Final Answer:
| Equations | Operations being done to the variable | Inverse operation to solve equations |
|-------------------|----------------------------------------|----------------------------------------|
| $x + 5 = 0$ | Adding 5 | Subtract 5 |
| $-2 + x = 9$ | Adding –2 (or subtracting 2) | Add 2 |
| $x - 6 = 8$ | Subtracting 6 | Add 6 |
| $-5 + x = -4$ | Adding –5 (or subtracting 5) | Add 5 |
| $-x + 6 = 0$ | Multiplying by –1, then adding 6 | Subtract 6, then multiply by –1 (or add –6 and change sign) |
| $4x = -12$ | Multiplying by 4 | Divide by 4 |
| $-5x = 20$ | Multiplying by –5 | Divide by –5 |
| $\frac{x}{5} = 8$ | Dividing by 5 | Multiply by 5 |
| $x \div 9 = 3$ | Dividing by 9 | Multiply by 9 |
| $x^2 = 16$ | Squaring | Take square root (±4) |
| $\sqrt{x} = 5$ | Taking square root | Square both sides |
| $2x - 7 = 9$ | Multiplying by 2, then subtracting 7 | Add 7, then divide by 2 |
Parent Tip: Review the logic above to help your child master the concept of inverse operation worksheet.
