Expand and Simplify
Properties of Parabolas
Factoring
Solving Quadratic Equations
Special Cases
100

Expand and simplify the following 

3(x2+x+1) - (2x2+5x-7)


what is x2 - 2x + 10

100

What direction would a parabola open if it has a negative "a" value?

What is "downward"

100

Fully factor the following

12yx3 -  16 y2x2

what is 4yx2(3x - 4y)

100

Solve the following quadratic equation 

(3n − 2)(4n + 1) = 0

what is n=2/3 and n=-1/4

100

Expand and simplify the following 

(x+5)(x-5)

what is x2-25

200

Expand and simplify the following 

-2(3x+1)(4x-3)

what is -24x2 +10x + 6

200

What is the axis of symmetry for a parabola that has the following roots (-1,0) (3,0)?

what is x = 1

200

Fully factor the following 

2x2+3xy-10x-15y

what is (x-5)(2x+3y)

200

Solve the following quadratic equation 

5x(x-4)= 0

what is x=0 and x=4

200

Fully factor the following 

81x2 - 25

what is (9x-5)(9x+5)

300

Expand and Simplify the following 

3(x-1)(x+7)+(2x+5)2

what is 7x2 + 38x + 4 

300

What is the vertex of the following quadratic equation

y = 2(x+3)(x-1)

what is (-1,-8)

300

Fully factor the following 

k- 4k - 60

what is (k-10)(k+6)

300

Solve the following quadratic equation 

3k2+72=33k  

what is k=8 and k=3

300

Fully factor the following 

100x2 - 60x + 9


what is (10x - 3)2

400

Put the following equation in Standard form

y=7(3x+2)(5x-8)

what is y = 105x2 - 98x - 112

400

What is the maximum value of the quadratic equation

y = (x-2)(x-4)

What is -1

400

Fully factor the following 

25x2 - 70x + 40

what is 5(x-2)(5x - 4)

400

Solve the following quadratic equation 

a= -4a -4

what is a=-2

400

Fully factor the following 

2x4 - 7x2 - 4

what is (2x2 + 1)(x+2)(x - 2)

500

Put the following equation in Standard Form. 

y= (5x-6)2-(x+7)(x-10)+3(x+2)(x-2)

what is y = 27x2 - 57x + 94

500

What is the equation for the following parabola in factored form if its roots are (-1,0) (7,0) and the vertex is (3,-32)? 

what is y = 2(x + 1)(x - 7)

500

Put the following equation in factored form

y= -8x2 - 66x - 70

what is y = -2(x+7)(4x + 5)

500

Solve the following quadratic equation 

7a+ 32 = 7 -40a



what is a=-5/7 and a=-5

500

Fully factor the following 

16x8 + 15x-1

what is (x4 + 1)(4x2+1)(2x - 1)(2x+1)