Real-Life Inequalities: Solving Everyday Scenarios

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 store sells notebooks for $2 each. If you want to spend no more than $20, write an inequality to represent the maximum number of notebooks you can buy.

• 2x ≤ 20

• 3x ≤ 20

• 2x + 5 ≤ 20

• x < 10

3. The sum of a number y and 5 is at least 12. Write an inequality to express this situation and solve for y.

• y < 7

• y >= 7

• y <= 5

• y > 12

4. A recipe requires at least 4 cups of flour. If you already have x cups, write an inequality to show how many more cups you need to buy.

• 4 - x < 0

• x + 4 < 0

• x < 4

• 4 - x > 0

5. A car can hold a maximum of 5 passengers. If there are already p passengers in the car, write an inequality to represent how many more passengers can get in.

• p + 1 < 5

• 5 - p < 0

• 5 - p > 0

• p < 5

6. The total cost of a party is $150. If you have already spent x dollars, write an inequality to show how much more you can spend without exceeding the budget.

• x < 150

• x = 150

• x > 150

• x ≤ 150

7. A school needs at least 30 volunteers for an event. If they currently have v volunteers, write an inequality to express how many more they need.

• v < 30

• v = 30

• v > 30

• v ≤ 30

8. A box can hold a maximum of 50 pounds. If the weight of the items in the box is w pounds, write an inequality to show how much more weight can be added.

• w ≤ 50

• w > 50

• w < 50

• w = 50

9. A student scored at least 75% on a test. If the total number of questions is q, write an inequality to express the minimum number of correct answers needed.

• correct_answers < 0.75 * q

• correct_answers = 0.75 * q

• correct_answers > 0.5 * q

• correct_answers >= 0.75 * q

10. A gardener wants to plant at least 20 flowers. If they have already planted f flowers, write an inequality to show how many more flowers they need to plant.

• f < 20

• f ≤ 20

• f = 20

• f > 20