To solve these balancing equations, we need to find the missing number that makes both sides of the equation equal. We’ll do this by first calculating what’s on one side, then figuring out what number multiplied by the given number gives us that result.
Let’s go step by step for each problem:
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1. 5 x 2 = 2 x ___
Left side: 5 × 2 = 10
So right side must also be 10 → 2 × ? = 10 → ? = 10 ÷ 2 =
5
✔ Answer: 5
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2. 12 x 5 = 15 x ___
Left side: 12 × 5 = 60
Right side: 15 × ? = 60 → ? = 60 ÷ 15 =
4
✔ Answer: 4
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3. 22 x 2 = 11 x ___
Left side: 22 × 2 = 44
Right side: 11 × ? = 44 → ? = 44 ÷ 11 =
4
✔ Answer: 4
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4. 8 x 4 = ___ x 2
Left side: 8 × 4 = 32
Right side: ? × 2 = 32 → ? = 32 ÷ 2 =
16
✔ Answer: 16
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5. 14 x 6 = 12 x ___
Left side: 14 × 6 = 84
Right side: 12 × ? = 84 → ? = 84 ÷ 12 =
7
✔ Answer: 7
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6. 14 x 3 = ___ x 6
Left side: 14 × 3 = 42
Right side: ? × 6 = 42 → ? = 42 ÷ 6 =
7
✔ Answer: 7
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7. 15 x 4 = ___ x 12
Left side: 15 × 4 = 60
Right side: ? × 12 = 60 → ? = 60 ÷ 12 =
5
✔ Answer: 5
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8. 16 x 2 = ___ x 4
Left side: 16 × 2 = 32
Right side: ? × 4 = 32 → ? = 32 ÷ 4 =
8
✔ Answer: 8
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9. ___ x 6 = 15 x 4
Right side: 15 × 4 = 60
Left side: ? × 6 = 60 → ? = 60 ÷ 6 =
10
✔ Answer: 10
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10. 4 x ___ = 40 x 2
Right side: 40 × 2 = 80
Left side: 4 × ? = 80 → ? = 80 ÷ 4 =
20
✔ Answer: 20
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11. ___ x 12 = 24 x 6
Right side: 24 × 6 = 144
Left side: ? × 12 = 144 → ? = 144 ÷ 12 =
12
✔ Answer: 12
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12. 42 x ___ = 14 x 12
Right side: 14 × 12 = 168
Left side: 42 × ? = 168 → ? = 168 ÷ 42 =
4
✔ Answer: 4
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13. ___ x 24 = 52 x 6
Right side: 52 × 6 = 312
Left side: ? × 24 = 312 → ? = 312 ÷ 24 =
13
✔ Answer: 13
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14. 14 x 9 = ___ x 18
Left side: 14 × 9 = 126
Right side: ? × 18 = 126 → ? = 126 ÷ 18 =
7
✔ Answer: 7
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15. ___ x 16 = 32 x 7
Right side: 32 × 7 = 224
Left side: ? × 16 = 224 → ? = 224 ÷ 16 =
14
✔ Answer: 14
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16. 22 x 5 = ___ x 10
Left side: 22 × 5 = 110
Right side: ? × 10 = 110 → ? = 110 ÷ 10 =
11
✔ Answer: 11
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Final Answer:
1. 5
2. 4
3. 4
4. 16
5. 7
6. 7
7. 5
8. 8
9. 10
10. 20
11. 12
12. 4
13. 13
14. 7
15. 14
16. 11
Parent Tip: Review the logic above to help your child master the concept of free printable algebra worksheet.
