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

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: 4x + 3y - 2x - 6y

Back

2x - 3y

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

Back

7x - 7y

Front

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

Back

6x - 8y

Front

What is the first step in applying the distributive property?

Back

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

Front

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

Back

2x + 6y

Front

What is the result of combining like terms: 7a + 3a?

Back

10a