Distributive Property & Combining 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 two or more terms inside a set of parentheses.

Front

Simplify: −3(x − 4) + 3(a − 6)

Back

−3x + 3a − 6

Front

Simplify: 5(a + 6)

Back

5a + 30

Front

Simplify: 9(2g + 3)

Back

18g + 27

Front

Simplify: −(2x − 7)

Back

−2x + 7

Front

Simplify: (b + 8)5

Back

5b + 40

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, 3x + 5x = 8x.

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 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 applying the distributive property.