Simplifying Rational Expressions
Solving Rational Functions
Graphing Rational Functions
Multiply & Divide Rational Functions
Add & Subtract Rational Functions
100

Simplify the rational expression. 

(x^2+5x-14)/(x^2-4x+4)

(x+7)/(x-2)

100

Solve the equation. 

5/x=7/(x+2)

x=5

100

What is the equation of the vertical asymptote?

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

x=3

100

Multiply and simplify. 

(80x^4)/(y^3) *(xy)/(5x^2)

(16x^3)/y^2

100

Subtract the expressions and simplify.

3/(4x) - 1/7

(21-4x)/(28x)

200

Simplify the rational expression.

(x^2-9x+14)/(x^2-5x-14)

(x-2)/(x+2)

200

Solve the equation. 

(x-4)/(x-1)=10/(x+7)

x=-2, 9

200

What is the equation of the horizontal asymptote?

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

y=-1

200

Multiply and simplify:

(6x^2-18x)/(x^2-10x+21) * (x^2-14x+49)/(3x^2)

(2(x-7))/x

200

Add the expressions and simplify. 

12/(5x)+7/(6x)

107/(30x)

300

Simplify the rational expression. 

(x^2-36)/(x^2+12x+36)

(x-6)/(x+6)

300

Solve the equation. 

(x+12)/3=(2x+3)/(x+2)

x= -5, -3

300

Graph the function.

f(x)=1/(x-3)+4

300

Divide and simplify. 

(5x^2y^3)/(x^7) div (30xy^4)/(y^3)

y^2/(6x^6)

300

Find the Least Common Multiple (LCM): 

x^2-x-6

x^2-9

(x+3)(x-3)(x+2)

400

Simplify the rational expression. 

(2x^2+2x-4)/(x^2-5x-14)

(2(x-1))/(x-7)

400

Solve the equation.

1/(x+6)+(x+1)/x=13/(x+6)

x=2,3

400

f(x)=3/(x-1)-2

a) Graph the function. 

b) State the domain and range. 


domain: 

x!=1

range: 

y!=-2

400

Multiply and simplify.

(x-3)/(2x-8) * (6x^2-96)/(x^2-9)

(3(x+4))/(x+3)

400

Add the expressions and simplify. 

x/(x^2-x-12) + 5/(12x-48)

(17x+15)/(12(x-4)(x+3)

500

Simplify the rational expression.

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

 

(x-2)

500

Solve the equation.

(3x)/(x+1)+6/(2x)=7/x

x=-2/3, 2

500

a) Find both the horizontal and vertical asymptotes.

b) Graph the function.

f(x)=3/(x+8)-3

horizontal asymptote: y=-3

vertical asymptote: x=-8

500

Divide and simplify.

(3x+27)/(6x-48) div (x^2+9x)/(x^2-4x-32)

(x+4)/(2x)

500

Subtract the expressions and simplify.

(x^2-5)/(x^2+5x-14) - (x+3)/(x+7)

(-x+1)/((x+7)(x-2)

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