Combining Like Terms and 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 5x are like terms, while 3x and 4y are not.

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: -2y + 8 + 7y + 5

Back

5y + 13

Front

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

Back

-3x + 3a - 6

Front

Simplify: 3(9 + 2d) + 4d

Back

27 + 10d

Front

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

Back

-8

Front

Simplify: -6(3x - 9y - 10)

Back

-18x + 54y + 60

Front

What is the first step in combining like terms?

Back

Identify and group the like terms together.

Front

How do you apply the Distributive Property to the expression 4(2 + 3)?

Back

4(2 + 3) = 4*2 + 4*3 = 8 + 12 = 20.

Front

What is the result of combining the like terms 5x + 3x?

Back

8x.