Writing and Interpreting Inequalities in Real Life Scenarios

1. Sarah has at least 50 stickers. If she buys x more stickers, write an inequality to represent the total number of stickers she will have.

• S + x > 50 + x

• S + x = 50 + x

• S + x < 50 + x

• S + x >= 50 + x

2. A movie theater has a seating capacity of 200. If y tickets are sold, write an inequality to show how many more tickets can be sold without exceeding capacity.

• x ≤ 200 - y

• x < 200 + y

• x = 200 - y

• x ≥ 200 - y

3. Tom needs to score at least 75% on his math test. If he answers x questions correctly out of 40, write an inequality to represent the minimum number of questions he must answer correctly.

• x <= 35

• x >= 25

• x > 30

• x >= 30

4. A school fundraiser requires at least $300 to be successful. If they have collected y dollars so far, write an inequality to show how much more money they need to raise.

• y < 300

• y ≤ 300

• y = 300

• y > 300

5. A recipe calls for no more than 3 cups of sugar. If z cups of sugar are used, write an inequality to represent the maximum amount of sugar that can still be added.

• z <= 3

• z < 3

• z = 3

• z >= 3

6. Lisa is saving for a new bike that costs $150. If she has saved x dollars so far, write an inequality to show how much more she needs to save.

• x < 150

• x = 150

• x > 150

• x ≤ 150

7. A class trip costs $25 per student. If there are y students going, write an inequality to represent the total cost that must be less than or equal to $500.

• y <= 20

• 25y < 500

• 25y <= 500

• 500y <= 25

8. A gardener wants to plant at least 100 flowers. If he has already planted x flowers, write an inequality to show how many more he needs to plant.

• x ≤ 100

• x = 100

• x < 100

• x > 100

9. A book club has a goal of reading at least 12 books this year. If they have read y books so far, write an inequality to represent how many more books they need to read.

• y ≤ 12

• y < 12

• y = 12

• y > 12

10. A car can hold a maximum of 5 passengers. If x passengers are already in the car, write an inequality to show how many more passengers can still get in.

• x = 5

• x ≤ 5

• x < 5

• x > 5