Exploring Real-Life Inequalities: Word Problems & Graphs

1. Sarah has at least 5 apples. If she buys more, how many apples does she have? Write an inequality to represent this situation and graph it on a number line.

• x > 5

• x = 5

• x < 5

• x >= 5

2. A movie theater can hold a maximum of 200 people. If there are already 150 people inside, how many more can enter? Write an inequality and graph it.

• 50

• 25

• 75

• 100

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? Write an inequality and graph it.

• 31

• 25

• 30

• 35

4. A store sells notebooks for at least $2 each. If you want to buy 3 notebooks, what is the minimum amount of money you need? Write an inequality and graph it.

• $6

• $10

• $8

• $4

5. Lisa is saving money and wants to have at least $100 by the end of the month. If she currently has $40, how much more does she need to save? Write an inequality and graph it.

• Lisa needs to save at least $70 more.

• Lisa needs to save at least $50 more.

• Lisa needs to save at least $80 more.

• Lisa needs to save at least $60 more.

6. A recipe requires at least 2 cups of flour. If you want to make a double batch, how many cups do you need? Write an inequality and graph it.

• x >= 4

• x <= 4

• x >= 2

• x > 4

7. A class trip can have no more than 30 students. If 25 students have signed up, how many more can join? Write an inequality and graph it.

• 10

• 15

• 20

• 5

8. A bike can travel at a speed of at least 15 miles per hour. If you want to reach a destination 60 miles away, how long will it take at minimum? Write an inequality and graph it.

• t >= 6 hours

• t = 5 hours

• t >= 4 hours

• t < 4 hours

9. A gardener needs to plant at least 10 flowers. If he has already planted 4, how many more does he need to plant? Write an inequality and graph it.

• 6

• 5

• 7

• 8

10. A book club requires at least 5 members to start. If there are currently 3 members, how many more do they need? Write an inequality and graph it.

• 4

• 1

• 3

• 2