Distributive Property and Factoring Expressions

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 the expression: 6x + 12

Back

6(x + 2)

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

Front

Factor the expression: 12x - 20 using the GCF.

Back

4(3x - 5)

Front

Simplify the expression using the Distributive Property: 7(5x - 1)

Back

35x - 7

Front

Simplify the expression using the Distributive Property: 3(2c - 5)

Back

6c - 15

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

Front

What is the result of applying the Distributive Property to 2(c - 8)?

Back

2c - 16

Front

How do you check if your factoring is correct?

Back

You can check by distributing the factors back to see if you get the original expression.

Front

What is an example of a binomial?

Back

A binomial is an expression that contains two terms, such as 3x + 5.