Algebraic Properties

Front

What is the Substitution Property in algebra?

Back

If x = y, then x can be replaced by y in any equation or expression.

Front

What does the Division Property of Equality state?

Back

If a = b, then a/c = b/c for any non-zero c.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What does the Zero Product Property state?

Back

If xy = 0, then x = 0 or y = 0.

Front

What is the Addition Property of Equality?

Back

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

Front

What is the Multiplication Property of Equality?

Back

If a = b, then ac = bc for any c.

Front

What is the Transitive Property of Equality?

Back

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

Front

What is the definition of an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

What is the definition of an expression in algebra?

Back

An expression is a combination of numbers, variables, and operators without an equality sign.

Front

What is the purpose of using properties of equality in algebra?

Back

Properties of equality are used to manipulate equations and maintain equality while solving for variables.