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Elementary Algebra Worksheet focusing on balancing division equations.

Elementary Algebra Worksheet titled "Balancing Equations Division" with 16 division problems for students to solve, including fill-in-the-blank equations.

Elementary Algebra Worksheet titled "Balancing Equations Division" with 16 division problems for students to solve, including fill-in-the-blank equations.

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Show Answer Key & Explanations Step-by-step solution for: 9th Grade Math Worksheets | Elementary worksheets, Algebra ...
This worksheet is titled “Balancing Equations – Division”, which means each equation must be true — the value on the left side of the equals sign must equal the value on the right side.

We solve each problem by first calculating the known side, then using that result to find the missing number.

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Let’s go through each problem one by one:

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1. `22 ÷ 2 = 11 ÷ ___`



- Left side: `22 ÷ 2 = 11`
- So: `11 = 11 ÷ ___` → What number divided into 11 gives 11? Only 1.
Answer: 1

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2. `48 ÷ 6 = 64 ÷ ___`



- Left: `48 ÷ 6 = 8`
- So: `8 = 64 ÷ ___` → `___ = 64 ÷ 8 = 8`
Answer: 8

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3. `34 ÷ 2 = 51 ÷ ___`



- Left: `34 ÷ 2 = 17`
- So: `17 = 51 ÷ ___` → `___ = 51 ÷ 17 = 3`
Answer: 3

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4. `16 ÷ 4 = ___ ÷ 2`



- Left: `16 ÷ 4 = 4`
- So: `4 = ___ ÷ 2` → `___ = 4 × 2 = 8`
Answer: 8

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5. `35 ÷ 7 = 40 ÷ ___`



- Left: `35 ÷ 7 = 5`
- So: `5 = 40 ÷ ___` → `___ = 40 ÷ 5 = 8`
Answer: 8

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6. `24 ÷ 4 = ___ ÷ 3`



- Left: `24 ÷ 4 = 6`
- So: `6 = ___ ÷ 3` → `___ = 6 × 3 = 18`
Answer: 18

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7. `25 ÷ 5 = ___ ÷ 11`



- Left: `25 ÷ 5 = 5`
- So: `5 = ___ ÷ 11` → `___ = 5 × 11 = 55`
Answer: 55

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8. `21 ÷ 3 = ___ ÷ 6`



- Left: `21 ÷ 3 = 7`
- So: `7 = ___ ÷ 6` → `___ = 7 × 6 = 42`
Answer: 42

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9. `___ ÷ 4 = 34 ÷ 2`



- Right: `34 ÷ 2 = 17`
- So: `___ ÷ 4 = 17` → `___ = 17 × 4 = 68`
Answer: 68

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10. `24 ÷ ___ = 32 ÷ 8`



- Right: `32 ÷ 8 = 4`
- So: `24 ÷ ___ = 4` → `___ = 24 ÷ 4 = 6`
Answer: 6

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11. `___ ÷ 3 = 72 ÷ 8`



- Right: `72 ÷ 8 = 9`
- So: `___ ÷ 3 = 9` → `___ = 9 × 3 = 27`
Answer: 27

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12. `24 ÷ ___ = 18 ÷ 3`



- Right: `18 ÷ 3 = 6`
- So: `24 ÷ ___ = 6` → `___ = 24 ÷ 6 = 4`
Answer: 4

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13. `___ ÷ 4 = 22 ÷ 2`



- Right: `22 ÷ 2 = 11`
- So: `___ ÷ 4 = 11` → `___ = 11 × 4 = 44`
Answer: 44

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14. `90 ÷ 3 = ___ ÷ 9`



- Left: `90 ÷ 3 = 30`
- So: `30 = ___ ÷ 9` → `___ = 30 × 9 = 270`
Answer: 270

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15. `___ ÷ 5 = 45 ÷ 9`



- Right: `45 ÷ 9 = 5`
- So: `___ ÷ 5 = 5` → `___ = 5 × 5 = 25`
Answer: 25

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16. `18 ÷ 3 = ___ ÷ 7`



- Left: `18 ÷ 3 = 6`
- So: `6 = ___ ÷ 7` → `___ = 6 × 7 = 42`
Answer: 42

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## Final Answers:

1. 1
2. 8
3. 3
4. 8
5. 8
6. 18
7. 55
8. 42
9. 68
10. 6
11. 27
12. 4
13. 44
14. 270
15. 25
16. 42

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💡 Key Concept: To balance a division equation, make sure both sides are equal. Calculate the known side, then use multiplication or division to find the missing number.

Let me know if you’d like a printable version or more practice!
Parent Tip: Review the logic above to help your child master the concept of 9th grade subtraction worksheet.
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