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Multi-Step Linear Equations

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Multi-Step Linear Equations worksheet preview

Multi-Step Linear Equations 8th grade

Math equations and calculator illustration

📚 Part 1: Identifying First Steps

I can identify the correct first step when solving multi-step equations.

1. Look at the equation: 3x + 7 = 19. What should be the first step?

Divide both sides by 3

Subtract 7 from both sides

Add 7 to both sides

Multiply both sides by 3

2. For the equation 2x - 5 = 11, what operation should you undo first?

Multiplication

Subtraction

Addition

Division

3. Which equation has variables on both sides?

4x + 3 = 15

2x + 5 = x + 8

x - 7 = 12

6x = 24

✏️ Part 2: Solving Step-by-Step

I can solve multi-step equations by showing all my work clearly.

4. Solve: 2x + 6 = 18
5. Solve: 4x - 3 = 13
6. Solve: 3x + 4 = x + 12
7. Check your answer for problem #6 by substituting back into the original equation:

🔍 Part 3: Error Analysis & Real-World Application

8. Maria solved 5x + 2 = 17 like this:

5x + 2 = 17
÷5        ÷5
x + 0.4 = 3.4

What mistake did Maria make? ________________________________

What should be the correct first step? _______________________

9. Real-world problem: You pay a $5 entrance fee plus $3 per game at an arcade. You spent $20 total. Write and solve an equation to find how many games you played.

Equation: ___________________

You played _______ games.

10. Reflection: Complete this sentence about solving multi-step equations:

The first step I take when solving multi-step equations is __________________ because __________________________________________________________.

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