1.   The compound inequality 300 < x + y < 1200 and x = 2y is shown in the graph below. List the possibilities of Bobcats and Lions produced to meet the imposed conditions.
   
    A. All points on the segment of the line 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers.
    B. All points on the segment of the line x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers.
    C. All points on the segment of the line x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers.
    D. All points on the segment of the line 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers.
    Hint

  2.   If you solve the following system of equations by substitution, which statement is true?

x = z
x - 2y + z = 6
2x + y - 2z = 1

    A. Both methods will work. B. Neither method will work.
    C. You can substitute x for z into the second and third equations. D. You can substitute z for x into the second and third equations.
    Hint

  3.   Determine the slant asymptote for f(x) = .
    A. y = 3x + 2 B. y = 2x + 3
    C. y = 3x - 2 D. y = -2x +3
    Hint

  4.   State the number of complex roots of the equation x4 - 3x2 - 4 = 0.
    A. 1 B. 4
    C. 2 D. 3
    Hint

  5.   Find the discriminant of x2 - 2x + 20 = 0.
    A. -76 B. -72
    C. 76 D. 72
    Hint

  6.   Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth.
    A. 1.2 B. 1.4
    C. 1.4, 2.1, and 3.2 D. 1.6
    Hint

  7.   A regular pentagon is inscribed in a circle with diameter 20 centimeters. The apothem of a regular polygon is the measure of a line segment from the center of the polygon to the midpint of one of its sides. Find the apothem of the pentagon.
    A. about 8.09 cm B. about 5.30 cm
    C. about 11.79 cm D. about 18.87 cm
    Hint

  8.   Find the area of if d =14.2, D = 33.6°, and E = 15.2°.
   
    A. about 71.9 square units B. about 46.5 square units
    C. about 62.1 square units D. about 35.9 square units
    Hint

  9.   Solve 2 cos + 1 < 0 for 0 < 2.
    A. < < 2 B. < <
    C. 0 < or
< < 2
D. < <
    Hint

  10.   Consider the equation -x + 2y - 5 = 0. Find the length of the normal and the angle it makes with the positive x-axis.
    A. ; 243° B. ; 63°
    C. ; 117° D. ; 297°
    Hint

  11.   Find an equation of the line that bisects the acute angles formed by the lines with equations 3x + 4y = 8 and 5x + 12y = 16.
    A. 14x + 8y - 23 = 0 B. 8x + 14y - 23 = 0
    C. 14x + 8y + 23 = 0 D. 8x + 14y + 23 = 0
    Hint

  12.   What is the distance from the origin to the graph of 3x + 4y + 12 = 0?
    A. B.
    C. 12 D. 5
    Hint

  13.   A ship leaving port sails for 100 miles in a direction 40° north of due east. Find the magnitude of the vertical and horizontal components.
    A. about 87 miles; about 50 miles B. about 50 miles; about 87 miles
    C. about 77 miles; about 84 miles D. about 64 miles; about 77 miles
    Hint

  14.   Write the polar equation in rectangular form.
    A. x + y = 2x2 B. x + y = 4x
    C. x2 + y2 = 4x D. x2 + y2 = 2x
    Hint

  15.   Solve the equation x3 - 27 = 0.
    A. 3, ,
    B. 3, ,
    C. 3, ,
    D. 3, ,
    Hint

  16.   A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances.
    A. B.
    C. D.
    Hint

  17.   Solve the system of inequalities by graphing.
2x + y 3
2x + y -2
y 4
x < 1
    A. B.
    C. D.
    Hint

  18.   Describe the end behavior of the function:
f(x) = x4 - x3 + x2 + x - 1
    A. f(x) as x , f(x) as x
    B. f(x) as x , f(x) as x
    C. f(x) as x , f(x) as x
    D. f(x) as x , f(x) as x
    Hint

  19.   The function f(x) = |x - 4| + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection.
    A. There is a maximum at (4,2)
    B. There is a point of inflection at (4,2)
    C. none of these
    D. There is a minimum at (4,2)
    Hint

  20.   What is the complex conjugate of a - bi, if a and b are real numbers?
    A. B. a - bi
    C. a2 + b2 - abi D. a + bi
    Hint



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