1. 1.2 Distributive Property Distributive Property
DO NOW
Evaluate each expression
1. 3(6 + 9)
2. 2(6) + 3(9)

2. In the DO NOW, you should have noticed that both expressions simplified to the same result.
The fact that multiplication can be written as repeated addition allows us to circumvent order of operations when it is convenient to do so.  This procedure is known as the DISTRIBUTIVE PROPERTY.
4(8+1)

4. The Distributive Property:
The distributive property involves the operations of multiplication and addition or multiplication and subtraction. When we use the distributive property, we are multiplying each term inside the parentheses with the term outside of the parentheses. 
The Distributive Property:
When two things are next to each other, it means
multiplications.

5. The distributive property is telling us how to deal with those parenthesis when we just have
letters inside. Remember that you always do what’s in the parenthesis first…but, in Algebra,
you may not be able to add the b and the c…So, this property tells you what to do.

6. Use the distributive property to simplify.
1) 3(x + 7)
6) x(a - m)
ax - mx 3x
+ 21
2) 2(a + 4)
7) 4(3 - r) 2a
+ 8
12 - 4r
3) 7(8 + m)
8) 2(x + 8)
2x + 16 56
+ 7m
4) 3(4 + a)
9) 7(2m + 3y + 4) 12
+ 3a
14m + 21y + 28
5) (3 - k)5
10) (6 + 2y + a)3 15
- 5k
18 + 6y + 3a