Solving Two-Step Inequalities

Question 1

What is the first step in solving c ?

Revolt · Accepted Answer

A: Add to both sides.

Question 2

Solve –9.4 1.7x + 4.2.

Revolt · Accepted Answer

A: x –8

Question 3

Solve . x >

Revolt · Accepted Answer

9/5

Question 4

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 5

Monica can buy cups of yogurt.

Revolt · Accepted Answer

14

Question 6

Question 6

Revolt · Accepted Answer

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

Question 7

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 8

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.

Revolt · Accepted Answer

D: ✔ divide both sides by 4.5

Question 9

The five friends will have to split ✔ 33.9422 snacks.

Revolt · Accepted Answer

A: ✔ 3

Question 10

A taxi charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $10, otherwise he will take a bus. Carl is 15 miles from home. Explain how to write and solve an inequality to determine if Carl will take the taxi or a bus.

Revolt · Accepted Answer

To determine if Carl will take the taxi, let x represent the number of miles. The inequality for the cost is 0.50x + 3 < 10. To solve, first subtract 3 from both sides of the inequality to get 0.50x < 7. Next, divide both sides by 0.50 to find that x < 14. This means Carl can only afford the taxi if the trip is less than 14 miles. Since Carl is 15 miles from home, he will take the bus.

Solving Two-Step Inequalities Answers

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