Math 012 - Fall 2016 Mid-Term Exam Name________________________________ This exam is worth 100 points. There are 16 problems. The point value of each problem is listed after the problem number. This exam is open book and open notes, and you may take as long as you like on it provided that you submit the quiz 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. If you have any questions, please contact me by e-mail (eric.nardo@faculty.umuc.edu). At the end of your quiz 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 quiz myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz. Name: Date: Remember to show ALL of your work on every problem. If there is no work to show, then include a sentence or two explaining your answer. Here are the basic rules of showing work: a) Each step should show the complete expression or equation rather than a piece of it. b) Each new step should follow logically from the previous step, following rules of algebra. c) Each new step should be beneath the previous step. d) The equal sign, =, should only connect equal numbers or expressions. If you have questions about showing work, please ask. Math 012 - Fall 2016 Mid-Term Exam 1) (6 pts) Solve the equation: Page 2 15 x 4 x = + 12 4 6 2) (6 pts) Jaime wins $225,000 (after taxes) in the lottery and decides to invest it in a 5-year CD that pays 2% interest compounded quarterly. How much money will the CD be worth after the 5-year period? Show all of your work. Round to the nearest cent. 3) (6 pts) Two friends standing back-to-back on the sidewalk start walking in opposite directions at constant speeds of 4 miles/hour and 5 miles/hour, respectively. How long will it take them to be 3 miles apart from each other? (Show the algebra. Include the units in your answer and show all of your work). Math 012 - Fall 2016 Mid-Term Exam Page 3 4) (6 pts) The length of three sides of a triangle are consecutive even integers and the perimeter of the triangle is 156 feet. Find the length of each of the three sides. (Show the algebra. Include the units in your answer and show all of your work). 5) (6 pts) In a room containing 228 students there are three times as many girls as there are boys. How many girls and how many boys are in the room? (Show the algebra). 6) (10 pts) Given the points (2, 4) and (5, -2): a) (2 pts) Find the slope of the line through the points. b) (2 pts) Write an equation in point-slope form of the line through the points. c) (2 pts) Write the equation in slope-intercept form. d) (2 pts) Convert the equation to standard form. Math 012 - Fall 2016 Mid-Term Exam Page 4 e) (2 pts) Graph 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 7) (6 pts) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: 2 3 x1<8 exam