Distributing, Factoring, and 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

Use the distributive property on this expression: 5 (x + 2)

Back

5x + 10

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.

Front

Combine like terms: 7v + 2 + 12 + 2v

Back

9v + 14

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler terms (factors) that, when multiplied together, give the original expression.

Front

Factor the following expression: 2x + 144

Back

2 (x + 72)

Front

Use the distributive property on this expression: -2 (w + 8)

Back

-2w - 16

Front

What is the result of combining like terms: 3x + 4x + 5?

Back

7x + 5

Front

Factor the expression: 24 + 16w

Back

8 (3 + 2w)

Front

What is the first step in using the distributive property?

Back

Multiply the term outside the parentheses by each term inside the parentheses.