Distributive Property and Factoring

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum or difference.

Front

Simplify using the Distributive Property: 3(4 + 5)

Back

27

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor the expression: 10x + 15

Back

5(2x + 3)

Front

Fill in the blank: 5(x + 2) = 5x + __

Back

10

Front

What is the first step in factoring an expression?

Back

The first step is to identify the greatest common factor (GCF) of the terms in the expression.

Front

Factor the expression: 12x + 16

Back

4(3x + 4)

Front

Use the Distributive Property to simplify: 4(2x + 3)

Back

8x + 12

Front

What is the GCF of 8 and 12?

Back

The GCF of 8 and 12 is 4.

Front

Factor the expression: 9x + 12

Back

3(3x + 4)