Cross multiplication practice worksheet with ten equations to solve.

Sure! Let’s solve each of these 10 problems using cross multiplication, which is a method used to solve proportions (equations where two fractions are equal).

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🔁 Cross Multiplication Rule:

If
> a/b = c/d

Then
> a × d = b × c

We’ll apply this to each problem.

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## ✔ Problem 1:
x/4 = 7/28

Cross multiply:
→ x × 28 = 4 × 7
→ 28x = 28
→ x = 28 ÷ 28
→ x = 1

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## ✔ Problem 2:
10/15 = x/3

Cross multiply:
→ 10 × 3 = 15 × x
→ 30 = 15x
→ x = 30 ÷ 15
→ x = 2

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## ✔ Problem 3:
15/x = 5/3

Cross multiply:
→ 15 × 3 = x × 5
→ 45 = 5x
→ x = 45 ÷ 5
→ x = 9

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## ✔ Problem 4:
2x/4 = 3/6

Cross multiply:
→ (2x) × 6 = 4 × 3
→ 12x = 12
→ x = 12 ÷ 12
→ x = 1

*(Note: You can simplify first — 2x/4 = x/2, and 3/6 = 1/2 → x/2 = 1/2 → x=1)*

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## ✔ Problem 5:
6/16 = 9/(3x)

Cross multiply:
→ 6 × 3x = 16 × 9
→ 18x = 144
→ x = 144 ÷ 18
→ x = 8

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## ✔ Problem 6:
32/(4x) = 8/20

Cross multiply:
→ 32 × 20 = 4x × 8
→ 640 = 32x
→ x = 640 ÷ 32
→ x = 20

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## ✔ Problem 7:
2x/6 = 7/3

Cross multiply:
→ (2x) × 3 = 6 × 7
→ 6x = 42
→ x = 42 ÷ 6
→ x = 7

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## ✔ Problem 8:
x/26 = 3/13

Cross multiply:
→ x × 13 = 26 × 3
→ 13x = 78
→ x = 78 ÷ 13
→ x = 6

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## ✔ Problem 9:
60/15 = x/3

Cross multiply:
→ 60 × 3 = 15 × x
→ 180 = 15x
→ x = 180 ÷ 15
→ x = 12

*(Note: 60/15 = 4, so 4 = x/3 → x=12)*

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## ✔ Problem 10:
12/24 = 36/(8x)

Cross multiply:
→ 12 × 8x = 24 × 36
→ 96x = 864
→ x = 864 ÷ 96
→ x = 9

*(Simplify first: 12/24 = 1/2, so 1/2 = 36/(8x) → 8x = 72 → x=9)*

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## 📝 Final Answers:

1) x = 1
2) x = 2
3) x = 9
4) x = 1
5) x = 8
6) x = 20
7) x = 7
8) x = 6
9) x = 12
10) x = 9

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✔ All solved using cross multiplication. Let me know if you’d like to see the step-by-step work written out for any specific one!