One-Step Inequalities Practice

Name:

Date:

📚 Part 1: Writing Inequalities

I can write one-step inequalities from word problems.

1. Maria has $15. She wants to buy a shirt that costs less than $12. Write an inequality for the cost of the shirt.

Let c = cost of the shirt. Inequality: ________________

2. The temperature today is at least 68°F. Write an inequality for the temperature.

Let t = temperature. Inequality: ________________

3. Jake scored more than 85 points on his test. Write an inequality for his score.

Let s = Jake's score. Inequality: ________________

4. A movie theater holds no more than 200 people. Write an inequality for the number of people.

Let p = number of people. Inequality: ________________

I can correctly use inequality symbols (>, <, ≥, ≤).

5. Choose the correct inequality symbol for each phrase:

a) "at least 10" means:

x > 10

x ≥ 10

x < 10

b) "fewer than 25" means:

x > 25

x ≤ 25

x < 25

c) "no more than 50" means:

x ≤ 50

x ≥ 50

x > 50

I can model inequalities on number lines and explain the difference between equations and inequalities.

6. Graph x > 3 on the number line below. Use an open or closed circle and shade the correct direction.

7. Graph x ≤ -1 on the number line below.

8. Explain the difference between an equation and an inequality. How are their solutions different?

9. Extension: Solve and graph: 2x < 8