Math 1101 Review
What is the next number in the list? 7, 10, 16, 25, ___
The bar graph below represents various colors of cars sold. Use the graph to answer the question.
Approximately how many more red cars than yellow cars were sold?
35
37
32
28
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
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If 1 mile = 5280 feet, use dimensional analysis to convert 7.2 mi to ft.
Use the chart to convert 2.69 m to cm.
60,000
40,000
50,000
30,000
733.3 ft
38,016 ft
3,168 ft
12,672 ft
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
2 of 33 7/13/2021, 12:10 PM
If 1 m = 3.28 ft, then use dimensional analysis and the given information to convert 100 km to feet.
Determine drug dosage by a patient's weight. For each kilogram of a person's weight, 20 milligrams of a drug is to be given. What dosage should be given to a person who weighs 200 pounds? (Use 1 pound = 0.45 kg)
2,690 cm
269 cm
0.00269 cm
0.0269 cm
3,280 ft
32,800 ft
328,000 ft
328 ft
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
3 of 33 7/13/2021, 12:10 PM
Convert 94 degrees Fahrenheit to its equivalent measure on the Celsius scale. Round to the nearest tenth degree. Use the formula shown below:
8888.89 mg
1,800 mg
4,000 mg
444.44 mg
84.2 degrees C
201.2 degrees C
111.6 degrees C
34.4 degrees C
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
4 of 33 7/13/2021, 12:10 PM
A tree casts a shadow 6 feet long. At the same time, a person who is 4 feet tall casts a shadow that is 2 feet long.
How tall is the tree?
A 12 foot pole is supported by a wire that extends from the top of the pole to a point that is 16 feet from the base of the pole. Use the Pythagorean Theorem to find the length of the wire.
19 feet
12 feet
17 feet
15 feet
20 feet
24 feet
14 feet
28 feet
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
5 of 33 7/13/2021, 12:10 PM
Find the cost of installing a fence around all sides of a rectangular yard that is 50 feet by 90 feet. The fence that is being used costs $8.50 per foot.
How much fencing is required to enclose a circular garden whose radius is 70 m? (round to the nearest meter)
Evaluate the function at the given value of the variable.
$1,190.00
$38,250.00
$3,825.00
$2,380.00
440 m
110 m
140 m
15,386 m
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f(3) =
Use the information given below to write an equation in the form y = mx + b for the average cost, y, of a math text book x years after 1990. Then use the equation to predict the average cost in 2016.
4
14
28
46
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
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Select the graph that best represents the following equation. Each graph is on a scale of one unit.
y = 46x + 70; the cost in 2016 is $1266
y = 6x + 46; the cost in 2016 is $70
y = 6x + 46; the cost in 2016 is $202
y = 46x + 70; the cost in 2016 is $162
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
8 of 33 7/13/2021, 12:10 PM
A manufacturer has total revenue given by the function R(x) = 5.80x and has total cost given by C(x) = 1.80x + 76 where x is the number of units produced and sold.
How many units must be produced to break-even?
The monthly cost of a certain long distance service is given by the function C(t) = 0.05t + 7.95 where c(t) is in dollars and t is the amount of minutes used in a month. Find and interpret c(190).
Graph No. 4
Graph No. 3
Graph No. 1
Graph No. 2
19
304
10
578
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
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Make a scatter plot of the points in the table, and then select the type of function from those below that would best represent the data.
Which graph or graphs DO NOT show a positive correlation?
36.10; it costs $36.41 to use 190 minutes of a certain long distance service in a month.
17.45; it costs $190 to use 17.45 minutes of a certain long distance service in a month.
17.45; it costs $17.45 to use 190 minutes of a certain long distance service in a month.
36.10; it costs $190 to use 36.41 minutes of a certain long distance service in a month.
The data is best represented by an exponential function.
The data is best represented by a linear function.
The data is best represented by a quadratic function.
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
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Which graph or graphs DO NOT show a positive correlation?
Last year, Sam’s salary increased from $30,000 to $35,500.
Calculate the percent increase, and round to the nearest tenths place.
A, E and F
B, C, D and E
A and E
A
2.2%
18.3%
5.5%
15.5%
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
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Last year, enrollment at a college decreased from 8,000 students to 7,500 students. Calculate the percent decrease, and round to the nearest tenth.
A couch sells for $820. Instead of paying the total amount at the time of purchase, the same couch can be bought by paying $400 down and $60 per month for 12 months. How much is saved by paying the total amount at the time of purchase?
A TI-84 graphing calculator costs $98.99.
Find the total cost of the calculator if sales tax is 8%. Round to the nearest cent.
6.6%
6.3%
63%
66%
$300
$100
$420
$30
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
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Suppose $13,000 is deposited into a savings account earning 3% interest compounded semi-annually. Find the balance in the account after 20 years. Round to the nearest cent.
Use one of these formulas to solve the problem.
$106.91
$79.19
$178.18
$91.07
In order to start a small business, a student takes out a simple interest loan for $ for months at a rate of %. 3,000.00 6 7.50
How much interest must the student pay? For simple interest: A = P (1+ r*t) I = P*r*t
$1,125.00
$112.50
$1,350
$75.00
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Suppose $10,000 is deposited into a savings account earning 2% interest compounded quarterly. Find the balance in the account 5 years, rounded to the nearest cent.
Use one of the formulas below to solve the problem.
$267,858.50
$23,582.24
$7,166.41
$252,372.05
$11,000.00
$51,007.53
$11,048.96
$14,859.47
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
14 of 33 7/13/2021, 12:10 PM
You want to have $100,000 in an account after 30 years for your retirement. Your investment counselor suggests that you make regular, quarterly deposits into an annuity that pays 5% interest compounded quarterly. Find the amount that must be deposited quarterly, rounded to the nearest cent.
$ The price of a home is $180,000. The mortgage on the house is a 30-year, fixed rate mortgage at 4%. Use this information to find the amount of the monthly payment. Round your answer to the nearest cent.
Use the formula below to solve the problem.
$288.90
$68.39
$363.35
$40.95
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
15 of 33 7/13/2021, 12:10 PM
The price of a home is $120,000. The bank requires a 10% down payment at the time of closing. The mortgage on the house is a 30-year, fixed rate mortgage at 4%. Use this information to find the amount of the monthly payment. Round your answer to the nearest cent. Use the formula below to solve the problem.
$859.35
$599.70
$912.54
$954.83
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
16 of 33 7/13/2021, 12:10 PM
The below chart gives students and their ages in four small classes. Use the information given by the chart to represent the following set by the roster method, or use the appropriate notation to indicate that the set is the empty set.
{x | x is the set of classes with more than 4 students}
$418.97
$515.61
$810.55
$710.89
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
17 of 33 7/13/2021, 12:10 PM
The number of Subsets for the set A = {a, e, i, o, u} is
If A = {1, 2, 3, 4, 5}
B = {2, 4, 6, 8, 10}
{x | x is the set of classes with more than 4 students} = { }
{x | x is the set of classes with more than 4 students} = {Class 1, Class 2, Class 4}
{x | x is the set of classes with more than 4 students} = {Class 3}
{x | x is the set of classes with more than 4 students} = {Class 1, Class 2, Class 3, Class 4}
31
0
32
5
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18 of 33 7/13/2021, 12:10 PM
If A = {1, 2, 3, 4, 5}
B = {2, 4, 6, 8, 10}
C = {2, 4}
C = {1, 2, 3, 4, 5, 6, 8, 10}
C = { }
C= {1, 2, 3, 5, 8, 10}
C = {1, 2, 3, 4, 5, 6, 8, 10}
C = { }
C = {2, 4}
C= {1, 2, 3, 5, 8, 10}
Given the following sets: U = {a, b, c, d, e, f, g} A = {a, c, e} B = {b, c, d, f}
Represent the set A’ (A complement) in roster form.
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
19 of 33 7/13/2021, 12:10 PM
Use the Venn diagram to represent the set B’ (B complement) in roster form.
A' = {a, c, e}
A' = {b, d, f, g}
A' = {a, b, c, d, e, f, g}
A' = {c}
{1, 4}
{13, 16, 19}
{1, 4, 22, 26}
{8, 10, 13, 16, 19}
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
20 of 33 7/13/2021, 12:10 PM
Write the symbolic statement using words. p: We will go to the park. q: It will rain on Friday.
Let epresent the following statement.s r
: One plays hard.s
Symbolically express the statement: One does not play hard.
> s
- s
~ s
~ V s
We will go to the park if, and only if, it will not rain on Friday.
We will not go to the park if, and only if, it will rain on Friday.
If we won't go to the park, then it will rain on Friday.
We will not go to the park if, and only if, it will not rain on Friday.
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
21 of 33 7/13/2021, 12:10 PM
Let p and q represent the following statements:
p: It is not raining.
q: I will carry an umbrella.
Write the following statement using symbols only:
If it is raining, then I will carry an umbrella.
Complete the truth table for the given statement by filling in the required columns.
p q ~q p V ~ q
T T
T F
F T
F F
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
22 of 33 7/13/2021, 12:10 PM
p q ~q
T T F T
T F T T
F T F F
F F T T
p q ~q
T T F T
T F F T
F T F F
F F F F
p q ~q
T T F T
T F F T
F T T T
F F T T
p q ~q
T T F T
T F T F
F T F F
F F T T
Write the converse of the statement below.
If Mexico is an island, then Australia is an island.
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
23 of 33 7/13/2021, 12:10 PM
Let p and q represent the following statements:
p = Alex goes to the store.
q = Alex buys milk.
Translate the following argument. Then tell whether it is a valid or invalid argument by using the Valid Argument table below.
If Alex goes to the store, he will buy milk. Alex bought milk. Therefore, Alex went to the store.
If Australia is an island, then Mexico is an Island.
If Mexico is not an island, then Australia is not an island.
Mexico is not an island or Australia is not an island.
If Australia is not an island, then Mexico is an island.
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
24 of 33 7/13/2021, 12:10 PM
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25 of 33 7/13/2021, 12:10 PM
Use a Truth Table or the Valid Argument table above to determine if the following symbolic form of an argument is valid or invalid.
Neither valid nor invalid
Invalid
Both valid and invalid
Valid
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
26 of 33 7/13/2021, 12:10 PM
An ice cream parlor offers 4 types of cones, 10 favors of ice cream, and 12 toppings. If you pick one cone, one flavor, and one topping, how many different treats will you have to choose from?
The department of transportation is trying to figure out how many distinct license plates can be made with 8 characters, some letters and some digits. For example: XA12BN35.
Should they calculate the permutations or combinations of the characters?
26
480
48
240
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
27 of 33 7/13/2021, 12:10 PM
How many different ways can you elect a President and Vice President of a company if you have 10 people to choose from?
Use one of these formulas to solve the problem.
Combinations, because the order of the characters selected does matter.
Combinations, because the order of the characters selected does NOT matter.
Permutations, because the order of the characters selected does matter.
Permutations, because the order of the characters selected does NOT matter.
5
45
20
90
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
28 of 33 7/13/2021, 12:10 PM
In a group of 10 people, 4 of them will be selected to serve as members of a committee. How many ways can these 4 people be selected from the group of 10?
Use one of these formulas to solve the problem.
Two coins are flipped. If H represents the coin landing on heads and T represents the coin landing on tails, then the set of equally likely outcomes for the combinations are {TT, TH, HT, HH}.
What is the probability of having exactly one tail?
5040
40
2520
210
1/2
3/4
1
1/4
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
29 of 33 7/13/2021, 12:10 PM
Two coins are flipped. If H represents the coin landing on heads and T represents the coin landing on tails, then the set of equally likely outcomes for the combinations are {TT, TH, HT, HH}.
What is the probability of having NO heads.
Six people from different positions at a company were interviewed for a survey, and their annual salaries were as shown in the table.
Rounded to the nearest dollar, what is the MEAN salary of these employees?
1/2
3/4
1/4
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
30 of 33 7/13/2021, 12:10 PM
Six people from different positions at a company were interviewed for a survey, and their annual salaries were as shown in the table.
What is the MEDIAN salary of these employees?
$42,750
$74,500
$56,733
$61,733
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
31 of 33 7/13/2021, 12:10 PM
Six people from different positions at a company were interviewed for a survey, and their annual salaries were as shown in the table.
What is the MODE years of service for this group of employees?
$42,750
$56,733
$61,733
$74,500
Quiz - QUANTITATIVE REASONING Section 054 Summer Semester ... https://gastate.view.usg.edu/d2l/lms/quizzing/user/attempt/quiz_attempt...
32 of 33 7/13/2021, 12:10 PM
5.7
5
3
5.5
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