Writing and Interpreting Inequalities in Everyday Scenarios

1. Sarah has at least $50 to spend on books. Write an inequality to represent this situation.

• x = 50

• x >= 50

• x > 50

• x < 50

2. A concert hall can hold a maximum of 300 people. Write an inequality to express the number of tickets sold, x, that must be less than or equal to 300.

• x < 300

• x >= 300

• x = 300

• x <= 300

3. Tom needs to score more than 75% on his math test to pass. If the test is out of 100 points, write an inequality to represent the minimum score he needs.

• x > 75

• x ≥ 75

• x = 75

• x < 75

4. A recipe requires at least 2 cups of flour. If you have x cups of flour, write an inequality to show how much more flour you need to meet the requirement.

• 2 - x > 0

• x - 2 < 0

• x + 2 < 0

• 2 + x = 2

5. The school cafeteria has a budget of $200 for lunch supplies. If each lunch costs $5, write an inequality to represent the maximum number of lunches, x, that can be purchased.

• 5x < 200

• 3x ≤ 200

• x < 40

• 5x ≤ 200

6. A car can travel at most 400 miles on a full tank of gas. If the car has already traveled y miles, write an inequality to show how many more miles it can travel.

• y >= 400

• y < 400

• y <= 400

• y > 400

7. Lisa wants to save at least $100 for a new bike. If she currently has x dollars saved, write an inequality to represent how much more she needs to save.

• 100 - x > 0

• x + 100 < 0

• x < 100

• 100 - x < 0

8. A store is having a sale where items are discounted to no less than $20. If the original price of an item is p, write an inequality to represent this sale.

• p >= 20

• p > 20

• p <= 20

• p < 20

9. A gardener wants to plant at least 30 flowers in his garden. If he has already planted f flowers, write an inequality to show how many more he needs to plant.

• x <= 30 - f

• x >= 30 - f

• x = 30 + f

• x < 30 - f

10. A student must complete more than 10 hours of community service to graduate. If he has completed h hours, write an inequality to represent how many more hours he needs.

• h >= 10

• h > 10

• h < 10

• h = 10