Inequality Word Problem

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 plus $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450

• 0.85x + 375 < 450

• 0.85 + 375x > 450

• 0.85 + 375x < 450

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Addie saved more than $36. Which inequality represents the amount that she saved? 

• s > 36

• s < 36

• s ≤ 36

• s ≥ 36

To order from the kids menu a person must be no more than 12 years old.

• x > 12

• x < 12

• x ≥ 12

• x  ≤ 12

Which inequality is represented by the words " at least"?

• <

• >

• ≤

• ≥

Which inequality is represented by the words " more than"?

• <

• >

• ≤

• ≥

Which inequality is represented by the words " no more than" or "at most"?

• <

• >

• ≤

• ≥

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour but offers a $55 discount for clients who pay ahead of time. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance if the committee pays ahead of time?

• 125x + 55 < 600

• 125x - 55 > 600

• 125x + 55 > 600

• 125x - 55 < 600

What is the correct inequality for this word problem? 5 less than a number y is under20

• 5 - y < 20

• y - 5 < 20

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have more than $150 in her account. Which inequality represents this situation?