Two-Step Equations Practice

Name:

Date:

📚 Part 1: Conceptual Understanding

Instructions: Choose the best answer for each question.

1. Which equation represents "5 more than 3 times a number equals 17"?

5 + 3x = 17

3 + 5x = 17

3x + 5 = 17

5x - 3 = 17

2. What is the first step to solve: 4x - 7 = 21?

Divide both sides by 4

Add 7 to both sides

Subtract 7 from both sides

Multiply both sides by 4

3. Which value of x makes the equation 2x + 6 = 14 true?

x = 4

x = 6

x = 8

x = 10

✏️ Part 2: Solve Two-Step Equations

Instructions: Solve each equation. Show all your work in the space provided.

4. Solve: 3x + 8 = 26

5. Solve: 5y - 12 = 23

6. Solve: 15 = 2n + 7

7. Solve: -4m + 9 = 1

🌍 Part 3: Real-World Applications

Instructions: Write an equation and solve. Show all work and write your answer in a complete sentence.

8. Cell Phone Plan: Maria pays a monthly fee of $25 plus $0.10 per text message. If her bill was $37 last month, how many text messages did she send?

9. Temperature Conversion: The formula to convert Celsius to Fahrenheit is F = 1.8C + 32. If the temperature is 86°F, what is the temperature in Celsius?

10. Fundraising: The drama club needs to raise $500 for costumes. They already have $180 and plan to sell tickets for $8 each. How many tickets do they need to sell to reach their goal?