Exploring Inequalities: Real-Life Scenarios for 6th Graders

1. Sarah has at least 15 apples. If she gives away 3 apples, how many apples does she have left? Write an inequality to represent this situation.

• x - 3 >= 12

• x - 3 <= 12

• x - 3 = 10

• x - 3 > 15

2. A movie theater can hold a maximum of 200 people. If there are already 150 people inside, how many more can enter? Write an inequality to show this.

• 25

• 75

• 100

• 50

3. Tom needs to score more than 75% on his math test to pass. If the test has 40 questions, how many questions must he answer correctly?

• 30

• 25

• 35

• 31

4. A store sells notebooks for $2 each. If you want to spend no more than $20, how many notebooks can you buy? Write an inequality to represent this.

• 15

• 5

• 8

• 10

5. Lisa is at least 5 feet tall. If she grows 2 inches, how tall will she be? Write an inequality to show her height after growing.

• h >= 60

• h > 62

• h >= 62

• h < 62

6. A recipe requires at least 3 cups of flour. If you have 1 cup, how many more cups do you need? Write an inequality to represent this situation.

• You need at least 2 more cups of flour.

• You need 1 more cup of flour.

• You need exactly 3 more cups of flour.

• You need at least 4 more cups of flour.

7. A car can travel no more than 300 miles on a full tank. If it has already traveled 150 miles, how many more miles can it go? Write an inequality to show this.

• 250 miles

• 150 miles

• 200 miles

• 100 miles

8. A school has a limit of 250 students in a class. If there are currently 230 students, how many more can enroll? Write an inequality to represent this.

• 20

• 5

• 30

• 15

9. Mark wants to save at least $100 for a video game. If he currently has $40, how much more does he need to save? Write an inequality to show this.

• Mark needs to save at least $60 more.

• Mark needs to save at least $80 more.

• Mark needs to save at least $70 more.

• Mark needs to save at least $50 more.

10. A plant needs at least 6 hours of sunlight each day. If it currently gets 4 hours, how many more hours does it need? Write an inequality to represent this.

• 3

• 1

• 2

• 5