Embed Size (px)
DESCRIPTION
copyright©amberpasillas2010 I am going to show you 2 ways to solve this expression. Distributive Property Same answer! Order of Operations Let’s see if it works the same way for subtraction!
Citation preview
copyright©amberpasillas2010
Review Day!
copyright©amberpasillas2010
a(b c)
a(b c)
or
a b a c
a b a c
copyright©amberpasillas2010
3(4 5)3(9)
27
I am going to show you 2 ways to solve this expression.
Distributive Property
3(4)12 15
27Same answer!
Order of Operations3(4 5)
3(4 5)3(5)
Let’s see if it works the same way for subtraction!
copyright©amberpasillas2010
5(10 3)5(7)
35
I am going to show you 2 ways to solve this expression.
Distributive Property
5(10)50 15
35Same answer!
Order of Operations5(10 3)
5(10 3)5(3)
copyright©amberpasillas2010
4(x 2)
So you are probably thinking why use the Distributive Property when Order of Operations is easier? Just watch!Distributive Property
4(x)4x 8
Order of Operations4(x 2)
4(2)You can’t add x + 2 because they are different terms!Why use the Distributive Property?
It helps you simplify when letters are used!
copyright©amberpasillas2010
80 + 3
44(80 + 3) 4(80) + 4(3)
4•83= 320 + 12= 332
x + 4
55(x + 4) 5(x) + 5(4) = 5x + 20
The Distributive Property helps with mental math!
Use the distributive property to simplify.1) 2(x + 8) 2) 3(a - 8)
3) -7(8 - m) 4) 4(5- a)
5) (10 - k)5 6) x(y + z)
2x + 16 3a - 24
-56 + 7m 20 - 4a
50 - 5k xy + xz
copyright©amberpasillas2010
Identity Property of Additiona 0 a Identity remains the sameZero is called the additive identity
Identity Property of Multiplicationa 1 a
Identity remains the sameOne is called the multiplicative identity
copyright©amberpasillas2010
Name the property shown below.1) (6 + 3) + 1 = (3 + 6) + 1
2) 10 (8 3) (10 8) 3
Commutative Property of Addition
Associative Property of Multiplication
Flip-FlopOrder doesn’t matter
Re-Grouping
copyright©amberpasillas2010
Terms:Numbers and/or variables tied togetherby multiplication or division but separated by addition or subtraction.
How many terms?
26x7x 3y 4abc k 2m
6 terms
copyright©amberpasillas2010
Coefficient:The number preceding the variable in a variable term.
How many coefficients?
26x7x 3y 4abc k 2m
5 coefficients
1
The number IN FRONT OF THE VARIABLE
copyright©amberpasillas2010
Constant:
The numerical terms. (NUMBERS ONLY)
How many constants?
26x7x 3y 4abc k 2m
1 constant
1
The numbers WITH NO VARIABLES!
copyright©amberpasillas2010
You can use what you have learned about properties when
combining like terms.
copyright©amberpasillas2010
1) 7(x + 4) + 2x 2) 5x + 3(x + 1)
7x + 28 + 2x
9x + 28
5x + 3x + 3
8x + 3
Simplify each expression by using the Distributive Property and combining like
terms.
copyright©amberpasillas2010
Simplify each expression by using the Distributive Property and combining like
terms.3) a + 2(4 + a ) - 1a + 8 + 2a - 1
3a + 7
4) 3(b - 2) + 6b3b - 6 + 6b
9b - 6
copyright©amberpasillas2010
Take Out Your Study Guide!!!
copyright©amberpasillas2010
Coefficient: The number in front of the variable.
Ex: 3x -2y m 7 2x
y23
2m1
#7
5 Coefficients
Terms: The numbers and variables separated by addition & subtraction.
Ex: 3x + 2y – 8 3 TermsConstant: The numerical terms.
Ex: 5x + 9 – 6 2 Constants
copyright©amberpasillas2010
Like Terms Unlike Terms3 5 3 x
10x -2x 210x -2x2 2x 8x 2 3x 8x
Like Terms and Unlike TermsTerms in an expression are like
terms if they have identical variable parts.
#8
8 8x 2 9x1
