Simplify Expressions (Like-Terms + Distributive Property)

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

Simplify: 3(2c - 5)

Back

6c - 15

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, while 2x and 3y are not.

Front

Simplify: 2x + 3(4x + 4)

Back

14x + 12

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as simple as possible.

Front

Simplify: r + 10r

Back

11r

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 5x, 5 is the coefficient.

Front

Simplify: 8x - 2 + x

Back

9x - 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

Simplify: 8h + 7(2 + 4h)

Back

36h + 14