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 4y - 8.

Back

4(y - 2)

Front

Factor the expression 7c + 14.

Back

7(c + 2)

Front

Factor the expression 12h - 24.

Back

12(h - 2)

Front

Factor the expression 3x + 6.

Back

3(x + 2)

Front

Factor the expression 5a + 10.

Back

5(a + 2)

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

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions evenly.

Front

How do you find the greatest common factor (GCF) of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the factored form of 10x + 20?

Back

10(x + 2)