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Finding Unknown Values

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Finding Unknown Values

Balance scales showing equation balance

⚖️ Part 1: Balance the Equations

WALT: Find unknown values in simple equations using the balance strategy.

Remember: Both sides of an equation must be equal, just like a balanced scale!

1. Find the unknown value to balance each equation:

a) □ + 4 = 9 Answer: □ = _____

b) 12 - □ = 7 Answer: □ = _____

c) □ + 6 = 15 Answer: □ = _____

d) 18 - □ = 11 Answer: □ = _____

2. Circle the correct answer for each equation:

□ + 8 = 13

4

5

6

20 - □ = 14

5

6

7

🧮 Part 2: Show Your Working

3. Solve these equations and show how you worked them out:

a) □ + 7 = 16

Answer: □ = _____

b) 25 - □ = 18

Answer: □ = _____

4. Check your answers by substituting them back into the equations above. Show your checking work:
5. Explain in your own words what the balance strategy means:

🌟 Part 3: Challenge Problems

6. Create your own balanced equation with an unknown value:

My equation: ________________________

The unknown value is: _____

7. Real-life balance problem:

Sarah has some marbles in a bag. She adds 9 more marbles and now has 17 marbles altogether. How many marbles did she start with?

Write this as an equation: ________________________

Sarah started with _____ marbles.

8. Which of these equations are balanced? Tick all correct answers:

5 + 3 = 8

12 - 4 = 9

6 + 7 = 13

15 - 8 = 6

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