7th Grade Inequalities: Solve & Graph Challenges

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Write and solve the inequality.

• 5

• 6

• 4

• 3

2. A concert hall can hold a maximum of 300 people. If 150 tickets have been sold, how many more tickets can be sold? Write the inequality and solve it.

• 250

• 150

• 200

• 100

3. Tom is saving money for a video game that costs $60. If he saves $5 each week, how many weeks will it take him to save enough? Write the inequality and solve it.

• 15 weeks

• 20 weeks

• 12 weeks

• 10 weeks

4. A school is planning a field trip and needs at least 20 students to sign up. If 15 students have signed up, how many more are needed? Write and solve the inequality.

• 5

• 10

• 3

• 8

5. A recipe requires at least 3 cups of flour. If you have 1.5 cups, how many more cups do you need to buy? Write the inequality and solve it.

• 1.5 cups

• 4 cups

• 3.5 cups

• 2 cups

6. A car rental company charges $30 per day. If you want to spend no more than $150, how many days can you rent the car? Write and solve the inequality.

• 3

• 5

• 4

• 6

7. Lisa wants to buy a new phone that costs $400. If she has $250 saved, how much more does she need to save? Write the inequality and solve it.

• 200

• 100

• 250

• 150

8. A gym has a maximum capacity of 50 members. If there are currently 30 members, how many more can join? Write the inequality and solve it.

• 25

• 10

• 20

• 15

9. A farmer has at least 100 apples. If he sells 25 apples, how many does he have left? Write the inequality and solve it.

• 75 or more apples

• 50 apples

• 80 apples

• 100 apples

10. A student needs to score at least 70% on a test to pass. If the test has 40 questions, how many questions must they answer correctly? Write and solve the inequality.

• 30

• 28

• 25

• 35