Mastering Linear Inequalities: Real-Life Applications for 8th Graders

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Solve the inequality and graph it on a number line.

• 5

• 4

• 3

• 6

2. A school is planning a field trip and needs at least 30 students to sign up. If 5 students have already signed up, how many more need to sign up? Write and solve the inequality, then graph it.

• 20

• 25

• 10

• 15

3. Tom is saving money for a video game that costs $60. If he currently has $20, how much more does he need to save? Write the inequality and graph it on a number line.

• Tom needs to save $50 more.

• Tom needs to save at least $40 more.

• Tom needs to save $20 more.

• Tom needs to save $30 more.

4. A recipe requires at least 2 cups of sugar. If you already have 1.5 cups, how much more do you need? Write the inequality and solve it, then graph your solution.

• 1 cup

• 2.5 cups

• 3 cups

• 0.5 cups

5. A concert hall can hold a maximum of 500 people. If 350 tickets have been sold, how many more can be sold? Write the inequality, solve it, and graph it on a number line.

• 100

• 200

• 150

• 250

6. Lisa wants to run at least 15 miles this week. If she has already run 7 miles, how many more miles does she need to run? Write and solve the inequality, then graph it.

• 10

• 12

• 8

• 5

7. A car rental company charges a minimum of $30 per day. If you want to rent a car for x days, what is the minimum amount you will spend? Write the inequality and graph it on a number line.

• total_cost = 30 + x

• total_cost > 30 * x

• total_cost >= 30 * x

• total_cost <= 30 * x

10. A student needs to score at least 75% on a test to pass. If the test has 40 questions, how many questions must they answer correctly? Write the inequality, solve it, and graph your solution.

• 35

• 25

• 40

• 30