Solving Real-Life Inequalities: Grade 8 Challenge

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

• 5

• 4

• 6

2. A concert hall can hold a maximum of 300 people. If 120 tickets have already been sold, how many more tickets can be sold? Write the inequality and solve it.

• 250

• 200

• 150

• 180

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.

• 100

• 125

• 150

• 200

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

• 2 cups

• 3.5 cups

• 4 cups

• 1.5 cups

5. A school is planning a field trip and needs at least 15 students to sign up. If 8 students have signed up, how many more are needed? Write the inequality and solve it.

• 5

• 10

• 12

• 7

6. A car rental company charges a base 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.

• 100 miles

• 50 miles

• 120 miles

• 75 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.

• 400

• 300

• 350

• 450

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.

• 15

• 25

• 20

• 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.

• 10

• 12

• 15

• 8

10. A movie theater has a seating limit of 200. If 150 tickets are sold, how many more can be sold? Write the inequality and solve it.

• 100

• 25

• 75

• 50