Inequalities in Action: Solve Real-World Problems

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Write an inequality to represent this situation.

• 5

• 3

• 4

• 6

2. A concert hall can hold a maximum of 500 people. If 200 tickets have already been sold, how many more tickets can be sold? Write an inequality and interpret the solution.

• 100

• 400

• 250

• 300

3. Tom needs to score at least 75% on his math test to pass. If the test has 20 questions, how many questions can he miss? Write an inequality and explain the result.

• Tom can miss at most 3 questions.

• Tom can miss at most 10 questions.

• Tom can miss at most 7 questions.

• Tom can miss at most 5 questions.

4. A car rental company charges a flat fee of $30 plus $0.15 per mile driven. If you want to spend no more than $60, how many miles can you drive? Write the inequality and interpret the solution.

• 150 miles

• 200 miles

• 250 miles

• 100 miles

Tags

CCSS.7.EE.B.4B

5. Lisa is saving money for a new bike that costs $150. If she saves $20 each week, how many weeks will it take her to save enough? Write an inequality and explain the solution.

• 10 weeks

• 6 weeks

• 12 weeks

• 8 weeks

6. A school is planning a field trip and needs at least 30 students to sign up. If 18 students have signed up, how many more are needed? Write an inequality and interpret the solution.

• 20

• 15

• 10

• 12

7. A recipe requires at least 2 cups of flour. If you have 1.5 cups, how much more do you need? Write an inequality and explain the result.

• 0.5 cups

• 1 cup

• 0 cups

• 2.5 cups

8. A gym has a maximum capacity of 100 members. If there are currently 75 members, how many more can join? Write an inequality and interpret the solution.

• 30

• 25

• 15

• 50

9. A farmer has at least 200 apples to sell. If he sells them in bags of 12, how many bags can he sell at most? Write an inequality and explain the solution.

• 15

• 18

• 16

• 20

10. A student needs to read at least 5 books this semester. If he has read 2 books so far, how many more does he need to read? Write an inequality and interpret the solution.

• 2

• 4

• 3

• 6

Tags

CCSS.6.EE.B.8