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

Use the distributive property to simplify: 4x(5 + 2x + 9x)

Back

20x + 44x²

Front

Use the distributive property to simplify: 5x(3x + 6)

Back

15x² + 30x

Front

Use the distributive property to simplify: x(3x - y + 4x)

Back

7x² - xy

Front

Use the distributive property to simplify: x(x + y)

Back

x² + xy

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

Identify the factored form of: 24x + 16

Back

8(3x + 2)

Front

What is the first step in using the distributive property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

If a = 2 and b = 3, what is the value of 2(a + b)?

Back

10 (2(2 + 3) = 10)

Front

What is the result of factoring 15x + 10?

Back

5(3x + 2)