ready to use your
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READY TO USE YOUR. TALENT TODAY?…. YES!!. WE ARE. POISED. AND. READY !…. ME TOO!. DON’T FORGET US! WE ARE GOING TO FOLLOW ALONG WITH YOU!. …. TO SOLVE AND CHECK EQUATIONS CONTAINING RATIONAL EXPRESSIONS (i.e. fractions ). Example: Solve and Check ,. - PowerPoint PPT PresentationTRANSCRIPT
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READY TO USE YOUR
TALENT TODAY?…
WE AREPOISED
AND
READY!…
YES!!
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DON’TFORGET US!WE ARE GOING TOFOLLOW ALONG WITH YOU!
METOO!
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….TO SOLVE AND CHECK EQUATIONSCONTAINING RATIONAL EXPRESSIONS
(i.e. fractions)
Example: Solve and Check,
3 5 1
5 10 2 3
x
x x
Think Adding Fractions ---
What would you change the denominators to?
Possible answer: 5( )(2)(3) 30x xBut WAIT! ,… Don’t Change,…simply….
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..Multiply both sides of the equation by this lowest common denominator(L.C.D.)in order to
Clear All fractions!
3 5 130 30
5 10 2 3
xx x
x x
30 3 30 30 5 30 1
1 5 1 10 1 2 1 3
x x x x x
x x
Distribute,
Simplifies to, 218 3 75 10x x And,
23 10 57 0x x Now solve by Factoring or computer Program.
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By Factoring,
(3 19)( 3) 0x x 23 10 57 0x x
Then, x ,or x 19
3
3
Check, 3x in,
3 5 1
5 10 2 3
x
x x
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Checking, x = 3, in,3 5 1
5 10 2 3
x
x x
3 3 5 1
5(3) 10 2(3) 3 Becomes,
Then, 3 3 5 1
15 10 6 3
And, 15 3
30 6
Therefore, 1 1
2 2
CHECK!!
NOW…HOW DO
YOUFEEL?..
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….IT WAS ANOTHER
SLAM FOR ME!
….I NEEDED A
HANDUP ON THAT ONE….
THANKS!READY FOR A CHALLENGE ?….
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LIKELIVING
LIFEON THE
EDGE?
TRYTHIS ONE….HANG ON
TIGHT!…
2
5 7 2 14
20 5 4 9
x
x x x x
We’ll Help Each Other Reach the Summit!!
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Remember, Think…...Add Fractions..
2
5 7 2 14
20 5 4 9
x
x x x x
L.C.D. is ? 9( 5)( 4)x x Multiply by, and Simplify to…
214 76 62 0x x Common Factor and Reverse “FLIO”yields...
2(7 31)( 1) 0x x 31
4.4297
x
or, 1x NOW CHECK 1x
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If, 1x in,2
5 7 2 14
20 5 4 9
x
x x x x
2
5( 1) 7 2 14
( 1) ( 1) 20 1 5 1 4 9
Simplifies to,5 7 2 14
1 1 20 6 3 9
Then,
5 21 6 14
18 9
And,
8 8
9 9
CHECK!!
AREYOUPROUDOF ME MOM!?
Then,
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YOU
GOCHILD!!NO
STOPPINGME NOW!!