Solving Quadratic Equations

Factoring

100

(x - 7)(x + 2) = 0

x = 7 x = -2

200

 x²+3x+2 = 0

x = -2 x = -1

300

x² - 6x + 5 = 0

x = 5 x = 1

400

x² - 6x - 27 = 0

x = 9 x = -3

500

 2x² - 5x - 3 = 0

x = -1/2 x = 3

Square Roots

100

 x² = 4

x = 2 x = -2

200

x² = 121

+11 or -11

300

 4x² = 400

x = 10 x = -10

400

 x² -9 = -8

1 or -1

500

 5x² + 3 = 128

x = 5 x = -5

Identify a, b, c

100

What is the value of a?  

x²+6x-10=0

a=1

200

What is the value of b?    

x² - 3x + 2 = 0

b = -3

300

What is the value of c?    

x²+4x = -10

c = 10

400

What is the value of b?   

-3x² + 10x - 4 = 3x + 2

b = 7

500

What is the value of c?    

x² + 6x - 10 = -2x + 4 - 5

x = -9

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

x² + 6x + 5 = 0

x = -1 x = -5

300

x² - 9x + 20 = 0

x = 5 x = 4

400

2x² + 9x + 4 = 0

x = -1/2 x = -4

500

4x² - 17x - 15 = 0

x = 5 x = -3/4

Random Review

100

Solve the equation for x. 

-3x + 10 = 19

x = -3

200

Solve the equation for x. 

-5(x + 2) = 20

x = -6

300

A square has a side length of 5 feet. Find the perimeter of the square. 

P = 20 feet

400

A triangle has a height of 3 inches and a base of 10 inches. Find the area of the triangle. 

A = 15 in²

500

Solve the equation 

3x + 9 = 5(x - 10) 

x = 29.5