Distributive Property and 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: 6x + 1 + 7x

Back

13x + 1

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, while 3x and 4y are not.

Front

Simplify: -8(5b + 2) - 7(b - 5)

Back

-47b - 19

Front

Combine like terms: a + a + a + a

Back

4a

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent, simplifying the expression.

Front

Simplify: x + 4 - 7(x - 5)

Back

-6x + 39

Front

Simplify: 16w - 7 - 5w - 11 + 4(w - 5)

Back

15w - 38

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

If 3x + 2x = ?

Back

5x