Real-Life Inequalities: Graphing and Interpretation Quiz

1. Sarah has at least 5 apples. If she buys x more apples, write an inequality to represent the total number of apples she has. Graph this inequality on a number line.

• x < 0

• x > 5

• x >= 0

• x = 5

2. A book costs $15. If you have y dollars, write an inequality to show how much money you need to buy the book. Graph this on a number line.

• y < 15

• y = 15

• y > 15

• y >= 15

3. Tom is at least 10 years old. If he has a birthday coming up, write an inequality to represent his age after his birthday. How would you graph this?

• x + 1 = 10

• x + 1 < 10

• x + 1 > 12

• x + 1 >= 11

4. A box can hold no more than 20 pounds. If you have x pounds of items, write an inequality to represent the weight limit. Graph this on a number line.

• x < 20

• x = 20

• x <= 20

• x >= 20

5. Lisa needs to score at least 75 points to pass a test. If she scores y points, write an inequality to show her passing condition. How would you interpret this in context?

• y < 75

• y = 75

• y > 75

• y >= 75

6. A concert ticket costs $50. If you have z dollars, write an inequality to show how much more money you need to buy the ticket. Graph this on a number line.

• z > 50

• z ≤ 50

• z < 50

• z = 50

7. A plant needs at least 3 hours of sunlight each day. If it gets x hours, write an inequality to represent the sunlight requirement. How would you graph this?

• x >= 3

• x <= 3

• x = 3

• x < 3

8. A car can travel no more than 300 miles on a full tank. If it has y miles left, write an inequality to represent the distance it can still travel. Graph this on a number line.

• y >= 300

• y <= 300

• y < 0

• y = 300

9. A recipe requires at least 2 cups of sugar. If you have x cups, write an inequality to show how much more sugar you need. How would you interpret this in context?

• x > 2

• 2 - x > 0 or x < 2

• 2 + x < 0

• x = 2

10. A student must complete at least 5 assignments to pass the class. If they have completed y assignments, write an inequality to represent their progress. Graph this on a number line.

• y <= 5

• y = 5

• y >= 5

• y < 5