Absolutely! Let’s solve each equation step by step using the
Addition Property of Equality, which says:
> If you add the same number to both sides of an equation, the equality remains true.
This is perfect for solving equations like these, where a variable has a number subtracted from it — we’ll
add that number to both sides to isolate the variable.
---
1. x - 4 = 8
We want to get `x` by itself. Since 4 is subtracted from `x`, we add 4 to
both sides:
```
x - 4 + 4 = 8 + 4
x = 12
```
✔ Answer: x = 12
---
2. x - ¹⁄₄ = ³⁄₄
Again, we add ¹⁄₄ to both sides to cancel the subtraction:
```
x - ¹⁄₄ + ¹⁄₄ = ³⁄₄ + ¹⁄₄
x = ⁴⁄₄
x = 1
```
✔ Answer: x = 1
---
3. y - 0.75 = 2.25
Add 0.75 to both sides:
```
y - 0.75 + 0.75 = 2.25 + 0.75
y = 3.00
y = 3
```
✔ Answer: y = 3
---
4. x - 35 = 19
Add 35 to both sides:
```
x - 35 + 35 = 19 + 35
x = 54
```
✔ Answer: x = 54
---
5. x - ²⁄₉ = ¹⁄₉
Add ²⁄₉ to both sides:
```
x - ²⁄₉ + ²⁄₉ = ¹⁄₉ + ²⁄₉
x = ³⁄₉
x = ¹⁄₃ (simplified)
```
✔ Answer: x = ¹⁄₃
---
6. x - 0.9 = 2.5
Add 0.9 to both sides:
```
x - 0.9 + 0.9 = 2.5 + 0.9
x = 3.4
```
✔ Answer: x = 3.4
---
## ✨ Final Answers:
1.
x = 12
2.
x = 1
3.
y = 3
4.
x = 54
5.
x = ¹⁄₃
6.
x = 3.4
You’re now officially geared up with Marlin’s spell! 🧙♂️✨
Let me know if you’d like to check your work or need more practice!
Parent Tip: Review the logic above to help your child master the concept of addition equality worksheet.
