Solving Simple Equations

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Date:

📚 Part 1: WALT, Success Criteria & Multiple Choice

WALT: We are learning to solve simple algebraic equations by isolating the variable.

Success criteria: I can identify the variable and constant, use inverse operations to isolate the variable, solve one-step equations, and check my answer by substituting back.

1. In the equation 3x + 5 = 20, which symbol represents the variable?

2. Which inverse operation isolates x in x + 7 = 12?

Add 7 to both sides

Subtract 7 from both sides

Multiply both sides by 7

Divide both sides by 7

3. Solve 3x = 15. What is x?

4. Check all that apply: Which actions keep an equation balanced?

Do the same operation to both sides

Add a number to only one side

Multiply both sides by the same number

Subtract different numbers from each side

✏️ Part 2: Short Answers — Solve and Verify

Show one clear step to isolate the variable. Then substitute your answer back into the original equation to check.

5. Solve: x + 5 = 12

x = ________

Check: Substitute x = ______ into x + 5. Does it equal 12? ________

6. Solve: x - 8 = 3

x = ________

Check: Substitute x = ______ into x - 8. Does it equal 3? ________

7. Solve: 4m = 20

m = ________

Check: Substitute m = ______ into 4m. Does it equal 20? ________

8. Solve: 9 = 3k

k = ________

Check: Substitute k = ______ into 3k. Does it equal 9? ________

🔎 Extension & Teacher Supports

9. Extension (challenge): Solve the two-step equation 2x + 3 = 11. Show each step and check your answer.

x = ________

Check: Substitute x = ______ into 2x + 3. Does it equal 11? ________

Differentiation & supports: Use a balance-scale drawing, work with a partner, or use counters for visual learners. Provide step-by-step prompts for students needing extra support. For dyslexia-friendly reading: use clear spacing, highlight inverse operations, and give extra time as needed.

Extension for advanced learners: Try a harder two-step equation at home (e.g. 3x - 4 = 14) and explain each inverse operation you used.