Real-Life Inequalities: Solve & Combine for Grade 7

1. Sarah has x apples. She wants to have at least 15 apples. Write an inequality to represent this situation and solve for x.

• x < 15

• x > 15

• x = 15

• x >= 15

2. A school is planning a field trip and needs at least 50 students to sign up. If 20 students have already signed up, write an inequality to find how many more students need to sign up.

• x <= 20

• x < 30

• x >= 30

• x > 40

3. Tom has 3 times as many marbles as Jerry. If Jerry has y marbles, write an inequality to show that Tom has more than 12 marbles. Solve for y.

• y > 4

• y < 4

• y >= 5

• y = 4

4. A concert hall can hold a maximum of 200 people. If there are currently 75 tickets sold, write an inequality to find how many more tickets can be sold.

• x ≥ 200

• x < 125

• x = 150

• x ≤ 125

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

• x ≤ 150

• x = 150

• x > 150

• x < 150

6. A recipe requires at least 2 cups of flour. If you already have y cups of flour, write an inequality to find out how many more cups you need to buy.

• y ≤ 2

• y = 2

• y < 2

• y > 2

7. A store has a sale where you can buy at least 3 items to get a discount. If you have already bought x items, write an inequality to find out how many more you need to buy.

• y > 3 + x

• y <= 3 - x

• y < 3 - x

• y >= 3 - x

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

• x + 30 < 30

• x < 30

• 30 - x > 0

• 30 - x < 0

9. A box can hold a maximum of 50 pounds. If the box currently weighs y pounds, write an inequality to determine how much more weight can be added.

• x < 50 + y

• x ≤ 50 - y

• x ≥ 50 - y

• x = 50 - y

10. A student needs to score at least 70% on a test to pass. If the student has already scored x points out of 100, write an inequality to find out how many more points are needed to pass.

• y ≤ 70 - x

• y < 70 - x

• y = 70 + x

• y ≥ 70 - x