Let’s solve each problem step by step. The goal is to make both sides of the equation equal — that’s what “balancing” means.
We’ll go one by one:
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1. 22 ÷ 2 = 11 ÷ ___
Left side: 22 2 =
11
So right side must also be 11 → 11 ÷ ? = 11 → ? =
1
✔ Answer:
1
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2. 48 ÷ 6 = 64 ÷ ___
Left: 48 ÷ 6 =
8
Right: 64 ÷ ? = 8 → ? = 64 ÷ 8 =
8
✔ Answer:
8
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3. 34 ÷ 2 = 51 ÷ ___
Left: 34 ÷ 2 =
17
Right: 51 ÷ ? = 17 → ? = 51 ÷ 17 =
3
✔ Answer:
3
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4. 16 ÷ 4 = ___ ÷ 2
Left: 16 ÷ 4 =
4
Right: ? ÷ 2 = 4 → ? = 4 × 2 =
8
✔ Answer:
8
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5. 35 ÷ 7 = 40 ÷ ___
Left: 35 ÷ 7 =
5
Right: 40 ÷ ? = 5 → ? = 40 ÷ 5 =
8
✔ Answer:
8
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6. 24 ÷ 4 = ___ ÷ 3
Left: 24 ÷ 4 =
6
Right: ? ÷ 3 = 6 → ? = 6 × 3 =
18
✔ Answer:
18
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7. 25 5 = ___ ÷ 11
Left: 25 ÷ 5 =
5
Right: ? ÷ 11 = 5 → ? = 5 × 11 =
55
✔ Answer:
55
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8. 21 ÷ 3 = ___ ÷ 6
Left: 21 ÷ 3 =
7
Right: ? ÷ 6 = 7 → ? = 7 × 6 =
42
✔ Answer:
42
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9. ___ ÷ 4 = 34 ÷ 2
Right: 34 ÷ 2 =
17
Left: ? ÷ 4 = 17 → ? = 17 × 4 =
68
✔ Answer:
68
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10. 24 ÷ ___ = 32 ÷ 8
Right: 32 ÷ 8 =
4
Left: 24 ÷ ? = 4 → ? = 24 ÷ 4 =
6
✔ Answer:
6
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11. ___ ÷ 3 = 72 ÷ 8
Right: 72 ÷ 8 =
9
Left: ? ÷ 3 = 9 → ? = 9 × 3 =
27
✔ Answer:
27
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12. 24 ÷ ___ = 18 ÷ 3
Right: 18 ÷ 3 =
6
Left: 24 ÷ ? = 6 → ? = 24 ÷ 6 =
4
✔ Answer:
4
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13. ___ ÷ 4 = 22 ÷ 2
Right: 22 ÷ 2 =
11
Left: ? ÷ 4 = 11 → ? = 11 × 4 =
44
✔ Answer:
44
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14. 90 ÷ 3 = ___ ÷ 9
Left: 90 ÷ 3 =
30
Right: ? ÷ 9 = 30 → ? = 30 × 9 =
270
✔ Answer:
270
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15. ___ ÷ 5 = 45 ÷ 9
Right: 45 ÷ 9 =
5
Left: ? ÷ 5 = 5 → ? = 5 × 5 =
25
✔ Answer:
25
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16. 18 ÷ 3 = ___ ÷ 7
Left: 18 ÷ 3 =
6
Right: ? ÷ 7 = 6 → ? = 6 × 7 =
42
✔ Answer:
42
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Final Answer:
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
Parent Tip: Review the logic above to help your child master the concept of 9th grade algebra practice worksheet.