, you forgot to square the sides. In
choice d, you treated AB as a leg instead of
the hypotenuse. The same applies to choice
e, but you also forgot to square the sides.
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__
10. c. In this scatterplot, the data points rise from left to right, showing a positive relationship.
And while they aren’t packed extremely
tightly near a line with positive slope, such a
line is visible and shows a trend—meaning
that moderate describes the relationship. The
scatterplot in choice a shows a moderate
negative relationship, since the data points
fall from left to right. The scatterplot in
choice b shows a nearly constant relation-
ship, since the data points are packed
together in what looks like a horizontal line.
Choice d shows a nonlinear relationship
between X and Y. A positive relationship is
shown when data points are clustered near a
line with positive slope. The scatterplot in
choice e does not show a clear relationship
between X and Y.
11. –31. Since the function is recursively defned, start by computing f of the integer values, start-
ing at 2, as follows:
f(2) = f(1 + 1) = 3 – 2f(1) = 3 – 2(5) = –7
f(3) = f(2 + 1) = 3 – 2f(2) = 3 – 2(–7) = 17
f(4) = f(3 + 1) = 3 – 2f(3) = 3 – 2(17) = –31 212. b. Recall that √x = x, if x is a nonnegative real
number. Here, x = 1
. Choice a is incorrectp because p is an irrational number; 3.14 is only an approximation of it. The left side of
the equation in choice c is the sum of two
positive irrational numbers, so it must be
irrational, but the right side equals 4, which
is rational. Choice d is incorrect because the
number e itself is approximately equal to
2.718, whereas √e is smaller, around 1.648. Recall that e ≈ 2.718 and p ≈ 3.14. Therefore, e __ < 1 (so that π
e is also less than 1),p __p πwhereas > 1 (so that e is also greater e
than 1). This means that the inequality in
choice e is false.
13. a and d. Observe that p – 1 ≈ 3.14 – 1 = 2.14 and e ≈ 2.718, which are both greater than 2. The remaining answer choices are all less
than 2.
14. a. The greatest common factor of the three terms in the original expression is 2xy. Fac-
2 2tor it out, and you fnd that 8x y3 – 4xy – 22x y = 2xy(4xy2 – 2y – x). If you factor out
–1, you must change all of the signs of the
terms in the parentheses, making choice b
incorrect. Choice c is incorrect because you
cannot factor a y2 out of the last term in the
expression without creating a fraction. 2Notice that 2xy2(–x) = –2x y2, not –2x2y.
Choice d is almost right, but there is a mis-
take at the end of the expression: (2y – x)
should be (2y + x). You incorrectly added
the last two terms of the expression to arrive
at choice e. These expressions are not like
terms, so they can’t be added.
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15. d. Imagine drawing the line x = –1 on the graph. It’s a vertical line that runs 1 unit to
the left of the y-axis. Point A sits 4 units to
the right of that vertical line, at (3,0), which
means that if you refect triangle ABC across
the line, A’ would fall 4 units to the left of the
line, at (–5,0). Doing a similar conversion
for the other two points of the triangle also
gives the correct coordinates. Remember
that the origin (choice a) is the center point
of the graph, where the x- and y-axes inter-
sect. When a fgure is rotated around the ori-
gin counterclockwise by 90 degrees, (x,y)
becomes (–y,x), which means that A’ would
fall on (0,3), B’ on (0,6), and C’ on (–5,6).
This is not what the question asks for. Here
is a more informal way to understand this:
In the image, the triangle is “sitting” on the
x-axis, 3 units to the right of the origin. If we
rotate it by 90 degrees counterclockwise, it
will now “sit” on the y-axis, 3 units above the
origin. (If we rotate it again by 90 degrees
counterclockwise, it will “sit” on the x-axis, 3
units to the left of the origin, and so on.)
With the transformation in choice b, B’ and
C’ would have the correct coordinates, but A’
would fall on (–11,0), which is not what the
question asks for. With the transformation
in choice c, the triangle A’B’C’ would appear
in the fourth quadrant (the bottom right
corner of the graph), but based on the coor-
dinates in the question, we know that A’B’C’
should appear in the second quadrant (the
upper left corner). Refecting the triangle
across the line created by x = 3 (choice e)
would give A’ the same coordinates as A,
which is not what the question asks for. Fur-
thermore, B’ would fall on (0,0) and C’
would fall on (5,0), which are also incorrect.
16. c. The median is shown in a box-and-whisker plot as the vertical line segment occurring
within the box portion of the plot. Here, that
line occurs at the value 47, which means the
median of the data set is 47. Although 35
(choice a) is the midpoint between the outer
boundaries of the plot (which occur at 10
and 60), it is not the center of the data set;
the median of the data set is shown by the
vertical line within the box, and this occurs
at 47. Choice b represents the lower (or
25th) percentile, not the 50th percentile, or
median. Choice d represents the upper
(or 75th) percentile, not the 50th percentile,
or median. Choice e is the maximum value
of any data point in the data set, not the
middle (or median) of the data set.
17. a. The number 7 is prime and it divides 504 evenly. So 7 is a prime factor of 504.
Although 9 (choice b) is a factor of 504, it is
not a prime number. In choice c, 11 is a
prime number, but it does not divide 504
evenly. Choice d is incorrect because,
although 17 is a prime number, it does not
divide 504 evenly. Although 21 (choice e) is
a factor of 504, it is not a prime number.
18. d. Of all the choices listed, this is the most rea- sonable. It is about twice the height of an
adult person. There are 100 mm in 1 cm. So,
150 mm = 1.5 cm (choice a), which is less
than 2 inches. This is not a reasonable esti-
mate for a full-grown cherry tree. Choice b
would exceed a mile, which is much too tall
for the height of a tree. Choice c is less than
30 inches, or 2.5 feet. This is too small for
the height of a full-grown cherry tree.
Choice e is less than 2 feet, which is too
small for the height of a full-grown cherry
tree.
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19. x = 20, y = 15. First, fnd out what y equals in terms of x. Do this by isolating y in the frst
equation: y = x – 5.
Now use this information to change the y in the
second equation to x – 5. Doing this transforms
the second equation into an equation that has
only one type of variable: x. This allows us to
fnd out the number value of x, which is the key
to learning the number value of y. Here is the
math behind this process:
4(x – 5) – x = 40
4x – 20 – x = 40
3x – 20 = 40
3x = 60
x = 20
Now that we know that x equals 20, we can
replace x with 20 in either one of the equations
to solve for y.
20. a, c, and e. The means of choice a’s and choice c’s distributions are zero, which is not positive.
The mean of the distribution in choice e is neg-
ative. The means of the remaining distributions
are both positive.
21. c. Let b be the portion of butter needed in the reduced recipe. To keep the same balance of
butter and sugar as in the original recipe, set
up the following proportion: 1.5 cups of sugar 1 cup of sugar
= 0.5 cups of butter b cups of butter Then solve for b:
1.5 × b = 1 × 0.5 1.5b = 0.5
1 b = 3
So, to make his favorite frosting, Bob will need 1
to use 3 cup of butter with his 1 cup of sugar.
If you arrived at choice a, you used a pro-
portion to solve the problem, which is cor-
rect, but you inverted one of the fractions by
mistake. Choice b is incorrect because the
recipe does not call for equal parts of sugar
and butter. Choice d is less than how much
is needed. Choice e is half as much as the
amount needed.
22. d. First, simplify the right side and multiply both sides by 8 to clear the fractions. Then
gather the x-terms on one side and the con-
stants on the other to solve for x: 3 3 4 x – 1 = –( 8 x – 2) 3 3 3 4 x – 1 = –( 8 x – 2x – 1 = – 8 x + 2
6x – 8 = –3x + 16
9x = 24 24
x = 9 It looks as if you forgot to distribute the –1
through the parentheses on the right side of
the equation if you picked choice a. Choice b
is the reciprocal of the correct answer. To
arrive at choice c, you forgot to multiply the
1 by 8 when clearing the fractions. If you
picked choice e, it looks as if you subtracted
both sides by 9 rather than dividing by 9 in
the fnal step.
23. d. Let r be the radius of the fower bed, which means the radius of the garden is 3r. The
area of the fower bed is pr2, while the area 2of the garden is p(3r)2 = 9pr . So, the area
of the garden is 9 times the area of the
fower bed. Choice a is the reverse compari-
son. This is what you would multiply the
area of the garden by to fnd the area of the
fower bed. If you picked choice b, it looks as
if you forgot to square the 3 when comput-
ing the area of the garden. If you chose c,
you multiplied 3 by 2 instead of raising 3 to
the second power when squaring 3r. Note
that 32 = 9. If you chose choice e, you cubed
3 instead of squaring it.
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24. c. Use the two labeled points (–3,1) and (3,5) to compute the slope:
5 – 1 4 2 m = = = 3 – (–3) 6 3
The slope is positive, since the line rises from
left to right, and choice a shows a negative
slope, making it incorrect. The slope should
not be zero (choice b) because the line is not
horizontal. Choice d is the reciprocal of the
slope. Choice e is incorrect because you
subtracted the x-coordinate from the
y-coordinate of each point rather than com-
puting the change in y over the change in x. 2 725. 8 panels. First, divide 7 gallons by gallon:5 8
377 52 = 5 37 8 = 296 = 8 16= ×7 7 5 7 35 35 8 8
Then round down, since we need the number
of complete panels. Jeannette can paint 8 com-
plete panels.
26. d. The cost of G gadgets is $9.50G and the cost of S containers of spices is $4.25S. So the
total cost of G gadgets and S containers of
spices is 9.50G + 4.25S. Since Frank has $140
to spend, this total cannot exceed 140. So the
inequality 9.50G + 4.25S ≤ 140 accurately describes the relationship between G and S.
The inequality sign is reversed in choice a. In
choice b, you did not multiply the quantities
G and S by the cost per unit. The S and G
should be interchanged in choice c. The
expressions enclosed within parentheses on
the left side should be added, not multiplied,
making choice e incorrect.
27. b. In a parallelogram, the measures of opposite angles are equal. This means that the mea-
sure of angle X is equal to the measure of
angle Z, and therefore the measure of angle
Z is 43°. Use the sum of the measures of the
angles in a triangle equaling 180° on triangle
WYZ to set up an equation, and then solve
for d:
43 + 80 + d = 180
123 + d = 180
d = 57
These angles in a parallelogram are not
necessarily equal, so choice a is incorrect.
Choices c and d are incorrect because angle
Z measures 43° and angle ZWY measures
80°, so d cannot be 60° because this would
make the sum of three angles in a triangle
greater than 180°. Choice e shows the mea-
sure of angle Y, which is not the value of d.
28. b. The radius of the tank is 1 meter. The vol- 4
ume of a sphere with radius r is 3 pr3. Sub- stituting r = 1 meter into this formula gives
4 a volume of 3 p cubic meters. Choice a is incorrect because you need to multiply by 4.
Choice c is the surface area, not the volume.
In choice d you used the diameter instead of
the radius when computing the volume.
Choice e is the surface area of a sphere with
a radius of 2 meters, but we’re looking for
the volume of a sphere with a diameter of 2
meters.
29. a and b. If you fold the distribution over the y-axis, the graph lines up perfectly, which
implies that it is symmetric (choice a). There
are two identical peaks in the distribution, so it
is bimodal (choice b). If choice c were true,
most of the values would occur to the left and
taper down toward the right. The mean occurs
at 0, which is not positive, making choice d
incorrect. For symmetric distributions, the
mean and median are equal, so choice e is
incorrect.
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30. 16 cans. Let x represent the total number of 8-ounce cans needed. Note that each 8-ounce
can of concentrate is combined with two
8-ounce cans of water. So each 8-ounce can cre-
ates 24 fuid ounces of orange juice. Based on
this, set up the following proportion: _____________________1 can of concentrate x cans of concentrate 24 fuid ounces of juice = 384 fuid ounces of juice
Then solve for x:
24x = 384
x = 16
31. b. A fair selection would result in each student having an equal chance of being selected.
However, if 5 students have last names start-
ing with the letter S while 10 have last names
starting with the letter D, then the students
do not have an equal chance of being
selected. The size of the class (choice a) is
not the deciding criterion about the fairness
of the method. Rather, there may not be an
equal number of students for each letter. To
be fair, each student should have an equal
chance of being selected whether their name
is common or uncommon, making choice c
incorrect. While each letter has an equal
chance of being selected (choice d), there
may be different numbers of students for
each letter. Choice e is incorrect because
random selection can be done with letters or
numbers.
32. a and e. Since 2x2 + 8 is always positive (in fact, no less than 8), the equation in choice a has no
real solutions. In fact, the solutions are ±2i. In
choice e, the discriminant is 12 – 4(2)(3) = –23
< 0, so the solutions are imaginary. The solu-
tions for choice b are –3 and 0, which are real.
The discriminant is 92 – 4(1)(2) = 73 > 0, so the
solutions for choice c are real. The solutions for
choice d are ±√5, which are real.
33. c. There are 60 minutes in an hour and 60 sec- onds in a minute. So, there are 60 × 60 sec- onds in an hour. Also, there are 5,280 feet in
a mile. Using these two facts allows us to
convert from miles per hour to feet per sec-
ond as follows: 110 miles 110 miles 1 hour 5,280 feet
= ×1 hour 1 hour 60 × 60 seconds × 1 mile 110 × 5,280
= feet per second60 × 60 Choices a, b, and e are incorrect because you
did not account for the fact that there are
5,280 feet in 1 mile and 360 seconds in 1
hour. Choice d is incorrect because you
inverted both fractions, namely the ratio of
hours to seconds and the ratio of feet to
miles, when setting up the conversion.
34. e. Let s represent the length of an edge of this shed. Because the shape is a cube, each of the
edges has the same length. This means that
each of the faces has the same area, namely
s2 square meters. Because a cube has six
faces, the surface area is 6s2. And since we
know that the surface area is 294 square
meters, we know that 6s2 = 294, so s =
7 meters. Now we can fnd the volume of
the shed: s3 = 73 = 343 cubic meters. Choice
a is the length of an edge. You must raise this
to the third power to get the volume. You
must raise a side to the third power, not sec-
ond, when fnding the volume of a cube, so
choice b is incorrect. You incorrectly com-
puted the length of an edge as 6 meters in
choice c. It should be 7 meters. Generally,
surface area and volume are not the same.
They are not equal for this fgure, making
choice d incorrect.
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35. b. This is the correct answer. For I, there are 26 black cards and 4 jacks. But 2 of the jacks are
also black, and we don’t want to count them
twice in the total count. So, there are 28 pos-
sibilities, all of which are equally likely. This
means that the probability that the card is ___ ___7black or a jack is 28 = 13 . For II, there are52
four 4s and two red 8s. These conditions are
mutually exclusive, so there are 6 possibili-
ties, all of which are equally likely. So, the
probability that the card is a 4 or a red 8 is ___6 ___3 = 26 . For III, this is the probability that52 the card is either a king or a club. The
remaining answer choices are incorrect fol-
lowing this logic.
36. –2. We must use the fact that y = f(x) if and only if x = f –1(y). Using this with the table
values, notice that f –1(–1) = 2. So,
f –1(f –1(–1)) = f –1(2) = –2.
37. e. First, use the distributive property to factor 23 from both terms of the sum. Then sim-
plify the resulting quantity enclosed within
parentheses, as follows: 7 1 7 1
12 × 23 + 12 × 24 = 23(12 + 12 × 2) 7 2
= 23(12 + 12) 9
= 23(12) 3
= 23( 4 )
By commutativity, this is equivalent to 3 × 23.4 The fractional part is incorrect in choice a:
1 factoring 23 from the product 12 × 24 leaves
1 1 you with 12 × 2, not 12. In choice b you sim- plifed 23 incorrectly as 2 × 3. The fractional part is incorrect in choice c. The power of 2
is incorrect in choice d. You can only factor
23 from both terms of this sum.
38. c. Let x represent the page number of the faster reader. This means that the slower reader is
on page x – 4. We translate the second sen-
tence of the problem into the equation
x + (x – 4) = 408. This simplifes to 2x – 4
= 408, which yields x = 206. Because x is the
page of the faster reader, the slower reader
is on page 202. Choices a and b are incorrect
because when solving the equation for x, you
divided both sides by 4, not 2. It looks like
when you determined that x = 206, you mis-
takenly interpreted that as the slower read-
er’s page. In fact, this was the page for the
faster reader, making choice d incorrect.
Choice e is the current page of the faster
reader.
39. 56 questions. Rewrite 70% as 70 out of 100, and then set up a proportion to see how many
questions q out of 80 must be answered
correctly: 70 __ q= 100 80
Then solve for q:
5,600 = 100q
q = 56
So, you must answer 56 questions correctly to
score 70%.
40. c. A 30-60-90 triangle will always have sides in the ratio of 1x : 2x : √3x, where 2x is the length of the hypotenuse and √3x is the length of the side opposite the 60-degree
angle. The radius is 3, so the diameter must
be 6. The hypotenuse is 2x, so 2x = 6; thus
x = 3. This means that AB = 3√3x. Choice a is incorrect because of the ratio of the sides.
Choice b shows the length of BC, not AB,
and choice d shows the length of the hypote-
nuse. Choice e is incorrect because it is dou-
ble the correct answer.
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____________ ____________
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41. b. This is a conditional probability. Let A be the event that the student is male, and B be the
event that the answer is yes. We are asked to
compute P(A|B). Do so as follows: P(A∩B) 100
8 8P(A | B) = = 29 . Choice aP(B) 29
100
shows the probability that a student is male
and answers yes, but since the answer is yes is
given information, the answer should be
computed as a conditional probability.
Choice c also shows the probability that the
answer is yes, but it does not account for
whether the student is male or female.
Choice d shows the probability that a stu-
dent is not male given that the answer is yes,
and choice e shows the probability that the
student is male, but it does not account for
only those who answered yes.
42. d. Because segment DF is a diameter, it follows that segment DE is a radius. Furthermore,
since segment EG is also a radius (connect-
ing the center to a point on the circle), it fol-
lows that segments DG, GE, and DE are all
congruent. So triangle DGE is an equilateral
triangle. Thus, angle DEG has a measure of
60°. Because angle DEF is a straight angle,
y° + 60° = 180°, so that y = 120°. Therefore,
2y = 240°. Choices a and b are incorrect
because angle DEF is a straight angle,
y° + 60° = 180°, not 90°. Choices c and e
are incorrect because those answer choices
do not show the value of 2y.
43. d. This is the correct answer. First, factor the numerator of the frst rational expression.
Then rewrite the division problem as a mul-
tiplication problem using the reciprocal of
the divisor, and cancel like factors in the
numerator and denominator:
9 – x2 (x + 5)(3 – x) (3 + x)(3 – x) (x + 5)(3 – x)= ÷(x + 5)2 ÷ x (x + 5)2 x (3 + x)(3 – x) x = · (x + 5)2 (x + 5)(3 – x) (3 + x)(3 – x) x = · (x + 5)2 (x + 5)(3 – x) x(x + 3)= (x + 5)3
It looks as if you incorrectly canceled a fac-
tor of x + 5 in choice a. If you arrived at
choice b, you multiplied when you should
have divided. Remember that when convert-
ing a division problem into a multiplication
problem, you take the reciprocal of the divi-
sor. You are missing a factor of x + 5 in the
denominator for choice c. Choice e is incor-
rect because once you had the factored form,
it looks as if you incorrectly simplifed the
denominator. In general, (a + b)3 ≠ a3 + b3. 44. c. We must determine the equation of the
parabola. Its vertex is (2,–1), so the form of
the equation is y + 1 = a(x – 2)2. In order to
determine a, substitute one of the points,
say (3,0), into this equation. Doing so yields
a = 1. So the equation of this parabola is
y + 1 = (x – 2)2. Solving for y yields the
equivalent statement y = (x – 2)2 – 1.
In this form, the x-intercepts occur when
y = 0, which results in the equation
(x – 2)2 – 1 = 0. Choice a is incorrect because
the quantity within the parentheses should
be x – 2. Choices b and e are incorrect
because the 1 should be replaced by –1.
Additionally, in choice e, the 3 should not be
there. Both plus signs should be minus signs,
making choice d incorrect.
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45. d. Substitute the value of x, simplify the numerator and denominator separately, and
then divide the resulting fractions as follows: 1 + ( 34)
2 1 +1 + x2 16 9
16 25
2 = = 9 = 71 − x 1 − ( 3)2 1 −4 16 16
25 16 25 3 4= × = = 16 7 7 7
Choice a is the reciprocal of the correct
answer. After simplifying the fraction on the
top and bottom, you may have divided
incorrectly if you arrived at choice b.
Remember, to convert a division problem
into a multiplication problem, multiply the
top portion of the fraction by the reciprocal
of the bottom (the divisor). You cannot can-
cel like terms in the numerator and denomi-
nator of a fraction; you can only cancel like
factors, so choice c is incorrect. If you picked
choice e, you made a mistake when convert-
ing the answer into an improper fraction in
the fnal step.
46. c. The greatest common factor of a set of whole numbers is the largest whole number
that divides evenly into all of them. Notice
that 30 equals 15 × 2, 45 equals 15 × 3, and 60 equals 15 × 4. The number 15 divides evenly into 30, 45, and 60, and no other
number can do the same. The next candi-
date would be 30, but 30 does not divide
evenly into 45. The number in choice a is a
factor of all three numbers, but it is not the
greatest common factor. The number in
choice b is not a factor of 45, so it cannot be
the greatest common factor of all three
numbers. The number in choice d not a fac-
tor of either 30 or 45, so it cannot be the
greatest common factor of all three num-
bers. Choice e is the least common multiple
of the three numbers, not the greatest com-
mon factor of the three numbers.
47. 5.3 gallons. Two of the walls have dimensions of 12 feet by 9 feet each; the combined area of
these two walls is 12 × 9 × 2 = 216 square feet. The other two walls have dimensions of 15 feet
by 9 feet each; the combined area of these two
walls is 15 × 9 × 2 = 270 square feet. The ceiling has dimensions of 12 feet by 15 feet, so its area
is 180 square feet. This means that the total
square footage that must be painted is 216 +
270 + 180 = 666 square feet. Since two coats of
paint are needed, this number must be doubled,
making 1,332 square feet. The last step is to
divide 1,332 by 250, which yields 5.328 gallons
of paint, or 5.3 gallons when rounded to the
nearest tenth.
48. b. Rewrite the radicand as a quantity squared, 2and then use the fact that √a = a if a ≥ 0,
as follows: 16 36 8 8 18√121y z = √(11y z18)2 = 11y z
In choices a and d you mistakenly took the
square roots of the exponents. Additionally,
in choice d as well as choice c, you forgot to
take the square root of 121. In choice e you
multiplied the exponents by 2 instead of
dividing them by 2.
49. a. First, compute the areas of each of the geo- metric fgures:
Area(R) = 3 · 3 = 9 square units
Area(S) = p · 22 = 4p square units ≈ 12.6 square units
1 Area(T) = 2 · 6 · 6 = 18 square units
Area(U) = 2 · 7 = 14 square units
Area(V) = 3 · 8 = 24 square units
Since a geometric fgure is being selected at
random, they are all equally likely. Since four
of them have an area that is at least 10
square units, the probability of selecting 4
such a fgure is 5 . The remaining answer
choices are incorrect following this logic.
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50. d. Because the three pens are identical and no 51. c. Divide the tank into three simpler parts— fencing is needed along the side that touches
the barn, there are four sides of width w and
three sides of length l that need fencing.
She will use 1,500 feet of fencing to con-
struct all three pens, so the sum of the
lengths of all sides of the three pens must be
1,500. This leads to the following equation:
4w + 3l = 1,500. The area of the three pens
combined is w · (3l). To get an expression in
terms of only w, solve the perimeter equa-
tion for l and substitute it in: 1,500 – 4w4w + 3l = 1,500 ⇒ l = 3
So, the combined area of the pens is:
w · (3l) = w · 3 · 1,500 – 4w 3 = w(1,500 – 4w)
= –4w2 + 1,500w
The combined area of the pens will be
65,000 square feet. To fnd the width of each
pen, set the expression for the area equal to
65,000 and solve for w:
–4w2 + 1,500w = 65,000
4w2 – 1,500w + 65,000 = 0
4(w2 – 375w + 16,250) = 0
4(w – 50)(w – 325) = 0
There are two solutions: w = 50 and w = 325.
The frst solution would yield a value of l
that was larger than w, which cannot be the
case since we are assuming the width is the
longer side. So, the width must be 325 feet,
and choice b is incorrect. Choice a is half of
the correct value of the width. Choice c is
the sum of the four segments needed to con-
struct the pens. You should have divided this
by 4. Choice e is approximately the length of
one pen, not the width.
the two rectangles on either side and the
middle rectangle. Compute the volume of
each part, and then add the volumes and
multiply the sum by the number of gallons
equivalent to 1 cubic foot.
Volume of each of the outer
rectangular parts:
10 ft. × 2 ft. × 5 ft. = 100 cubic feet Volume of middle rectangular portion:
13 ft. × 8 ft. × 5 ft. = 520 cubic feet So, the volume of the entire tank is 720 cubic
feet. Multiplying by 7.85 gallons per cubic
foot yields 5,652 gallons.
Choice a is incorrect because you forgot to
multiply by 7.85 (the conversion between
cubic feet and gallons). In choice b you for-
got to multiply by the height of the tank,
which is 5 feet throughout. Choice d is
incorrect because you accounted for only
one of the two side rectangles. In choice e
you multiplied the volume by 10, not 7.85.
52. e. The least common multiple of a group of whole numbers is the smallest whole num-
ber into which they all divide evenly. Take a
look at the prime factorizations of each of
the numbers in question:
4 = 22
2p = 2p
16q = 24 × q Now take the highest power of every prime
number that occurs anywhere in these prime
factorizations. You’ll arrive at 24 × p × q as the least common multiple. Choice a is the
greatest common factor of the three quanti-
ties, not the least common multiple. Choice
b cannot be the least common multiple,
because q is not included in the product.
The coeffcient in choice c is incorrect
because 16 is not a multiple of 4. Choice d is
a common multiple, but not the least com-
mon multiple.
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______ _____ _____ ______
____________
_____________
_________________
_________________
____________
____________
__ __
53. b and e. The lowest y-value shown on this graph is indeed $10 million (choice b). Proft
remained constant at $20 million in 2004 and
2005 and remained constant at $50 million in
2009 and 2010 (choice e). The points on the
graph at which the largest y-value occurs have a
t-coordinate of 5 and 6, which correspond to
the years 2009 and 2010, making choice a incor-
rect. Proft increased from 2011 to 2012, but
decreased from 2012 through 2014, so choice c
is incorrect. The intervals on which the proft
increases are (1,2), (3,5), and (7,8). The second
of these intervals shows two consecutive years
with an increase in proft; therefore choice d is
incorrect.
54. e. First, rewrite each fraction with the least common denominator (x + 3)(x – 3)2. Then
subtract the numerators by simplifying each
expression and combining like terms, as so: 1 1 1 1 – + = – (x – 3)2 x + 3 x + 3 (x – 3)2
____________(x – 3)2 x + 3 = – (x + 3)(x – 3)2 (x + 3)(x – 3)2 (x – 3) – (x + 3)= (x + 3)(x – 3)2 (x2 – 6x + 9) – (x + 3)= (x + 3)(x – 3)2
x2 – 6x + 9 – x – 3 = (x + 3)(x – 3)2 x2 – 7x + 6 = (x + 3)(x – 3)2
(x – 6)(x – 1)= (x + 3)(x – 3)2 In choice a, the denominator is correct, but
the numerator is not. If you arrived at choice
b, it looks as if you multiplied the numera-
tor and denominator of the frst term by
x – 3 only, when you need to multiply by
(x – 3)2. In choice c, you forgot to include
the numerator in your fnal answer. If you
arrived at choice d it appears that you added
the fractions instead of subtracting them.
55. c. The mean of set A is computed by adding the fve entries and dividing the sum by 5;
this yields a mean of 5. Similarly, the mean
of set B is computed by adding the four
entries of B and dividing the sum by 4; this
yields a mean of 4. Therefore the mean of set
A is larger than the mean of set B, and state-
ment I is true. The standard deviation of
both sets is 0 because for each set all of the
data points are equal to the mean, and there
is no variation among the data points. So
statement II is false. Finally, the median and
mean are both equal to 5 in set A, so III is
true. Following this logic the remaining
answer choices are incorrect.
56. a, b, and e. The reciprocal of any number between 0 and 1 must be larger than 1 (choice
a). Because y is a negative integer less than –1,
the least value of –y is –(–2) = 2. So for all val-
ues of y, the expression in choice b is greater
than 1. Because y is a negative integer less than
–1, the least value of y4 is (–2)4 = 16. So for all
values of y, the expression in choice e is greater
than 1. Choice c is incorrect because y is a nega-
tive integer less than –1, and the greatest value
of – 1 y is
1 2 , which is not greater than 1. Choice d
is incorrect because squaring a number between
0 and 1 always yields an answer that is less than
the original number.
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PRAXISCorePP_07_Note_375-376.indd 375 9/7/17 2:09 PM
A NOTE ON SCORING
In order to evaluate how you did on the Praxis Core diagnostic and practice tests, frst count the number of questions you answered correctly on each test. You will recall that your scores on the multiple-choiceand fll-in segments of the tests are based on only the number of questions you answered correctly; there is no guessing penalty or penalty for unanswered questions. You will also recall that the Educational Testing
Service has not set passing scores for these tests; this is left up to the institutions, state agencies, and associations
that utilize the tests. Therefore, the interpretation of your score depends on the purpose for which you are tak-
ing the test.
If you are unsure of the passing score you will need, you can set yourself a goal of at least 70% of the
answers right on each multiple-choice/fll-in section of the Praxis Core. To fnd the percentage of questions you
answered correctly, add up the number of correct answers and then divide by the total number of questions to
fnd your percentage.
Even if you have scored well on the Reading test, the Mathematics test, and the multiple-choice subsec-
tions of the Writing test, don’t forget that you must receive a passing score on the essay portion of the Praxis
Core Writing test. On this portion, your essay will be scored by at least two writing experts, and their combined
score will be used to evaluate how you did. The scoring criteria are outlined in detail in the answer explanations.
The best way to see how you did on the essay portion of the exam is to give your essay and the scoring criteria to
a teacher or other reader whom you trust to see what scores he or she would assign.
n If you scored below 60% on any subject, you should seriously consider whether you are ready for the Praxis
Core test in this subject at this time. A good idea would be to take some brush-up courses, either at a uni-
versity or community college nearby or through correspondence, in the areas you feel less sure of. If you
don’t have time for a course, you might try private tutoring. n If your score is in the 60% to 70% range, you need to work as hard as you can to improve your skills. It
might also be helpful to ask friends and family to make up mock test questions and quiz you on them.
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PRAXISCorePP_07_Note_375-376.indd 376 9/7/17 2:09 PM
– –A NOTE ON SCORING
n If your score is between 70% and 90%, you could
still beneft from additional work by brushing up
your reading, writing, and general math skills
before the exam. n If you scored above 90%, that’s great! This kind
of score should make you a success in the aca-
demic program of your choice or in a teaching
position.
Once you have honed your test-taking skills, study
again the areas that gave you the most trouble. The
key to success in almost any pursuit is to prepare for
all you are worth. By taking the practice tests in this
book, you have made yourself better prepared than
other people who may be taking the test with you.
You have diagnosed where your strengths and weak-
nesses lie and learned how to deal with the various
kinds of questions that will appear on the test. So go
into the tests with confdence, knowing that you’re
ready and equipped to do your best!
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PRAXISCorePP_08_Online_377-378.indd 377 9/8/17 8:52 AM
ADDITIONAL ONLINE PRACTICE
Using the codes below, you’ll be able to log in and access additional online practice materials!
Your free online practice access codes are: FVEQMD52JD0N3SV7C5468 FVEUPK7NNXX11LVFBWLJ FVE3I6067V3M1Q612YT1
Follow these simple steps to redeem your code:
• Go to www.learningexpresshub.com/affiliate and have your access code handy.
If you’re a new user: • Click the New user? Register here button and complete the registration form to create your account
and access your products. • Be sure to enter your unique access code only once. If you have multiple access codes, you can enter
them all—just use a comma to separate each code. • The next time you visit, simply click the Returning user? Sign in button and enter your username and
password. • Do not re-enter previously redeemed access codes. Any products you previously accessed are saved
in the My Account section on the site. Entering a previously redeemed access code will result in an error message.
If you’re a returning user: • Click the Returning user? Sign in button, enter your username and password, and click Sign In. • You will automatically be brought to the My Account page to access your products. • Do not re-enter previously redeemed access codes. Any products you previously accessed are saved
in the My Account section on the site. Entering a previously redeemed access code will result in an error message.
If you’re a returning user with a new access code: • Click the Returning user? Sign in button, enter your username, password, and new access code, and
click Sign In. • If you have multiple access codes, you can enter them all—just use a comma to separate each code. • Do not re-enter previously redeemed access codes. Any products you previously accessed are saved
in the My Account section on the site. Entering a previously redeemed access code will result in an error message.
If you have any questions, please contact Customer Support at [email protected]. All inquiries will be responded to within a 24-hour period during our normal business hours: 9:00 A.M.–5:00 P.M. Eastern Time. Thank you!
377
PRAXISCorePP_08_Online_377-378.indd 378 9/8/17 8:52 AM
- CONTENTS
- CHAPTER 1 About the Praxis® Core Academic Skills for Educators Tests
- CHAPTER 2 The LearningExpress Test Preparation System
- CHAPTER 3 Praxis® Core Academic Skills for Educators: Practice Test 1
- CHAPTER 4 Praxis® Core Academic Skills for Educators: Practice Test 2
- CHAPTER 5 Praxis® Core Academic Skills for Educators: Practice Test 3
- CHAPTER 6 Praxis® Core Academic Skills for Educators: Practice Test 4
- A Note on Scoring