17. For all triangles ∆XYZ where side is longer than side , such as the triangle shown below, which of the following statements is true? A. The measure of is always less than the measure of . B. The measure of is always equal to the measure of . C. The measure of is always greater than the measure of . D. The measure of is sometimes less than the measure of and sometimes equal to the measure of . E. The measure of is sometimes greater than the measure of and sometimes equal to the measure of . 18. ? A. −28 B. −13 C. 13 D. 28 E. 29 19. If , which of the following is the solution statement for when ? A. is any real number B. C. D. E. or 20. The perimeter of a parallelogram is 72 inches and 1 side measures 12 inches. What are the lengths, in inches, of the other 3 sides? A. 12, 12,36 B. 12, 18, 18 C. 12, 24, 24 D. 12, 30, 30 E. Cannot be determined from the information 21. The sides of a square are 3 cm long. One vertex of the square is at on a square coordinate grid marked in centimeter units. Which of the following points could also be a vertex of the square? A. B. C. D. E. 22. In the circle shown below, M is the center and lies on and . Which of the following statements is NOT true? A. measures 65º B. is parallel to C. measures 50º D. E.
the monthly payment per $1,000 borrowed? A. $20.52 B. $20.76 C. $20.85 D. $21.00 E. $21.74 39. In ∆ABC, shown below, the measure of is 41°, the measure of is 34°, and is 25 units long. Which of the following is an expression for the length, in units, of ? (Note: The law of sines states that, for any triangle, the ratios of the sines of the interior angles to the lengths of the sides opposite those angles are equal.) A. B. C. D. E. 40. For A. 15 B. 17 C. D. E. 41. If r and s can be any integers such that and , which of the following is the solution set for r? A. B. C. D. E. 42. What is the value of ? A. 3 B. 4 C. 6 D. 10 E. 16 43. In the right triangle below, the measure of is 90°, units, and units. What is ? A. B. C. D. E. 44. A flight instructor charges $50 per lesson, plus an additional fee for the use of his plane. The charge for the use of the plane varies directly with the square root of the time the plane is used. If a lesson plus 16 minutes of plane usage costs $90, what is the total amount charged for a lesson having 36 minutes of plane usage? A. $185 B. $150 C. $135 D. $110 E. $ 60
51. For all real numbers b and c such that the product of c and 3 is b, which of the following expressions represents the sum of c and 3 in terms of b ? A. B. C. D. E. 52. In any parallelogram ABCD, it is always true that the measures of and : A. add up to 180º B. add up to 90º C. are each greater than 90º D. are each 90º E. are each less than 90º 53. In the figure below measures 30º, measures 110º, and points B, C, and D are collinear. What is the measure of ? A. 150º B. 140º C. 130º D. 120º E. 110º 54. When , which of the following expressions is equivalent to ? A. B. C. D. E. 55. The lengths of the corresponding of two similar right triangles are in the ratio of 2:5. If the hypotenuse of the smaller triangle is 5 inches long, how many inches long is the hypotenuse of the larger triangle? A. 2 B. 2.5 C. 7 D. 10 E. 12.5 56. To increase the mean of 4 numbers by 2, by how much the sum of the 4 numbers have to increase? A. 2 B. 4 C. 6 D. 8 E. 16 57. Which of the following figures in a plane separates it into half-planes? A. A line B. A ray C. An angle D. A point E. A line segment 58. Which of the following expressions has a positive value for all x and y such that and ? A. B. C. D.