Math 012 Midterm Exam Fall 2017 Professor: Dr. Liz Grubert Name________________________________ Instructions: The exam is worth 75 points. There are 15 questions, each worth 5 points. Your score on the exam will be converted to a percentage and posted in your assignment folder with comments. This exam is open book and open notes, and you may take as long as you like on it provided that you submit the exam no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone. You must show all of your work to receive full credit. If a problem does not seem to require work, write a sentence or two to justify your answer. Please type your work in your copy of the exam, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in the document. Review instructions for submitting your exam in the Exams Module. If you have any questions, please contact me by e-mail (liz.grubert@faculty.umuc.edu). At the end of your exam you must include the following dated statement with your name typed in lieu of a signature. Without this signed statement you will receive a zero. I have completed this exam myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this exam. Name: Date: Please remember to show all work on every problem. 1) Solve the equation using the methods discussed in Chapter 1 of our text. Math 012 Midterm Exam Page 2 2) Solve the equation using the methods discussed in Chapter 1 of our text. 3) Solve the equation using the methods discussed in Chapter 1 of our text. Clear fractions from the equation in the first step. 4) Solve the inequality using the methods discussed in Chapter 3 of our text. Write your answer in interval notation and graph the solution set on a number line. Math 012 Midterm Exam Page 3 5) Solve the inequality using the methods discussed in Chapter 3 of our text. Clear fractions from the inequality in the first or second step. Write your answer in interval notation and graph the solution set on a number line. 6) Solve the inequality using the methods discussed in Chapter 3 of our text. Write your answer in interval notation and graph the solution set on a number line. 7) Solve the inequality using the methods discussed in Chapter 3 of our text. Write your answer in interval notation and graph the solution set on a number line. Math 012 Midterm Exam Page 4 8) The number of books in a bookcase varies directly with the time since Jane started unpacking. At 2 hours after starting, there are 152 books in the bookcase. How many books should we 1 expect there to be in the bookcase 3 hours after starting to unpack? 2 9) Tyler invests $50,000 in an account which pays 7.21% interest compounded monthly. After 12 years and 9 months, how much money will he have in the account? Math 012 Midterm Exam Page 5 10) The average cost to attend a particular university in 1982 was $3,710 and in 1996 was $7,844. Let y be the average cost in the year x, where x = 0 represents the year 1982. a) Write a linear equation, in slope-intercept form, that models the growth in cost at that university in terms of the year x. b) Use this equation to predict the average cost at that university in the year 2020. c) Explain what the slope of this line means in the context of the problem. Math 012 Midterm Exam Page 6 11) Given the linear equation 3x - 5y = 15: a) Convert the equation to slope-intercept form. State the slope of the line and the y-intercept as an ordered pair. b) Use the slope and the y-intercept to graph the line represented by the equation. You may use the axes provided, or create your own graph. 8 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 y x 1 2 3 4 5 6 7 8 Math 012 Midterm Exam Page 7 12) Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion clearly. 7x + 3y = 9 6y = -2 - 14x 13) Write an equation of a line through the point (4, 2) that is parallel to the x-axis. Graph the line on the grid below or create your own graph. State the slope of the line. 8 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 y x 1 2 3 4 5 6 7 8 Math 012 Midterm Exam Page 8 14) Find an equation of the line through (-6, 1), perpendicular to the line with equation 8x + 3y = 4. Write the new equation in point-slope form. 15) Convert the equation of the new line found in problem #14 to standard form, Ax + By = C, where A, B, and C are integers. End of exam: please do not forget to write and sign (or type) the required statement explained on Page 1 of the exam