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 two or more terms inside a set of parentheses.

Front

Factor the expression: 24x + 16

Back

8(3x + 2)

Front

Use the Distributive Property to simplify: 5x(3x + 6)

Back

15x² + 30x

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, which can help simplify the expression or solve equations.

Front

Factor the expression: 15x + 10

Back

5(3x + 2)

Front

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

Back

7x² - xy

Front

What is an equivalent expression?

Back

An equivalent expression is one that has the same value as another expression, even though it may look different.

Front

Use the Distributive Property to simplify: 4x(5 + 2x + 9x)

Back

20x + 44x²

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 GCF of 24 and 16?

Back

The GCF of 24 and 16 is 8.