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

Vertex Form

100

Solve the following quadratic equation: 

0 = (x-2)² - 4

x = 4, x = 0

200

Solve the following quadratic equation:

0 = -2(x+1)² + 32

x = 3, x = -5

300

Solve the following quadratic equation: 

0 = -3(x-4)² + 27

x = 7, x = 1

400

Solve the following quadratic equation: 

0 = 0.5(x + 3)² - 2 

x = 5, x = -1

500

Solve the following quadratic equation:

0 = 3(x + 4)² + 48

No Real Solutions

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

Solve the following quadratic equation by using the quadratic formula: 

x² + 6x + 5 = 0

x = -1 x = -5

300

Solve the following quadratic equation by using the quadratic formula: 

x² - 9x + 20 = 0

x = 5 x = 4

400

Solve the following quadratic equation by using the quadratic formula: 

2x² + 9x + 4 = 0

x = -1/2 x = -4

500

Solve the following quadratic equation by using the quadratic formula: 

4x² - 17x = 15

x = 5 x = -3/4