Let’s solve each equation one by one. These are all “one-step” equations, which means we only need to do one math operation (addition or subtraction) to find the value of the letter (variable).
We’ll go through each problem carefully and check our work.
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1) x + 6 = 12
To get x alone, subtract 6 from both sides:
x + 6 - 6 = 12 - 6
→ x = 6
✔ Check: 6 + 6 = 12 → Correct!
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2) s - 1 = 10
Add 1 to both sides:
s - 1 + 1 = 10 + 1
→ s = 11
✔ Check: 11 - 1 = 10 → Correct!
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3) 3 = z - 11
Add 11 to both sides:
3 + 11 = z - 11 + 11
→ 14 = z
(or z = 14)
✔ Check: 14 - 11 = 3 → Correct!
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4) 5 + y = 7
Subtract 5 from both sides:
5 + y - 5 = 7 - 5
→ y = 2
✔ Check: 5 + 2 = 7 → Correct!
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5) 8 = 2 + q
Subtract 2 from both sides:
8 - 2 = 2 + q - 2
→ 6 = q
(or q = 6)
✔ Check: 2 + 6 = 8 → Correct!
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6) 6 = n - 4
Add 4 to both sides:
6 + 4 = n - 4 + 4
→ 10 = n
(or n = 10)
✔ Check: 10 - 4 = 6 → Correct!
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7) t - 2 = 5
Add 2 to both sides:
t - 2 + 2 = 5 + 2
→ t = 7
✔ Check: 7 - 2 = 5 → Correct!
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8) 6 = m + 6
Subtract 6 from both sides:
6 - 6 = m + 6 - 6
→ 0 = m
(or m = 0)
✔ Check: 0 + 6 = 6 → Correct!
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9) p + 7 = 8
Subtract 7 from both sides:
p + 7 - 7 = 8 - 7
→ p = 1
✔ Check: 1 + 7 = 8 → Correct!
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10) 4 + a = 13
Subtract 4 from both sides:
4 + a - 4 = 13 - 4
→ a = 9
✔ Check: 4 + 9 = 13 → Correct!
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All answers have been checked and are correct.
Final Answer:
1) x = 6
2) s = 11
3) z = 14
4) y = 2
5) q = 6
6) n = 10
7) t = 7
8) m = 0
9) p = 1
10) a = 9
Parent Tip: Review the logic above to help your child master the concept of solving addition and subtraction equations worksheet.
