Simplifying using 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: 12 + 7(x + 5) + 8x

Back

15x + 47

Front

What does 'combining like terms' mean?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Simplify: 2(4k + 7)

Back

8k + 14

Front

What is a 'like term'?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

Simplify: 6(x + y + 7)

Back

6x + 6y + 42

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: 2x + 3(x + 3)

Back

5x + 9

Front

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

Back

8x

Front

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

Back

27 + 10d