NAME MATH 103 Exam 1 version a February 16 2007 100 points Instructions 1 This exam has 6 pages including this one which contain 8 problems Please check that you have all of the pages 2 Answer all of the following questions clearly and completely Justify all of your answers 3 You may not use a book or any notes for this exam 4 Give your answer to each problem completely and clearly in the space provided You may use the back of the exam pages for scratch work however if you want this work to be considered make note of it in the space provided for the problem 5 Erase or cross out work you do not wish to be graded 6 Credit partial or full will be given only if sufficient steps leading to the answers are shown 7 You have 50 minutes to complete this exam Page 1 Problem 1 21 points Solve the following equations a 2 3t 5 9 b x2 8x 10 0 c x3 7x2 4x 28 0 Page 2 Problem 2 15 points a 7 points Find all intercepts of the graph of the equation 2y 5x 10 b 8 points Use your answer from part a to graph the equation 2y 5x 10 Be sure to describe how you know what the shape of the graph is Page 3 Problem 3 8 points Find the distance between the points 3 4 and 5 2 Problem 4 14 points Solve the following inequalities a 4x 9 3 b 3 5x 2 7 Page 4 Problem 5 8 points What is a circle Be as clear and precise as possible Problem 6 15 points The perpendicular bisector of a given line segment is the line which passes through the midpoint of the line segment and is perpendicular to the line segment a 5 points Find the midpoint of the line segment from the point 2 1 to the point 4 1 b 10 points Find an equation for the perpendicular bisector of the line segment in part a Page 5 Problem 7 9 points Find the center h k and the radius r of the circle given by the equation x2 y 2 12x 6y 20 0 Problem 8 10 points Solve the following system of linear equations The equations are numbered 1 and 2 for your convenience 3x 2y 3 1 x 3y 21 2 Page 6
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