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!!