Factoring
Square Roots
Completing the Square
Quadratic Formula
Discriminant
100

Solve by Factoring. 

x^2 - 3x - 54 = 0

What is x=-6 and x=9

100

Solve for x.

x^2 = 144

What is x=12 and x=-12

100

Solve by Completing the Square. 

x^2 + 6x +8 = 0

What is x= -4 and x=-2

100

Solve using the Quadratic Formula. 

x^2 + 4x + 3 = 0

What is x=-3 and x=-1

100

How many solutions will the equation have? 

x^2 +4 = 4x

What is 1 rational solution.

200

Solve by Factoring. 

2x^2 + 9x +10 = 0

What is x=-5/2 and x=-2

200

Solve by taking the Square Root.

x^2 = 75

Leave answer in exact form but simplified.

What is x=5√3 or x=-5√3

200

Solve by Completing the Square. 

x^2 + 10 = -10x

What is x=-5+√15 and x=-5-√15

200

Solve by using the Quadratic Formula. 

3x^2 + x - 10 = 0

What is x=-2 and x=5/3

200

How many solutions will the equation have? 

-5 = x(x+6)

What is 2 solutions.

300

Solve by Factoring. 

4k=12k^2

What is k=0 and k=1/3

300

Solve by taking the Square Root. 

x^2 + 4 = 0

What is x=2i and x=-2i

300

Solve by Completing the Square. Leave in exact form.

x^2 - 3x = 7

What is x=

(3+√37)/2

and x=

(3-√37)/2

300

Solve by using the Quadratic Formula. 

x^2 = 8x - 25

What is x=4+3i and x=4-3i

300

How many solutions and what type will the equation have? 

3 + 2x^2 - 7x =0

What is 2 real rational solutions.

400

Solve by Factoring. 

x^3 + 3x^2 - 16x - 48 = 0

What is x=-4 and x=-3 and x=4

400

Solve by taking the Square Root. Leave answer in exact simplified form.

2x^2 - 11 = 25

What is x=3√2 or x=-3√2

400

Solve by Completing the Square. 

x^2 + 12 = 7x

What is x=3 and x=4

400

Solve by using the Quadratic Formula. 

x(x-4) = -22

What is x=2+3i√2 and x=2-3i√2

400

How many solutions and what type will the equation have? 

2x^2 - 4x - 5 = 0

What is 2 real irrational solutions.

500

Solve by Factoring. 3x-16 = x(x-7)

What is x=2 and x=8.

500

Solve by taking the Square Root. Leave answer in a+bi form.

(x-14)^2 + 5 = 0

What is x=

14-sqrt(5)i

and x=

14+sqrt(5)i

500

Solve by Completing the Square. (x-4)(x+10) = -17

What is x=-3+4√2 and x=-3-4√2

500

Solve by using the Quadratic Formula. 

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

What is x=

3/2+sqrt(11)/2 i

and x=

3/2-sqrt(11)/2 i

500

How many solutions will the equation have? 

10x^2 - 9x +3 = 0

What is zero real solutions/2 complex solutions.

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