Real-Life Inequalities: Graphing & Checking Solutions

1. Sarah has $50. She wants to buy some books that cost $8 each. Write an inequality to represent how many books she can buy. Graph the solution.

• b >= 7

• b <= 5

• b < 6

• b <= 6

2. A school is planning a field trip and needs at least 30 students to sign up. If 12 students have already signed up, write an inequality to find out how many more students need to sign up. Check your solution.

• At least 25 more students need to sign up.

• At least 10 more students need to sign up.

• At least 5 more students need to sign up.

• At least 18 more students need to sign up.

3. A movie theater charges $10 per ticket. If you have $60, write an inequality to determine how many tickets you can buy. Graph your solution.

• x >= 7

• x < 6

• x = 5

• x <= 6

4. Tom is saving money to buy a new video game that costs $40. If he currently has $25, write an inequality to find out how much more he needs to save. Check your solution for accuracy.

• x <= 20

• x < 15

• x > 15

• x >= 15

5. A recipe requires at least 2 cups of sugar. If you already have 1.5 cups, write an inequality to find out how much more sugar you need. Graph the solution.

• x > 1.5

• x = 1

• x < 0.5

• x >= 0.5

6. A gym has a maximum capacity of 100 members. If there are currently 75 members, write an inequality to find out how many more members can join. Check your solution.

• x = 50

• x < 25

• x ≥ 75

• x ≤ 25

7. Lisa is running a race and wants to finish in under 30 minutes. If she has already run for 18 minutes, write an inequality to find out how much time she has left. Graph your solution.

• x < 10

• x < 12

• x = 12

• x > 12

8. A store is having a sale where you can buy at least 3 items to get a discount. If you have already bought 2 items, write an inequality to find out how many more items you need to buy. Check your solution for accuracy.

• x >= 1

• x <= 0

• x = 2

• x > 1

9. A farmer has 50 apples and wants to pack them into bags of 5 apples each. Write an inequality to determine how many bags he can fill. Graph the solution.

• b <= 10

• b >= 10

• b = 5

• b < 10

10. A concert venue can hold a maximum of 200 people. If there are already 150 tickets sold, write an inequality to find out how many more tickets can be sold. Check your solution for accuracy.

• x ≤ 50

• x < 50

• x ≤ 100

• x ≥ 50