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

Square roots ( )

100

Solve the following quadratic equation (x - 6)² = 1

x = 7, x = 5

200

Solve the following quadratic equation (x + 3)² = 4

x = -1 x = -5

300

Solve the following quadratic equation 3(x+1) = 27

x = -4 x = 2

400

Solve the following quadratic equation (x - 5)² = 3

x = 5 + square root of 3

x = 5 - square root of 3

500

Solve the following quadratic equation (x + 2)²/5 = 5

x = 3 x = -7

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 = 0

x = 5 x = -3/4

Find The Vertex

100

What number would you factor out? 

2x² + 10x + 12

What is 2?

200

State the standard form after you factor the GCF of 

3x² - 9x -12

What is 3(x² - 3x - 4)

300

State the standard form of the equation after factoring out the GCF 0=-5x²+10x+15

What is -5(x² - 2x - 3)

400

Factor completely 2x² -2x - 40

what is x = 5, x = -4

500

Factor completely 3x² - 9x - 12 =0

what is x = -1, x= 4