Distributive Property and Combing 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: 3(4 + 5)

Back

27

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 2y are not.

Front

Simplify: 2x + 3x

Back

5x

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, simplifying the expression.

Front

Simplify: 5y + 3y - 2y

Back

6y

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: 4(2x + 3)

Back

8x + 12

Front

What is the result of combining like terms 7a + 2b - 3a + 4b?

Back

4a + 6b

Front

Simplify: 6(2 + 3x) - 4x

Back

12 + 18x