Writing and Interpreting Inequalities in Real Life Scenarios

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.

• b < 3

• b <= 5

• b >= 4

• b <= 4

2. A school is planning a field trip and needs at least 30 students to sign up. If 5 students have already signed up, how many more need to sign up? Write an inequality and interpret the solution.

• 10

• 25

• 20

• 15

3. A concert hall can hold a maximum of 500 people. If 350 tickets have been sold, how many more tickets can be sold? Write an inequality to express this.

• 400

• 200

• 100

• 150

4. Tom wants to save at least $200 for a new bike. If he saves $15 each week, how many weeks will it take him to save enough? Write an inequality and interpret the solution.

• 20 weeks

• 10 weeks

• 14 weeks

• 12 weeks

5. A recipe requires at least 3 cups of flour. If you have 1.5 cups, how many more cups do you need? Write an inequality to represent this situation.

• You need at least 1.5 more cups of flour.

• You need 2 cups of flour.

• You need 3.5 more cups of flour.

• You need 0.5 more cups of flour.

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

• 25

• 100

• 15

• 50

7. Lisa needs to score at least 80% on her math test to pass. If the test has 20 questions, how many questions can she miss? Write an inequality and interpret the result.

• Lisa can miss at most 5 questions.

• Lisa can miss at most 4 questions.

• Lisa can miss at most 6 questions.

• Lisa can miss at most 2 questions.

8. A car rental company charges a minimum of $30 per day. If you want to rent a car for at least 5 days, what is the minimum amount you will spend? Write an inequality to represent this.

• $75

• $200

• $100

• $150

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 interpret the solution.

• 16

• 18

• 15

• 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 explain the solution.

• 2

• 4

• 6

• 3