distributive property

The Distributive Property of Algebra

Review On your notecard, please work these 5 problems

individually. For each of these properties, write an equation that gives me an example of that property.

I will collect 4 minutes after the bell and we will find my favorite no.

1. Associative Property of Addition2. Commutative Property of Multiplication3. Zero Property of Multiplication4. Identity Property of Addition5. Inverse Property of Multiplication

Today’s Target

Today, I will be able to use and understand the distributive property of real numbers.

SOL 7.16 b

Example:4 x 53 =4(50 + 3)=(4 x 50) + (4 x 3)=200 + 12=212

Work in groups of 2 to explain what is happening in the example, then use a similar

strategy to solve problems 1-3.

1.7 x 672.8 x 91

3.5 x 142

Do Now

Distributive Property!

What does “distribute” mean?

Distributive Property!

The Distributive Property (of Algebra) says:

+ ac= aba(b + c)

Distributive Property

How does this go along with our warm-up?

4 x 53 =4(50 + 3)=(4 x 50) + (4 x 3)=200 + 12=212

+ ac= aba(b + c)

Now with some variables… Simplify the following expressions…

5 (2x - 3)

-7 (x + 2)

10 (2x - 5)

-6 ( -2m + 2)

=10∙x-(5 ∙3)

=-7∙x+(-7∙2)= -7x - 14

=10∙2x -(5∙10)

=(-6∙-2m)+(-6∙2)= 12x - 12

= 10x - 15

= 20x - 50

Khan Academy Example

Write five challenging expressions that can be simplified using the distributive property and then solve them!

Example (don’t use mine!) -7 (x + 2)= (-7•x) + (-7•2)=-7x + (-14)

Lastly, write one question you have about the distributive property!

Exit Ticket