Inequality Application Problems

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding? 

• 30 + s ≥ 45
• 30 - s ≥ 45
• 30 + s ≤ 45
• 30 - s ≤ 45

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year? 

• 3y > 63
• 3y < 63
• 3y ≤ 63
• 3y ≥ 63

Tags

CCSS.6.EE.B.8

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 

• 15h ≤ 105
• 15h > 105
• 15h < 105
• 15h ≥ 105

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

6. Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell? 

• x/5.50 ≥ 5225
• 5.50x ≥ 5225
• x + 5.50 ≤ 5225 
• x - 5.50 ≤ 5225

Tags

CCSS.6.EE.B.8

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

Tags

CCSS.7.EE.B.4B

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?

Tags

CCSS.7.EE.B.4B

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?

Tags

CCSS.7.EE.B.4B