Simplifying Expressions using the 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: 4(3x + 2)

Back

12x + 8

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms.

Front

Combine like terms: 5a + 3a - 2a

Back

6a

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 3x + 5, 5 is the constant term.

Front

Simplify: 2(5y - 3)

Back

10y - 6

Front

Combine like terms: 7x + 2 - 3x + 4

Back

4x + 6

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: 6(2a + 1) - 4

Back

12a + 2