Solving Real-Life Inequalities: Combining Terms & Relationships

1. Sarah has x apples and wants to have at least 15 apples. Write an inequality to represent this situation and solve for x.

• x = 15

• x < 15

• x > 15

• x >= 15

2. A store sells pencils for 50 cents each. If you want to spend no more than $5, write an inequality to represent the number of pencils you can buy and solve for the variable.

• x < 10

• x ≤ 5

• x ≤ 15

• x ≤ 10

3. Tom is saving money for a video game that costs $60. If he currently has y dollars, write an inequality to show how much more he needs to save to afford the game.

• y > 60

• y < 60

• y ≤ 60

• y = 60

4. A recipe requires at least 3 cups of flour. If you already have f cups, write an inequality to represent how many more cups you need to buy.

• f < 3

• f + 3 < 0

• 3 - f > 0

• 3 - f = 0

5. A car can hold a maximum of 5 passengers. If p represents the number of passengers currently in the car, write an inequality to show how many more passengers can get in.

• p > 5

• p < 5

• p = 5

• p ≤ 5

6. Lisa is reading a book that has 200 pages. If she has read r pages, write an inequality to express how many more pages she needs to read to finish the book.

• r < 200

• 200 - r > 0

• r + 50 < 200

• 200 - r < 0

7. A concert hall has a seating capacity of 300. If s represents the number of seats sold, write an inequality to show how many more tickets can be sold before reaching capacity.

• s < 300

• s = 300

• s ≤ 300

• s > 300

8. A school is planning a field trip and needs at least 20 students to sign up. If n represents the number of students who have signed up, write an inequality to show how many more students are needed.

• x < 20 - n

• x >= 20 - n

• x <= 20 - n

• x = 20 + n

9. A gardener has x square feet of garden space and wants to plant at least 50 flowers. Write an inequality to represent how much space he needs for each flower if he plants them evenly.

• x >= 50 * space_per_flower

• x <= 50 / space_per_flower

• x < 50 * space_per_flower

• x = 50 + space_per_flower

10. A bike rental shop charges $10 for the first hour and $5 for each additional hour. If you want to spend no more than $30, write an inequality to represent the number of hours you can rent a bike.

• h < 6

• h ≤ 4

• h ≤ 5

• h ≤ 6