Solving Quadratic Equations

Factoring

100

Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

200

Solve the following quadratic equation by factoring. x²+3x+2 = 0

x = -2 x = -1

300

Solve the following quadratic equation by factoring.

 x² - 6x + 5 = 0

x = 5 x = 1

400

Solve the following quadratic equation by factoring. 

x² - 6x - 27 = 0

x = 9 x = -3

500

Solve the following quadratic equation by factoring.

 2x² - 5x - 3 = 0

x = -1/2 x = 3

Square Roots

100

Solve the following quadratic equation by using square roots:

 x² = 4

x = 2 x = -2

200

Solve the following quadratic equation by using square roots:

 x² = 121

+11 or -11

300

Solve the following quadratic equation by using square roots:

 4x² = 400

x = 10 x = -10

400

Solve the following quadratic equation by using square roots:

 x² -9 = -8

1 or -1

500

Solve the following quadratic equation by using square roots: 

5x² + 3 = 128

x = 5 x = -5

Find the line of symmetry

100

Find the line of symmetry:

 x² + 6x = -8

x=-3

200

Find the line of symmetry:

 x² - 6x = -5

x=3

300

Find the line of symmetry: 

x² - 2x - 24 = 0

x =1

400

Find the line of symmetry: 

x² + 10x +16 = 0

x = -5

500

Find the line of symmetry:

 2x² - 8x = 10

x =2

More Square Roots

100

Solve by taking square roots:  

x²=24

+/-2 root 6

200

Solve by taking square roots:  

x²=200

+/-10 root 2

300

Solve by taking square roots: 

 x²=-16

No real solution

400

Solve by taking square roots: 

 x²=800

+/- 20 root 2

500

Solve by taking square roots:

 6 x²+14=398

+/-8

Find The Vertex

100

Find the vertex of 

f(x)=-x²+8x-15

(4,1)

200

Find the vertex of

 f(x)=x²-2x

(1,-1)

300

Find the vertex of 

f(x)=2x²-8x+3

(2,-5)

400

Find the vertex:

f(x)=-x²-4x

(-2,4)

500

Find the vertex of

 y=5x²-10x+1

(1,-4)