Solving Real-Life Inequalities: Grade 8 Word Problems

1. A store sells pencils for $0.50 each. If you have $5, how many pencils can you buy? Write an inequality to represent this situation and graph it.

• 20

• 10

• 15

• 5

2. Sarah is saving money for a new bike that costs $200. If she saves $20 each week, write an inequality to show how many weeks it will take her to save enough money. Graph the inequality.

• w < 10

• w <= 10

• w > 10

• w >= 10

3. A school is planning a field trip and needs at least 30 students to sign up. If 15 students have already signed up, write an inequality to represent how many more students need to sign up. Graph the inequality.

• x >= 15

• x > 30

• x <= 15

• x < 15

4. 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 for the number of miles you can drive and graph it.

• m ≥ 150

• m < 50

• m = 100

• m ≤ 100

5. Tom has a budget of $100 to spend on video games. If each game costs $25, write an inequality to represent how many games he can buy and graph it.

• g < 4

• g >= 5

• g <= 4

• g = 3

6. A recipe requires at least 2 cups of flour. If you have 1.5 cups, write an inequality to show how much more flour you need. Graph the inequality.

• x = 2

• x > 1.5

• x >= 0.5

• x < 0.5

7. A gym has a maximum capacity of 50 members. If there are currently 30 members, write an inequality to represent how many more members can join. Graph the inequality.

• x ≤ 25

• x < 20

• x ≤ 10

• x ≤ 20

8. A concert hall can hold a maximum of 500 people. If 350 tickets have been sold, write an inequality to show how many more tickets can be sold. Graph the inequality.

• x <= 150

• x > 350

• x >= 200

• x < 150

10. A student needs to score at least 75% on a test to pass. If the test has 20 questions, write an inequality to show how many questions the student needs to answer correctly. Graph the inequality.

• x < 15

• x >= 15

• x <= 10

• x > 20