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Today:
 Review: Rational Expressions
& Equations
 Complex Fractions
 Test: Simplifying Rational
Expressions
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
 ...
Excluded
Values:
Multiplication &
Division:
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

Multiplicati...
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(
...
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
...
Equations:
Complex
Fractions:
Need:
Pencil
Scratch Paper
Correct Code
No Phones,
Calculators
not necessary
June 5, 2014
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June 5, 2014

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June 5, 2014

  1. 1. Today:  Review: Rational Expressions & Equations  Complex Fractions  Test: Simplifying Rational Expressions
  2. 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. 3. Excluded Values:
  4. 4. Multiplication & Division:
  5. 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. 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. 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. 8. Equations:
  9. 9. Complex Fractions:
  10. 10. Need: Pencil Scratch Paper Correct Code No Phones, Calculators not necessary

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