Unknown Variables in Equations - Subtraction - Range 1 to 20 - Any ... - Free Printable

Sure! Let’s solve each equation step by step to find the value of each unknown variable. The goal is to isolate the variable on one side of the equation.

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1. c – 8 = 13
Add 8 to both sides:
c = 13 + 8
→ c = 21

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2. 2 – f = 1
Subtract 2 from both sides:
–f = 1 – 2 → –f = –1
Multiply both sides by –1:
→ f = 1

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3. 13 = 26 – s
Subtract 26 from both sides:
13 – 26 = –s → –13 = –s
Multiply both sides by –1:
→ s = 13

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4. j – 6 = 18
Add 6 to both sides:
j = 18 + 6
→ j = 24

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5. 13 – 8 = d
Just compute:
d = 5
→ d = 5

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6. 17 – 8 = p
Compute:
p = 9
→ p = 9

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7. 27 – 8 = n
Compute:
n = 19
→ n = 19

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8. t = 27 – 15
Compute:
t = 12
→ t = 12

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9. 6 = m – 6
Add 6 to both sides:
6 + 6 = m
→ m = 12

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10. 26 – h = 10
Subtract 26 from both sides:
–h = 10 – 26 → –h = –16
Multiply by –1:
→ h = 16

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11. 1 = y – 14
Add 14 to both sides:
1 + 14 = y
→ y = 15

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12. 4 = 13 – k
Subtract 13 from both sides:
4 – 13 = –k → –9 = –k
Multiply by –1:
→ k = 9

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13. a – 13 = 11
Add 13 to both sides:
a = 11 + 13
→ a = 24

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14. 14 = g – 9
Add 9 to both sides:
14 + 9 = g
→ g = 23

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15. 13 – x = 4
Subtract 13 from both sides:
–x = 4 – 13 → –x = –9
Multiply by –1:
→ x = 9

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16. 20 = 27 – z
Subtract 27 from both sides:
20 – 27 = –z → –7 = –z
Multiply by –1:
→ z = 7

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17. 10 = 11 – v
Subtract 11 from both sides:
10 – 11 = –v → –1 = –v
Multiply by –1:
→ v = 1

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18. 14 = w – 3
Add 3 to both sides:
14 + 3 = w
→ w = 17

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19. 15 = 30 – r
Subtract 30 from both sides:
15 – 30 = –r → –15 = –r
Multiply by –1:
→ r = 15

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20. 36 – 17 = b
Compute:
b = 19
→ b = 19

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✔ Final Answers:

1. c = 21
2. f = 1
3. s = 13
4. j = 24
5. d = 5
6. p = 9
7. n = 19
8. t = 12
9. m = 12
10. h = 16
11. y = 15
12. k = 9
13. a = 24
14. g = 23
15. x = 9
16. z = 7
17. v = 1
18. w = 17
19. r = 15
20. b = 19

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Explanation Summary:
Each problem involves basic algebra — isolating the variable using inverse operations (adding/subtracting the same number to both sides). For equations like `A - X = B`, you can rearrange as `X = A - B`. For `X - A = B`, add A to both sides: `X = B + A`. Simple arithmetic then gives the answer.

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