Simplify with Distributive Property and Like Terms

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

Simplify: 2x(3x - 7)

Back

6x² - 14x

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and -9x are like terms.

Front

Identify the like terms in the expression: 3x + 7 - 9x + 24y + 2x²

Back

3x and -9x are like terms.

Front

Simplify: 3(3x + 1)

Back

9x + 3

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: 5a + 2b - 3a + 4

Back

2a + 2b + 4

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: ½ (¾ x² - ⅔ x + 12)

Back

⅜ x² - ⅓ x + 6

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.