Solving Quadratic Equations

Solve by Factoring

100

How many brothers does Mr. A have?

3

200

Solve: x²+3x+2 = 0

x = -2, x = -1

300

Solve: x² - 6x = -5 

x = 5, x = 1

400

Solve: x² - 3x = 0

x = 0, x = 3

500

Solve: 5x²+20x = -15

x = -1 and x = -3

Solve by Factoring #2

100

Solve: x² - 4 = 0

x = 2 x = -2

200

How many dogs does Mr. A have?

2

300

Solve: x²  + 5x + 6 = 0

x = -2 , x = -3

400

Solve: x² - 9x = -8

x=8 or x=1

500

What high school did Mr. A go to?

Jacobs :(

Solve by Factoring #3

100

Solve: x² + 6x = -8

x = -2 , x = -4

200

Solve: x² - 6x = -5

x = 1, x = 5

300

Solve: 2x² - 4x = 48

x = -4 x = 6

400

Solve: 2x² + 7x = -5 

x = -5/2  and  x= -1

500

Solve: x² - 7x = -12 

x = 3, x = 4

Key Features

100

Graph #1: What is the y-intercept?

(0, -3)

200

Graph #1: What is the x-intercept?

none

300

Graph #1: What is the vertex?

(1, -2)

400

Graph #1: What is the Axis of Symmetry?

x = 1

500

Graph #1: What is the range?

(-infinity, -2]

Key Features #2

100

Graph #2: What is the domain?

(-infinity, infinity)

200

Graph #2: Which way does the graph open?

Up

300

Graph #2: What is the vertex?

(-4, -1)

400

Graph #2: What are the x-intercepts?

(-5, 0) and (-3, 0)

500

Graph #2: What is the range?

[-1, infinity)