Inequality 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?

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?

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. How many cups of lemonade does Stacy need to sell to have more than $150 in her savings account?

• 63

• 125

• 250

• 300

Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. What is the maximum number of pizza slices Wes can buy?

• 6

• 5

• 4

• 3

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

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

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

A number multiplied by 2 is no more than 12

• x > 12
• x < 12
• 2x ≤ 12
• 2x > 12