Combining Like Terms and Distributive Property

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 the expression: 4(3x + 2)

Back

12x + 8

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: 7a + 2a

Back

9a

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 to simplify an expression.

Front

Simplify the expression: 5x + 3x - 2

Back

8x - 2

Front

Combine Like Terms: 6y + 4 - 2y + 1

Back

4y + 5

Front

What is the result of 2(5x - 3)?

Back

10x - 6

Front

Combine Like Terms: 10m + 3 - 4m + 7

Back

6m + 10

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.