1. Today:
 Review: Rational Expressions
& Equations
 Complex Fractions
 Test: Simplifying Rational
Expressions

2. 3
2
9
10 21
x x
x x

 
2
( 9)
( 7)( 3)
x x
x x

 
( 3)( 3)
( 7)( 3)
x x x
x x
 
 
( 3)( 3)
( 7)( 3)
x x x
x x
 
 
Simplifying:
( 3)
( 7)
x x
x



3. Excluded
Values:

4. Multiplication &
Division:

5. bd
ac
d
c
b
a

62
5
15
3



x
x
)62)(15(
)5)(3(



x
x
)3)(2)(15(
)5)(3(



x
x
3
)2)(3(
1

6
1

Multiplication &
Division:

6. Addition &
Subtraction:
2
4
1
2


 xx
)2)(1( 

xx
The denominators don’t
share any factors
)2(2 x )1(4  x
)2)(1(
6


xx
x
Find the LCD

7. Subtraction:
bd
bcad
d
c
b
a 

4
33
2
12 

 xx
)4)(2(
)33(2)12(4 

xx
8
6648 

xx
8
22 

x
8
)1(2 

x
4
4
1

x

8. Equations:

9. Complex
Fractions:

11. Need:
Pencil
Scratch Paper
Correct Code
No Phones,
Calculators
not necessary