Algebra worksheet for calculating variable values in equations.

Let me solve each equation step by step.

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

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

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

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

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

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

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

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

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

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

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

12. 10 = 5s + 0
Simplify: 10 = 5s
Divide both sides by 5: s = 10 ÷ 5 = 2

Let me verify all answers:
1. 3(4) = 12 ✓
2. 5(6) = 30 ✓
3. 8(9) = 72 ✓
4. 12(4) = 48 ✓
5. 5(10) = 50 ✓
6. 6(8) = 48 ✓
7. 4(4) + 4 = 16 + 4 = 20 ✓
8. 3(2) + 5 = 6 + 5 = 11 ✓
9. 6(3) - 4 = 18 - 4 = 14 ✓
10. 2(9) - 5 = 18 - 5 = 13 ✓
11. 6(3) + 1 = 18 + 1 = 19 ✓
12. 5(2) + 0 = 10 ✓

All answers check out!

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