Properties of Equality

Front

What is the Division Property of Equality?

Back

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

Front

Explain the Symmetric Property of Equality.

Back

If a = b, then b = a.

Front

What does the Substitution Property state?

Back

If a = b, then a can be replaced by b in any expression.

Front

Describe the Addition Property of Equality.

Back

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

Front

What is the Division Property?

Back

If a = b and c ≠ 0, then a/c = b/c.

Front

Define the Addition Property of Equality in terms of an equation.

Back

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

Front

What is the purpose of the Substitution Property in algebra?

Back

To allow the replacement of one variable with another equivalent variable in an expression.

Front

How does the Symmetric Property apply to equations?

Back

It allows you to switch the sides of an equation without changing its truth value.

Front

What is an example of the Division Property of Equality?

Back

If 4x = 20, then x = 20/4 = 5.

Front

How can the Addition Property of Equality be used to solve equations?

Back

By adding the same value to both sides of an equation to maintain equality.