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Equality and Balance Equations

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Equality and Balance Equations worksheet preview

Equality and Balance Equations

Balance scale with equal weights

⚖️ Part 1: Understanding Balance

1. What does the equals sign (=) mean? Circle the best answer.

Get the answer

The same as

Add the numbers

2. Look at these number sentences. Circle TRUE or FALSE for each one.

a) 5 + 3 = 8 TRUE / FALSE

b) 4 + 2 = 3 + 3 TRUE / FALSE

c) 7 - 2 = 6 TRUE / FALSE

d) 9 = 5 + 4 TRUE / FALSE

3. Fill in the missing number to make each equation balanced.

a) 6 + 2 = 5 + ____

b) 8 - 3 = 7 - ____

c) 4 + ____ = 3 + 5

d) 10 - 2 = ____ + 4

🔢 Part 2: Keeping Equations Balanced

4. If I add 2 to the left side of 5 + 1 = 6, what must I do to the right side to keep it balanced?
5. Complete these balanced equations. The first one is done for you.

Example: 3 + 4 = 7, so (3 + 4) + 2 = 7 + 2

a) 6 + 2 = 8, so (6 + 2) + 3 = 8 + ____

b) 9 - 4 = 5, so (9 - 4) - 1 = 5 - ____

c) 7 + 3 = 10, so (7 + 3) + ____ = 10 + 5

6. Draw or write how you would use counters to show that 4 + 3 = 5 + 2 is balanced.

🎯 Part 3: Challenge Problems

7. Find the missing number in this balanced equation:

15 + 7 = 18 + ____

8. Create your own balanced equation using two different addition problems that equal the same answer.

____ + ____ = ____ + ____

9. Explain in your own words: Why do we need to do the same thing to both sides of an equation?

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