Exploring Inequalities: Real-Life Scenarios for Grade 6

1. Sarah has 12 apples. She wants to give some away but still keep more than 5 apples. Write an inequality to represent how many apples she can give away.

• x > 7

• x = 6

• x ≤ 5

• x < 7

2. A movie theater has 50 seats. If 30 seats are filled, how many more seats can be filled without exceeding the total? Write an inequality to show this.

• 15

• 10

• 20

• 25

3. Tom is collecting stamps. He currently has 25 stamps and wants to have at least 40. Write an inequality to find out how many more stamps he needs.

• x <= 20

• x = 15

• x >= 15

• x < 15

4. A school has a limit of 200 students in a club. If there are currently 150 students, how many more can join? Write an inequality to represent this situation.

• 25

• 100

• 50

• 75

5. Lisa is saving money for a new bike that costs $150. If she has $80 now, how much more does she need to save? Write an inequality to show how much more she needs.

• x >= 70

• x <= 70

• x > 80

• x >= 60

6. A box can hold a maximum of 30 toys. If there are already 18 toys in the box, how many more can be added? Write an inequality to represent this.

• 15

• 10

• 12

• 20

7. Mark has a budget of $100 for a video game. If he spends $45, how much can he still spend without going over his budget? Write an inequality to show this.

• x >= 55

• x < 55

• x <= 55

• x <= 45

8. A recipe requires at least 2 cups of sugar. If you have 1.5 cups, how much more do you need? Write an inequality to represent this situation.

• 0.5 cups less sugar needed; inequality: x + 1.5 <= 2

• 2 cups more sugar needed; inequality: x + 1.5 >= 4

• 0.5 cups more sugar needed; inequality: x + 1.5 >= 2

• 1 cup more sugar needed; inequality: x + 1.5 >= 3

9. A pet store has a limit of 40 pets. If there are currently 25 pets, how many more can they take in? Write an inequality to show this.

• 15

• 10

• 5

• 20

10. Jenny wants to read at least 5 books this month. If she has read 2 books so far, how many more does she need to read? Write an inequality to represent this.

• 4

• 5

• 3

• 2