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Solving Linear Equations

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Solving Linear Equations worksheet preview

Solving Linear Equations

Balance scale showing equation solving

⚖️ Part 1: Solving One-Step Equations

Remember: Whatever you do to one side of the equation, you must do to the other side to keep it balanced!

1. Solve: x + 7 = 15
2. Solve: y - 4 = 11
3. Solve: 5m = 30
4. Solve: n ÷ 3 = 8

🔧 Part 2: Solving Two-Step Equations

Strategy: Undo addition/subtraction first, then undo multiplication/division.

5. Solve: 2x + 5 = 17
6. Solve: 4y - 3 = 21
7. Solve: 15 = 3a + 6

🌟 Part 3: Real-World Problems

8. Emma bought 4 identical books and paid a $3 delivery fee. Her total cost was $27. How much did each book cost?

Write an equation: ________________

Each book costs: $______

9. A gym membership costs $25 per month plus a one-time joining fee. If Marcus paid $145 for 4 months, what was the joining fee?

Write an equation: ________________

The joining fee was: $______

10. Check your answer to Question 8 by substituting back into the original equation:

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