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Multi-Step Linear Equations

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Multi-Step Linear Equations worksheet preview

Multi-Step Linear Equations 8th grade

Student solving equations on whiteboard

🎯 I Can Statement

I can solve multi-step linear equations by using inverse operations in the correct order and checking my work.

📚 Part 1: Order of Steps

1. When solving 3x + 7 = 19, what should you do FIRST?

Divide both sides by 3

Subtract 7 from both sides

Add 7 to both sides

Multiply both sides by 3

2. In the equation 5x - 8 = 2x + 4, what type of terms should you move first?

Constants (numbers)

Variable terms

It doesn't matter

3. Check all the steps you need to solve 4x + 6 = 22:

Subtract 6 from both sides

Divide both sides by 4

Add 6 to both sides

Check your answer

✏️ Part 2: Solve Step-by-Step

4. Solve: 2x + 5 = 13
5. Solve: 6x - 9 = 15
6. Solve: 3x + 4 = x + 12
7. Real-world problem: You pay a $5 entrance fee plus $3 per ride at a carnival. If you spent $20 total, how many rides did you go on?

Equation: _____ x + _____ = _____

Answer: You went on _____ rides.

🔍 Part 3: Check and Reflect

8. Check if x = 3 is the correct solution for 2x + 7 = 13:
9. Find and fix the mistake in this solution:

Problem: 4x + 8 = 20

Student work:

4x + 8 = 20

÷4 ÷4

x + 2 = 5

x = 3

What was the mistake? ________________________________

Show the correct solution:

10. Reflection: Complete this sentence:

When I solve multi-step equations, the first step I take is _________________________ because _________________________.

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