Writing Expressions Using Distributive Property

3.3 Distributive Property

GOAL = To be able to simplify algebraic expressions by using the distributive property

Open Ended

What does it mean to "distribute" something?

Multiple Choice

When applying the Distributive Property, what operation do we use?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Simplify.

$$5\left(-2x+1\right)$$

• -10x + 1

• 10x + 5

• -10x + 5

• None of these

Fill in the Blanks

Simplify.

$8\left(3x-10\right)$

No spaces in your answer. Write variable term first! EX: "2x+9"

Multiple Choice

What number is secretly hiding in front of the parentheses?

$$-\left(x+4\right)$$

• 1

• -1

• x

• None

Multiple Choice

Simplify by distributing.

$$-\left(x+4\right)$$

• x + 4

• x - 4

• -4x

• -x - 4

Multiple Choice

What is the first step when simplifying the expression below?

$$5x+3\left(4x-7\right)$$

• Combine the 5x and 3

• Combine the 4x and -7

• Distribute the 3

• Distribute the

  5x + 3

Multiple Choice

Write in simplest form.

$$5x+3\left(4x-7\right)$$

• 9x - 4

• 17x - 21

• 5x + 12x - 21

• None of these

Multiple Choice

Simplify by distributing.

$$\frac{1}{4}\left(8x+20\right)$$

• 4x + 16

• 2x + 20

• 7x

• 2x + 5

Fill in the Blanks

🌶️ One more...write in simplest form.

$\frac{2}{3}\left(12x-9\right)$

No spaces. Write variable term first!

Poll

How do you feel about the Distributive Property?

• 1 - Completely lost

• 2 - Seems difficult

• 3 - It's okay, but I will need a lot of practice

• 4 - I feel good and can complete problems on my own

• 5 - I feel great and can explain this skill to other students