AnswersMath 8Solving with the Distributive Property

Solving Equations with Rational Numbers 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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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
3

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.
4

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
5

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
6

Cooper is measuring ingredients for his special dessert. He needs a total of 70.4 mL of milk and melted butter. The recipe calls for 30.6 mL of butter. How much milk, m, does Cooper need for his recipe?

A
2.3 mL
B
39.8 mL
C
40.2 mL
D
101 mL
7

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
8

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
9

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.
10

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.

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