Linear Inequality Two Variable Word Problems

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

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?

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?

Tags

CCSS.7.EE.B.4B

Write an inequality:
Twenty-two more than four times a number is less than 82.

• 22 + 4n ≤ 82

• 22 + 4n > 82

• 82 + 22n ≥ 4

• 22 + 4n < 82

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

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 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

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