Real-Life Inequalities: Graphing and Evaluating Expressions

1. Sarah has 15 apples. She gives some to her friend and has at least 8 apples left. Write an inequality to represent the number of apples she gave away. Graph this inequality on a number line.

• x >= 7

• x > 7

• x < 8

• x <= 7

2. A box can hold a maximum of 20 pounds. If it currently holds 12 pounds, how many more pounds can be added? Write an inequality and evaluate it.

• 15

• 5

• 8

• 10

3. Tom has $50. He spends some money but wants to have at least $20 left. Write an inequality to show how much he can spend. Graph this on a number line.

• x > 50

• x <= 30

• x >= 30

• x < 20

4. A school has 200 students. If 30 students are absent, how many students are present? Write an inequality to represent the number of students present and evaluate it.

• 170

• 200

• 180

• 160

5. Lisa read 25 pages of a book. She wants to read at least 10 more pages today. Write an inequality to represent the total pages she will read. Graph this on a number line.

• x > 25

• x = 30

• x >= 35

• x < 35

6. A car can travel a maximum of 300 miles on a full tank. If it has already traveled 150 miles, how many more miles can it travel? Write an inequality and evaluate it.

• 100 miles

• 250 miles

• 150 miles

• 200 miles

7. Mark has 40 stickers. He gives away some but wants to keep at least 10. Write an inequality to represent the number of stickers he can give away. Graph this on a number line.

• x > 10

• x >= 40

• x <= 30

• x < 30

8. A recipe requires at least 2 cups of sugar. If you have 1.5 cups, how much more do you need? Write an inequality and evaluate it.

• 0 cups

• 1 cup

• 0.5 cups

• 2.5 cups

9. A concert hall can seat 500 people. If 350 tickets have been sold, how many more can be sold? Write an inequality to represent this situation and graph it.

• 150

• 100

• 250

• 200

10. Emma has 60 minutes to complete her homework. If she spends 25 minutes on math, how much time does she have left? Write an inequality to represent the time left and evaluate it.

• 30 minutes

• 40 minutes

• 35 minutes

• 50 minutes