AnswersAZ-Algebra 1A MA101Solving One-Variable Inequalities

Solving One-Variable Inequalities — Unit test Answers

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1
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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
2
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What is the value of p in the linear equation ?

Question illustration
A
−4
B
−2
C
2
D
4
3

What is the value of x in the proportion below?

Question illustration
A
6
B
9
C
12
D
60
4

The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

A
= h
Option A
B
= h
Option B
C
Pmg = h
D
= h
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
7

What value of x is in the solution set of the inequality –2(3x + 2) > –8x + 6?

A
–6
B
–5
C
5
D
6
8

Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her average speed was 8.75 kilometers per hour. For the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour. Which expression represents Nikita’s distance for the second part of the race?

Question illustration
A
6t
B
0.65 – t
C
6(0.65) – t
D
6(0.65 – t)
9

For a school project, Layla makes a paste made from only two ingredients: flour and water. The ratio table shows the relationship between the number of cups of flour and the total number of cups of paste she can make. What is the ratio of flour to water in the paste?Paste MixtureCups of FlourCups of Paste34689121216

A
1:3
B
3:4
C
4:3
D
3:1
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
11

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides.Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole number.

A
6 sides
B
7 sides
C
8 sides
D
9 sides
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.
13

If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete?

Question illustration
A
8r
B
8(5)
C
r
Option C
D
(5)
Option D
14

Solve the equation.2x − 3 + 4x = 21

A
x = −12
B
x = −6
C
x = 4
D
x = 6

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