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GCF
Factoring
Solving
Complete the Square
Word Problems
100

What is the GCF of the following expression? 


3x+9

3

100

Factor the following expression: 


x2+10x+25

(x+5)(x+5) or (x+5)2

100

Find the zeros: 


x2-7x-18

{-2,9}

100

Change to vertex form: 


x2+4x+12

y = (x+2)2 + 8

100

A golfer takes a swing at a golf ball. The path his ball took is modeled by the equation -5x2+30x+0.05.


What is the initial height of the golf ball? 

0.05

200

What is the GCF of the following expression? 


16x2-32x

16x
200

Factor the following expression: 


x2-4

(x+2)(x-2)

200

Find the zeros: 


3x2+6x=0

{-2,0}

200

Change the vertex form: 


x2-6x+13

y = (x-3)2 + 4

200

A golfer takes a swing at a golf ball. The path his ball took is modeled by the equation -5x2+30x+0.05. 


What is the maximum height the ball reaches? 

45.05

300

Factor out the GCF: 


4x4-16x3+40x2

4x2(x2-4x+10)

300

Factor the following expression: 


5x2-x-18

(5x+9)(x-2)

300

Find the roots: 


5x2+12x-4=30x-13

{3/5,3}

300

Change to vertex form and state the vertex: 


x2-7x-44

y = (x-3.5)2 - 56.25


(3.5, -56.25)

300

A golfer takes a swing at a golf ball. The path his ball took is modeled by the equation -5x2+30x+0.05.


How long was the golf ball in the air? 

6.002 seconds 

400

Factor out the GCF: 


12x3+3x2-3x

3x(4x2+x-1)

400

Factor the following expression: 


2x2+14x-36

2(x-2)(x+9)

400

Find the roots: 


4x2-x=5

{-1,5/4}

400

If I change the equation from standard to vertex form, what is the value of h? 


x2-6x-2

3

400

A volleyball player hits the ball over the net. The path of the ball is modeled by the equation -16x2+24x+3. 

How long does it take the ball to reach the maximum height? 

0.75 seconds 

500

Factor out the GCF of the following expression: 


14x2y5+49x6y3

7x2y3(2y2+7x4)

500

Factor the following expression: 


6x2+28x+18=-12

2(x+3)(3x+5)

500
Find the zeros: 


-4=-3x2-x

{-4/3,1}

500

Change to vertex form and state the vertex: 


x2+14x-24=71

y = (x+7)2 - 144


(-7, -144) 

500

A volleyball player hits the ball over the net. The path of the ball is modeled by the equation -16x2+24x+3.


After how many seconds does the ball hit the ground? 

1.62 seconds