Inequality Word Problems

Todd caught at least three times as many fish this year as he caught last year. He caught 63 fish this year. What is the fewest amount of fish he could have caught last year?

• 7

• 24

• 15

• 21

Adam works at a video game store Mon-Fri. He earns $80 per day plus $8 per video game sold. On Thursday, he makes at least $176. Which solution represents the possible number of video games Adam sold?

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks.

Which inequality could help you find how many dogs Katie would have to walk to reach her goal?

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x < 200

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

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

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

Adam works at a video game store Mon-Fri. He earns $80 per day plus $8 per video game sold. On Thursday, he makes at least $176. Which inequality represents this situation?