MathematicsFreePrintable

Multi-Step Equation Practice

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Multi-Step Equation Practice worksheet preview

Multi-Step Equation Practice

Student solving equations

🎯 I Can Statement

I can solve multi-step equations with variables on one side by following steps and checking my work.

Success Criteria:

✓ I can identify the variable on one side of the equation
✓ I can undo addition/subtraction before multiplication/division
✓ I can write neat and organized solution steps

📝 Part 1: Solve Each Equation

Show all steps clearly. Remember: Undo addition/subtraction FIRST, then multiplication/division.

1. 3x + 5 = 17
2. 2x - 4 = 12
3. 4x + 7 = 23
4. x/2 + 6 = 10
5. 5x - 8 = 22

🔍 Part 2: Check Your Understanding

6. What operation should you undo FIRST when solving 6x + 9 = 33?

Multiply by 6

Divide by 6

Add 9

Subtract 9

7. Sarah solved 3x + 4 = 19 and got x = 5. Check her answer by substituting back into the original equation:

3(____) + 4 = ____

Is Sarah's answer correct? ________

8. Real-World Problem: You pay a $5 entry 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.

🌟 Extension Challenge

For advanced learners:

9. Solve: -2x + 8 = 14
10. Create your own word problem that can be solved using a multi-step equation:

Write the equation: ________________

Solution: x = ____

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