Let’s solve each equation one by one. Remember, we want to find the value of the letter (variable) that makes the equation true.
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1. x + 5 = 16
To get x alone, subtract 5 from both sides:
x = 16 - 5 →
x = 11
2. 7 - y = 2
We can think: “What number subtracted from 7 gives 2?”
Or rearrange: 7 - 2 = y →
y = 5
3. 8 + a = 31
Subtract 8 from both sides:
a = 31 - 8 →
a = 23
4. b - 4 = 51
Add 4 to both sides:
b = 51 + 4 →
b = 55
5. 21 + c = 42
Subtract 21 from both sides:
c = 42 - 21 →
c = 21
6. 6 + d = 14
Subtract 6 from both sides:
d = 14 - 6 →
d = 8
7. e - 3 = 15
Add 3 to both sides:
e = 15 + 3 →
e = 18
8. f + 9 = 28
Subtract 9 from both sides:
f = 28 - 9 →
f = 19
9. g - 9 = 6
Add 9 to both sides:
g = 6 + 9 →
g = 15
10. h - 7 = 10
Add 7 to both sides:
h = 10 + 7 →
h = 17
11. i + 5 = 14
Subtract 5 from both sides:
i = 14 - 5 →
i = 9
12. 16 + j = 38
Subtract 16 from both sides:
j = 38 - 16 →
j = 22
Challenge Problems:
13. k - 2 = 20
Add 2 to both sides:
k = 20 + 2 →
k = 22
14. m + 3 = 1
Subtract 3 from both sides:
m = 1 - 3 →
m = -2
15. 8 - n = 15
Think: What number do you subtract from 8 to get 15? That means n must be negative.
Rearrange: 8 - 15 = n →
n = -7
All answers match what’s shown in the image — and they’re all correct!
Final Answer:
x = 11, y = 5, a = 23, b = 55, c = 21, d = 8, e = 18, f = 19, g = 15, h = 17, i = 9, j = 22, k = 22, m = -2, n = -7
Parent Tip: Review the logic above to help your child master the concept of 1 step equations worksheet.
