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Math worksheet providing answers to simple equations, solving for each unknown variable.

Simple Equations (A) Answers worksheet with solved algebraic equations and solutions for unknown variables.

Simple Equations (A) Answers worksheet with solved algebraic equations and solutions for unknown variables.

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Show Answer Key & Explanations Step-by-step solution for: Solve One Step Equations with Smaller Values (Old)
Let’s solve each equation one by one. We’ll find the value of the unknown letter in each case.

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1. 6 = 2 + u
Subtract 2 from both sides:
6 - 2 = u → u = 4

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2. 5 = k - 4
Add 4 to both sides:
5 + 4 = k → k = 9

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3. (-16) = (-9) - w
We can rewrite this as:
-16 = -9 - w
Add 9 to both sides:
-16 + 9 = -w → -7 = -w
Multiply both sides by -1:
w = 7

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4. (-7) + x = (-5)
Add 7 to both sides:
x = -5 + 7 → x = 2

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5. 8 = r + 4
Subtract 4 from both sides:
8 - 4 = r → r = 4

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6. 3 + n = 7
Subtract 3 from both sides:
n = 7 - 3 → n = 4

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7. v + (-3) = (-10)
This is the same as:
v - 3 = -10
Add 3 to both sides:
v = -10 + 3 → v = -7

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8. (-4) + q = (-3)
Add 4 to both sides:
q = -3 + 4 → q = 1

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9. 9 = j + 7
Subtract 7 from both sides:
j = 9 - 7 → j = 2

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10. (-3) = (-6) - n
Rewrite:
-3 = -6 - n
Add 6 to both sides:
-3 + 6 = -n → 3 = -n
Multiply both sides by -1:
n = -3

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11. (-14) = r - 6
Add 6 to both sides:
-14 + 6 = r → r = -8

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12. 5 = 1 + d
Subtract 1 from both sides:
d = 5 - 1 → d = 4

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13. (-2) - k = 4
Rewrite:
-2 - k = 4
Add 2 to both sides:
-k = 6
Multiply by -1:
k = -6

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14. 9 + n = 11
Subtract 9 from both sides:
n = 11 - 9 → n = 2

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15. (-10) = n - 8
Add 8 to both sides:
-10 + 8 = n → n = -2

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16. (-5) = (-3) - n
Rewrite:
-5 = -3 - n
Add 3 to both sides:
-5 + 3 = -n → -2 = -n
Multiply by -1:
n = 2

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17. (-9) = s + (-4)
Same as:
-9 = s - 4
Add 4 to both sides:
s = -9 + 4 → s = -5

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18. 0 = f + 7
Subtract 7 from both sides:
f = 0 - 7 → f = -7

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19. (-4) - s = 0
Rewrite:
-4 - s = 0
Add 4 to both sides:
-s = 4
Multiply by -1:
s = -4

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20. b + 4 = 12
Subtract 4 from both sides:
b = 12 - 4 → b = 8

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Final Answer:
u = 4, k = 9, w = 7, x = 2, r = 4, n = 4, v = -7, q = 1, j = 2, n = -3, r = -8, d = 4, k = -6, n = 2, n = -2, n = 2, s = -5, f = -7, s = -4, b = 8
Parent Tip: Review the logic above to help your child master the concept of adding one step equations worksheet.
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