Distributive Property and Combine 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: 14 - 3(4n - 1)

Back

-12n + 17

Front

Simplify: 4(6n + 9) - 10n

Back

14n + 36

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify: -5 + 5(x + 4)

Back

5x + 15

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same exponent.

Front

Simplify: -8n - 8(-4 - 2n)

Back

8n + 32

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

Simplify: k + 1 - 4(2k - 9)

Back

-7k + 37

Front

What is the result of combining 3x and 5x?

Back

8x