Real-Life One-Step Inequalities: Graphing and Applications

1. Sarah has at least 5 apples. If she buys more apples, how many can she have? Graph this inequality on a number line.

• x < 5

• x >= 5

• x > 5

• x = 5

2. A movie theater has a maximum capacity of 150 people. If there are already 120 people inside, how many more can enter? Write and graph the inequality.

• 30

• 10

• 50

• 75

3. Tom needs to save more than $30 for a video game. If he currently has $15, how much more does he need to save? Show this on a number line.

• Less than $15

• Exactly $30

• More than $25

• More than $15

4. A school requires students to have at least 10 volunteer hours to graduate. If a student has completed 6 hours, how many more hours do they need? Graph the inequality.

• 4

• 12

• 8

• 2

5. A pet store has a limit of 20 pets for adoption. If there are currently 15 pets available, how many more can be added? Write and graph the inequality.

• 5

• 8

• 3

• 10

6. Lisa wants to read more than 3 books this month. If she has read 1 book so far, how many more does she need to read? Show this on a number line.

• 4

• 3

• 2

• 1

7. A gym has a rule that members must weigh less than 200 pounds to join. If a member weighs 185 pounds, can they join? Write the inequality and graph it.

• No, the member must weigh at least 180 pounds to join.

• Yes, the member can join.

• Yes, but only if they lose 10 pounds first.

• No, the member cannot join because they exceed the weight limit.

8. A concert venue can hold a maximum of 500 people. If 450 tickets have been sold, how many more can be sold? Graph the inequality on a number line.

• 100

• 25

• 75

• 50

9. A runner wants to run more than 5 miles this week. If they have already run 2 miles, how many more miles do they need to run? Show this on a number line.

• 4

• 6

• 2

• 3

10. A library has a limit of 30 books that can be checked out at once. If a patron has checked out 25 books, how many more can they check out? Write and graph the inequality.

• 10

• 5

• 20

• 15