Write and Interpret Inequalities in Everyday 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 school requires at least 200 volunteer hours from students. If a student has completed y hours, write an inequality to show how many more hours they need to volunteer.

• y - 200 < 0

• 200 - y > 0

• y + 200 < 200

• 200 - y = 0

3. Tom wants to save at least $100 for a video game. If he currently has z dollars, write an inequality to express how much more he needs to save.

• x < 100 + z

• x = 100 - z

• x > 100 - z

• x >= 100 - z

4. A recipe requires more than 3 cups of flour. If you have f cups of flour, write an inequality to show how much more flour you need to meet the requirement.

• needed > 3 - f

• needed = 3 - f

• needed >= 3 + f

• needed < 3 - f

5. A concert hall can hold a maximum of 500 people. If there are p people already in the hall, write an inequality to represent how many more can enter.

• p + x = 500

• p + x < 500

• p - x ≤ 500

• p + x ≤ 500

6. Lisa needs to read at least 5 books this month. If she has read b books so far, write an inequality to show how many more she needs to read.

• b < 5

• b > 5

• b = 5

• b ≤ 5

7. A car can travel more than 300 miles on a full tank. If it has already traveled m miles, write an inequality to express how many more miles it can travel before needing to refuel.

• m < 250

• m = 300

• m > 300

• m < 300

8. A store has a sale where items are discounted to at least $20. If an item costs c dollars, write an inequality to show the maximum price it can be before the discount.

• c >= 60

• c <= 40

• c = 50

• c < 20

9. A gardener wants to plant at least 30 flowers. If he has already planted p flowers, write an inequality to represent how many more he needs to plant.

• p < 30

• p + 30 < 0

• 30 - p < 0

• 30 - p > 0

10. A student needs to score more than 75% on a test to pass. If they scored s out of 100, write an inequality to show what score they need on the next test to pass overall.

• x > 150 - s

• x < 150 - s

• x >= 100 - s

• x = 75 - s