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Test 5-Section 6 (Maths) When you're ready click 'Start' then answer the questions. Directions: You have 25 minutes to complete the 20 questions. Directions are included in the corresponding supplement. You can open the supplement by clicking on "view" in the supplement column in your portal for Test 5 Section 6 1. The use of a calculator is permitted. 2. All numbers used are real numbers. 3. Figures that accompany (given in supplement) problems in this test are intended to provide information useful in solving the problems. They are drawn as accurately as possible EXCEPT when it is stated in a specific problem that the figure is not drawn to scale. All figures lie in a plane unless otherwise indicated. 4. Unless otherwise specified, the domain of any function f is assumed to be the set of all real numbers x for which f(x) is a real number. Time : 00:25:00 Total Points : 200 Passing Score : 0%(0 points) No 1 Questions 2, 6, 14, 30,... In the sequence above, the first term is 2. Each number after the first is obtained by adding 1 to the preceding number and then doubling the result. What is the sixth number in the sequence? ( ) ( ) ( ) ( ) (x) 2 3 4 10 32.5 37.5 40 55 60 How many different positive three-digit integers can be formed if the three digits 4, 5, and 6 must be used in each of the integers? ( ) ( ) (x) ( ) ( ) 10 3 5 15 25 30 On the speedometer in the given figure, what is the speed, in miles per hour, indicated by the needle position? ( ) (x) ( ) ( ) ( ) Points 10 122 123 124 125 126 If a(x + y) = 45 and ax = 15, what is the value of ay ? ( ) ( ) ( ) ( ) (x) Image Three Four Six Eight Nine 10 5 The three-dimensional figure represented in the given figure consists of rectangular and triangular faces. Each rectangular face has area r and each triangular face has area t. What is the total surface area of the figure, in terms of r and t ? ( ) (x) ( ) ( ) ( ) 6 10 The average (arithmetic mean) of the weights of 14 books is p pounds. In terms of p, what is the total weight of the books, in pounds? 10 Point B is the midpoint of line segment AC in the given figure. What is the value of t ? 10 ( ) ( ) ( ) ( ) (x) 8 ( ) ( ) (x) ( ) ( ) 9 14 + p p -14 p/14 14/p 14p 1 1.5 2 2.5 3 10 If all men in the Williams family are over six feet tall, which of the following statements must be true? 10 (x) ( ) ( ) ( ) ( ) 11 1 2 3 4 5 If k(2x + 3)(x - 1) = 0 and x > 1, what is the value of k ? ( ) (x) ( ) ( ) ( ) 10 2r + t 3r + 2t 4r + 3t 6rt (r^3)(t^2) If n is a positive integer and (n + 1) / (2^n) = 1/2, then n = ( ) ( ) (x) ( ) ( ) 7 10 -3/2 0 2/3 1 2 No man under six feet tall is a member of the Williams family. All men over six feet tall are members of the Williams family. All men who are not members of the Williams family are under six feet tall. Every member of the Williams family over six feet tall is a man. There is one man in the Williams family under six feet tall. What is the radius of a circle that has a circumference of (Pi)? ( ) (x) ( ) ( ) 1/4 1/2 1 2 10 ( ) 12 10 If 4x = 6u = 5v = 7w > 0, which of the following is true? 10 ( ) ( ) ( ) (x) ( ) 13 ( ) ( ) ( ) (x) ( ) 14 If x is divisible by 3 and y is divisible by 5, which of the following must be divisible by 15 ? I.xy II.3x + 5y III.5x + 3y 10 35 11 7 -7 -11 I only III only I and II only I and III only I, II, and III In the given figure, y + z = ( ) ( ) ( ) ( ) (x) 17 x<v<u<w x<u<v<w x<v<w<u w<u<v<x u<v<w<x 10 ( ) ( ) ( ) (x) ( ) 16 3/4 3/2 9/4 3 9 Let the function h be defined by h(t) = 2(t^3 -3). When h(t) = -60, what is the value of 2 - 3t ? ( ) (x) ( ) ( ) ( ) 15 4 If y is directly proportional to (x^2) and y = 1/8 when x = 1/2 , what is the positive value of x when y = 9/2 ? The sum of three consecutive odd integers is 111. If n represents the least of the three integers, which of the following equations represents the statement above? ( ) ( ) ( ) (x) ( ) 10 180 195 215 230 245 3n = 111 3n + 2 = 111 3n + 4 = 111 3n + 6 = 111 3n + 9 = 111 10 18 The given figure shows part of a circle whose circumference is 45. If arcs of length 1 and length b continue to alternate around the entire circle so that there are 18 arcs of each length, what is the DEGREE measure of each of the arcs of length b ? (x) ( ) ( ) ( ) ( ) 19 20 10 4 degrees 6 degrees 10 degrees 16 degrees 20 degrees The cost of maintenance on an automobile increases each year by 10 percent, and Andrew paid $300 this year for maintenance on his automobile. If the cost c for maintenance on Andrew's automobile n years from now is given by the function c(n) = 300(x^n), what is the value of x? ( ) ( ) (x) ( ) ( ) 0.1 0.3 1.1 1.3 3.0 ( ) (x) ( ) ( ) ( ) SQRT(2) SQRT(3) SQRT(2) SQRT(3) SQRT(3) If the five line segments in the given figure are all congruent, what is the ratio of the length of line segment AC (not shown) to the length of line segment BD? to to to to to 1 1 2 2 SQRT(2) Built with Quiz Builder version 1.20 http://www.quiz-builder.com/ 10 10