Inequalities & Equations: Real-Life Word Problems

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Write an inequality to represent this situation.

• b <= 4

• b <= 5

• b >= 4

• b < 3

2. A school is planning a field trip and needs to collect at least $300. If each student pays $15, how many students need to participate? Write an inequality and solve for the number of students.

• 30

• 25

• 15

• 20

3. Tom is saving money to buy a new video game that costs $60. If he currently has $20 and saves $5 each week, write an equation to find out how many weeks it will take him to save enough money.

• 12 weeks

• 6 weeks

• 8 weeks

• 10 weeks

4. A concert hall can hold a maximum of 500 people. If 150 tickets have already been sold, write an inequality to represent the maximum number of additional tickets that can be sold.

• x < 350

• x ≤ 500

• x ≥ 150

• x ≤ 350

5. Lisa wants to buy a new phone that costs $400. She has saved $150 and plans to save $25 each week. Write an equation to determine how many weeks it will take her to have enough money.

• 20 weeks

• 15 weeks

• 5 weeks

• 10 weeks

6. A farmer has a budget of $200 to buy seeds. If each packet of seeds costs $8, write an inequality to find out how many packets he can buy without exceeding his budget.

• x <= 25

• x >= 20

• x < 25

• x = 30

7. A gym has a maximum capacity of 100 members. If there are currently 75 members, write an inequality to represent how many new members can join without exceeding the capacity.

• x ≥ 25

• x ≤ 25

• x < 25

• x = 50

8. A movie theater charges $10 per ticket. If a group of friends wants to spend no more than $80 on tickets, write an inequality to find out how many tickets they can buy.

• x < 8

• x <= 8

• x >= 10

• x = 5

9. Emily is making bracelets to sell. She can make at least 3 bracelets per hour. If she wants to make at least 15 bracelets, write an inequality to find out how many hours she needs to work.

• h >= 5

• h > 6

• h = 4

• h < 5

10. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality to determine how many miles they can drive.

• m ≤ 250

• m ≤ 150

• m ≤ 300

• m ≤ 200