Midterm Exam

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Mathematics

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Math 012 Midterm Exam Professor: Dr. Tiffany DePriter Name________________________________ Instructions: • • • • • The exam is worth 100 points. There are 15 questions. 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 (tiffany.depriter@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: 1) Simplify the expression: Date: ( −42 − 2 52 − 33 6 − 2 − 12 2) Solve the equation: 6 ( x − 4) = −9 ( 2 − x ) ) Math 012 Midterm Exam Page 2 3) Solve the equation: 3 ( 5x + 1) = 4 ( 6 x −1) − 3 (3x − 2 ) 4) Solve the equation: 3x + 4 2 x − 1 − =3 5 3 5) Solve the equation: 0.8x − 4.4 = 0.5x −1.4 Math 012 Midterm Exam Page 3 6) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: 4x − 9  9 x + 1 7) Solve the inequality. Write your answer in interval notation and graph the solution set on a 3 x 10 5x 6 − − + number line: 5 3 3 5 8) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: 5  4x − 3  15 Math 012 Midterm Exam Page 4 9) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: −14  7 − 3x  22 10) Amber paid $27,375 as a down payment for her house. If the down payment was 15% of the actual cost of the house, what was the actual cost? 11) After Sarah received a 5% raise, her annual salary was $71,400. What was her annual salary before the raise? Math 012 Midterm Exam Page 5 12) Marcus wins $800,000 (after taxes) in the lottery and decides to invest half of it in a 5-year CD that pays 5.24% interest compounded quarterly. He invests the other half in a money market fund that unfortunately turns out to average only 1.8% interest compounded annually over the 5year period. How much money will he have altogether in the two accounts at the end of the 5year period? 13) Line a has a slope of 6. If line b is perpendicular to line a, what is the slope of line b? 14) Given the points (5, -3) and (-7, 1): a) Find the slope of the line through the points. b) Write an equation in point-slope form of the line through the points. Math 012 Midterm Exam Page 6 c) Convert the equation to slope-intercept form. d) Convert the equation to standard form. e) 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 Math 012 Midterm Exam 15) Page 7 a) Write an equation of a vertical line through the point (-3, 5). b) Write an equation of a horizontal line through the point (-7, -2). c) Find the slope of a line parallel to the line with equation 3x - 7y = 21. d) Find the slope of a line perpendicular to the line with equation 2x + 3y = 5. Math 012 Midterm Exam Page 8 End of exam: please do not forget to write and sign (or type) the required statement explained on page 1 of the exam.
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