Combine 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

Apply the distributive property: 4(5x + 3)

Back

20x + 12

Front

Apply the distributive property: 2(3x - 4y)

Back

6x - 8y

Front

Apply the distributive property: 2(4m + 3n)

Back

8m + 6n

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify the expression: 5x - 3y + 2x - 4y

Back

7x - 7y

Front

Simplify the expression: 7p - 3q + 2p - 5q

Back

9p - 8q

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent. For example, 3x and 5x are like terms.

Front

What is an example of using the distributive property with negative numbers?

Back

Apply the distributive property: -3(2x - 4) = -6x + 12.

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.