AnswersAZ-College Prep Math BUnit Test

Unit Test — Cumulative exam Answers

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The two-way table represents data from a survey asking teachers whether they teach English, math, or both. Which is the joint relative frequency for teachers who teach math and not English? Round the answer to the nearest percent.

Question illustration
A
8%
B
21%
C
33%
D
38%
22
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The function that represents the average cost per person, including transportation, to a museum is . Which statement is true about the graph of the function?

Question illustration
A
The horizontal asymptote y = 0 means the cost approaches zero as the number of people increases.
B
The horizontal asymptote y = 8 means the average cost approaches $8 as the number of people increases.
C
The vertical asymptote x = 0 means the cost approaches zero as the number of people increases.
D
The vertical asymptote x = 8 means the cost approaches zero as the number of people increases.
23

What is the value of 53i 9?

A
–125i
B
–15i
C
15i
D
125i
24

Which expression is equivalent to ?

Question illustration
A
5 StartRoot 3 EndRoot i
Option A
B
6 StartRoot 3 EndRoot i
Option B
C
7 StartRoot 3 EndRoot i
Option C
D
8 StartRoot 3 EndRoot i
Option D
25

Johan used the table below to show the sample space for choosing an outfit for school.Which outfit is part of Johan’s sample space?

Question illustration
A
black pants, white shirt
B
gray pants, green shirt
C
blue pants, brown shirt
D
white pants, white shirt
26

Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses. Card ACard BAmount$1,879.58$861.00APR14%10%Monthly Payment$43.73$18.29After 5 years, how much will Marcia have saved in interest by consolidating the two balances?a.$1,526.40b.$2,422.80c.$105.00d.$227.40

A
A
B
B
C
C
D
D
27

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.

Question illustration
A
1.5
B
2.25
C
3.0
D
4.5
28

A bag contains 1 blue, 2 green, and 3 red marbles, as shown.What is the probability of drawing a green marble out of the bag without looking?

Question illustration
A
StartFraction 1 over 6 EndFraction
Option A
B
One-fifth
Option B
C
One-third
Option C
D
One-half
Option D
29

What is the value of (–3 + 3i) + (–2 + 3i)?

A
–5 – 6i
B
–5 + 6i
C
5 + 6i
D
5 – 6i
30

Raj polled 100 students in his class to compare the number of hours that teen boys and girls played video games each week. The results of his survey are shown below. Which statement about his data sets is true?Hours of Video Game Time per Week for Teen Boys Hours of Video Game Time per Week for Teen Girls

Question illustration
A
The average boy plays 8.5 hours more per week than the average girl.
B
The average boy plays 2 hours more per week than the average girl.
C
The average boy plays the same amount of time per week as the average girl.
D
The average boy plays 6 hours more per week than the average girl.
31

Frank has four different credit cards, the balances and interest information of which are outlined in the table below. He would like to consolidate his credit cards to a single credit card with an APR of 18% and pay off the balance in 24 months. What will his monthly credit card payment be?Credit CardBalanceAPRA$2,380 19%B$4,500 15%C$1,580 17.50%D$900 21%a.$390.00b.$462.91c.$467.29d.$52.00

A
A
B
B
C
C
D
D
32

Which best describes the range of the function f(x) = 2(3)x?

A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2
33

A standard deck of cards has 52 cards, 13 of each of the 4 suits: hearts, diamonds, clubs, and spades. After shuffling the deck, Linbo deals the cards to his friends for the game. Which expression can be used to find the probability that the first three cards that he deals are all hearts if none of them are replaced?

A
(StartFraction 13 over 52 EndFraction) (StartFraction 12 over 52 EndFraction) (StartFraction 11 over 52 EndFraction)
Option A
B
(StartFraction 13 over 52 EndFraction) (StartFraction 12 over 51 EndFraction) (StartFraction 11 over 50 EndFraction)
Option B
C
(StartFraction 13 over 52 EndFraction) (StartFraction 13 over 52 EndFraction) (StartFraction 13 over 52 EndFraction)
Option C
D
(StartFraction 13 over 52 EndFraction) (StartFraction 13 over 51 EndFraction) (StartFraction 13 over 50 EndFraction)
Option D
34

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.
Option D
35

Enzo received the following 5 scores on his math assignments. 100, 95, 90, 98, 92Find the mean and median. Which measure of center would best represent the data?

A
the mean
B
the median
C
both the mean and the median
D
neither the mean nor the median
36

Which equation could generate the curve in the graph below?

Question illustration
A
y = 9x2 + 6x + 4
B
y = 6x2 – 12x – 6
C
y = 3x2 + 7x + 5
D
y = 2x2 + 8x + 8
37

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?

A
2 plus-or-minus StartRoot 10 EndRoot i
Option A
B
1 plus-or-minus StartRoot 10 EndRoot i
Option B
C
StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction
Option C
D
1 plus-or-minus StartRoot 5 EndRoot i
Option D
38

Max recorded the math scores of five of his classmates in the table. Math Scores98761008882What is the range of their test scores?

A
16
B
24
C
88
D
89
39

Which number is missing in the table of values below?xy01162363?41,296

A
108
B
216
C
324
D
648
40

The graph of which function has an axis of symmetry at x = ?

Question illustration
A
f(x) = 2x2 + x – 1
B
f(x) = 2x2 – x + 1
C
f(x) = x2 + 2x – 1
D
f(x) = x2 – 2x + 1

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