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    C BX Ax X F F F: Capital City Regional 3/8/2008 Algebra 2 Bowl Questions

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    lusienopop
    This document contains 15 questions that were used in an Algebra 2 bowl competition. The questions cover a wide range of algebra 2 topics including: solving equations; finding distances, speeds, and rates of change; graphing and analyzing quadratic, rational, and other functions; working with matrices and determinants; solving systems of equations; and word problems involving financial calculations with percentages.

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    Download as PDF, TXT or read online from Scribd

    C BX Ax X F F F: Capital City Regional 3/8/2008 Algebra 2 Bowl Questions

    Uploaded by

    lusienopop
    29 views3 pages
    This document contains 15 questions that were used in an Algebra 2 bowl competition. The questions cover a wide range of algebra 2 topics including: solving equations; finding distances, speeds, and rates of change; graphing and analyzing quadratic, rational, and other functions; working with matrices and determinants; solving systems of equations; and word problems involving financial calculations with percentages.

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    C_Alg2 Team Cond

    Original Title

    C_Alg2 Team Cond

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    This document contains 15 questions that were used in an Algebra 2 bowl competition. The questions cover a wide range of algebra 2 topics including: solving equations; finding distances, speeds, and rates of change; graphing and analyzing quadratic, rational, and other functions; working with matrices and determinants; solving systems of equations; and word problems involving financial calculations with percentages.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    29 views3 pages

    C BX Ax X F F F: Capital City Regional 3/8/2008 Algebra 2 Bowl Questions

    Uploaded by

    lusienopop
    This document contains 15 questions that were used in an Algebra 2 bowl competition. The questions cover a wide range of algebra 2 topics including: solving equations; finding distances, speeds, and rates of change; graphing and analyzing quadratic, rational, and other functions; working with matrices and determinants; solving systems of equations; and word problems involving financial calculations with percentages.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 3

    Capital City Regional

    3/8/2008
    ALGEBRA 2 BOWL QUESTIONS

    Algebra Two Team Question # 1


    A ball is dropped onto concrete from a height of 9 ft. Each time it hits the concrete it
    rebounds to two-thirds the height from which it fell. Find the total distance, in feet, this
    bouncing ball travels.

    Algebra Two Team Question # 2


    A quadratic function, f ( x) = ax 2 + bx + c , exists such that the maximum value of f (x) is 8
    and the graph of f (x) has x-intercepts of 3 and 7.
    FIND a+b+c.

    Algebra Two Team Question # 3


    Solve and write your answer in INTERVAL notation.

    3x 5
    5
    2

    Algebra Two Team Question # 4


    Two cousins, Olivia and Isabelle, wave as they depart from grandmas house and travel in
    opposite directions on an interstate highway. Olivia (exceeding the legal limit) travels 8 mph
    faster than Isabelle. After 2 hours they are 224 miles apart.
    Let A = Isabelles speed in mph
    Let B = Olivias speed in mph
    Let C = the number of miles they will be from each other after 3 hours if their speeds remain
    the same.
    Find C 2(A+B)
    Algebra Two Team Question # 5
    Find ALL linear factors of f ( x) = x 4 2 x 3 5 x 2 + 4 x + 6.
    Algebra Two Team Question # 6

    5 3
    A=

    3 2
    B = A 1
    C = A2

    Find B X C.

    Capital City Regional

    3/8/2008
    ALGEBRA 2 BOWL QUESTIONS
    Algebra Two Team Question # 7

    Let A = (2i ) 9 13i 61


    B = (1 + i )18
    C = (2 + 3i )(1 2i )

    where i = 1.
    FIND A + B - C
    Algebra Two Team Question # 8
    Solve for ( x, y ).
    4 9
    = 48
    x y
    5 13
    + = 37
    x y

    Algebra Two Team Question # 9


    3x + 5
    , and
    2x 1
    Let y = A be the horizontal asymptote of f (x) .
    Let x = B be the vertical asymptote of f (x) .
    Let C = the x-intercept of f (x) .
    FIND A + 2B 3C

    If f ( x) =

    Algebra Two Team Question # 10


    Given: y 2 = 3 x 2 + 12
    A = the square of the positive y-intercept.
    B = the square of the positive slope of the asymptotes.
    C = x-coordinate of the foci.
    D = the square of the value of y when x = 1.
    FIND: AB - CD
    Algebra Two Team Question # 11
    Samantha has taken a job with a starting salary of $44,000. Find her salary during her 3rd year
    on the job if she receives a 5% annual raise.

    Capital City Regional

    3/8/2008
    ALGEBRA 2 BOWL QUESTIONS

    Algebra Two Team Question # 12


    A vending machine takes quarters and dimes but gives out change in nickels and dimes. The
    selections chosen by customers usually result in four times as many nickels as dimes being
    used in change. How many of each coin should be placed in the change hoppers by the
    vendor, if he is putting $45 in change in the machine? Answer should be: ( nickels, dimes)
    Algebra Two Team Question # 13
    The real solutions of the system of equations below are in the form: (x,y).
    x 2 + y 2 = 25

    x2 y2 = 7
    Find A B; where
    A = sum of all POSITIVE abscissas and
    B = sum of all NEGATIVE ordinates
    of the solutions.
    Algebra Two Team Question # 14
    The longest side of a triangle is 12 less than the sum of the other two sides. The shortest side
    is 10 more than one-half the third side. If the perimeter is 188, find each side and write the
    lengths in increasing order.

    Algebra Two Team Question # 15

    2 7 6
    6 5
    FIND (det A)( B 1 )
    A = 0 1 5 , B = 3
    8
    5

    2 1 11

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