Solving Real-Life Inequalities: Grade 8 Challenges

1. A school is planning a field trip and needs at least 30 students to sign up. If 12 students have already signed up, how many more need to sign up? Write and solve the inequality.

• 15

• 25

• 18

• 20

2. A gym charges a monthly fee of $25 plus $5 for each class attended. If a member wants to spend no more than $75 in a month, how many classes can they attend? Write and solve the inequality.

• 10

• 5

• 15

• 20

3. A farmer has 100 acres of land and wants to plant corn and wheat. If he plants corn on at least 40 acres, how many acres can he plant wheat on? Write and solve the inequality.

• 50 acres

• 80 acres

• 70 acres

• 60 acres

4. A concert hall has a seating capacity of 500. If 200 tickets have been sold, how many more tickets can be sold without exceeding capacity? Write and solve the inequality.

• 250

• 100

• 400

• 300

5. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, how many miles can they drive? Write and solve the inequality.

• 200 miles

• 300 miles

• 250 miles

• 150 miles

6. A student needs to score at least 70% on a test to pass. If the test has 50 questions, how many questions can they miss and still pass? Write and solve the inequality.

• 15

• 10

• 20

• 25

7. A store is having a sale where customers can buy items at a discount. If a customer has a budget of $200 and each item costs $25, how many items can they buy? Write and solve the inequality.

• 6

• 12

• 10

• 8

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

• 0.5 cups

• 1 cup

• 3 cups

• 2.5 cups

9. A bike shop sells bikes for $300 each. If a customer wants to spend no more than $1200, how many bikes can they buy? Write and solve the inequality.

• 5

• 3

• 4

• 2

10. A charity event aims to raise at least $5000. If they have already raised $3000, how much more do they need to raise? Write and solve the inequality.

• $1500

• $2500

• $3000

• $2000