1. Question Details All Submissions Notes Question part 1 What is the remainder when 2x4 + 5x3 - 17x2 - 5 is divided by x + 3? 37 1 -131 -126 81 none of these 2. Question Details All Submissions Notes Question part 1 As θ increases from always increases increases 1 to , the value of sinθ ... increases, then decreases decreases, then always decreases none of these 3. Question Details All Submissions Notes Question part 1 Consider the following. The graph of f(x) has a vertical asymptote at x = 2 1 1/3 -2/5 -5/3 none of these 4. Question Details All Submissions Notes Question part 1 Which of the following is an equation of the line through the point (-5, 4) that has a x-intercept of 2? 4x + 7y = 8 1 7x + 4y = 14 -5x + 4y = 2 5x - 4y = -41 none of these 5. Question Details All Submissions Notes Question part 1 Consider the following. If the above is true, then f(4, 2) = 1/2 2 log2 - log4 log2 none of these 1 6. Question Details All Submissions Notes Question part 1 In ΔABC, B = 46°, C = 28° and AB = 50. Find BC (to the nearest hundredth). 102.38 1 93.21 86.46 76.61 none of these 7. Question Details All Submissions Notes Question part 1 If five fair coins are tossed and all of the different ways they could result are listed, how many elements of this list will contain three or more heads? 6 1 10 16 32 none of these 8. Question Details All Submissions Notes Question part 1 Consider the following. The period of the function above is ... none of these 1 9. Question Details All Submissions Notes Question part 1 Consider the following. Find (g f)(x). none of these 1 10. Question Details All Submissions Notes Question part 1 If x - 4y = 7 and 3x + y = 5, then = none of these 1 11. Question Details All Submissions Notes Question part 1 Consider the following. The domain of f(x) contains which of the following intervals? none of these 1 12. Question Details All Submissions Notes Question part 1 The amplitude of the function f(x) = 3sin(2x) + 4cos(2x) is ... 5 1 7 4.866 5.158 none of these 13. Question Details All Submissions Notes Question part 1 Consider the following. Given the above, find f -1(x). none of these 1 14. Question Details All Submissions Notes Question part 1 What is the ratio of the surface area of the sphere (with radius r) to its volume? none of these 1 15. Question Details All Submissions Notes Question part 1 Consider the following. Solve for BC (the the nearest hundredth). 14.61 1 22.28 30.18 47.87 none of these 16. Question Details All Submissions Notes Question part 1 Consider the following. If the above is true, then x is ... [-5, 1] 1 (-5, 1) (-1, 5) (-7/3, -5/3) none of these 17. Question Details All Submissions Notes Question part 1 If f(x) = ax2 + bx + c and f(1) = 3 and f(-1) = 3, then a + c equals ... 0 1 6 -3 3 none of these 18. Question Details All Submissions Notes Question part 1 What is the greatest integer value of x for which 3x < 1000? 5 1 6 7 8 none of these 19. Question Details All Submissions Notes Question part 1 Consider the following. log6(x + 3) + log6(x + 4) = 1 Solve for x. {-6, -1} 1 {-4, -3} { } {-1} none of these 20. Question Details All Submissions Notes Question part 1 Randy earns $250 per week plus 4 ½ percent commission on the dollar amount of all of his sales. To the nearest dollar, what must be the total value of his sales for him to earn $500 per week? $11,111 1 $7,778 $5,556 $4,445 none of these 21. Question Details All Submissions Notes Question part 1 A stone is dropped from a height of 60 feet above ground level. The height of the stone, in feet, t seconds after it is dropped is given by the following equation. s(t) = -16t2 + 60 When will the stone strike the ground? 3.75 sec 1 1.94 sec 2.26 sec 1.87 sec none of these 22. Question Details All Submissions Notes Question part 1 What is the sum of the following infinite geometric series (if it exists)? 13/4 1 3 11/4 8/3 sum cannot be found 23. Question Details All Submissions Notes Question part 1 If f(x) = 4x2 - 5x + 7, then f(x + h) - f(x) = 8xh + 4h2 - 5h 1 4h2 - 5h 10xh + 5h2 - 4h 2xh + h2 - h none of these 24. Question Details All Submissions Notes Question part 1 (n - 1)!(n) = (n2 - n)! (n - 1)n! (2n - 1)! n! none of these 1 25. Question Details All Submissions Notes Question part 1 Consider the following. If the function above were to be shifted units to the right, the new function would be ... none of these 1 26. Question Details All Submissions Notes Question part 1 Test scores for each of the five students in a study group were 85, 85, 87, 91, and 97. For these five grades, which of the following is true? mode < median < mean median < mean < mode 1 mode < mean < median none of these median < mode < mean 27. Question Details All Submissions Notes Question part 1 If f(x) is a third degree polynomial containing the points {(-3, 0); (0, 4); (1,8); (4,0)}, then f(x) could be ... none of these 1 28. Question Details All Submissions Notes Question part 1 Consider the following. Where in the interval [0, 360°) is f(x) undefined? 84.6° 1 131.4° 221.4° 311.4° none of these 29. Question Details All Submissions Notes Question part 1 Which of the following is not equal to cos2θ? 1 - sin2θ 1 cos2θ - sin2θ 1 - 2sin2θ 2cos2θ - 1 none of these 30. Question Details All Submissions Notes Question part 1 Find the smallest angle of a triangle whose sides are 7, 8, and 9. (solution in radians) 0.84 1 0.89 0.63 0.74 none of these 31. Question Details All Submissions Notes Question part 1 Consider the following. What number does f(x) approach as x approaches 3? 3 1 4 5 6 none of these 32. Question Details All Submissions Notes Question part 1 If tan(cos(x)) = 1.2 (x in radians), which of the following is a value for sin(x)? 0.3798 1 0.4466 0.4822 0.5136 none of these 33. Question Details All Submissions Notes Question part 1 If f(x) = ex, for what value of x is f(x) = 15.8? 1.119 1 2.76 5.813 7,275,332 none of these 34. Question Details All Submissions Notes Question part 1 If 83x - 2 = 127, then x = 1.3878 1 1.3974 1.4186 1.4432 none of these 35. Question Details All Submissions Notes Question part 1 Consider the following. Which of the following is not a point on the function f(x)? (0, 2) 1 (2, 0) none of these 36. Question Details All Submissions Notes Question part 1 How many different 4-person committees can be chosen from the 100 members of the Senate? 25 1 400 3,921,225 94,109,400 none of these 37. Question Details All Submissions Notes Question part 1 Consider the following. Find θ. 1.19 1 2.08 2.37 2.5 none of these 38. Question Details All Submissions Notes Question part 1 The following image shows the graph of the function f(x) = 1/x and three shaded rectangles. What is the sum of the areas of the three rectangles pictured? 1.16 1 1.37 1.49 1.71 none of these 39. Question Details All Submissions Notes Question part 1 After an 8% growth in population, the city of Raleigh was home to 380,173 people. What was the population prior to the growth? 30,414 1 349,759 475,216 352,012 none of these 40. Question Details All Submissions Notes Question part 1 Consider the following system of equations. 2x + 5y = 11 8x + by = 4 The system has a solution for all values of b except for b = -10 1 10 20 0 none of these 41. Question Details All Submissions Notes Question part 1 If (x - 2) is a factor of x3 - 7x2 + kx - 12, then k = 16 1 -16 32 -32 none of these 42. Question Details All Submissions Notes Question part 1 Find a, b for the parabola y = ax2 + bx + 3 if the vertex is (2, 4). a = 1, b = 2 1 a = -1/4, b = 1 a = -1/4, b = 2 a = -1/3, b = 1 none of these 43. Question Details All Submissions Notes Question part 1 One jet flies at a ground speed of 75 miles per hour faster than another jet. On a particular flight the faster jet requires 3 hours and the slower one 3 hours and 36 minutes. What is the length of the flight? 375 miles 1 450 miles 1000 miles 1350 miles none of these 44. Question Details All Submissions Notes Question part 1 Find the area (to the nearest tenth) of the circle x2 + y2 + 6x + 8y + 6 = 0. 54.1 1 56.2 58.9 59.7 none of these 45. Question Details All Submissions Notes Question part 1 Consider the following functions. I. f(x) = x3 - x II. f(x) = 2x + x5 III. f(x) = 2x + 4 Which function(s) is (are) symmetric with respect to the origin? I only 1 I and II I and III I, II, and III none of these 46. Question Details All Submissions Notes Question part 1 A rectangular solid has dimensions 3, 4, and 5. Find its diagonal. 4.32 1 5.29 7.07 9.41 none of these 47. Question Details All Submissions Notes Question part 1 Simplify the following. 2 2i none of these 1 48. Question Details All Submissions Notes Question part 1 Consider the following. Given the quadrilateral ABCD with the following vertices A(-4, 0), B(10, 0), C(10, 10), and D(0, 14), find its area. 123 1 126.5 148 154 none of these 49. Question Details All Submissions Notes Question part 1 Express tan(arcsin(x)) without trigonometric functions. none of these 1 50. Question Details All Submissions Notes Question part 1 Consider the following. If x = 2, find f(f(f(x))) to the nearest tenth. 5.4 4.2 1.8 6.5 none of these