COASTLINE COMMUNITY COLLEGE MILITARY/CORPORATE EDUCATION MATH C115 MIDTERM EXAM FORM 1 INSTRUCTOR HAO NHIEN VU STUDENT NAME: ___________________________ COASTLINE STUDENT ID #: C________ PROCTOR SIGNATURE: __________________________ DATE:__________________________ Exam Instructions: Time Limit: Number of Questions: Number of Bonus Questions: May Any Books Be Used: May Any Notes Be Used: May Calculator Be Used: 3 Hours (180 minutes) 25 (To be completed in the space provided) 1 NO YES, an 8.5x11 sheet (both sides) of notes, with formulas, steps, procedures, etc. ONLY, NO EXAMPLES. PLEASE ATTACH AND SUBMIT WITH COMPLETED EXAM. YES. Graphing, Scientific, or basic calculator WRITE DIRECTLY ON THIS EXAM. PLEASE SHOW ALL WORK FOR CREDIT. 1. Student must print name and Coastline ID# in space above. 2. Show all work where indicated on exam. Please use dark pencil as exam will be faxed or scanned/emailed before it is mailed to Coastline. 3. Once exam is completed, please give exam to proctor. 4. Proctor must sign and date this page and return to Coastline as directed on Proctor instructions sheet. IMPORTANT! Students who are found to be cheating or violating the Academic Honesty policy may receive an \"F\" on this exam. Name________________________________ Student ID Number ___________________________ Date ______________________ MATH C115 College Algebra MIDTERM EXAM Form 1 (Chapters 1-5) 25 questions + 1 bonus E.C. * You must show your work on the test in the space provided. Work done elsewhere (such as scratch paper) will not be considered. * You are allowed (a) One 8.5x11 page of notes both sides (NO PROBLEMS; formulas and reminders only) and (b) a calculator (any type). * Turn in all papers (page of notes, scratch paper) with your Exam. Solve the equation. 1) 3(2x - 2) = 5(x + 3) Solve the problem. 2) Mary and her brother John collect foreign coins. Mary has twice the number of coins that John has. Together they have 120 foreign coins. Find how many coins Mary has. 1 Find the real solutions, if any, of the equation. (Hint: Use the quadratic formula.) 3) x2 - 8x - 7 = 0 Solve the problem. 4) The length of a vegetable garden is 5 feet longer than its width. If the area of the garden is 50 square feet, find its dimensions. Solve the equation in the complex number system. 5) x2 - 6x + 45 = 0 2 Find the real solutions of the equation. 6) 2x + 3 - x + 1 = 1 Solve the inequality. Express your answer using interval notation. 7) 6x + 6 5x + 13 Solve the equation. 8) |6x + 7| + 8 = 14 3 Solve the problem. 9) The manager of a candy shop sells chocolate covered peanuts for $7 per pound and chocolate covered cashews for $10 per pound. The manager wishes to mix 60 pounds of the cashews to get a cashew-peanut mixture that will sell for $9 per pound. Write an equation that would allow the manager to determine how many pounds of peanuts should be used. (Just write the equation. You do not need to solve it.) Graph the line containing the point P and having slope m. 10) P = (-6, -7); m = 1 4 Find an equation for the line, in slope-intercept form, containing the given points. 11) Containing the points (-4, 7) and (1, 5) Find the center (h, k) and radius r of the circle. (Graph is optional and ungraded.) 12) x2 + y2 - 6x - 6y - 18 = 0 5 Write a general formula to describe the variation. 13) The centrifugal force F of an object speeding around a circular course varies directly as the product of the object's mass m and the square of its velocity v and inversely as the radius of the turn r. Find the domain of the function. x-4 14) h(x) = x3 - 81x 6 The graph of a function f is given. Use the graph to answer the question. 15) Find the numbers, if any, at which f has a local maximum. 7 Graph the function. 16) x+2 f(x) = -3 if x 0 Find the vertical asymptotes of the rational function. x-7 22) f(x) = 49x - x3 10 Give the equation of the oblique asymptote, if any, of the function. x2 + 9x - 6 23) f(x) = x-5 Solve the inequality. x + 29
