Factoring with the Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Factor 49 + 84 using the Distributive Property.

Back

7(7 + 12)

Front

Factor 55 + 22 + 11 using the Distributive Property.

Back

11(5 + 2 + 1)

Front

Factor 7 + 21 using the Distributive Property.

Back

7(1 + 3)

Front

Factor 24 + 20 using the Distributive Property.

Back

4(6 + 5)

Front

Factor 45 + 18 using the Distributive Property.

Back

9(5 + 2)

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors.

Front

How do you identify a common factor in an expression?

Back

A common factor is a number or variable that divides each term in the expression without leaving a remainder.

Front

What is a factor tree?

Back

A factor tree is a diagram that shows the factors of a number, breaking it down into its prime factors.

Front

What is the first step in factoring using the Distributive Property?

Back

Identify the greatest common factor (GCF) of the terms in the expression.