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Solving Linear Equations

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Solving Linear Equations worksheet preview

Solving Linear Equations

Student solving equations with balance scales

🎯 WALT: We Are Learning To solve one-variable linear equations using inverse operations

📚 Part 1: Choose the Correct Solution

Remember: Use inverse operations to isolate the variable, then check your answer by substitution!

1. Solve: x + 7 = 15

x = 22

x = 8

x = 105

2. Solve: 4x = 28

x = 7

x = 24

x = 112

3. Solve: x - 9 = 12

x = 3

x = 21

x = 108

4. Which operations are inverse pairs? (Tick all that apply)

Addition and subtraction

Multiplication and division

Addition and multiplication

Subtraction and division

✏️ Part 2: Show Your Working

Success Criteria: Write each step clearly and check your answer by substitution.

5. Solve: x + 12 = 25

Check your answer: _____ + 12 = 25 ✓

6. Solve: 6x = 42

Check your answer: 6 × _____ = 42 ✓

7. Real-world problem: Sarah buys x packets of lollies at $4 each. She spends $32. How many packets did she buy?

Write the equation: _________________

Sarah bought _____ packets of lollies.

8. Challenge: Solve 2(x + 5) = 22

Hint: Start by dividing both sides by 2

🧠 Part 3: Explain Your Thinking

9. Explain in your own words: Why do we use inverse operations to solve equations?
10. Your friend solved x + 8 = 15 and got x = 23. Explain what they did wrong and show the correct solution.

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