Real-Life Inequalities: Solve & Apply in Scenarios

1. Sarah has 3 times as many apples as Tom. If Tom has x apples, write an inequality to show that Sarah has more than 10 apples.

• 3x > 10

• 3x = 10

• x > 3

• 3x < 10

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 represent how many more students need to sign up.

• x <= 20

• x >= 30

• x < 30

• x > 50

3. The sum of a number y and 15 is less than 40. Write an inequality and solve for y.

• y < 25

• y ≤ 25

• y > 25

• y + 15 < 40

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

• x < 10

• 2x ≤ 20

• 3x ≤ 20

• x + 5 ≤ 20

5. A recipe requires at least 2 cups of sugar. If you already have x cups, write an inequality to show how much more sugar you need.

• x + 2 < 0

• 2 - x > 0

• x - 2 < 0

• 2 + x < 2

6. A car can travel a maximum of 300 miles on a full tank. If it has already traveled y miles, write an inequality to show how many more miles it can travel.

• y = 300

• y ≤ 300

• y > 300

• y < 300

7. The temperature in a city must be above 32 degrees Fahrenheit to avoid freezing. Write an inequality to represent this situation.

• T >= 32

• T > 32

• T < 32

• T = 32

8. A box can hold a maximum of 15 pounds. If you have x pounds of items, write an inequality to show how much more you can add without exceeding the limit.

• y >= 15 - x

• y = 15 - x

• y <= 15 - x

• y < 15 + x

9. A student needs to score at least 75% on a test to pass. If the test has 40 questions, write an inequality to represent the minimum number of questions the student must answer correctly.

• x < 30

• x ≤ 25

• x = 35

• x ≥ 30

10. A gardener wants to plant at least 30 flowers. If he has already planted x flowers, write an inequality to show how many more he needs to plant.

• x = 30

• x > 30

• x ≤ 30

• x < 30