Math worksheet featuring 16 problems where students must find the missing number to balance equations involving multiplication and addition.

Let's solve each problem step by step from the Elementary Algebra Worksheet: Balancing Equations (Multiplication).

We'll go through each equation, simplify both sides where needed, and find the missing number that makes the equation true.

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1. 22 × 2 = 11 × ___

- Left side: $ 22 × 2 = 44 $
- So: $ 44 = 11 × ? $
- Divide both sides by 11: $ ? = 44 ÷ 11 = 4 $

✔ Answer: 4

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2. 14 × 8 = 2 × ___

- Left side: $ 14 × 8 = 112 $
- So: $ 112 = 2 × ? $
- $ ? = 112 ÷ 2 = 56 $

✔ Answer: 56

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3. 31 × 3 = 64 + ___

- Left side: $ 31 × 3 = 93 $
- So: $ 93 = 64 + ? $
- $ ? = 93 - 64 = 29 $

✔ Answer: 29

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4. 52 × 2 = ___ + 83

- Left side: $ 52 × 2 = 104 $
- So: $ 104 = ? + 83 $
- $ ? = 104 - 83 = 21 $

✔ Answer: 21

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5. 41 + 19 = 30 × ___

- Left side: $ 41 + 19 = 60 $
- So: $ 60 = 30 × ? $
- $ ? = 60 ÷ 30 = 2 $

✔ Answer: 2

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6. 15 × 2 = ___ × 3

- Left side: $ 15 × 2 = 30 $
- So: $ 30 = ? × 3 $
- $ ? = 30 ÷ 3 = 10 $

✔ Answer: 10

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7. 23 × 2 = ___ + 12

- Left side: $ 23 × 2 = 46 $
- So: $ 46 = ? + 12 $
- $ ? = 46 - 12 = 34 $

✔ Answer: 34

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8. 42 + 30 = ___ × 8

- Left side: $ 42 + 30 = 72 $
- So: $ 72 = ? × 8 $
- $ ? = 72 ÷ 8 = 9 $

✔ Answer: 9

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9. ___ × 12 = 21 + 3

- Right side: $ 21 + 3 = 24 $
- So: $ ? × 12 = 24 $
- $ ? = 24 ÷ 12 = 2 $

✔ Answer: 2

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10. 21 × ___ = 30 + 33

- Right side: $ 30 + 33 = 63 $
- So: $ 21 × ? = 63 $
- $ ? = 63 ÷ 21 = 3 $

✔ Answer: 3

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11. ___ + 34 = 31 × 4

- Right side: $ 31 × 4 = 124 $
- So: $ ? + 34 = 124 $
- $ ? = 124 - 34 = 90 $

✔ Answer: 90

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12. 54 + ___ = 23 × 5

- Right side: $ 23 × 5 = 115 $
- So: $ 54 + ? = 115 $
- $ ? = 115 - 54 = 61 $

✔ Answer: 61

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13. ___ × 5 = 15 + 55

- Right side: $ 15 + 55 = 70 $
- So: $ ? × 5 = 70 $
- $ ? = 70 ÷ 5 = 14 $

✔ Answer: 14

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14. 42 + 14 = ___ × 4

- Left side: $ 42 + 14 = 56 $
- So: $ 56 = ? × 4 $
- $ ? = 56 ÷ 4 = 14 $

✔ Answer: 14

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15. ___ + 33 = 52 × 2

- Right side: $ 52 × 2 = 104 $
- So: $ ? + 33 = 104 $
- $ ? = 104 - 33 = 71 $

✔ Answer: 71

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16. 41 + 52 = ___ × 3

- Left side: $ 41 + 52 = 93 $
- So: $ 93 = ? × 3 $
- $ ? = 93 ÷ 3 = 31 $

✔ Answer: 31

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✔ Final Answers:

1. 4
2. 56
3. 29
4. 21
5. 2
6. 10
7. 34
8. 9
9. 2
10. 3
11. 90
12. 61
13. 14
14. 14
15. 71
16. 31

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