Properties of Equality

Properties of Equality
Equation Rules

Equivalence properties and algebra rules for manipulating equations are listed below.

Definitions

1. a = b means a is equal to b.
2. a ≠ b means a does not equal b.

Operations

1. Addition: If a = b then a + c = b + c.
2. Subtraction: If a = b then a – c = b– c.
3. Multiplication: If a = b then ac = bc.
4. Division: If a = b and c ≠ 0 then a/c = b/c.

Reflexive Property	a = a
Symmetric Property	If a = b then b = a.
Transitive Property	If a = b and b = c then a = c.