7th Grade Inequalities: Solve and 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.

• 3

• 6

• 5

• 4

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

• 250

• 150

• 100

• 200

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 and solve the inequality.

• 10 weeks

• 12 weeks

• 15 weeks

• 20 weeks

4. A school is planning a field trip and needs at least 20 students to sign up. If 12 students have signed up, how many more are needed? Write the inequality and solve it.

• 10

• 5

• 8

• 15

5. A recipe requires at least 2 cups of sugar. If you have 1.5 cups, how much more do you need? Write the inequality and solve it.

• 1 cup

• 0 cups

• 0.5 cups

• 2.5 cups

6. A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you want to spend no more than $50, how many miles can you drive? Write and solve the inequality.

• 80 miles

• 50 miles

• 100 miles

• 120 miles

7. Lisa wants to buy a new phone that costs $300. If she has $150 saved and plans to save $25 each week, how many weeks will it take her to afford the phone? Write and solve the inequality.

• 10 weeks

• 8 weeks

• 6 weeks

• 4 weeks

8. A farmer has a field that can grow at most 500 plants. If he has already planted 200, how many more can he plant? Write the inequality and solve it.

• 400

• 250

• 350

• 300

9. A gym has a maximum capacity of 100 members. If there are currently 75 members, how many more can join? Write the inequality and solve it.

• 50

• 15

• 30

• 25

10. A store is having a sale where you can buy at least 3 items to get a discount. If you want to buy no more than 10 items, write the inequality and solve it.

• x < 3

• 3 <= x <= 10

• 3 < x < 10

• x > 10