distributive property

10
The Distributive Property of Algebra

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Page 1: Distributive property

The Distributive Property of Algebra

Page 2: Distributive property

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

Page 3: Distributive property

Today’s Target

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

SOL 7.16 b

Page 4: Distributive property

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

Page 5: Distributive property

Distributive Property!

What does “distribute” mean?

Page 6: Distributive property

Distributive Property!

The Distributive Property (of Algebra) says:

+ ac= aba(b + c)

Page 7: Distributive property

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)

Page 8: Distributive property

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

Page 9: Distributive property

Khan Academy Example

Page 10: Distributive property

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