Algebraic Proofs

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a. This property states that if one quantity equals another, then the second quantity equals the first.

Front

What is the Reflexive Property of Equality?

Back

For any number a, a = a. This property states that any quantity is equal to itself.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c. This property allows us to conclude that if two quantities are equal to a third quantity, they are equal to each other.

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c. This property states that you can add the same value to both sides of an equation without changing the equality.

Front

What is the Subtraction Property of Equality?

Back

If a = b, then a - c = b - c. This property states that you can subtract the same value from both sides of an equation without changing the equality.

Front

What is the Multiplication Property of Equality?

Back

If a = b, then a * c = b * c. This property states that you can multiply both sides of an equation by the same non-zero value without changing the equality.

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a / c = b / c. This property states that you can divide both sides of an equation by the same non-zero value without changing the equality.

Front

Provide an example of the Symmetric Property of Equality.

Back

If 5 = x, then x = 5.

Front

Provide an example of the Reflexive Property of Equality.

Back

If x = 7, then 7 = 7.

Front

Provide an example of the Transitive Property of Equality.

Back

If x = 3 and 3 = y, then x = y.