Real-Life Inequalities: Write & Graph Your Solutions

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

• 3

• 6

• 5

• 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, how many more need to sign up? Write an inequality and graph it.

• At least 18 more students need to sign up.

• At least 25 more students need to sign up.

• At least 10 more students need to sign up.

• At least 5 more students need to sign up.

3. Tom is saving money for a video game that costs $60. If he currently has $25, how much more does he need to save? Write an inequality and represent it on a number line.

• Tom needs to save $50 more.

• Tom needs to save $45 more.

• Tom needs to save $30 more.

• Tom needs to save at least $35 more.

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

• You need at least 3.5 cups of flour.

• You need at least 1.5 more cups of flour.

• You need at least 0.5 cups of flour.

• You need at least 2 cups of flour.

5. Lisa wants to run at least 15 miles this week. If she has already run 6 miles, how many more miles does she need to run? Write an inequality and graph it on a number line.

• x <= 6

• x >= 9

• x < 9

• x = 15

6. A concert hall can hold a maximum of 500 people. If 350 tickets have been sold, how many more can be sold? Write an inequality and graph it.

• 400

• 200

• 100

• 150

7. A car rental company charges a minimum of $30 per day. If you want to rent a car for x days, how much will it cost? Write an inequality for the total cost and graph it.

• C < 30x

• C <= 30 + x

• C = 30x + 10

• C >= 30x

8. A gardener needs to plant at least 100 flowers. If he has already planted 45, how many more does he need to plant? Write an inequality and represent it on a number line.

• 70

• 60

• 50

• 55

9. A student needs to score at least 70% on a test to pass. If the test has 50 questions, how many questions can he miss? Write an inequality and graph it.

• 15

• 25

• 20

• 10

10. A store is having a sale where you can save at least $20 on a purchase. If the item costs $80, what is the minimum amount you need to spend to get the discount? Write an inequality and graph it on a number line.

• x >= 60

• x <= 40

• x < 60

• x > 80