AnswersGA-8th Grade MathematicsUnit Test

Unit Test — Unit test Answers

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The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

A
0.2 inches
B
4.5 inches
C
46.1 inches
D
414.7 inches
2
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The formula to convert °F to °C is C = (F – 32).Convert 50°C to °F.

Question illustration
A
10°F
B
20°F
C
122°F
D
132°F
3

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

A
y = a · πx
B
y = a + (πx)
C
y = a – πx
D
y = a ÷ (πx)
4

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.

A
h = (– b)÷ r
Option A
B
h = – b ÷ r
Option B
C
h = ÷ r – b
Option C
D
h = ÷ r
Option D
5

To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps?

Question illustration
A
–32 and 2
B
–2 and 32
C
–2 and 2
D
–32 and 32
6

Maria solved an equation as shown below.What is the solution to Maria’s equation?

Question illustration
A
19
B
38
C
no solution
D
infinitely many solutions
7

Carey solves the equation by applying the distributive property on both sides of the equation. The result is . Carey then wants to combine like terms. Which are the terms Carey should combine?

Question illustration
A
8x + 2x
B
–4 + 5 + 3 + 2
C
–4 + 5 and 3 + 2
D
4 + 5 and 3 + 2
8

What is the first step in solving the equation ?

Question illustration
A
Subtract from each side of the equation.
Option A
B
Add 2 to each side of the equation.
C
Combine like terms.
D
Multiply each side of the equation by 5.
9

What is the solution to the equation ?

Question illustration
A
One-third
Option A
B
Two-thirds
Option B
C
2
D
12
10

The Star television costs $750 more than the Jupiter television. The two models cost $2,600 all together. Sandra writes an equation to find the cost of the two models. If c represents the cost of the Jupiter television, which of the following would be true when verifying the solution of the equation? Check all that apply.

A
Sandra substitutes into the equation .
Option A
B
Sandra substitutes into the equation .
Option B
C
Sandra finds a true statement after substituting 925 into the equation.
D
Sandra finds a false statement after substituting 925 into the equation.
E
When Sandra evaluates the equation with c = 925, she subtracts 750 from 925. Then, she adds that sum to 925. She finds that the value is not equal to 2,600.
F
When Sandra evaluates the equation with c = 925, she adds 925 to 750. Then, she adds that sum to 925. She finds that the value is 2,600.
11

A rectangle has a length that is 8 less than its width, w. The perimeter is 52. Which equation can be used to determine its width?

A
8 minus w = 52
B
2 (w minus 8) + 2 w = 52
C
(w minus 8) + w = 52
D
2 (8 minus w) + 2 w = 52
12

What is the first step in solving the equation ?

Question illustration
A
Add 6.4 to each side of the equation.
B
Subtract 6.4 from each side of the equation.
C
Multiply each side of the equation by 3.5.
D
Divide each side of the equation by 6.4.
13

What is the value of x?

Question illustration
A
StartFraction 11 Over 36 EndFraction
Option A
B
One-third
Option B
C
1 and StartFraction 11 Over 16 EndFraction
Option C
D
1 and StartFraction 7 Over 16 EndFraction
Option D
14

The perimeters of the square and the regular pentagon are equal.What is the perimeter of each polygon?

Question illustration
A
12
B
15
C
42
D
60
15

What is written in slope-intercept form?

Question illustration
A
y = five-thirds x + 5
Option A
B
y = negative five-thirds x minus 5
Option B
C
y = five-thirds x minus 5
Option C
D
y = negative five-thirds x + 5
Option D
16

Which represents the equation when solved for y?

Question illustration
A
y = negative 2 x + 4
Option A
B
y = 2 x + 4
Option B
C
y = negative 2 x minus 4
Option C
D
y = 2 x minus 4
Option D
17

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.

C
C = K – 273.15
C
C = 273.15 – K
C
C = K + 273.15
C
C = 273.15K
18

Which are equivalent equations? Select two correct answers.

A
s =
Option A
B
s =
Option B
C
s = LAr
Option C
D
r =
Option D
E
r = LAs
Option E
19

A baby gains 11 pounds in its first year of life. The baby gained pounds during the first four months and pounds in its second four months. How much did the baby gain in the last four months?

Question illustration
A
pounds
Option A
B
pounds
Option B
C
4 pounds
D
5 pounds
20

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation ?

Question illustration
A
Negative one-fourth x = 1
Option A
B
Negative three-fourths x = 1
Option B
C
7 = one-fourth x
Option C
D
7 = three-fourths x
Option D

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