Transcript Lesson 5.3

Bellringer
Simplify
1.
4 5
(x )  x
2.(3a
3.
45
x
20
)  (3 )  (a )  3 a  9a
2 2
4
1 2
2 2
2
4
 a  (a )
a
a
 4   4 4  44  16
b
b
 b  (b )
3
3 4
34
12
4
5.3 Multiplying and Dividing
Monomials
What is a monomial?
 An expression that can be a
number, a variable, or a
product of numbers and
variables with exponents
Examples of Monomials
4x
3
 7ab
2
2x y
NOT Monomials
1
y
x 4
2
y  2y  4
2
Multiply.
(3 x)(4 x)
(3  4)  ( x  x )
1
11
12 x
12 x
2
1
Multiply.
(3 x )( x)
2
(3 x )(1x)
2
(3  1)  ( x  x )
2
 3x
21
 3x
3
1
Multiply.
(7 x y )(4 xy )
2
5
3
(7  4)  ( x  x )  ( y  y )
2
 28 x
1
5
21 53
y
 28 x y
3
8
3
Multiply.
(4m )(2m )(m)
2
2
(4  2  1)  (m  m  m )
2
 8m
2 21
 8m
5
2
1
Multiply.
(3a )(4a )(a )
2
4
(3  4  1)  (a  a  a )
1
1 2 4
12a
12a
7
2
4
Divide.
5
x
2
x
5 2
x
x
3
Divide.
2
4x
7
16 x
2
 4   x  1 27 1 5
    7   x  x
4
 16   x  4
1 1
1
 5 5
4 x
4x
Divide.
5 12
8x y
3 10
 2x y
 8  x  y 

   3    10 
2  x   y 
5
 4x
12
53 1210
y
 4x y
2
2
Divide.
3 5
9a b
2 3
3a b
3
5
9  a  b 
    2    3 
3  a  b 
3 2 53
3a b
1 2
3a b
Assignment

Pg. 215 #’s 2-12 even, 22, 24, 28-36 even