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 each term inside a set of parentheses.

Front

What does GCF stand for?

Back

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

Front

How do you find the 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 first step in factoring expressions?

Back

Find the GCF of the terms in the expression.

Front

Factor the expression: 35c - 15d

Back

5(7c - 3d)

Front

What is the result of applying the Distributive Property to 5(a + 6)?

Back

5a + 30

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

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

Back

2c - 16

Front

What is an expression?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value.

Front

What is a coefficient in an expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.