Inequalities Unlocked: Graphing & Translating Word Problems

1. Sarah has at least 15 marbles. Write an inequality to represent the number of marbles she has. Graph this inequality on a number line.

• m < 15

• m > 15

• m <= 15

• m >= 15

2. A box can hold no more than 20 toys. If you have x toys, write an inequality to represent this situation and graph it on a number line.

• x <= 20

• x = 20

• x < 20

• x >= 20

3. Tom needs to save more than $50 for a video game. Write an inequality for the amount he needs to save and graph it on a number line.

• x > 50

• x = 50

• x < 50

• x ≥ 50

4. A recipe requires at least 3 cups of flour. If you have y cups of flour, write an inequality and graph it on a number line.

• y < 3

• y >= 3

• y <= 3

• y = 3

5. The school library has fewer than 100 books. Write an inequality to represent the number of books in the library and graph it on a number line.

• x ≤ 100

• x = 100

• x < 100

• x > 100

6. Emily can read at least 5 books each month. Write an inequality to represent the number of books she reads and graph it on a number line.

• x = 5

• x < 5

• x > 5

• x >= 5

7. A concert hall can seat no more than 300 people. Write an inequality for the number of people that can attend and graph it on a number line.

• x = 300

• x >= 300

• x < 300

• x <= 300

8. A plant needs at least 2 hours of sunlight each day. Write an inequality for the hours of sunlight it receives and graph it on a number line.

• x <= 2

• x > 2

• x >= 2

• x < 2

9. A car can travel no more than 400 miles on a full tank. Write an inequality to represent the distance it can travel and graph it on a number line.

• d = 400

• d >= 400

• d < 400

• d <= 400

10. A student must score at least 70% on a test to pass. Write an inequality for the score needed and graph it on a number line.

• score < 70

• score <= 70

• score = 70

• score >= 70