Rational Equations (NG)

Simplifying

100

(x^2-9)/(x^2-5x+6)

(x+3)/(x-2)

200

(x^3-4x)/(x^3+4x^2+4x)

(x-2)/(x+2)

300

(x^2+3x-10)/(4-x^2)

-(x+5)/(2+x)

400

(3x^2-12x)/(x^2-16)

(3x)/(x+4)

500

(x^3+3x^2-x-3)/(x^2+4x+3)

x-1

Multiplying/Dividing

100

(x^2-5x+6)/(x^2-9)times(x+3)/(x-2)

1

200

(x^2+2x-8)/(x^2-1)div(x+4)/(x+1)

(x-2)/(x-1)

300

(x^2-9)/(2x-4)times(x^2-4)/(x^2-x-6)

(x+3)/2

400

(3x^2-12)/(x^2-x-12)div(6x+12)/(2x-8)

(x-2)/(x+3)

500

(x^2-2x-15)/(x^2-9)times(x^2-3x)/(x^2-25)

x/(x+5)

Adding/Subtracting

100

(3x+1)/(x-2)+(x-9)/(x-2)

4

200

5/(x+3)-2/x

(3x-6)/(x(x+3))

300

x^2/(x^2-1)-(x+2)/(x^2-1)

(x-2)/(x-1)

400

x/(x-3)-18/(x^2-9)

(x+6)/(x+3)

500

(2x)/(x-1)-4/(x^2-1)

(2(x+2))/(x+1)

Complex Fractions

100

(2/x)/(4/x^2)

x/2

200

(1+1/x)/(1-1/x^2)

x/(x-1)

300

(3/(x-2))/(1/x+2/(x-2))

(3x)/(3x-2)

400

(4/(x^2-9))/(2/(x+3)-1/(x-3))

4/(x-9)

500

(3/x-2/x^2)/(9/x-4/x^3)

x/(3x+2)

Equations

100

4/(x+2)=2/(x-1)

x=4

200

x/(x+2)+3/x=1

x=-6

300

x/(x-1)+1/(x+2)=3/(x^2+x-2)

x=-4

400

(2x)/(x-4)-3/(x+1)=15/(x^2-3x-4)

x=3/2

500

x/(x-2)+1/(x-4)=2/(x^2-6x+8)

x=-1

Random

100

What can travel around the world while staying in the exact same corner?

A stamp

200

I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I?

A map

300

Name the 4 NBA that don't end with the letter "S"

Jazz, Heat, Thunder, Magic

400

What is unique about the number 8,549,176,320?

It lists the numbers 0-9 in alphabetical order.

500

She said where'd you wanna go? How much ______________? I'm not looking for ____________________________. Some superhero, some ____________________.

"You wanna risk?"

"Somebody with some super human gifts."

"Fairy tail bliss"