Writing and Solving Inequalities in Everyday Life

1. Sarah has at least 15 apples. Write an inequality to represent the number of apples she has.

• x >= 15

• x > 15

• x = 15

• x < 15

2. A movie theater can hold a maximum of 200 people. Write an inequality to show how many tickets can be sold.

• x < 200

• x >= 200

• x <= 200

• x = 200

3. Tom needs to score more than 75% on his test to pass. If the test has 40 questions, how many questions must he answer correctly?

• 25

• 30

• 31

• 35

4. A store sells notebooks for $3 each. If you have $20, write an inequality to show how many notebooks you can buy.

• 3n >= 20

• n <= 6

• 3n <= 20

• n < 20

5. Lisa is at least 5 years older than her brother. If her brother is x years old, write an inequality to represent Lisa's age.

• L < x + 5

• L >= x + 5

• L = x + 5

• L > x + 5

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

• 2 - y > 0

• 2 + y > 2

• y - 2 < 0

• y + 2 < 2

7. The school has a limit of 300 students for the science fair. If 250 students have signed up, write an inequality to show how many more can sign up.

• x <= 50

• x < 50

• x >= 100

• x = 300

8. A car can travel a maximum of 400 miles on a full tank. If it has already traveled 150 miles, write an inequality to represent how many more miles it can travel.

• x ≤ 250

• x = 300

• x ≥ 400

• x < 150

9. A box can hold no more than 50 pounds. If a box currently weighs x pounds, write an inequality to show how much more weight can be added.

• x < 50

• x > 50

• x = 50

• x ≤ 50

10. Emma wants to read at least 10 books this summer. If she has already read b books, write an inequality to show how many more she needs to read.

• b > 10

• b = 10

• b ≤ 10

• b < 10