Real-Life Inequalities: Solve and Graph for Grade 6

1. Sarah has at least 5 apples. If she buys more apples, how many does she have now? Write an inequality to represent this situation.

• x < 5

• x = 5

• x > 5

• x >= 5

2. A box can hold no more than 20 pounds of items. If you already have 12 pounds in the box, how much more can you add? Write and solve the inequality.

• 8 pounds

• 10 pounds

• 15 pounds

• 5 pounds

3. Tom is at least 10 years old. If he is x years old, write an inequality to show his age and graph it on a number line.

• x < 10

• x = 10

• x > 10

• x >= 10

4. A school requires that students read more than 15 books in a year. If Maria has read 8 books, how many more does she need to read? Write an inequality and solve it.

• More than 7 books

• More than 10 books

• Exactly 7 books

• Less than 7 books

5. A concert hall can seat a maximum of 500 people. If 350 tickets have been sold, how many more can be sold? Write and solve the inequality.

• 250

• 200

• 100

• 150

6. Lisa needs to save more than $100 for a new bike. If she currently has $45, how much more does she need to save? Write an inequality and solve it.

• More than $75

• Exactly $55

• Less than $55

• More than $55

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

• x < 0.5

• x = 1.5

• x > 2.5

• x >= 0.5

8. A car can travel no more than 300 miles on a full tank. If it has already traveled 150 miles, how much further can it go? Write and solve the inequality.

• 100 miles

• 200 miles

• 150 miles

• 250 miles

9. A student must score more than 75% on a test to pass. If the test is out of 100 points, what score does the student need to achieve? Write and solve the inequality.

• 70

• 90

• 80

• 76

10. A pet store has at least 8 puppies available for adoption. If 3 are adopted, how many are left? Write an inequality to represent this situation and graph it on a number line.

• x <= 5

• x > 8

• x >= 5

• x < 3