Let’s solve each equation step by step. We’ll isolate the variable (like x, w, y, etc.) on one side of the equals sign.
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(a) 2x + 3 = 9
Subtract 3 from both sides:
2x = 6
Divide by 2:
x = 3
(b) 3w - 1 = 14
Add 1 to both sides:
3w = 15
Divide by 3:
w = 5
(c) 7y + 2 = 30
Subtract 2:
7y = 28
Divide by 7:
y = 4
(d) 5x + 20 = 35
Subtract 20:
5x = 15
Divide by 5:
x = 3
(e) 6c - 12 = 48
Add 12:
6c = 60
Divide by 6:
c = 10
(f) 8m - 4 = 20
Add 4:
8m = 24
Divide by 8:
m = 3
(g) 7w + 13 = 90
Subtract 13:
7w = 77
Divide by 7:
w = 11
(h) 12p - 18 = 30
Add 18:
12p = 48
Divide by 12:
p = 4
(i) 9w - 5 = 67
Add 5:
9w = 72
Divide by 9:
w = 8
(j) 10a + 40 = 100
Subtract 40:
10a = 60
Divide by 10:
a = 6
(k) 9x - 24 = 84
Add 24:
9x = 108
Divide by 9:
x = 12
(l) 7w + 1 = 1
Subtract 1:
7w = 0
Divide by 7:
w = 0
(m) 6x - 19 = 5
Add 19:
6x = 24
Divide by 6:
x = 4
(n) 3w + 4 = 43
Subtract 4:
3w = 39
Divide by 3:
w = 13
(o) x/3 + 1 = 5
Subtract 1:
x/3 = 4
Multiply by 3:
x = 12
(p) c/2 - 4 = 6
Add 4:
c/2 = 10
Multiply by 2:
c = 20
(q) x/10 + 3 = 9
Subtract 3:
x/10 = 6
Multiply by 10:
x = 60
(r) n/9 - 8 = 1
Add 8:
n/9 = 9
Multiply by 9:
n = 81
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Final Answer:
(a) x = 3
(b) w = 5
(c) y = 4
(d) x = 3
(e) c = 10
(f) m = 3
(g) w = 11
(h) p = 4
(i) w = 8
(j) a = 6
(k) x = 12
(l) w = 0
(m) x = 4
(n) w = 13
(o) x = 12
(p) c = 20
(q) x = 60
(r) n = 81
Parent Tip: Review the logic above to help your child master the concept of equation examples.
