Algebra practice worksheet with equations to solve for variables, ideal for classroom or home learning.

Let’s solve each equation one by one. We’re finding the value of the letter (variable) that makes each equation true.

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1. 3a = 12
Divide both sides by 3:
a = 12 ÷ 3 → a = 4

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2. 30 = 5b
Divide both sides by 5:
b = 30 ÷ 5 → b = 6

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3. 8c = 72
Divide both sides by 8:
c = 72 ÷ 8 → c = 9

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4. 48 = 12d
Divide both sides by 12:
d = 48 ÷ 12 → d = 4

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5. 50 = 5g
Divide both sides by 5:
g = 50 ÷ 5 → g = 10

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6. 6z = 48
Divide both sides by 6:
z = 48 ÷ 6 → z = 8

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7. 20 = 4h + h
Combine like terms: 4h + h = 5h
So, 20 = 5h
Divide both sides by 5:
h = 20 ÷ 5 → h = 4

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8. 3b + 5 = 11
Subtract 5 from both sides:
3b = 11 - 5 → 3b = 6
Divide by 3:
b = 6 ÷ 3 → b = 2

*(Note: This is a different “b” than in problem #2 — variables can be reused with different values in separate problems.)*

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9. 14 = 6j - 4
Add 4 to both sides:
14 + 4 = 6j → 18 = 6j
Divide by 6:
j = 18 ÷ 6 → j = 3

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10. 2k - 5 = 13
Add 5 to both sides:
2k = 13 + 5 → 2k = 18
Divide by 2:
k = 18 ÷ 2 → k = 9

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11. 6r + 1 = 19
Subtract 1 from both sides:
6r = 19 - 1 → 6r = 18
Divide by 6:
r = 18 ÷ 6 → r = 3

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12. 10 = 5s + 0
Adding 0 doesn’t change anything, so:
10 = 5s
Divide by 5:
s = 10 ÷ 5 → s = 2

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Final Answer:
a = 4
b = 6
c = 9
d = 4
g = 10
z = 8
h = 4
b = 2
j = 3
k = 9
r = 3
s = 2