Inequality Expressions in Real-Life Scenarios for Grade 8

1. Sarah has $50 to spend on books. Each book costs $12. Write an inequality to represent how many books she can buy. Solve the inequality.

• 6

• 5

• 3

• 4

2. A school is planning a field trip and needs at least 30 students to sign up. If 12 students have already signed up, write an inequality to find out how many more students need to sign up. Solve it.

• At least 5 more students need to sign up.

• At least 10 more students need to sign up.

• At least 18 more students need to sign up.

• At least 25 more students need to sign up.

3. A concert hall can hold a maximum of 500 people. If 150 tickets have already been sold, write an inequality to find out how many more tickets can be sold. Solve the inequality.

• x < 350

• x ≥ 150

• x ≤ 500

• x ≤ 350

4. Tom is saving money for a new bike that costs $200. If he currently has $75 and saves $25 each week, write an inequality to determine how many weeks it will take him to save enough money. Solve the inequality.

• 5 weeks

• 10 weeks

• 7 weeks

• 3 weeks

5. A recipe requires at least 3 cups of flour. If you already have 1.5 cups, write an inequality to find out how many more cups you need to buy. Solve the inequality.

• x < 1.5

• x = 3

• x >= 1.5

• x > 2.5

6. A gym has a maximum capacity of 100 members. If there are currently 75 members, write an inequality to find out how many more members can join. Solve the inequality.

• x = 30

• x ≥ 50

• x ≤ 25

• x < 25

7. Lisa wants to buy a new phone that costs $600. She has saved $250 and plans to save $50 each month. Write an inequality to find out how many months it will take her to save enough money. Solve the inequality.

• m < 5

• m = 10

• m <= 6

• m >= 7

8. A farmer has 120 acres of land and wants to plant corn on at least 80 acres. If he has already planted corn on 45 acres, write an inequality to find out how many more acres he needs to plant. Solve the inequality.

• 25

• 50

• 60

• 35

9. 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, write an inequality to find out how many miles you can drive. Solve the inequality.

• 100 miles

• 50 miles

• 120 miles

• 80 miles

10. A student needs to score at least 70% on a test to pass. If the test has 50 questions and the student has answered 30 correctly, write an inequality to find out how many more questions he needs to answer correctly to pass. Solve the inequality.

• 10

• 5

• 7

• 3