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math_012_problems-1.docMath 012
Midterm Exam Page 2
Math 012 Midterm Exam
Name________________________________
Instructions:
· The exam is worth 75 points. There are 15 questions, each worth 5 points.
· This exam is open book and open notes, and you may take as long as you like on it provided that you submit the exam no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone.
· You must show all of your work to receive full credit. If a problem does not seem to require work, write a sentence or two to justify your answer.
· Please type your work in your copy of the exam, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in the document. Review instructions for submitting your exam in the Quizzes and Exams Conference.
· If you have any questions, please contact me by e-mail ( [email protected] ).
1) Simplify the expression:
(
)
224
3532
258
---
--
2) Solve the equation:
(
)
(
)
43346
xx
--=-
3) Solve the equation:
(
)
(
)
52337
xxx
-+=-
4) Solve the equation:
(
)
(
)
311
87
882
xxx
-+=--
5) Solve the equation:
(
)
1.43.10.227.5
xx
-=-
6) Solve the equation:
(
)
21
3
1243
x
xx
+
-
-=
7) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line:
57912
xx
->-
8) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line:
32159
x
£-<
9) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line:
7521
x
-<-£
10) Joanne paid $27,840 as a down payment for her house. If the down payment was 12% of the actual cost of the house, what was the actual cost?
11) Cindy bought a new computer that was advertised at a 20% reduced price. If the sale price that Cindy paid was $1440, what was the original price of the computer? (Ignore taxes).
12) Lucas wins $50000 (after taxes) in the lottery and decides to invest half of it in a 5-year CD that pays 5.35% interest compounded quarterly (4 times/year). He invests the other half in a money market fund that unfortunately turns out to average only 2.6% interest compounded annually over the 5-year period. How much money will he have altogether in the two accounts at the end of the 5-year period?
13) Given
(
)
2
341
fxxx
=--
and(
)
82
gxx
=-
, find each of the following:a)
(
)
2
f
b)
(
)
2
g
-
c)
(
)
1
f
-
d)
1
4
g
æö
ç÷
èø
e)
(
)
4
f
-
14) Given the points (-2, 1) and (3, -4):
a) Find the slope of the line through the points.
b) Write an equation in point-slope form of the line through the points.
c) Convert the equation to slope-intercept form.
d) Convert the equation to standard form.
e) Graph the equation. You may use the axes provided, or create your own graph.
-4
4
-4
4
x
y
15) a) Write an equation of a vertical line through the point (-3, -5).
b) Write an equation of a horizontal line through the point (4, -7).
c) Find the slope of a line parallel to the line with equation 3x – 2y = 6.
d) Find the slope of a line perpendicular to the line with equation 4x + 2y = -12
e) Multiple choice: which of the following is the graph of the function
(
)
(
)
2
23
fxx
=-+
? State the letter of the correct response.A)
-7-6-5-4-3-2-112345678
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
x
y
B)
-7-6-5-4-3-2-112345678
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
x
y
C)
-7-6-5-4-3-2-112345678
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
10
11
x
y
D)
-7-6-5-4-3-2-112345678
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
10
11
x
y
End of exam: please do not forget to write and sign (or type) the required statement explained in the on page 1 of the exam.
At the end of your exam you must include the following dated statement with your name typed in lieu of a signature. Without this signed statement you will receive a zero.
I have received no help from any online source or any person except the teacher on this exam.
Name: Date:
