ready to use your

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!!