1.   The domain of a relation is all positive integers less than 4. The range of y or the relation is 2 plus x, where x is a number of the domain. Write the relation as a table of values and as an equation.
    A. B. None of these.
    C. D.
    Hint

  2.   Write the standard form of the equation of a line for which the length of the normal segment to the origin is 10 and the normal makes an angle of with the positive x-axis.
    A. x - y - 20 = 0 B. x - y + 20 = 0
    C. x + y - 20 = 0 D. x + y + 20 = 0
    Hint

  3.   What is the distance between the lines with equations x + y - 5 = 0 and
y = -x + 10?
    A. B.
    C. D.
    Hint

  4.   Let and . Find .
    A. B.
    C. D.
    Hint

  5.   Write the equation 3x - 8y = -4 in polar form. Round to the nearest degree.
    A. B.
    C. D.
    Hint

  6.   Evaluate .
    A. 2 B. 8
    C. 4 D. 3
    Hint

  7.   An old circuit board with 7 computer chips contains 4 chips that are faulty. If 2 chips are pulled at random, find the probability that both chips are faulty.
    A. B.
    C. D.
    Hint

  8.   The set of data {67, 90, 83, 85, 73, 80, 78, 79, 68, 71} represents the ages at death of the first 10 U.S. Presidents. Find the range of the data.
    A. 4 B. 13
    C. 23 D. 18
    Hint

  9.   Consider the graph of the function y = f(x) shown below. Which statement is true?
   
    A. none of these are correct
    B. because when x = 3, f(x) = -2, and as x approaches 3, f(x) approaches -2.
    C. At x = 3, f(x) = -2
    D. As x approaches 3, f(x) approaches -2. Therefore, .
    Hint

  10.   Simplify the expression sin x + 4 cos x + 2 sin -x - 2 cos -x
    A. 2 cos x - sin x B. 1
    C. 3 sin x + 2 cos x D. 0
    Hint

  11.   Solve sec2 x = - 2 for -90° < x < 90°.
    A. -30°, 30° B.
    C. 60° D. -60°, 60°
    Hint

  12.   Find the distance from the origin to the graph of 2x + y = 15.
    A. B. undefined (cannot divide by zero)
    C. D.
    Hint

  13.   Find the magnitude of the resultant of a 7-newton force at an angle of 35° above the x-axis and a 12-newton force at an angle of 35° below the x-axis.
    A. 15.8 N B. 18.1 N
    C. 11.6 N D. 7.4 N
    Hint

  14.   Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form.
    A. (x + 1) 2 + (y - 3) 2 = 4
    B. (x - 1) 2 + (y + 3) 2 = 4
    C. (x + 1)2 + (y - 2) 2 = 4
    D. (x - 1) 2 + (y - 2) 2 = 4
    Hint

  15.   The equation of a circle is (x - 8) 2 + (y + 3)2 = 48, find the center and the radius.
    A. (-8, -3); B. (8, 3);
    C. (8, -3); D. (-8, 3);
    Hint

  16.   The population of a certain city can be modeled by the equation
y = 22,219e0.027t, where t is the number of years since 1946. What was the population of that city in 1978?
    A. 52,718 B. 47,321
    C. 40,243 D. 49,946
    Hint

  17.   Solve 46x = 496.
    A. 0.6472 B. 3.6413
    C. 0.7462 D. 4.4771
    Hint

  18.   During a particular hurricane in the Caribbean, a meteorologist determined that the odds of it hitting Jamaica are 2 to 3. What is the probability of this happening?
    A. B.
    C. D.
    Hint

  19.   In a sample of 3,000 used cars, the average number of miles each car has been driven was 23,082 with a standard deviation of 4,608 miles. Find an interval of the number of miles about the sample mean that has a 1% level of confidence. Use the table below to help you.
   
    A. 22,865–23,299 B. 22,917–23,246
    C. 23,031–23,132 D. 23,003–23,160
    Hint

  20.   Use limits to find the area between the graph of and the x-axis from x = 0 to x = 4.
    A. 128 B. 32
    C. 64 D.
    Hint



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