Using the Distributive Property to Expand and Factor

Using the Distributive Property

Expanding and Factoring Expressions Using Area Model

Section 1

Factored and Expanded Forms

Open Ended

EXPAND this expression!

6 (2x + 5)

Open Ended

Can you FACTOR this expression?

15p + 10

Open Ended

Can you FACTOR this expression?

14n + 7

Open Ended

Can you FACTOR this expression?

2x - 8

Distributing a Negative

Distributing negative signs

• When you multiply by a negative you have to change the sign!

• Think about it like you're finding the OPPOSITE!

Multiple Choice

8 $$\cdot$$ -1

• 8

• -8

Multiple Choice

-5 $$\cdot$$ -2

• 10

• -10

Multiple Choice

-3 $$\cdot$$ m

• 3m

• -3m

Multiple Choice

-2(g - 3)

• 2g - 6

• -2g - 6

• -2g + 6

Multiple Choice

-2(-3r + 5)

• 6r - 10

• -6r + 10

• -6r - 10

• 6r + 10

Fill in the Blank

-2(7 - 6y)

Fill in the Blank

-3(2w + 7)

Fill in the Blank

FACTOR this expression

4a - 12b

Fill in the Blank

FACTOR this expression

-2x + 2

Multiple Choice

Expand and combine LIKE TERMS

2 (x - 2x + 7)

• 2x - 4x + 14

• 2x + 4x + 14

• 6x + 14

• -2x + 14

Multiple Choice

Expand and combine LIKE TERMS

-4 (2p - 3) - 2p

• -8p + 12 - 2p

• -8p - 12 - 2p

• -10p - 1

• -10p + 12

Open Ended

What are some mistakes you could see being made when distributing a negative sign?