Rational Jeopardy(First Round)

Factoring (Basic)

100

Factor: 5x-20

5(x-4)

200

Factor: x²+7x+10

(x+5)(x+2)

300

Factor: x²-8x-33

(x+3)(x-11)

400

Factor: 5x+6

Not Factorable

500

Factor:x²-25

(x+5)(x-5)

Factoring (Advanced)

100

Factor: 6x-15

3(2x-5)

200

Factor: 8x²+16x

8x(x+2)

300

Factor: 3x²+18x+15

3(x+1)(x+5)

400

Factor: x³-12x²+32x

x(x-4)(x-8)

500

Factor: 3x²+x-4

(3x+4)(x-1)

Simplify

100

Simplify: 

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

(x+2)/(x+3)

200

Simplify: 

(x^2+14x+45)/(x^2+3x-10)

(x+9)/(x-2)

300

Simplify: 

(4x-16)/(x^2-6x-40)

(4(x-4))/((x+4)(x-10))

400

Simplify: 

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

(x+6)/(x-6)

500

Simplify: 

(y^3+10y^2+21y)/(y^2+7y)

(y+3)/1

Multiply

100

Multiply: 

(x^2+6x+8)/(x^2+4x+3)*(x+3)/(x+2)

(x+4)/(x+1)

200

Multiply: 

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

(x+2)/(x-3)

300

Multiply:

(y^2-16)/(y^2-10y+25)*(y^2-3y-10)/(3y-12)

((y+4)(y+2))/(3(y-5))

400

Multiply: 

(x+y)^2/(x+y)*(5x-5y)/(x^2-y^2)

5

500

Multiply: 

(4x^2-81)/(x^2-81)*(x^2-18x+81)/(2x^2+9x-81)

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

Divide

100

Divide: 

(2x^2-12x)/(x+5)÷(x-6)/(x+5)

2x

200

Divide: 

(1)/(x^2+9x)÷(x-6)/(3x^2-18x)

3/(x+9)

300

Divide: 

(x^2-1)/(x^2+3x-4)÷(x+1)/(x+4)

1

400

((x-y)^2)/(x+y)÷(3x+3y)/(x^2-y^2)

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

500

Divide: 

(25x^2-4)/(x^2-9)÷(5x-2)/(x+3)

(5x+2)/(x-3