Distributive Property with Combining 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(9 + 2d) + 4d

Back

27 + 10d

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Simplify: 8a + 2(7a + 3)

Back

22a + 6

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same exponent.

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

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: 9x + 5(x + 3)

Back

14x + 15

Front

What is the result of 20 + 3(2x - 5)?

Back

5 + 6x

Front

How do you identify like terms in an expression?

Back

Look for terms that have the same variable and exponent.