Inequality Word Problems

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Write the inequality to the problem.

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Solve the inequality/answer the question.

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

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

• x > 12
• x < 12
• x ≥ 12
• x  ≤ 12

A student must be at least 15 years old to obtain a driver’s permit.

• x > 15
• x < 15 
• x ≤ 15
• x ≥ 15

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

• <
• >
• ≤
• ≥

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

• s > 36
• s < 36
• s ≤ 36
• s ≥ 36

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

•  $520x+6\le1000$  

•  $520+6x\ge1000$  

•  $520x+6\ge1000$  

•  $520+6x\le1000$  

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which solution represents how many signatures Jo needs each week?

• $x\ge80$

• $x\ge2$

• $x\le80$

• $x\le2$

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?

•  $6.89+8.50x\le0.59$  

•  $8.50+0.59x\le6.89$  

•  $0.59+6.89x\le8.50$  

•  $6.89+0.59x\le8.50$  

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. What is the greatest amount of pens can Ann buy?

• 3

• 2.7

• 2

• 1.15