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9/13/07
Warm up: Reduce
1.
y2 1 1 y y2 1 y3
( y  1)( y  1)
y3
y 2 ( y  1)
 3 




y
y
1 y
y
 1(1  y )
1
y
2.
x 2  10 x  25
x 2  10 x  25
1
( x  5)( x  5)
1
x5
x5 




x
x
x5
x
x5
x
Check / go over hmwk
Return quizzes / answer questions
NOTES: Adding and subtracting rational numbers
What do we NEED in order to add / subtract fractions?
Common denominator
4 3 7
 
~ + / - numerators, keep denominator the same
8 8 8
3 1
6
1
5 1
Ex.     
5 10 10 10 10 2
Ex.
To get common denominator, find lowest common multiple of both
Multiply both top and bottom by same factor to get common denom.
3x 6 x 9 x


5
5
5
x  3 4x  5 2x  6 4x  5 2x  6  4x  5  2x  1





2.
2
4
4
4
4
4
1.
Side note: two things to remember
 Get common denominator
 If subtracting, distribute negative through top of 2nd fraction
3.
2
3
4x 2
3
4x 2  3




5 x 2 10 x 4 10 x 4 10 x 4
10 x 4
Try OYO:
2 x  5 x  6 2 x  5 2 x  12 4 x  17




4
2
4
4
4
4 y  3 y  2 4 y  3 3y  6 4 y  3  3y  6 y  3
5.





3y
y
3y
3y
3y
3y
4
x
4  x  1(4  x)



 1
6.
x4 x4 x4
x4
4.
Homework: pg 362 #1-8
1.
5x
3b
3
2y
2.
3.
4.
8
3
10
8x
5.
1
4a
6.
5c
6
7.
ba
ab
8.
7
3