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 single term by two or more terms inside a set of parentheses.

Front

Factor the expression: 3x + 27

Back

3(x + 9)

Front

Factor the expression: 6x + 20

Back

2(3x + 10)

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

Expand using the Distributive Property: 4(p - 6)

Back

4p - 24

Front

Expand using the Distributive Property: 2(1 + 10v)

Back

2 + 20v

Front

What is a factor in mathematics?

Back

A factor is a number or algebraic expression that divides another number or expression evenly, without leaving a remainder.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share.

Front

How do you find the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

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.