1.   In a science experiment, students hung a cup from a spring and measured the length of the spring when candies were added to it. Their data are shown in the table below. Which statement is true?
   
    A. The relation is not a function because there are two y values for some x values.
    B. The relation is a function because the range values increase.
    C. The relation is a function because for each x value, there is exactly one y value.
    D. The relation is not a function because only a line can be a function.
    Hint

  2.   The table below shows the land-speed records to the nearest mile per hour. Draw a scatter plot for the data and use it to predict the approximate land-speed record for the year 2005. Assume the rate of increase of speed records remains the same.
   
    A. 980 mph B. 600 mph
    C. 830 mph D. 700 mph
    Hint

  3.   Choose the graph of 3y - 2x > 6.
    A. B.
    C. D.
    Hint

  4.   Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region.
   
    A. -28 B. 14
    C. 27 D. -14
    Hint

  5.   Triangle FGH has vertices F(12, 6), G(8, 1), and H(-4, 4). If the triangle is reduced so that the resulting perimeter is half the original perimeter, what are the coordinates of F'?
    A. (-2, -2) B. (4, 2)
    C. (6, 3) D. (6, 6)
    Hint

  6.   The product gives the coordinates of two points on line AB that has been rotated 90° counterclockwise about the origin. Name the coordinates of A' and B'.
   
    A. A'(1, 1), B'(-1, -3)
    B. A'(1, -3), B'(1, 1)
    C. A'(-1, -3), B'(1, 1)
    D. A'(-1, 1), B'(1, -3)
    Hint

  7.   Find the area of the parallelogram.
   
    A. (36a2 - 49b2) cm2
    B. (12a2 + 14b2) cm2
    C. (36a2 - 84ab - 49b2) cm2
    D. (36a2 + 49b2) cm2
    Hint

  8.   Choose the line whose slope is undefined.
    A. B.
    C. D.
    Hint

  9.   Find the value of a so that the distance between points with coordinates (2, 5) and (-6, a) is 10 units.
    A. 1 or 11 B. or 11
    C. 11 only D. 1 only
    Hint

  10.   Find the slopes of the asymptotes of the hyperbola with equation
3x2 - y2 - 18x - 2y + 20 = 0.
    A. B.
    C. D.
    Hint

  11.   Find f(4) for f(x) = x3 - 2x2 + 3x - 7.
    A. 1 B. 37
    C. 2 D. 11
    Hint

  12.   Which is the inverse of the relation {(1, -3), (3, 5), (6, -2)}?
    A. {(1, 5), (3, -2), (6, -3)} B. {(1, -2), (3, 8), (6, 4)}
    C. {(1, -3), (3, 5), (6, -2)} D. {(-3, 1), (5, 3), (-2, 6)}
    Hint

  13.   Simplify .
    A. B.
    C. D.
    Hint

  14.   Determine tan .
    A. 0.6508 B. 0.8571
    C. 0.7203 D. 1.6641
    Hint

  15.   Which of the following is the correct rotation matrix for a rotation of 180°counterclockwise about the origin?
    A. B.
    C. D.
    Hint

  16.   Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth.
    A. (–147, –87) B. (1.79, 1.06)
    C. (147, 87) D. (–1.79, 1.06)
    Hint

  17.   Find the inverse of if it exists.
    A. B.
    C. does not exist, since adbc = 0 D.
    Hint

  18.   Solve 0 = x2 + 4x + 5 by graphing.
    A. no real roots B. –1, 5
    C. 2 D. 1, –5
    Hint

  19.   Which of the following is a polynomial in one variable?
    A. B.
    C. D.
    Hint

  20.   What is the degree measure of the angle through which the hour hand on a clock rotates from 4:00 P.M. to 8:00 P.M.?
    A. –120° B. 90°
    C. –90° D. 120°
    Hint



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