Mastering One-Variable Inequalities: Real-Life Challenges

1. A store sells notebooks for $2 each. If you have $20, how many notebooks can you buy? Write and solve the inequality.

• 5

• 10

• 15

• 8

2. Sarah is saving money to buy a new bike that costs $150. If she saves $15 each week, how many weeks will it take her to save enough? Write and solve the inequality.

• 20 weeks

• 15 weeks

• 5 weeks

• 10 weeks

3. A class trip costs $300. If each student contributes $25, how many students are needed to cover the cost? Write and solve the inequality.

• 10

• 15

• 20

• 12

4. A recipe requires at least 3 cups of flour. If you have x cups of flour, write an inequality to represent how much more flour you need to meet the requirement.

• x + 3 < 0

• 3 - x > 0

• 3 + x < 3

• x - 3 < 0

5. A concert hall has a maximum capacity of 500 people. If there are already 350 tickets sold, how many more tickets can be sold? Write and solve the inequality.

• 200

• 100

• 150

• 250

6. Tom wants to buy video games that cost $40 each. If he has $200, how many games can he buy? Write and solve the inequality.

• 4

• 3

• 5

• 6

7. A gym charges a monthly fee of $30. If you want to spend no more than $300 in a year, how many months can you afford to go? Write and solve the inequality.

• 5 months

• 10 months

• 12 months

• 8 months

8. A car can travel at most 300 miles on a full tank of gas. If you have already driven 150 miles, how many more miles can you drive? Write and solve the inequality.

• 100 miles

• 150 miles

• 50 miles

• 200 miles

9. A farmer has at least 100 apples to sell. If he sells x apples, write an inequality to represent how many apples he has left.

• x = 100

• x > 100

• x < 0

• x <= 100

10. A school is planning a field trip and needs at least $500 to cover costs. If each student pays $20, how many students need to participate? Write and solve the inequality.

• 25

• 20

• 40

• 30