1.4 Distributive Property and Combining Like Terms Alg 1 V1

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: 2x + 3(x + 3)

Back

5x + 9

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

Combine like terms: -5y - 7 + 6 + 13y

Back

8y - 1

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

The first step is to distribute the term outside the parentheses to each term inside the parentheses.

Front

Simplify: (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)

Back

-8n^2 - 8n + 3

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of terms that have the same variable and exponent.

Front

Simplify: 3(9 + 2d) + 4d

Back

27 + 10d

Front

What is the result of applying the Distributive Property to 5(x + 2)?

Back

5x + 10

Front

Simplify: 9x + 5(x + 3)

Back

14x + 15