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Balanced Equations Worksheet

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Balanced Equations Worksheet

Balanced Equations Worksheet

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Date:

Balance scales illustration

⚖️ Part 1: Matching Game - Balanced Scales

Instructions: Match each number sentence with the correct balanced scale picture. Draw a line to connect them.

1. 3 + 2 = 5

2. 7 - 4 = 3

3. 6 + 3 = 9

4. 8 - 2 = 6

5. 4 + 5 = 9

A. Scale showing 8 blocks on left, 6 blocks on right

B. Scale showing 4 + 5 blocks on left, 9 blocks on right

C. Scale showing 3 + 2 blocks on left, 5 blocks on right

D. Scale showing 7 blocks on left, 3 blocks on right

E. Scale showing 6 + 3 blocks on left, 9 blocks on right

6. More challenging: Match these equations with their balanced representations:

12 ÷ 3 = 4

2 × 6 = 12

15 - 8 = 7

Scale with 15 on left, 7 on right

Scale with 12 groups of 1 on left, 4 groups of 3 on right

Scale with 2 groups of 6 on left, 12 on right

📝 Part 2: Create and Solve Simple Equations

Instructions: Read each word problem carefully. Write an equation and solve it.

1. Level 3B: Sarah has 5 stickers. Her brother gives her 3 more stickers. How many stickers does Sarah have now?

Write your equation: ________________

2. Level 3B: There were 12 birds in a tree. 4 birds flew away. How many birds are left?

Write your equation: ________________

3. Level 3P: Tom has some marbles. His friend gives him 6 more marbles. Now Tom has 14 marbles altogether. How many marbles did Tom start with?

Write your equation: ________________

4. Level 3A: Emma has some books. Her sister has twice as many books as Emma. Together they have 18 books. How many books does Emma have?

Write your equation: ________________

5. Level 3A: A packet of lollies costs $3. Jake buys some packets and pays $15. How many packets did he buy? Write this as a multiplication equation.

Write your equation: ________________

✅ Part 3: True or False Quiz

Instructions: Look at each equation. Circle True if both sides are equal, or False if they are not equal.

1. Level 3B: 4 + 3 = 7

True

False

2. Level 3B: 9 - 5 = 3

True

False

3. Level 3B: 6 + 2 = 8

True

False

4. Level 3P: 3 × 4 = 12

True

False

5. Level 3P: 15 ÷ 3 = 6

True

False

6. Level 3P: 7 + _____ = 12 (if the missing number is 5)

True

False

7. Level 3A: 4 × 3 + 2 = 14

True

False

8. Level 3A: 20 - 8 ÷ 2 = 6

True

False

9. Level 3A: If x + 7 = 15, then x = 8

True

False

10. Level 3A: 3 × (4 + 2) = 18

True

False

🎯 Part 4: Challenge Questions

Instructions: These questions are for students ready for extra challenge!

1. Fill in the missing numbers to make these equations balanced:

a) 8 + _____ = 15

b) _____ - 6 = 9

c) 4 × _____ = 28

d) 24 ÷ _____ = 6

2. Create your own balanced equation using addition and subtraction:

3. Create your own balanced equation using multiplication or division:

4. Explain in your own words what makes an equation "balanced":

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