Let’s solve each equation one by one to find the value of each letter.
---
1. 3a = 12 → a = ?
Divide both sides by 3:
a = 12 ÷ 3 =
4
---
2. 30 = 5b → b = ?
Divide both sides by 5:
b = 30 ÷ 5 =
6
---
3. 8c = 72 → c = ?
Divide both sides by 8:
c = 72 ÷ 8 =
9
---
4. 48 = 12d → d = ?
Divide both sides by 12:
d = 48 ÷ 12 =
4
---
5. 50 = 5g → g = ?
Divide both sides by 5:
g = 50 ÷ 5 =
10
---
6. 6z = 48 → z = ?
Divide both sides by 6:
z = 48 ÷ 6 =
8
---
7. 20 = 4h + h → h = ?
Combine like terms: 4h + h = 5h
So, 20 = 5h
Divide both sides by 5:
h = 20 ÷ 5 =
4
---
8. 3b + 5 = 11 → b = ?
Subtract 5 from both sides:
3b = 11 - 5 = 6
Divide by 3:
b = 6 ÷ 3 =
2
---
9. 14 = 6j - 4 → j = ?
Add 4 to both sides:
14 + 4 = 6j → 18 = 6j
Divide by 6:
j = 18 ÷ 6 =
3
---
10. 2k - 5 = 13 → k = ?
Add 5 to both sides:
2k = 13 + 5 = 18
Divide by 2:
k = 18 ÷ 2 =
9
---
11. 6r + 1 = 19 → r = ?
Subtract 1 from both sides:
6r = 19 - 1 = 18
Divide by 6:
r = 18 ÷ 6 =
3
---
12. 10 = 5s + 0 → s = ?
Adding 0 doesn’t change anything, so:
10 = 5s
Divide by 5:
s = 10 ÷ 5 =
2
---
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
Parent Tip: Review the logic above to help your child master the concept of math worksheet for grade 6.
