Translating Real-Life Scenarios into Inequalities

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 can hold a maximum of 200 people. If there are already y people in the theater, write an inequality to show how many more can enter.

• y > 200

• y ≤ 200

• y ≥ 200

• y < 200

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

• z < 100

• z = 100

• z > 100

• z ≤ 100

4. A school is planning a field trip and needs at least 30 students to sign up. If x students have signed up so far, write an inequality to represent the situation.

• x = 30

• x >= 30

• x < 30

• x <= 30

5. A recipe requires at least 2 cups of flour. If you have y cups of flour, write an inequality to show if you have enough flour for the recipe.

• y >= 2

• y < 2

• y <= 2

• y = 2

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

• b < 5

• 5 - b = 0

• 5 - b > 0

• b + 5 < 0

7. A concert venue can accommodate no more than 500 people. If there are currently p people in attendance, write an inequality to show how many more can attend.

• p > 500

• p ≤ 500

• p < 500

• p = 500

8. A runner wants to run at least 10 miles this week. If she has already run m miles, write an inequality to represent how many more miles she needs to run.

• m > 10

• m ≤ 10

• m = 10

• m < 10

9. A store has a sale where items are at least 20% off. If the original price of an item is n dollars, write an inequality to express the sale price.

• p ≥ 0.8n

• p < 0.8n

• p ≤ 0.8n

• p = 0.2n

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

• f < 100

• f = 100

• f ≤ 100

• f > 100