Mastering One-Step Inequalities: Solve & Graph

1. Sarah has at least 20 apples. If she gives away x apples, write and solve the inequality to find how many apples she can give away. Graph the solution.

• Sarah can give away at most 20 apples.

• Sarah can give away 15 apples.

• Sarah can give away exactly 20 apples.

• Sarah can give away at least 30 apples.

2. A movie theater has a maximum capacity of 150 people. If there are y people already inside, write and solve the inequality to find how many more people can enter. Graph the solution.

• y - 150

• 150 - y

• 150 + y

• y + 50

3. Tom needs to save at least $50 for a video game. If he has z dollars saved, write and solve the inequality to determine how much more he needs to save. Graph the solution.

• x = 50 - z

• x < 50 + z

• x ≥ 50 - z

• x > 50 - z

4. A school requires students to read at least 5 books this year. If a student has read b books, write and solve the inequality to find out how many more books they need to read. Graph the solution.

• 5 - b

• b - 5

• 5 + b

• 5 * b

5. A recipe calls for no more than 3 cups of sugar. If a baker has c cups of sugar, write and solve the inequality to find out how much more sugar they can use. Graph the solution.

• c cups of sugar can be used more.

• 3 - c cups of sugar can be used more.

• 3 + c cups of sugar can be used more.

• c - 3 cups of sugar can be used more.

6. A runner wants to run at least 10 miles this week. If they have already run d miles, write and solve the inequality to find out how many more miles they need to run. Graph the solution.

• x >= 10 - d

• x < 10 - d

• x <= 10 - d

• x = 10 + d

7. A store is having a sale where items are discounted to no less than $15. If an item costs e dollars, write and solve the inequality to find out how much more it can be discounted. Graph the solution.

• d >= e - 15

• d < e - 15

• d <= e - 15

• d = e - 15

8. A student needs to score at least 75% on a test. If they have already scored f points, write and solve the inequality to determine how many more points they need to score. Graph the solution.

• x >= 0.75T - f

• x > 0.75T + f

• x = 0.75T - f

• x < 0.75T + f

9. A gardener wants to plant at least 30 flowers. If they have already planted g flowers, write and solve the inequality to find out how many more flowers they can plant. Graph the solution.

• x >= 30 - g

• x <= 30 - g

• x < 30 - g

• x = 30 + g

10. A book club wants to read at least 12 books this year. If they have read h books so far, write and solve the inequality to find out how many more books they need to read. Graph the solution.

• x >= 12 - h

• x = 12 - h

• x <= 12 - h

• x < 12 + h