AnswersACHS-Fundamental Algebra A-CREstimating and Finding Decimal Products

Solving Equations with Rational Numbers Answers

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1
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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
2
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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
3

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.
4

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
5

Margo spends a quarter of her paycheck on a new dress, of her paycheck on shoes, and $24 on a birthday present. If she spent $60 altogether, how much was Margo’s paycheck?

Question illustration
A
$96
B
$160
C
$216
D
$504
6

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
7

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
8

What is the least common denominator of the equation ?

Question illustration
A
2
B
9
C
12
D
36
9

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
10

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
11

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.
12

What is the least common denominator of the equation ?

Question illustration
A
3
B
9
C
27
D
63
13

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
14

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
15

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
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.

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