Mastering Inequalities: Write and Interpret 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 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.

• 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 minimum number of additional students needed.

• 30 - x < 0

• 30 - x > 0

• x - 30 < 0

• x + 30 < 30

5. A recipe requires no more than 2 cups of sugar. If you already have y cups of sugar, write an inequality to show how much more sugar you can add.

• y <= 2

• y >= 2

• y < 2

• y = 2

6. Lisa wants to run at least 5 miles each week. If she has already run x miles, write an inequality to express how many more miles she needs to run this week.

• additional miles = 5 + x

• additional miles >= 5 - x

• additional miles < 5 - x

• additional miles <= 5 - x

7. A store is having a sale and wants to sell at least 100 items. If they have sold y items so far, write an inequality to represent how many more items they need to sell.

• y > 100

• y < 100

• y = 100

• y ≤ 100

8. A gardener has planted at least 15 flowers. If he plants x more flowers, write an inequality to show the total number of flowers he will have planted.

• 15 - x >= 15

• x + 15 < 15

• 15 + x < 15

• 15 + x >= 15

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

• y > 5

• y = 5

• y < 5

• y ≤ 5

10. A student needs to score at least 70% on a test to pass. If she has scored x points out of 100, write an inequality to show what she needs to score on the next test to pass.

• y >= 140 - x

• y = 70 - x

• y < 140 - x

• y > 140 + x