Distribute with Negatives

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

How do you distribute a negative number?

Back

When distributing a negative number, you multiply it by each term inside the parentheses and change the sign of each term. For example, -a(b + c) = -ab - ac.

Front

Distribute -4 to the expression (-4d + 5). What is the result?

Back

16d - 20.

Front

Distribute -8 to the expression (6x + 3). What is the result?

Back

-48x - 24.

Front

Distribute -1 to the expression (3v - 8). What is the result?

Back

-3v + 8.

Front

Distribute -9 to the expression (g - 3). What is the result?

Back

-9g + 27.

Front

Distribute -3 to the expression (a + 3). What is the result?

Back

-3a - 9.

Front

What happens to the signs of terms when you distribute a negative number?

Back

The signs of the terms change; positive terms become negative and negative terms become positive.

Front

If you have -x(2 + 4), what is the result?

Back

-6x.

Front

What is the result of distributing -5 to (x - 2)?

Back

-5x + 10.