PRACTICE TEST 1

1  Solve by undoing the square (square root property)

      

 

 

 

 2 Solve by 

Greatest Common Factor and Zero Factor Principle

 

 

 
3 Solve by Factoring and Zero factor principle 

 

 

 

 

 4  Solve by  Quadratic Formula ( no calc program)

2 x 2 + 5 x  = - 3

 

 

 

 

 
5 Solve by using Graphing method to approximate the roots

y = x 2 + 7.2 x - 8   ( draw the graph and indicate solutions)

 

 

 

 

 

 6   If  y =  - 3 x 2 - x + 9

 a) does parabola have a maximum or minimum

b) Find the EXACT  x value of the vertex:

 

 

e) Find the APPROXIMATE ROOTS ( one decimal place

f) What is the y intercept

 

 
7  Given these values

a).what would be a suitable WINDOW  to view these values

b). Name the interesting points of this parabola

x

Y1

0

400

10

0

20

-200

25

-220

30

-200

40

0
8.  Let h= -4.9t2 + 15 t + 1.5 model the height of water shot from a water pistol, where h is the height of the water in meters above the ground after t seconds.

a) What is the initial height of the water? ____________

b)  when will the water hit its high point?  ______

c) What is the water's highest point ? _________

d) How long before the water hits the ground?___________

e) Draw the graph and label the interesting points.

 

 

 
9. Show the domain and range of

on a number line

 

Domain: (x)

 

Range: (y)  or f(x)

 

 10  Input       Output

        1                3

        2                0

        3                3

        4               12

Is this a function?  Explain why.  

 
11 Name all the Basic Functions in Section 8.3 and draw a graph of each

 

 

 

 12  Let f(x)= x+3   and g(x) = x2 - 2 Find the compositions

a) f(g(2))=              b) g(f(0)) =         

 

 c) g(f(x)) =

 
13. The formula R = - 3.5 P2 + 60 P  models the amount of revenue in dollars generated from the price of the product at P dollars.

a)  At what price ( other than zero) does the product generate no revenue?

 

b) At what price does the product generate the most revenue?

 

 14.  Describe how the graph of f(x) = |a| is changed by each of the modifications by draw the graph ( graph provided in # 17)

a) f(x) + 2 __________________________

b) f( x - 3)  _______________________

c) - f(x) _________________________

d) 4 f(x) _______________________

e) -f(x+2) + 1 ________________________

 
15. Write an equation for this modified absolute value function. ( use only modifications of addition and/or subtraction)

16  A big screen TV has a diagonal of 12 feet. If the width is 2 foot more than the height. What are the dimensions of the TV. Show all work.

A) Diagram and label variable

B) set up equation

 

c) solve equation

 

d)  Answer question

If you split a cocoon open to help the butterfly escape, the nascent butterfly will die.  It’s the struggle within the cocoon that gives strength to the butterfly and enables its wings to grow and develop.  Only then can it emerge and go free.

17. Describe how the graph of f(x) = abs(x) is changed by each modifications in problem # 14

  draw the graph