8th Grade Inequalities: Solve & Graph Linear 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.

• 4

• 5

• 3

• 6

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.

• 200

• 100

• 150

• 250

3. Tom is saving money for a new bike that costs $200. If he currently has $75, how much more does he need to save? Write the inequality and solve it.

• 125

• 150

• 200

• 100

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

• 8

• 3

• 10

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.

• 2 cups

• 1.5 cups

• 4 cups

• 3.5 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

• 100 miles

• 120 miles

• 60 miles

7. Lisa wants to buy a new phone that costs $600. If she has saved $250, how much more does she need to save? Write the inequality and solve it.

• 350

• 400

• 450

• 300

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.

• 20

• 15

• 25

• 10

9. A farmer has at least 100 apples to sell. If he sells them in bags of 8 apples each, how many bags can he sell? Write and solve the inequality.

• 8

• 12

• 15

• 10

10. A student needs to score at least 70% on a test to pass. If the test has 50 questions, how many questions must they answer correctly? Write the inequality and solve it.

• 25

• 35

• 30

• 40