Real-Life Inequalities: Interpreting and Applying Concepts

1. Sarah has at least 50 stickers. If she gives away 12 stickers, how many stickers does she have left? Write an inequality to represent this situation.

• S - 12 = 38

• S - 12 >= 38

• S - 12 <= 38

• S - 12 > 50

2. A movie theater has a maximum capacity of 200 people. If there are currently 150 people in the theater, how many more can enter? Write an inequality to show this.

• 25

• 100

• 75

• 50

3. Tom needs to save at least $100 for a video game. If he already has $45, how much more does he need to save? Write an inequality to represent this.

• Tom needs to save at least $55 more.

• Tom needs to save at least $100 more.

• Tom needs to save at least $30 more.

• Tom needs to save at least $75 more.

4. A school requires students to have at least 5 volunteer hours to participate in a trip. If Maria has completed 3 hours, how many more hours does she need? Write an inequality to express this.

• 2

• 6

• 4

• 1

5. A recipe calls for no more than 2 cups of sugar. If you have already added 1.5 cups, how much more can you add? Write an inequality to represent this situation.

• 2 cups

• 0 cups

• 1 cup

• 0.5 cups

6. A bike can hold a maximum weight of 300 pounds. If a rider weighs 180 pounds, what is the maximum weight of any additional items they can carry? Write an inequality to show this.

• x ≤ 200

• x ≤ 150

• x ≤ 100

• x ≤ 120

7. Jenna wants to read at least 10 books this summer. If she has read 4 books so far, how many more does she need to read? Write an inequality to represent this.

• 8

• 7

• 6

• 5

8. A concert venue can hold a maximum of 500 people. If there are already 450 tickets sold, how many more tickets can be sold? Write an inequality to express this situation.

• 25

• 50

• 100

• 75

9. A plant needs at least 6 hours of sunlight each day. If it has received 3 hours so far, how many more hours does it need? Write an inequality to represent this.

• 3 hours

• 2 hours

• 5 hours

• 4 hours

10. A car can travel no more than 400 miles on a full tank. If it has already traveled 250 miles, how many more miles can it travel? Write an inequality to show this.

• 100 miles

• 150 miles

• 50 miles

• 200 miles