Let's solve each equation step by step. The goal is to
solve for $ x $ in each addition and subtraction equation.
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1. $ x + 27 = 48 $
Subtract 27 from both sides:
$ x = 48 - 27 $
$ x = 21 $
✔ Answer: $ x = 21 $
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2. $ x + 10 = 17 $
Subtract 10 from both sides:
$ x = 17 - 10 $
$ x = 7 $
✔ Answer: $ x = 7 $
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3. $ x - 73 = 17 $
Add 73 to both sides:
$ x = 17 + 73 $
$ x = 90 $
✔ Answer: $ x = 90 $
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4. $ x - 73 = 144 $
Add 73 to both sides:
$ x = 144 + 73 $
$ x = 217 $
✔ Answer: $ x = 217 $
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5. $ 10 - x = 77 $
We want to isolate $ x $. First, subtract 10 from both sides:
$ -x = 77 - 10 $
$ -x = 67 $
Now multiply both sides by -1:
$ x = -67 $
✔ Answer: $ x = -67 $
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6. $ x + 1 = 9 $
Subtract 1 from both sides:
$ x = 9 - 1 $
$ x = 8 $
✔ Answer: $ x = 8 $
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7. $ 5 - x = 12 $
Subtract 5 from both sides:
$ -x = 12 - 5 $
$ -x = 7 $
Multiply both sides by -1:
$ x = -7 $
✔ Answer: $ x = -7 $
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8. $ 2 = x + 12 $
Subtract 12 from both sides:
$ 2 - 12 = x $
$ x = -10 $
✔ Answer: $ x = -10 $
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9. $ x - 8 = 19 $
Add 8 to both sides:
$ x = 19 + 8 $
$ x = 27 $
✔ Answer: $ x = 27 $
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10. $ x - 22 = 30 $
Add 22 to both sides:
$ x = 30 + 22 $
$ x = 52 $
✔ Answer: $ x = 52 $
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11. $ 13 = x + 4 $
Subtract 4 from both sides:
$ 13 - 4 = x $
$ x = 9 $
✔ Answer: $ x = 9 $
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12. $ x - 4 = 5 $
Add 4 to both sides:
$ x = 5 + 4 $
$ x = 9 $
✔ Answer: $ x = 9 $
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13. $ x - 17 = 22 $
Add 17 to both sides:
$ x = 22 + 17 $
$ x = 39 $
✔ Answer: $ x = 39 $
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14. $ x + 13 = 27 $
Subtract 13 from both sides:
$ x = 27 - 13 $
$ x = 14 $
✔ Answer: $ x = 14 $
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15. $ 24 = x + 15 $
Subtract 15 from both sides:
$ 24 - 15 = x $
$ x = 9 $
✔ Answer: $ x = 9 $
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16. $ x - 7 = 14 $
Add 7 to both sides:
$ x = 14 + 7 $
$ x = 21 $
✔ Answer: $ x = 21 $
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17. $ x + 22 = 20 $
Subtract 22 from both sides:
$ x = 20 - 22 $
$ x = -2 $
✔ Answer: $ x = -2 $
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18. $ 15 = x + 10 $
Subtract 10 from both sides:
$ 15 - 10 = x $
$ x = 5 $
✔ Answer: $ x = 5 $
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | $ x = 21 $ |
| 2 | $ x = 7 $ |
| 3 | $ x = 90 $ |
| 4 | $ x = 217 $ |
| 5 | $ x = -67 $ |
| 6 | $ x = 8 $ |
| 7 | $ x = -7 $ |
| 8 | $ x = -10 $ |
| 9 | $ x = 27 $ |
| 10 | $ x = 52 $ |
| 11 | $ x = 9 $ |
| 12 | $ x = 9 $ |
| 13 | $ x = 39 $ |
| 14 | $ x = 14 $ |
| 15 | $ x = 9 $ |
| 16 | $ x = 21 $ |
| 17 | $ x = -2 $ |
| 18 | $ x = 5 $ |
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🔍 Summary of Strategy:
- To solve equations like $ x + a = b $, subtract $ a $ from both sides.
- To solve $ x - a = b $, add $ a $ to both sides.
- For equations like $ a - x = b $, isolate $ x $ by moving terms and remembering that $ -x $ means multiplying by -1 at the end.
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of one variable equations worksheet.