Exploring Inequalities: Solve and Graph Real-Life Scenarios

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Graph the inequality on a number line.

• 3

• 5

• 6

• 4

2. A school requires that students have no more than 3 tardies per semester. If a student has already been tardy 2 times, how many more times can they be tardy? Interpret the solution in context.

• 1

• 3

• 2

• 4

3. A concert hall can hold a maximum of 200 people. If 150 tickets have been sold, how many more tickets can be sold? Write and graph the inequality.

• 50

• 25

• 100

• 75

4. Tom needs to save at least $100 for a new bike. If he currently has $30, how much more does he need to save? Show this as an inequality and graph it.

• Tom needs to save at least $100 more.

• Tom needs to save at least $90 more.

• Tom needs to save at least $50 more.

• Tom needs to save at least $70 more.

5. A recipe requires at least 2 cups of flour. If you have 1.5 cups, how much more do you need? Write the inequality and interpret the solution.

• 2.5 cups

• 1 cup

• 3 cups

• 0.5 cups

6. A gym has a maximum capacity of 50 members. If there are currently 30 members, how many more can join? Write the inequality and graph it on a number line.

• 10

• 25

• 15

• 20

7. Lisa wants to run at least 5 miles a week. If she has run 2 miles so far, how many more miles does she need to run? Write the inequality and interpret the solution.

• 1

• 4

• 6

• 3

8. A farmer has at least 100 apples to sell. If he sells 30 apples, how many does he have left? Write the inequality and graph it.

• At least 100 apples left.

• At least 50 apples left.

• At least 70 apples left.

• At least 80 apples left.

9. A movie theater has a minimum age requirement of 13 years. If a child is currently 10 years old, how many more years until they can watch the movie? Write and interpret the inequality.

• 1

• 5

• 7

• 3

10. A student needs to score at least 70% on a test to pass. If they scored 55% on the first part, what do they need to score on the second part? Write the inequality and graph it.

• 85%

• 65%

• 90%

• 75%