Basic Algebra Operations
This lesson teachers the correct way to help beginning students Algebra I to learn the official Properties of Equality.
1) Addition Property of Equality: If a = b, then a + c = b + c
2) Subtraction Property of Equality: If a = b, then a - c = b - c
3) Multiplication Property of Equality: If a = b, then a × c = b × c
4) Division Property of Equality: If a = b, then a ÷ c = b ÷ c
CoPilot AI defines each property and why it is needed.
1) Addition Property of Equality
If you add the same number to both sides of an equation, the equality remains true.
- Example: If a = b, then a + c = b + c
- Why it matters: It helps isolate variables when solving equations.
- Example: If a = b, then a - c = b - c
- Use case: Often used to move terms from one side to the other.
- Example: If a = b, then a × c = b × c
- Important note: c must not be zero when solving equations.
- Example: If a = b, then a ÷ c = b ÷ c
- Key rule: Never divide by zero — it’s undefined.