Solve Using GCF
Solve by Factoring
Solve by Square Roots
Challenges
Writing of Equations of Quadratic Functions
100

Solve by GCF Factoring:

2x - 10 = 0

5

100

Solve the Quadratics by Factoring


x2+2x-3=0

-3,1

100

Solve the equation by taking the square root : 

x2-9=0

x = plus or minus 3

100

Solve by using the Quadratic Formula 

x2 - x - 12 = 0

4 and -3

100

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

(-3,-1)

200

Solve by GCF Factoring:

4x- 8x = 0

0 and 2

200

Solve the Quadratics by Factoring 

x2-10x+16

2, 8

200

Solve the equation by taking the square root : 

7x2-63=0

x = plus or minus 3

200

Solve by using the Quadratic Formula 

x2 + 15x = 6x

0 and -9

200

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

(-9,0) (6,0)

300

Solve by GCF Factoring:

3x2 = 27x

0 and 9

300

Solve the Quadratics by Factoring


n2-n=2

2 and -1

300

Solve the equation by taking the square root : 

x2+9=13

x = +2 and -2

300

Solve by Factoring:

3x2+22x+35=0

x = -5 , -7/3

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

Solve by Factoring:

2x- 32 = 0

4 and -4

400

Solve the Quadratics by Factoring


x2-5x+6=0

2 and 3

400

Solve the equation by taking the square root : 

x2-16=0

x = 4 and -4

400

Solve by Factoring

2x2 - 7x = 9

x = -1, 9/2

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

Solve by Factoring:

2x2 - 12x - 54 = 0

9 and -3

500

Solve the Quadratics by Factoring


4x2-32=8x

4 and -2

500

Solve the equation by taking the square root : 

x= 225

x = plus or minus 15

500

Solve by using the Quadratic Formula 

x+ 4x + 20 = 0

No Solution

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

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