Combining Like Terms & Distributive Property

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 2x are like terms because they both contain the variable x.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of the terms. For example, 3x + 2x = (3 + 2)x = 5x.

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 each term inside a parentheses.

Front

Simplify: 3x + 4x

Back

7x

Front

Simplify: 5y - 2y + 3y

Back

6y

Front

Simplify: 2(x + 4)

Back

2x + 8

Front

Simplify: 4(3y - 2)

Back

12y - 8

Front

What is the result of applying the Distributive Property to 2(3 + 5)?

Back

16

Front

Simplify: 7a + 2a - 5a

Back

4a

Front

Simplify: 6(2x + 1) - 3x

Back

12x + 6 - 3x = 9x + 6