Fraction Fighters
Cancel Culture
Equation Escape
Long Division Survivors
Asymptote Adventures
100

The simplified form of 4/(x+2)+x/(x-3) 

What is  (x^2+6x-12)/(x^2-x-6) ?

100

The simplified form of   (x²−9)/(2x) · (4x²)/(x+3) , where x is not 0 or -3. 

What is  2x(x−3) ?

100

The values of x that satisfy   (2x−3)/x = (x+2)/5 ?

What is x =3 and 5

100

The quotient of  (3x²+7x) ÷ (x+2) 

What is  3x+1 − 2/(x+2) ?

100

The vertical asymptote of  f(x)=7/(2x-5) 

What is x= 5/2 ?

200

The simplified form of (2x+1)/(x-4) - 3/(x+1) 

What is  (2x^2+13)/(x^2-3x-4) 

200

The simplified form of  (x²−25)/x² ÷ (x−5)/(x²+x) 

What is  {(x+1)(x+5)}/x ?

200

The solutions to  (x+1)/(x+3) = 1/(x+2) ?

What is 

x = −1+√2 and x = −1−√2?

200

The remainder when  3x^2+5x-4 is divided by x-1

What is 4?

200

The value of x where  f(x)=(x+4)/(x+7) where f(x) is discontinuous

What is x=7?

300

The simplified form of  (3x)/(x+5)+(x-2)/(x-5) 

What is  (4x^2-12x-10)/(x^2-25) ?

300

The simplified form of  

 [((x²−4x+4)⁻²)/ ((x−1)⁻¹)] ÷ [((x−2)⁻² )/ ((x−1)⁻¹)]

 

What is  1/((x−2)²) ?

300

What is the extraneous solution when solving  x/(x−3) − 2/(x+1) = 8/(x²−2x−3) ?

What is x = 3?

300

The equivalent expression to  (5x³+3x+2) ÷ (x+1) 

What is  5x²−5x+8 − 6/(x+1) 

300

The equivalent expression to  (3x²−12)/(x−2) 

What is 3x+6

400

The simplified form of  (4x+3)/(x-2)-(x+1)/(x+3) 

What is  (3x^2+16x+11)/(x^2+x-6) ?

400

Simplify p(x)/q(x) where p(x) =  (x²−6x+9)/(x²−1) and q(x) =  (x²−9)/(x+1) , where x≠±1 and x≠±3.

What is  (x−3) / [(x−1)(x+3)] ?

400

What is the error, if any, when a student solves   (x+2)/(x−1) = (x−3)/(x+2) and gets x=  -1/8 .

What is no error. 
400

The quotient of  (2x³+x²) ÷ (x+1) 

What is  2x²−x+1 − 1/(x+1) ?

400

The vertical asymptote for  f(x)=6/(5x+10) 

What is x=-2?

500

The simplified form of  (2x+5)/(x-1)-(x+1)/(x+3) 

What is  (3x+10)/(2x-1) 

500

The simplified form of  (x²−16)/(3x²) · (6x³+24x²)/(x−4) , where x≠0 and x≠4. 

What is   2(x+4)² ?

500

The solutions to  (4x−1)/(3x+6) = (5x−2)/(4x+3) 

What are  8+-sqrt(55) 

500

The equivalent expression to   (2x³−3x+10) ÷ (x+2) 

What is  2x²−4x+5  ?

500

The value of x that makes  g(x)=(x-5)/(x^2-54x+729) discontinuous

What is x=27?

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