1. The Distributive Property of
Algebra

2. 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 Addition
2. Commutative Property of Multiplication
3. Zero Property of Multiplication
4. Identity Property of Addition
5. Inverse Property of Multiplication

3. Today’s Target
 Today, I will be able to use and
understand the distributive
property of real numbers.
 SOL 7.16 b

4. 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 67
2.8 x 91
3.5 x 142
Do Now

5. Distributive Property!
 What does “distribute” mean?

6. Distributive Property!
 The Distributive Property (of
Algebra) says:
+ ac= aba(b + c)

7. 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)

8. 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

9. Khan Academy Example

10. 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