Lesson 2.4 Distributive Property.notebook
September 12, 2012
Term: Chapter 2 Section 4:
The Distributive Property!!
a number, a variable, or the product of a number and one or more variables.
6a2 ­ 5ab + 3b ­12
constant
coefficient
Like Terms: Have the exact same variables Aug 31­5:10 PM
Aug 31­5:59 PM
Combining Like Terms!!
(Apples and Oranges!)
Yes or No???
Like Terms:
Not Like Terms:
Sep 9­4:06 PM
5 + 7 = 12 3x + 2y = NO!!
8 ­ 10 = NO!!
4y3 + 8y2 = NO!!
7y + 6 y = 13y
6x2 ­ 8x2 = ­2x2
Aug 31­6:08 PM
The Distributive Property
a(b + c) = ab + ac
or
a(b ­ c) = ab ­ ac
Aug 21­5:48 PM
Aug 31­5:38 PM
1
Lesson 2.4 Distributive Property.notebook
Testing The Distributive Property
a(b + c) = ab + ac
Substitute numbers for a, b, and c into the distributive property equation to see if it's true
September 12, 2012
Simplifying an Expression Using the
Distributive Property
a. 2(5x + 3) b. (3b ­ 2)3
Let a = 2, b = 5, and c = 3
Aug 31­5:55 PM
Aug 31­5:55 PM
Using the Multiplication Property of -1
Remember! a. ­ (6x + 4) b. ­ (3 ­ 8a)
You can only combine like terms! 2(x­3y)
Aug 31­5:57 PM
More Practice
­3[x ­ 5(x + y)] ­2
Aug 20­2:28 PM
9(­2x + 7x2)
Aug 20­2:29 PM
Can you simplify this ADVANCED problem?
2bk ­ (5)2 + 8bk ­ 4b(k + 2)
Aug 20­2:28 PM
2
Lesson 2.4 Distributive Property.notebook
When reading a mathematical expression with parentheses out loud, whatever is in the parentheses is referred to as a quantity
September 12, 2012
Write an Expression:
Three times the quantity x minus
The product of x and 10
five
The sum of 5 and y
Negative 2 times the quantity t plus
seven
The quotient of 24 and z
The product of fourteen and the
quantity eight plus w
(3 8) ÷ (4 2)
the quantity four times two
The quantity three times eight
divided by
Sep 9­4:30 PM
Sep 9­4:30 PM
Homework #11
Pg 82 #15-21 odd, 25-33 odd,
39-46, 55, 63, 72
CHAPTER 2 TEST TUESDAY!
Sep 13­12:56 PM
3