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Purdue MA 15300 - Exam 2

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MA 153 Exam 2A Fall 200311. Solve the following inequality for † x. Express your answer in interval notation.† 145 - 3x( )£ 2† A. -•,1( ]B. -•,-9( ]C -9,•[ )D. -•,-1( ]E. None of the above2. Which of the following statements are true given the points † A 3,1( ) and B 4,-5( )?† A. I onlyB. I and II onlyC. II onlyD. II and III onlyE. I, II, and III are true3. Express in the form † a + bi, where † a and b are real numbers.† 6 - 3i( )2† A. 27 - 36iB. 15 -12iC. 45 -18iD. 12 - 6iE. None of the above4. Solve the following inequality for † x. Express your answer in interval notation.† 4 x + 13≥ 5† A. -•,-4( ]»72,•È Î Í ˆ ¯ ˜ B. 72,•È Î Í ˆ ¯ ˜ C. -•,-72Ê Ë Á ˘ ˚ ˙ » 4,•[ )D. -4,72È Î Í ˘ ˚ ˙ E. None of the aboveI. The distance between!!!!† A and B is 37.II. The slope of segment † AB is - 6.III. The midpoint of segment † AB is!!!!!!!!in quadrant II.MA 153 Exam 2A Fall 200325. Which of the following depicts the graph of the equation† x = 3y2- 46. Find an equation of the line through the point † A -2,7( ) and parallel to the line given by † 4 x - y = 3.Leave your answer in the form † ax + by = c, where † a, b, and c are integers and † a is positive.† A. 4 x + y = -1B. 4 x - y = 30C. 4 x + y = 3D. 4 x - y = -15E. 4 x - y = 37. Find all real and complex solutions of the following equation:† x4- 81 = 0† A. x = ±9B. x = ±9, x = ±9iC. x = ±3, x = ±3iD. x = ±3, x = ±9iE. None of the abovexy11xy11xy11xy11A.B.C.D.E. None of theseMA 153 Exam 2A Fall 200338. Solve for † x. Choose the answer that best describes the solution(s).† 2x + 7 = x + 2† A. There are two solutions. One is positive and one is negative. B. There is one solution. It is positive. C. There are two solutions. They are both positive. D. There is one solution. It is negative. E. There are two solutions. They are both negative.9. Find the slope-intercept form of the line having slope † 45 and passing through the point † -1,3( ).10. Which of the following statements is true if † A -4,1( ), B x, y( ), C -2,5( ), and C is on theperpendicular bisector of segment † AB?† A. x + 4( )2+ y -1( )2= 52B. x + 2( )2+ y - 5( )2= 52C. x + 4( )2+ y -1( )2= 20D. x + 2( )2+ y - 5( )2= 20E. None of these are true† A. y =45x +115B. y =45x -1C. y =45x -175D. y =45x + 3E. y =45x +195MA 153 Exam 2A Fall 2003411. Solve for † x.† x2- 6x +11 = 0† A. x = 3 ± 2iB. x = 3 ± 4 5C. x = 3 ± 2 2iD. x = 3 ± 2 5E. None of the above12. Which of the following equations describes the graph given below:† A. x = 4 - y2B. y = 4 - x2C. x = - 4 - y2D. y = - 4 - x2E. None of the above13. A minivan left a point at 10:00 a.m. driving due north at 40 mph. A compact car left the samepoint at 10:30 a.m. driving due west at 50 mph. Let † x represent the number of hours past 10:00a.m. Find the equation that would be used to find † x when the vehicles are 80 miles apart.† A. 40x + 50x - 25 = 80B. 40x + 20 + 50x = 80C. 40x( )2+ 50x( )2= 80( )2D. 40x( )2+ 50x - 25( )2= 80( )2E. 40x + 20( )2+ 50x( )2= 80( )2xy† 1323412MA 153 Exam 2A Fall 2003514. A stone is projected upward with an initial speed of 112 ft./sec. The number of feet, † s, above theground after † t seconds is given by † s = -16t2+ 112t. When will the stone be 160 feet above theground?† A. t = 1, t = 4 secondsB. t = 3.5 secondsC. t = 2, t = 5 secondsD. t = 7 secondsE. None of the above15. A swimming pool is to be in the shape of a rectangle with a semicircle at each end (see the figure).The diameter of each semicircle is 18 feet and the length of the pool is † x feet. If the total area ofthe pool is to be 600 square feet, find † x.† A. 37.2 feetB. 19.2 feetC. 47.4 feetD. 56.4 feetE. None of the above†


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Purdue MA 15300 - Exam 2

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