Equations & Inequalities: Real-World 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.

• 3

• 6

• 5

• 4

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 pay to meet the goal? Write an inequality and solve it.

• 30

• 15

• 25

• 20

3. Tom is saving money for a 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 have enough money.

• 6 weeks

• 8 weeks

• 10 weeks

• 12 weeks

4. A concert hall can hold a maximum of 500 people. If 200 tickets have already been sold, write an inequality to represent how many more tickets can be sold.

• x ≥ 500

• x < 200

• x > 300

• x ≤ 300

5. Lisa wants to buy a new phone that costs $300. If she has $75 saved and plans to save $25 each week, write an equation to determine how many weeks it will take her to afford the phone.

• 11 weeks

• 9 weeks

• 5 weeks

• 7 weeks

6. A farmer has a budget of $200 to buy seeds. If each packet of seeds costs $15, write an inequality to find out how many packets he can buy without exceeding his budget.

• x <= 13

• x < 13

• x = 12

• x >= 14

7. A gym charges a monthly fee of $30. If you want to spend no more than $150 on gym fees, write an inequality to find out how many months you can afford to go to the gym.

• m ≤ 3

• m ≤ 7

• m ≤ 5

• m ≤ 4

8. A store is having a sale where all items are 20% off. If you want to buy a jacket that originally costs $80, write an equation to find out how much you will pay after the discount.

• $72

• $80

• $48

• $64

9. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you want to spend no more than $100, write an inequality to find out how many miles you can drive.

• m ≤ 150

• m ≤ 300

• m ≤ 250

• m ≤ 200

10. A recipe requires at least 3 cups of flour. If you have 1.5 cups already, write an inequality to determine how many more cups you need to buy to meet the requirement.

• x < 1.5

• x = 1.5

• x >= 1.5

• x > 3.5