H Alg 1 - Solving Quadratics

Solve Using GCF

100

Solve:

2x - 10 = 0

x= 5

200

Solve :

4x² - 8x = 0

x= 0 or x=2

300

Solve:

3x² -27x= 0

x= 0 or x= 9

400

Solve:

2x² -4x - 32 = - 4x

x=4 or x= -4

500

Solve:

2x² - 12x - 54 = 0

x = 9 or x= -3

Solve by Factoring

100

Solve:

x²+2x-3=0

x = -3 or x = 1

200

Solve:

x²-10x+16 = 0

x = 2 or x = 8

300

Solve:

n²-n=2

x = 2 or x = -1

400

Solve:

x²-5x+6=0

x = 2 or x = 3

500

Solve:

4x²-32=8x

x = 4 or x = -2

Solve by Square Roots

100

Solve: 

x²-9=0

x=\pm3

200

Solve : 

7x²-63=0

x=\pm3

300

Solve: 

x²+9=13

x=\pm2

400

Solve: 

x²-16=0

x=\pm4

500

SolveP 

5x² -1125=0

x = \pm15

Challenges

100

Solve:

x² - x - 12 = 0

x= 4 or x= -3

200

Solve:

x² + 15x = 6x

x= 0 or x = -9

300

Solve:

3x²+22x+35=0

x = -5  or x= -7/3

400

Solve:

2x² - 7x = 9

x = -1 or x = 9/2

500

Solve:

x² + 4x + 20 = 0

No Solution

Writing of Equations of Quadratic Functions

100

Given the equation y=2(x+3)^2-1 ,what is the vertex?

(-3,-1)

200

Given the equation f(x)=a(x+9)(x-6), what are the x-intercepts?

(-9,0) (6,0)

300

Find the MAXIMUM height of the object AND the time it takes to reach the MAXIMUM height. Use the equation from question 200: h=-16t^2+96t+3

After 3 seconds the object is 147ft high.

400

Suppose the hotel has a revenue of

R(x)=120x-4x^2

  where X is the number of rooms rented. How many rooms should be rented to MAXIMIZE the revenue?

15 rooms

500

A ball rolls down a slope and travels a distance

d=6t+1/2t^2

 feet in t seconds. Find when the distance is 17 feet.

2.367 seconds