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.