Let’s solve each equation one by one. Remember: to get the variable alone, we do the opposite operation on both sides.
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(1) 11 = r – 2
Add 2 to both sides:
11 + 2 = r – 2 + 2 → 13 = r
✔ r = 13
(2) g + 2 = 14
Subtract 2 from both sides:
g + 2 – 2 = 14 – 2 → g = 12
✔ g = 12
(3) 11 = k – 10
Add 10 to both sides:
11 + 10 = k – 10 + 10 → 21 = k
✔ k = 21
(4) 5 = n + 3
Subtract 3 from both sides:
5 – 3 = n + 3 – 3 → 2 = n
✔ n = 2
(5) m – 7 = 14
Add 7 to both sides:
m – 7 + 7 = 14 + 7 → m = 21
✔ m = 21
(6) 13 = a – 5
Add 5 to both sides:
13 + 5 = a – 5 + 5 → 18 = a
✔ a = 18
(7) 6 = w – 7
Add 7 to both sides:
6 + 7 = w – 7 + 7 → 13 = w
✔ w = 13
(8) j – 3 = 12
Add 3 to both sides:
j – 3 + 3 = 12 + 3 → j = 15
✔ j = 15
(9) a + 8 = 22
Subtract 8 from both sides:
a + 8 – 8 = 22 – 8 → a = 14
✔ a = 14
(10) e + 11 = 23
Subtract 11 from both sides:
e + 11 – 11 = 23 – 11 → e = 12
✔ e = 12
(11) 14 = x + 5
Subtract 5 from both sides:
14 – 5 = x + 5 – 5 → 9 = x
✔ x = 9
(12) 4 = q – 14
Add 14 to both sides:
4 + 14 = q – 14 + 14 → 18 = q
✔ q = 18
(13) j – 12 = 8
Add 12 to both sides:
j – 12 + 12 = 8 + 12 → j = 20
✔ j = 20
(14) j – 3 = 11
Add 3 to both sides:
j – 3 + 3 = 11 + 3 → j = 14
✔ j = 14
(15) 14 = r – 13
Add 13 to both sides:
14 + 13 = r – 13 + 13 → 27 = r
✔ r = 27
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Final Answer:
(1) r = 13
(2) g = 12
(3) k = 21
(4) n = 2
(5) m = 21
(6) a = 18
(7) w = 13
(8) j = 15
(9) a = 14
(10) e = 12
(11) x = 9
(12) q = 18
(13) j = 20
(14) j = 14
(15) r = 27
Parent Tip: Review the logic above to help your child master the concept of solving 1 step equations worksheet.
