Simplify Expressions with 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 the expression: 4(3 + 5)

Back

32

Front

What is a coefficient in an expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

Simplify the expression: 2x + 3x

Back

5x

Front

Use the distributive property to simplify: 3(2x + 4)

Back

6x + 12

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Simplify the expression: 6y - 2y + 4

Back

4y + 4

Front

Use the distributive property to find an equivalent expression: 7(3x + 2)

Back

21x + 14

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

Simplify the expression: 5a + 3a - 2a

Back

6a