AnswersALC Algebra I ASolving Two-Step Inequalities

Solving Two-Step Inequalities Answers

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Which did you include in your solution? Check all that apply.

A
The solution to the inequality is x 37.5.
Option A
B
For this situation, only whole number solutions make sense.
C
Tony needs to round up to 38.
4

What is the first step in solving c ?

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A
Add to both sides.
Option A
B
Subtract from both sides.
Option B
C
Divide both sides by –5.
Option C
D
Multiply both sides by –5.
Option D
5

Solve –9.4 1.7x + 4.2.

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A
x –8
Option A
B
x 8
Option B
C
x –8
Option C
D
x 8
Option D
6

Solve . x >

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Answer:

9/5

9

Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 500, and determined that if they wash 37 cars, they will have enough money. Is he correct? Explain.

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Answer:

No, Tony is not correct. When you solve the inequality 8x + 200 ≥ 500, you first subtract 200 from both sides to get 8x ≥ 300. Then, dividing by 8 gives x ≥ 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars to meet their goal. 37 cars would only raise 37 * 8 + 200 = $496, which is less than $500.

10

Question text not available

Answers:
.:subtract 47.5 from both sides
.:divide both sides by 4.5
snacks.:3
12

Review Jamie’s work. What was her error?

A
Jamie should have used the less than or equal to sign when writing the inequality.
B
Jamie should have reversed the inequality when using the division property of inequality.
C
Jamie should have added 500 to both sides.
D
Jamie should have started by dividing by –30.
13

The second step is to add 4.5 to both sidessubtract 4.5 from both sidesmultiply both sides by 4.5 ✔ divide both sides by 4.5.

A
add 4.5 to both sides
B
subtract 4.5 from both sides
C
multiply both sides by 4.5
D
✔ divide both sides by 4.5

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