1. Warm-up September 19, 2016
Solve using the Order of Operations PE(MD)(AS):
* 4 – 6 * 14 =
(4 * 5) + (6 * 9) ÷ 2 =
4.8 ÷ 2 * 12 =
SHOW ALL YOUR WORK C

2. Warm-up
105 47
28.8

3. Commutative Property
The sum of two numbers is the same no matter which order is used to add them.
a + b = b + a
3 + 7 = 7 + 3
Also applies to multiplication.
A * B = B * A

4. Associative Property
The sum of three numbers is the same whether you group the first two numbers or the second two numbers.
(a + b) + c = a + (b + c)
(3 + 7) + 5 = 3 + (7 + 5)
Also applies to multiplication.
(3 * 7) * 5 = 3 * (7 * 5)

5. Distributive Property
To multiply a number by a sum of two terms, you can multiply that number by each term and add the two products.
a(b + c) = ab + ac
3(7 + 5) = 3*7 + 3*5

6. Distributive Property
5 ( 6 + M ) 9) -2 ( -6 + S )
-5 ( 6 + M ) 10) -5 ( -5 + W )
3 ( 5 + T )
8 ( 4 – Y )
-8 (4 – B )
2 ( 3 + 2K)
2 ( R )
- 2( 6 + F )

7. Classwork
Page 193 Problems 1 – 12 Page 194 Problem 21

8. Let’s try to simplify: 6T – 3T 5A + 6 – A 8Y + 14 + 10Y – 2
6R + 8S – 4 – 4R +2S + 8
3W – 6X + 2 – 5W + 4X + 7
Find like terms, combine like terms, write the simplified expression.

9. Vocabulary Words Associative Property Distributive Property
Commutative Property
Ordered Pair
Coordinates