distributive property
TRANSCRIPT
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