factoring and 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

Simplify: 12( y - 6 )

Back

12y - 72

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: 8x - 10

Back

2(4x - 5)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

Factor: 7w^3 - 14w

Back

7w(w^2 - 2)

Front

Simplify: -2 (-2b + 6)

Back

4b - 12

Front

What is the first step in factoring an expression?

Back

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

Front

What is the result of applying the distributive property to 3(x + 4)?

Back

3x + 12

Front

What is the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.