Solving Real-Life Inequalities and Graphing Them

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

• 4

• 6

• 3

• 5

2. A concert hall can hold a maximum of 300 people. If 120 tickets have already been sold, how many more tickets can be sold? Write an inequality and interpret the solution.

• 180

• 250

• 200

• 150

3. A school is planning a field trip and needs at least $200 for transportation. If each student contributes $15, how many students need to contribute? Write an inequality and graph it.

• 10

• 12

• 14

• 16

4. Tom wants to save at least $100 for a new video game. If he saves $20 each week, how many weeks will it take him? Write an inequality and interpret the solution in context.

• Tom needs to save for at least 10 weeks.

• Tom needs to save for at least 7 weeks.

• Tom needs to save for at least 3 weeks.

• Tom needs to save for at least 5 weeks.

5. A farmer has a minimum of 50 apples to sell. If he sells them in bags of 8 apples, how many bags can he sell? Write an inequality and graph it on a number line.

• 9

• 8

• 7

• 6

6. A gym requires at least 10 members to start a new class. If 4 members have signed up, how many more are needed? Write an inequality and interpret the solution.

• 8

• 6

• 7

• 5

7. Lisa wants to buy a new phone that costs $300. If she saves $50 each month, how many months will it take her to save enough? Write an inequality and graph it on a number line.

• 6 months

• 8 months

• 5 months

• 7 months

8. A library has a goal of at least 500 new books this year. If they have received 200 books so far, how many more do they need? Write an inequality and interpret the solution in context.

• The library needs at least 300 more books.

• The library needs at least 400 more books.

• The library needs at least 250 more books.

• The library has already met its goal.

9. A pet store has a minimum of 30 pets to sell. If they sell 5 pets each week, how many weeks will it take to sell all the pets? Write an inequality and graph it on a number line.

• x < 6

• x = 5

• x >= 6

• x <= 7

10. A charity event needs at least $1,000 to be successful. If they have raised $400 so far, how much more do they need to raise? Write an inequality and interpret the solution in context.

• They need to raise at least $1,000 more.

• They need to raise at least $600 more.

• They need to raise at least $200 more.

• They need to raise at least $800 more.