Alg. 2 Rational Expressions

Multiplying and Dividing Rational Expressions

100

This is the domain of the rational expression:  (5x^2-3)/(x-1) 

What is 

x!=1

200

This is the domain of the rational expression : (8x-3)/(x^2-5x+6) 

What is 

x!=2,3

300

This is the simplified version of  (2x^2)/(10x^3-2x^2) 

What is 

1/(5x-1)

400

This is the product of  (1+3n)/(2n)cdot(2n-4)/(3n^2-2n-1) 

What is 

(n-2)/(n(n-1))

500

This is the quotient of:  (6y^3)/(3y^2-27)-:(42)/(3-y) 

What is 

-(y^3)/(21(y+3)

Adding/Subtracting Rational Expressions

100

This is the difference of  (x^2)/(x+7)-(49)/(x+7) 

What is 

x-7

200

This is the sum:  3/(x+2)+(2x)/(x-2) 

What is 

(2x^2+7x-6)/((x+2)(x-2))

300

This is the difference of  (2x)/(x^2-9)-3/(x^2-4x+3) 

What is 

(2x^2-5x-9)/((x+3)(x-3)(x-1)

400

This is the sum of  x/(25-x^2)+2/(3x-15) 

What is 

(-x+10)/(3(x-5)(x+5)

500

This is the result of  2/(x-2)+(3x)/(x^2-x-2)-1/(x+1) 

What is 

4/(x-2)

Complex Fractions

100

This is the simplified form of  (6x)/(x-5)/(12)/(x+5) 

What is 

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

200

This is the simplified form of  (5x)/(x+2)/(10)/(x-2) 

What is 

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

300

This is the simplified form of  (x/(y^2)-1/y)/(y/x^2-1/x 

What is 

-(x^2)/y^2

400

This is the simplified form of  (2x^-1+3y^-1)/(x^-1-2y^-1 

What is 

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

500

This is the quotient of  (5-3x^-1)/(2+(3x)^-1 

What is 

(15x-9)/(6x+1)

Potpourri

100

This is the domain of  (2x+4)/11 

What is all real numbers

200

This is the domain of  (x^3+2)/(x^2+8x) 

What is 

x!=0,-8

300

This is the difference of  x/(9-x^2)-2/(5x-15) 

What is 

(-7x-6)/(5(x-3)(x+3)

400

This is the quotient of  (2x-x^2)/(x^3-8)-:x^2/(x^2+2x+4) 

What is 

-1/x

500

This is the quotient of  (x/3-3/x)/(1+3/x) 

What is 

(x-3)/(3)