Translating Real-Life Scenarios into Inequalities

1. Sarah has $50. She wants to buy some books that cost $10 each. Write an inequality to represent how many books she can buy. Identify the variable and constants.

• x <= 5

• 10x <= 50, where x is the number of books.

• 5x <= 50

• 10x < 50

2. A school is planning a field trip and needs at least 30 students to sign up. If 12 students have already signed up, write an inequality to show how many more students need to sign up. Identify the variable and constants.

• x < 12

• x > 30

• x >= 18

• x <= 18

3. Tom is saving money to buy a new video game that costs $60. If he currently has $20, write an inequality to represent how much more money he needs to save. Identify the variable and constants.

• x < 40

• x = 40

• x < 20

• x > 40

4. A recipe requires at least 3 cups of flour. If you already have 1.5 cups, write an inequality to show how many more cups you need to buy. Identify the variable and constants.

• x >= 1.5

• x < 1.5

• x = 3

• x <= 1.5

5. Lisa is training for a marathon and wants to run at least 15 miles a week. If she has already run 5 miles this week, write an inequality to represent how many more miles she needs to run. Identify the variable and constants.

• x = 10

• x > 15

• x <= 5

• x >= 10

6. A concert hall can hold a maximum of 200 people. If there are already 150 tickets sold, write an inequality to show how many more tickets can be sold. Identify the variable and constants.

• x <= 50

• x > 150

• x < 50

• x >= 50

7. A farmer has 120 apples and wants to pack them into bags of 10 apples each. Write an inequality to represent how many bags he can fill. Identify the variable and constants.

• 12b <= 120

• 5b <= 120

• 10b <= 120

• 10b >= 120

8. A gym requires at least 25 members to stay open. If there are currently 18 members, write an inequality to show how many more members are needed. Identify the variable and constants.

• x <= 7

• x = 7

• x > 7

• x >= 7

9. A car can travel a maximum of 300 miles on a full tank of gas. If it has already traveled 120 miles, write an inequality to represent how many more miles it can travel. Identify the variable and constants.

• x >= 300

• x > 120

• x <= 180

• x < 180

10. A student needs to score at least 70% on a test to pass. If the test has 50 questions, write an inequality to show how many questions the student needs to answer correctly. Identify the variable and constants.

• x >= 25

• x >= 35

• x > 35

• x <= 40