Algebraic Proofs

If a = b and c ≠ 0, then a / c = b / c.

If a + b = c, then a = c - b.

If a = b, then a + c = b + c.

If a * b = c, then a = c / b.

Reflexive Property of Equality

Transitive Property of Equality

Symmetric Property of Equality

Substitution Property of Equality

If a = b, then b = a.

If a = b, then a + c = b + c.

If a = b, then a - c = b - c.

If a = b, then a * c = b * c.

Addition Property of Equality

Subtraction Property of Inequality

Multiplication Property of Zero

Division Property of Equality

If a = b, then a + c = b + c.

If a + b = c, then a = c - b.

If a = b, then a - c = b - c.

If a + c = b, then a = b - c.

Reflexive

Symmetric

Transitive

Associative

A statement accepted without proof as a basis for reasoning.

A theory that has been proven through experimentation.

A hypothesis that requires further testing.

A conclusion drawn from empirical evidence.

To demonstrate the validity of a mathematical statement or theorem.

To provide a visual representation of a concept.

To summarize the findings of a research study.

To entertain the audience with mathematical puzzles.

A statement that has been proven based on previously established statements.

A hypothesis that has not yet been tested.

An opinion that is widely accepted as true.

A mathematical expression that represents a relationship.

If a = b, then a * c = b * c.

If a + b = c, then a = c - b.

If a = b, then a / c = b / c.

If a * b = c, then a + b = c.