Cross multiplication practice worksheet with ten equations to solve.

Sure! Let’s solve each of the 10 problems using cross multiplication.

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✔ What is Cross Multiplication?

When you have a proportion:
> a/b = c/d

You can cross multiply to get:
> a × d = b × c

Then solve for the variable (usually x).

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Let’s solve each one step-by-step:

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1)

Equation:
> (x - 1)/10 = 12/3

Step 1: Simplify right side: 12/3 = 4
→ (x - 1)/10 = 4

Step 2: Multiply both sides by 10:
→ x - 1 = 40

Step 3: Add 1 to both sides:
→ x = 41

✔ Answer: 41

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2)

Equation:
> 12/(x + 1) = 1/2

Cross multiply:
→ 12 × 2 = 1 × (x + 1)
→ 24 = x + 1

Subtract 1:
→ x = 23

✔ Answer: 23

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3)

Equation:
> 35/(5 + 2x) = 7/5

Cross multiply:
→ 35 × 5 = 7 × (5 + 2x)
→ 175 = 35 + 14x

Subtract 35:
→ 140 = 14x

Divide by 14:
→ x = 10

✔ Answer: 10

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4)

Equation:
> 80/10 = (4x + 8)/3

Simplify left side: 80/10 = 8
→ 8 = (4x + 8)/3

Multiply both sides by 3:
→ 24 = 4x + 8

Subtract 8:
→ 16 = 4x

Divide by 4:
→ x = 4

✔ Answer: 4

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5)

Equation:
> 12/42 = (x - 5)/7

Simplify 12/42 → divide numerator and denominator by 6 → 2/7
→ 2/7 = (x - 5)/7

Since denominators are same, numerators must be equal:
→ 2 = x - 5

Add 5:
→ x = 7

✔ Answer: 7

*(Alternatively, cross multiply: 12×7 = 42×(x-5) → 84 = 42x - 210 → 294 = 42x → x=7)*

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6)

Equation:
> 64/(6x - 20) = 8/2

Simplify right side: 8/2 = 4
→ 64/(6x - 20) = 4

Multiply both sides by (6x - 20):
→ 64 = 4(6x - 20)

Distribute 4:
→ 64 = 24x - 80

Add 80 to both sides:
→ 144 = 24x

Divide by 24:
→ x = 6

✔ Answer: 6

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7)

Equation:
> 9/(x - 10) = 81/18

Simplify 81/18 → divide by 9 → 9/2
→ 9/(x - 10) = 9/2

Numerators are same → denominators must be equal:
→ x - 10 = 2

Add 10:
→ x = 12

✔ Answer: 12

*(Cross multiply: 9×2 = 81×(x-10) → 18 = 81x - 810 → 828 = 81x → x=10.22...? Wait — mistake! Let’s recalculate.)*

Wait — let's double-check:

Original: 9/(x - 10) = 81/18

Cross multiply:
→ 9 × 18 = 81 × (x - 10)
→ 162 = 81x - 810

Add 810:
→ 972 = 81x

Divide:
→ x = 972 ÷ 81 = 12

✔ Yes, correct! x = 12

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8)

Equation:
> 6/24 = (x - 8)/48

Simplify 6/24 → 1/4
→ 1/4 = (x - 8)/48

Cross multiply:
→ 1 × 48 = 4 × (x - 8)
→ 48 = 4x - 32

Add 32:
→ 80 = 4x

Divide by 4:
→ x = 20

✔ Answer: 20

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9)

Equation:
> 4/2 = (7x + 45)/26

Simplify left: 4/2 = 2
→ 2 = (7x + 45)/26

Multiply both sides by 26:
→ 52 = 7x + 45

Subtract 45:
→ 7 = 7x

Divide by 7:
→ x = 1

✔ Answer: 1

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10)

Equation:
> 3/(2x + 4) = 12/16

Simplify 12/16 → divide by 4 → 3/4
→ 3/(2x + 4) = 3/4

Numerators are same → denominators must be equal:
→ 2x + 4 = 4

Subtract 4:
→ 2x = 0

Divide by 2:
→ x = 0

✔ Answer: 0

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## ✔ Final Answers:

1) 41
2) 23
3) 10
4) 4
5) 7
6) 6
7) 12
8) 20
9) 1
10) 0

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