Let’s solve each equation step by step to find the value of each letter.
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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: 4h + h = 5h
So, 20 = 5h
Divide both sides by 5:
h = 20 ÷ 5 =
4
8.
3b + 5 = 11
Subtract 5 from both sides:
3b = 11 - 5 = 6
Divide both sides by 3:
b = 6 ÷ 3 =
2
*(Note: This is a different “b” than in problem #2 — it’s okay to reuse letters in different equations!)*
9.
14 = 6j - 4
Add 4 to both sides:
14 + 4 = 6j → 18 = 6j
Divide both sides by 6:
j = 18 ÷ 6 =
3
10.
2k - 5 = 13
Add 5 to both sides:
2k = 13 + 5 = 18
Divide both sides by 2:
k = 18 ÷ 2 =
9
11.
6r + 1 = 19
Subtract 1 from both sides:
6r = 19 - 1 = 18
Divide both sides by 6:
r = 18 ÷ 6 =
3
12.
10 = 5s + 0
Adding 0 doesn’t change anything, so:
10 = 5s
Divide both sides by 5:
s = 10 ÷ 5 =
2
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Final Answer:
a = 4
b = 6 (first b), b = 2 (second b)
c = 9
d = 4
g = 10
z = 8
h = 4
j = 3
k = 9
r = 3
s = 2
Parent Tip: Review the logic above to help your child master the concept of printable math worksheet grade 6.
