Solving Two-Step Inequalities

Question 1

Which number line shows the solution to 11x + 14 < –8?

Revolt · Accepted Answer

D

Question 2

What is the first step in solving c ?

Revolt · Accepted Answer

A: Add to both sides.

Question 3

Solve –9.4 1.7x + 4.2.

Revolt · Accepted Answer

A: x –8

Question 4

Solve . x >

Revolt · Accepted Answer

9/5

Question 5

Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Which inequality can you use to find the number of cups of yogurt Monica can buy?

Revolt · Accepted Answer

B: 1.20x + 2.5 20

Question 6

Monica can buy cups of yogurt.

Revolt · Accepted Answer

14

Question 7

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.

Revolt · Accepted 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.

Question 8

Question 8

Revolt · Accepted Answer

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

Question 9

The first step in solving the inequality is to add 47.5 to both sides✔ subtract 47.5 from both sidesmultiply both sides by 47.5divide both sides by 47.5.

Revolt · Accepted Answer

B: ✔ subtract 47.5 from both sides

Question 10

Review Jamie’s work. What was her error?

Revolt · Accepted Answer

B: Jamie should have reversed the inequality when using the division property of inequality.

Solving Two-Step Inequalities Answers

More from this Course

TRY EDGENUITY HACKS