Real-Life Inequalities: Solve and Combine for Grade 6

1. Sarah has 3 more than twice the number of apples that Tom has. If Tom has x apples, write an inequality to represent how many apples Sarah has.

• S < 2x + 3

• S ≤ 2x + 3

• S > 2x + 3

• S = 2x + 3

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 out how many more students need to sign up.

• x ≤ 20

• x ≥ 30

• x > 50

• x < 30

3. A box can hold a maximum of 30 toys. If there are already 12 toys in the box, write an inequality to show how many more toys can be added.

• x ≤ 18

• x = 18

• x > 30

• x < 12

4. Mark has 5 more than three times the number of marbles that Lisa has. If Lisa has y marbles, write an inequality to express how many marbles Mark has.

• M = 3y + 10

• M = 3y + 5

• M = 5y + 3

• M = 3y - 5

5. A concert hall can seat a maximum of 200 people. If 150 tickets have been sold, write an inequality to determine how many more tickets can be sold.

• x = 200

• x ≥ 150

• x ≤ 50

• x < 50

6. Emily is saving money to buy a new bike that costs $150. If she currently has $50, write an inequality to show how much more money she needs to save.

• x < 100

• x < 50

• x > 100

• x = 100

7. A recipe requires at least 2 cups of sugar. If you already have 1.5 cups, write an inequality to find out how much more sugar you need to buy.

• x >= 0.5

• x > 1.5

• x = 1

• x < 0.5

8. A car can travel a maximum of 400 miles on a full tank of gas. If it has already traveled 250 miles, write an inequality to determine how many more miles it can travel before needing to refuel.

• x ≤ 200

• x ≤ 100

• x ≤ 150

• x ≤ 250

9. A farmer has 10 more than twice the number of cows than sheep. If the number of sheep is s, write an inequality to express how many cows the farmer has.

• c <= 2s + 15

• c = 2s + 5

• c >= 2s + 10

• c < 2s + 10

10. A video game requires at least 8 GB of free space to install. If you currently have 5 GB free, write an inequality to find out how much more space you need.

• x >= 3 GB

• x > 10 GB

• x = 5 GB

• x < 3 GB