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Unit Test — Unit test Answers

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It took the race car 22 minutes to travel 114.4 kilometers. At what rate did the car travel? Use the formula , where r is the rate, d is the distance, and t is the time. Round your answer to the nearest tenth.

Question illustration
A
0.2 kilometers per minute
B
5.2 kilometers per minute
C
92.4 kilometers per minute
D
2,516.8 kilometers per minute
22
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Which expression correctly represents “twice the sum of four and a number”?

A
2 (4 + n)
Option A
B
2 (4 n)
Option B
C
2 (4) + n
Option C
D
2 + (4 n)
Option D
23

Which description is paired with its correct expression?

A
four less than the quotient of a number cubed and seven, increased by three;
Option A
B
five times the difference of a number squared and six;
Option B
C
nine more than the quotient of six and a number cubed, decreased by four;
Option C
D
twice the difference of nine and a number squared;
Option D
24

Mrs. Nelson asked students in her class to translate the statement “Remy lost some of the $14 his mom gave him” into an algebraic expression. Four students’ solutions are shown below.Alice: He had $14, then he lost (subtraction) an unknown amount (x).Bobby: He had an unknown amount of money (x) and he lost (subtraction) $14.Camila: He had $14 more than (>) the unknown amount (x) he lost.Daniel: He had $14 less than (<) the unknown amount (x) he lost.Which student’s solution is correct?

Question illustration
A
Alice
B
Bobby
C
Camila
D
Daniel
25

Which two operations are needed to write the expression that represents “four times the difference of a number and three”?

A
multiplication and subtraction
B
division and subtraction
C
multiplication and addition
D
division and addition
26

Which is a correct representation of using algebra tiles?

Question illustration
A
5 boxes contain x.
Option A
B
5 boxes contain plus signs.
Option B
C
5 boxes contain x and 1 box contains a plus sign.
Option C
D
5 boxes contain a plus sign and 1 box contains x.
Option D
27

This morning, Sam walked 4 kilometers in 50 minutes. At what rate did Sam walk?Use the formula , where r is the rate, d is the distance, and t is the time,

Question illustration
A
0.08 kilometers per minute
B
12.5 kilometers per minute
C
46 kilometers per minute
D
200 kilometers per minute
28

Which description is paired with its correct expression?

A
seven less than the quotient of two and a number squared, increased by six;
Option A
B
nine times the difference of a number cubed and three;
Option B
C
eight more than the quotient of a number squared and four, decreased by seven;
Option C
D
twice the difference of a number cubed and eight;
Option D
29

Kelley writes the expression to model the phrase “Xander studied two more hours than Nandini.” Which best explains the accuracy of Kelley’s expression?

Question illustration
A
It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so or are correct translations.
Option A
B
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so is the correct translation.
Option B
C
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “>,” and Nandini’s study time is unknown or “n,” so is the correct translation.
Option C
D
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “<,” and Nandini’s study time is unknown or “n,” so is the correct translation.
Option D
30

Mr. Lin received a box of books in the shape of a rectangular prism. The volume of the box is 486 . What is the width of the box?Use the formula , where l is the length of the prism, h is the height, V is the volume, and w is the width.

Question illustration
A
6 inches
B
9 inches
C
27 inches
D
81 inches
31

What is the expression and value of “six less than the quotient of a number and two, increased by ten” when n = 20?

A
; when n = 20, the value is 14.
Option A
B
; when n = 20, the value is 6.
Option B
C
; when n = 20, the value is 17.
Option C
D
; when n = 20, the value is 3.
Option D
32

Dan’s new appliance arrived in a cardboard box in the shape of cube. What is the surface area of the cardboard box?Use the formula , where SA is the surface area of the cube and s is the length of each side.

Question illustration
A
18
Option A
B
36
Option B
C
54
Option C
D
324
Option D
33

What is the value of the expression “two less than six times the difference of a number and five” when n = 9?

A
22
B
16
C
32
D
31
34

Maria heard on the radio that the high temperature that day would be . To determine the temperature in degrees Celsius, she used the formula , where C is the temperature in degrees Celsius and F is the temperature in degrees Fahrenheit. Which describes a correct step in the process Maria should take to convert the temperature? Check all that apply.

Question illustration
A
Substitute 64 for F.
B
Substitute 64 for C.
C
Subtract 32 from F before multiplying by .
Option C
D
Multiply the value of F by before subtracting 32.
Option D
E
is approximately .
Option E
F
is approximately .
Option F
35

Which steps can be taken to translate the phrase “the height of a tree is increased by seven inches” into an algebraic expression? Check all that apply.

A
Replace “the height of a tree” with a variable, x.
B
Replace “seven inches” with a variable, x.
C
Replace “increased by” with an addition symbol.
D
Replace “seven inches” with 7.
E
Replace “increased by” with a multiplication symbol.
F
Replace “the height of a tree” with 7.
G
Write the expression .
Option G
H
Write the expression .
Option H
36

What is the value of the expression when n = 3?

Question illustration
A
15
B
20
C
36
D
38
37

What is the surface area of a cube that has a side length of 8 mm?Use the formula is , where SA is the surface area of the cube and s is the length of each side.

Question illustration
A
48
Option A
B
96
Option B
C
384
Option C
D
2,304
Option D
38

Which statement could the expression represent?

Question illustration
A
one point greater than the last test grade
B
the difference of Gina’s score and one
C
the total cost less one dollar
D
one minute less than Mickey’s previous time
39

Which expression can be used to represent the phrase “Maren increases the number of servings by six”?

A
n minus 6
Option A
B
6 minus n
Option B
C
n + 6
Option C
D
6 n
Option D
40

What is the value of the expression “eight more than three times the difference of four and a number” when n = 3?

A
44
B
19
C
17
D
11

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