Sure! Let’s solve each of the 18 equations step by step. The goal is to
solve for x in each equation using basic algebra — that means isolating x on one side of the equation by performing inverse operations.
---
🔢 Equation 1: `x + 27 = 48`
Subtract 27 from both sides:
> x = 48 - 27
>
x = 21
---
🔢 Equation 2: `x + 10 = 17`
Subtract 10 from both sides:
> x = 17 - 10
>
x = 7
---
🔢 Equation 3: `x - 73 = 17`
Add 73 to both sides:
> x = 17 + 73
>
x = 90
---
🔢 Equation 4: `x - 73 = 144`
Add 73 to both sides:
> x = 144 + 73
>
x = 217
---
🔢 Equation 5: `10 - x = 77`
Subtract 10 from both sides:
> -x = 77 - 10 → -x = 67
Multiply both sides by -1:
>
x = -67
---
🔢 Equation 6: `x + 1 = 9`
Subtract 1 from both sides:
> x = 9 - 1
>
x = 8
---
🔢 Equation 7: `5 - x = 12`
Subtract 5 from both sides:
> -x = 12 - 5 → -x = 7
Multiply by -1:
>
x = -7
---
🔢 Equation 8: `2 = x + 12`
Subtract 12 from both sides:
> 2 - 12 = x →
x = -10
---
🔢 Equation 9: `x - 8 = 19`
Add 8 to both sides:
> x = 19 + 8
>
x = 27
---
🔢 Equation 10: `x - 22 = 30`
Add 22 to both sides:
> x = 30 + 22
>
x = 52
---
🔢 Equation 11: `13 = x + 4`
Subtract 4 from both sides:
> 13 - 4 = x →
x = 9
---
🔢 Equation 12: `x - 4 = 5`
Add 4 to both sides:
> x = 5 + 4
>
x = 9
---
🔢 Equation 13: `x - 17 = 22`
Add 17 to both sides:
> x = 22 + 17
>
x = 39
---
🔢 Equation 14: `x + 13 = 27`
Subtract 13 from both sides:
> x = 27 - 13
>
x = 14
---
🔢 Equation 15: `24 = x + 15`
Subtract 15 from both sides:
> 24 - 15 = x →
x = 9
---
🔢 Equation 16: `x - 7 = 14`
Add 7 to both sides:
> x = 14 + 7
>
x = 21
---
🔢 Equation 17: `x + 22 = 20`
Subtract 22 from both sides:
> x = 20 - 22
>
x = -2
---
🔢 Equation 18: `15 = x + 10`
Subtract 10 from both sides:
> 15 - 10 = x →
x = 5
---
##
✔ Final Answers:
| # | Equation | Solution |
|----|--------------------|--------|
| 1 | x + 27 = 48 |
21 |
| 2 | x + 10 = 17 |
7 |
| 3 | x - 73 = 17 |
90 |
| 4 | x - 73 = 144 |
217|
| 5 | 10 - x = 77 |
-67|
| 6 | x + 1 = 9 |
8 |
| 7 | 5 - x = 12 |
-7 |
| 8 | 2 = x + 12 |
-10|
| 9 | x - 8 = 19 |
27 |
| 10 | x - 22 = 30 |
52 |
| 11 | 13 = x + 4 |
9 |
| 12 | x - 4 = 5 |
9 |
| 13 | x - 17 = 22 |
39 |
| 14 | x + 13 = 27 |
14 |
| 15 | 24 = x + 15 |
9 |
| 16 | x - 7 = 14 |
21 |
| 17 | x + 22 = 20 |
-2 |
| 18 | 15 = x + 10 |
5 |
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## 📝 Summary:
To solve these equations, we used
inverse operations:
- If a number is
added to x →
subtract it from both sides.
- If a number is
subtracted from x →
add it to both sides.
- If x is being
subtracted (like 10 - x), move constants first, then multiply by -1 if needed.
Let me know if you want a worksheet with these answers filled in or need explanations for any specific problem! 😊
Parent Tip: Review the logic above to help your child master the concept of 1 step equations worksheet.