Rational Expressions/Equations

Find EV

100

4/(m-4)=(-5)/(m+2)

m cannot equal 4

m cannot equal -2

200

(2x/3)-(1/2)=(2x+5)/6

there are no EV

300

2/(a+3)-4/(a²-4)=(a+1)/(a²+5a+6)

a cannot be equal to -3

a cannot be equal to -2

a cannot be equal to 2

400

(x+8)/(x²-10x+21)=(x-5)/(x²-3x-28)

x cannot be equal to 3

x cannot be equal to 7

x cannot be equal to -4

500

10/(6x+7)=6/(2x+9)

x cannot be equal to -7/6

x cannot be equal to -9/2

Add/Subtract

100

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

1/x

200

(-3x)/(x²-9)+4/(2x-6)

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

300

(-5y)/(2y-1)-(y+3)/(2y-1)

[-3(2y+1)]/(2y-1)

400

x/(3x+9)-8/(x²+3x)

(x²-24)/[3x(x+3)]

500

(x+8)/(x²-10x+21)-(5)/(x²-3x-28)

[x²+7x+47]/[(x-3)(x-7)(x+4)]

Solve

100

x/5=(x+3)/8

x=5

200

(2x)/3-(1/2)=(2x+5)/6

x=4

300

4/(m-4)=(-5)/(m+2)

m=4/3

400

(y/5)+(y/2)=7

y=10/7

500

2/(a+3)-4/(a²-4)=(a+1)/(a²+5a+6)

a=6

Find CD

100

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

2x

200

2/(3x-5)=4/(x-15)

(3x-5)(x-15)

300

(y/5)+(y/2)=7

10

400

(x+8)/(x²-10x+21)=(x-5)/(x²-3x-28)

(x-3)(x-7)(x+4)

500

3/(5xy²)+2/(6x³y)

30x³y²

Add/Sub/Solve

100

(1/a)+(1/b)+(1/a²)

(a+a²+b)/(a²b)

200

6/(x²y)+3

3(2+x²y)/(x²y)

300

(4/p)+(1/3p)=(1/5)

p=65/3

400

(c+1)/(c-3)=4-[12/(c²-2c-3)]

c=5

c=-5/3

500

(1/5n)-(3/4)+(7/10n)

3(6-5n)/20n