Distributive Property with Fractions

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

How do you apply the Distributive Property with fractions?

Back

To apply the Distributive Property with fractions, multiply the fraction by each term inside the parentheses. For example, 1/4(4x + 8) becomes (1/4 * 4x) + (1/4 * 8).

Front

What is 1/4(4x + 8)?

Back

x + 2

Front

What is 1/3(15y - 6)?

Back

5y - 2

Front

What is 1/8(64v + 24)?

Back

8v + 3

Front

What is 1/4(20n - 4)?

Back

5n - 1

Front

What is 1/2(6w + 12)?

Back

3w + 6

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

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.