READY TO USE YOUR
TALENT TODAY?…
WE AREPOISED
AND
READY!…
YES!!
DON’TFORGET US!WE ARE GOING TOFOLLOW ALONG WITH YOU!
METOO!
….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….
..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.
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
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?..
….IT WAS ANOTHER
SLAM FOR ME!
….I NEEDED A
HANDUP ON THAT ONE….
THANKS!READY FOR A CHALLENGE ?….
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!!
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
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,
YOU
GOCHILD!!NO
STOPPINGME NOW!!