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Algebra II Fall Final Exam REVIEW 2009

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					                           Algebra II Fall Final Exam REVIEW 2009

1)   Solve:   2x + 2   1                                2)   Find the range of the relation:

                                                                         {( 0, 1) , (          1, 2 ) , ( 2, 1) , ( 2, 1)}




3) Use the vertical line test to determine which        4)   Graph the inequality:                    3x     2y        6
graph represents a function.

A)                         B)




C)                         D)




5) Describe   the transformation from                   6) Explain whether each is a function or not a
        y =    x     to     y = x + 2              1?   function.

                                                                 A) {    6,        5,     8,     7}


                                                                  B) {(       6,        5 ) , ( 8,     7 ) , ( 8,     6 ) , ( 7,   8 )}


                                                                 C) {(   6,        5 ) , ( 5,         8 ) , ( 6,    7 )}


                                                                 D) {(   6,        5 ) , ( 5,        6 ) , ( 7,     7 )}


7)  Write an equation in slope-intercept form for       8) What is the perpendicular slope of the equation
a line passing through the point ( 2, 3 ) and              3
                                                        y = x+7?
                                      2                    4
perpendicular to the line:      y =       x + 5.
                                      3
                           Algebra II Fall Final Exam REVIEW 2009
9)Given the equation       y =   x   3   + 4,   find the   10)   Find an equivalent expression for           300x   .
domain.




11)  At a firefighters’ pancake breakfast, the             12)  The price, e, of an entertainment system at
firefighters served 345 people and raised $1395.           Extreme Electronics is $220 less than twice the
If the cost of a, an adult’s ticket to the pancake         price, u, of the same system at Ultra Electronics.
breakfast, was $5 and the cost of c, a child’s             The difference in price between the system at
ticket, was $3, what was the number of adult               Extreme Electronics and Ultra Electronics is $175.
tickets sold?                                              Write a system of linear equations to determine the
                                                           price of the system at each store?




13)   Describe these lines.                                14)   Graph the feasible region for the set of
                                                                                                x   0
      Line 1: through (5,8) and (7,2)                             constraints:                  y   0
                                                                                                x + y   10
      Line 2: through (-7, -2) and (-4, -1)                Then find the critical points (coordinates of the
                                                           vertices).

Parallel, Perpendicular or Neither?




15)   Simplify:    20 x 5 y 8 xy 2                         16)   Simplify:        81 +      9




17)   i=                                                   18)   Multiply:   (2   i) ( 5 + i)
                                     Algebra II Fall Final Exam REVIEW 2009
                         3                                                 5 + i
19)   Simplify:                                         20)   Simplify:
                          2                                                2     i




21) Writea function that corresponds to the             22)   Use the quadratic formula to solve the equation:
ordered pairs shown in the table?
                                                                               4x 2    5x + 5 = 0
            x     -3            -1      2    3      4
            y     -1             3      9   11     13




23) Two angles are supplementary. One angle             24)The width of a rectangular park is 5 meters
is 30 more than twice the other angle. How
      o
                                                        shorter than its length. If the area of the park is
large are the two angle?                                300 m 2 , find the width of the park.




25)Use the quadratic formula to solve the               26)   Complete the square
equation:

                         2x 2        8x + 20 = 0                                      x 2 + 14 x + c


27)   Factor: ( x2           100 )                      28)   Factor: x2        12x + 32




29)   Factor:   4x
                     2
                             13x + 9                    30)   Find the product and simplify the answer:
                                                                                           (3      2   ) (3 +   2   )

31)   Simplify:                                         32) A rock was thrown upward with an initial
                                                        velocity of 24 feet per second. The rock’s height t
                                      2 3               seconds after it was thrown upward is given by the
                                       *
                                     7 11               function h ( t ) = 16t 2 + 24t + 4755 . Kelly guessed
                                                        that it would take 15 seconds for the rock to hit the
                                                        river, David guessed 18 seconds, Shilpi guessed 20
                                                        seconds, and Dube guessed 25 seconds. Who had
                                                        the best guess?
                           Algebra II Fall Final Exam REVIEW 2009
33) Jake averages 20 points per game when he        34) Julie’s bank pays 4.5% annual interest on the
plays basketball. What is the functional            value of a certificate of deposit (CD). Which is the
relationship between the total number of            independent quantity in the functional
points that Jake scores and the number of           relationship between the value of the CD and the
basketball games he plays? (i.e. Is the number of   annual interest paid?
points independent or dependent on the number
of games? Explain.)


35) Laurierecorded the high temperature in          36)    Identify the range of the function, f ( x) ,
Abilene each Saturday for two months and                  graphed below.
recorded the data in the graph below.

                                                                                        f ( x)




What is the functional relationship between the
week number and the high temperature on that
Saturday?



                  for HP laptops (in thousands)
37) Predicted sales                                 38) A collector of sports cards has a total of 5000
and Apple laptops (in thousands) can be             cards, which consists of baseball cards and football
modeled by the table below. Based on the data       cards, worth $25,855. The average value of each
predictions, in what year will both companies       baseball card is $6.25 and the average value of each
sale the same amount of laptops?                    football card is $2.10. Which system of equations
 Year      2000   2005   2010   2015   2020
                                                    can be used to find b, the number of baseball cards,
                                                    and f, the number of football cards?
  HP       17      27    37     47     57

 Apple      2      17    32     47     62
                       Algebra II Fall Final Exam REVIEW 2009
39) The graph shows the daily production cost    40)    Which of the following equations has the same
for a company that manufactures microwave              range as the quadratic graphed below?
ovens, where x is the number of ovens
produced. Which statement is true about this
situation?




                                                       y = x 2 +3
A) The cost of producing the ovens ranges from
$700 to $800.                                          y = ( x + 3)2

B) The domain is x C 0.                                y = x2 + 2 x 3

                                                       y = 2x2 4x 1
C) The range is the number of ovens produced.

D) The maximum number of ovens that can be
produced is 40.

41)    A music store sells about 50 of a new     42) Bob  and a few of his fishing buddies went to a
model of drum per month at a price of $120       catfish and bass farm where they have a small pond
each. For each $5 decrease in price, about 4     stocked with hungry catfish and bass. Together the
more drums per month are sold. Which             group caught 24 fish at the most, consisting of some
inequality can you use to find the prices that   catfish and some bass. The average weight of each
result in monthly revenues over $6500?           bass was 4.5 pounds, and the average weight of
                                                 each catfish was 6 pounds. The group’s total weight
                                                 of fish caught was at least 122 pounds. Write a
                                                 system of inequalities that can be used to find b, the
                                                 number of bass caught, and c, the number of catfish
                                                 caught?
                         Algebra II Fall Final Exam REVIEW 2009
43) A vendor sold 200 tickets for an upcoming          44)  How is the graph of the equation y = 5x2
rap concert. Floor seats, f, were $ 36 and             related to the graph of y = - 5 x2?
stadium seats, s, were $ 28. The vendor sold $
6080 in tickets. This can be modeled by the
system of equations

                    36f + 28s = 6080
                        f + s = 200

How many $ 28 dollar seats did the vendor sell?


45) Write the equation that is shifted 5 units up      46)  The length of a rectangular rug is 2 feet less
from the graph of y = x2 – 1?                          than twice its width. Determine the dimensions of
                                                       the largest rug if its area must be no more than 180
                                                       ft2.




47)   Find the x-intercepts for the function:          48)   Find the factors of:

           f(x) = x2 – 4x – 5.                                      6x2 – 11x – 10.




49)The graph shows the height of a football            50)  You are making a square frame of uniform
from the time it is kicked until it hits the ground.   width for a square picture that has side lengths of 2
For how long is the football at least 20 feet          feet. The total area of the frame is 5 square feet.
above the ground?                                      What is the length of sides of the frame?

				
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