Solving One-Variable Inequalities — Unit test Answers

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Rosa earns $12 per hour. In 7.5 hours, she will earn x dollars. Which is a valid proportion that can be used to solve the problem?

A
StartFraction x over 12 EndFraction = StartFraction 1 over 7.5 EndFraction
Option A
B
StartFraction 1 over 12 EndFraction = StartFraction x over 7.5 EndFraction
Option B
C
StartFraction 12 over 1 EndFraction = StartFraction x over 7.5 EndFraction
Option C
D
StartFraction 12 over 1 EndFraction = StartFraction 7.5 over x EndFraction
Option D
5

What is the solution to –4(8 – 3x) ≥ 6x – 8?

A
x ≥ –
Option A
B
x ≤ –
Option B
C
x ≥ 4
D
x ≤ 4
6

Solve the inequality.2(4+2x)≥5x+5

A
x≤−2
B
x≥−2
C
x≤3
D
x≥3
10

The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories, c, in 9 cups of yogurt?

A
StartFraction 5 over 750 EndFraction = StartFraction 9 over c EndFraction
Option A
B
StartFraction 9 over 750 EndFraction = StartFraction 5 over c EndFraction
Option B
C
StartFraction 750 over 5 EndFraction = StartFraction 9 over c EndFraction
Option C
D
StartFraction 750 over 9 EndFraction = StartFraction 5 over c EndFraction
Option D
12

Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.What is the missing step of her solution?

Question illustration
A
Add 10.4 to both sides.
B
Add negative 10.4 to both sides.
C
Multiply both sides of the equation by 10.4.
D
Divide both sides of the equation by 10.4.
14

Solve the equation.2x − 3 + 4x = 21

A
x = −12
B
x = −6
C
x = 4
D
x = 6

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Solving One-Variable Inequalities — Unit test…