Answers2025-2026_MDCPS_1205070-MJ Grade 8 Pre-Algebra Sem 1-CRUnit Test

Solving Multistep Equations with Variables on Both Sides Answers

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After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?

A
One-half x = 36 + 5
Option A
B
One-half (x minus 5) = 36
Option B
C
One-half (x + 5) = 36
Option C
D
One-half x + 5 = 36
Option D
2
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Tobin is solving the equation . His work is shown below.What mistake did Tobin make?

Question illustration
A
Tobin did not distribute the 3 correctly.
B
Tobin should have subtracted 3.75 from each side.
C
Tobin should have divided by 3.
D
Tobin did not make a mistake.
3

Which is the solution to the equation ? Round to the nearest tenth if necessary.

Question illustration
A
6
B
7.6
C
8.9
D
10
4

A recipe calls for a total of cups flour and sugar. If the recipe calls for cup of sugar, how much flour is needed?

Question illustration
A
cups
Option A
B
cups
Option B
C
cups
Option C
D
cups
Option D
5

What is the least common denominator of the equation ?

Question illustration
A
3
B
9
C
27
D
63
6

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.
7

What is the value of x?

Question illustration
A
2 and StartFraction 7 Over 16 EndFraction
Option A
B
17 and one-third
Option B
C
18 and two-thirds
Option C
D
53 and one-third
Option D
8

What is the least common denominator of the equation ?

Question illustration
A
2
B
9
C
12
D
36
9

Which is the solution to the equation ? Round to the nearest tenth if necessary.

Question illustration
A
0.9
B
3.4
C
5.1
D
20.2
10

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.
11

Martin needs 3.25 gallons of red paint for his small barn and 1.25 gallons of paint for his shed. He spends $81 on paint. How much does the paint cost per gallon?

A
$18.00
B
$24.54
C
$27.00
D
$40.50
12

Nadia bought 4.3 pounds of ham on Tuesday and 1.7 pounds of ham on Wednesday. She spent a total of $41.94. What was the price of the ham per pound?

A
$5.74
B
$6.99
C
$9.36
D
$16.13
13

Last winter Armand had of a row of stacked logs. At the end of the winter he had of the same row left. How much wood did he burn over the winter?

Question illustration
A
rows
Option A
B
rows
Option B
C
row
Option C
D
row
Option D
14

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
15

What is the value of x?

Question illustration
A
One-fourth
Option A
B
StartFraction 8 Over 25 EndFraction
Option B
C
Two-fifths
Option C
D
One-half
Option D
16

What is the first step in solving the equation ?

Question illustration
A
Add 5.2 to each side of the equation.
B
Subtract 5.2 from each side of the equation.
C
Multiply each side of the equation by 4.2.
D
Divide each side of the equation by 5.2.
17

Which is the solution to the equation ? Round to the nearest hundredth if necessary.

Question illustration
A
0.63
B
4.75
C
10
D
76

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