Inequalities in Action: Write & Solve Real-Life Scenarios

1. Sarah has $50. She wants to buy some books that cost $12 each. Write an inequality to represent how many books she can buy. Solve the inequality.

• 4

• 3

• 5

• 6

2. A concert hall has a seating capacity of 300. If 120 tickets have already been sold, write an inequality to find out how many more tickets can be sold. Solve the inequality.

• x < 180

• x ≤ 300

• x ≥ 120

• x ≤ 180

3. A store is having a sale where each shirt costs $15. If you have $100, write an inequality to determine how many shirts you can buy. Solve the inequality.

• 6

• 10

• 7

• 5

4. Tom is saving money for a video game that costs $60. If he currently has $20, write an inequality to find out how much more he needs to save. Solve the inequality.

• Tom needs to save $50 more.

• Tom needs to save $30 more.

• Tom needs to save $20 more.

• Tom needs to save at least $40 more.

5. A recipe requires at least 3 cups of flour. If you already have 1 cup, write an inequality to find out how many more cups you need. Solve the inequality.

• You need at least 1 more cup of flour.

• You need at least 3 more cups of flour.

• You need exactly 2 cups of flour.

• You need at least 2 more cups of flour.

6. A gym charges a monthly fee of $30. If you want to spend no more than $150 in 6 months, write an inequality to represent this situation. Solve the inequality.

• 30x = 150; x = 5

• 30x ≤ 150; x ≤ 5

• 30x ≥ 150; x ≥ 5

• 30x < 150; x < 5

7. A farmer has 200 apples and wants to pack them into boxes that hold 25 apples each. Write an inequality to find out how many boxes he can fill. Solve the inequality.

• 10

• 6

• 8

• 5

8. Lisa is planning a party and wants to spend no more than $200 on decorations. If she has already spent $75, write an inequality to find out how much more she can spend. Solve the inequality.

• x = 75

• x ≤ 125

• x < 125

• x ≥ 200

9. A school is collecting cans for a food drive. They want to collect at least 500 cans. If they have already collected 250 cans, write an inequality to find out how many more cans they need. Solve the inequality.

• x > 250

• x >= 250

• x < 250

• x <= 250

10. A car rental company charges a base fee of $50 plus $20 for each day rented. If you want to spend no more than $150, write an inequality to represent this situation. Solve the inequality.

• d < 5

• d ≤ 5

• d ≥ 6

• d = 4