Math 012 Final Examination Answer Sheet Fall 2016 Math 012 Intermediate Algebra Name______________________________ Final Examination: Fall 2016 Instructor __________________________ 1 Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and show your work on this document. You must show your work to receive credit: answers given with no work shown will not receive credit. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all of the pages of your Answer Sheet - please make use of this option if it is available on your scanner. Whether you type your work or write it by hand, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement. Please sign (or type) your name below the following honor statement: I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination. Name _______________ Date___________________ Math 012 Final Examination Answer Sheet Problem Number Fall 2016 Solution WORK: 1 ANSWER: WORK: 2 ANSWER: WORK: 3 ANSWER: 2 Math 012 Final Examination Answer Sheet WORK: 4 ANSWER: WORK: 5 ANSWER: WORK: 6 ANSWER: Fall 2016 3 Math 012 Final Examination Answer Sheet WORK: 7 ANSWER: WORK: ANSWER: 8 Fall 2016 4 Math 012 Final Examination Answer Sheet WORK: 9 ANSWER: WORK: 10 ANSWER: WORK: 11 ANSWER: Fall 2016 5 Math 012 Final Examination Answer Sheet WORK: 12 ANSWER: WORK: 13 ANSWER: WORK: 14 ANSWER: Fall 2016 6 Math 012 Final Examination Answer Sheet WORK: 15 ANSWER: WORK: 16 ANSWER: WORK: 17 ANSWER: Fall 2016 7 Math 012 Final Examination Answer Sheet WORK: 18 ANSWER: WORK: 19 ANSWER: WORK: 20 ANSWER: Fall 2016 8 Math 012 Final Examination Answer Sheet WORK: 21 ANSWER: WORK: 22 ANSWER: WORK: 23 ANSWER: Fall 2016 9 Math 012 Final Examination Answer Sheet WORK: 24 ANSWER: WORK: 25 ANSWER: Fall 2016 10 Math 012 Makeup B Final Exam Fall 2016 ID: 22 o v2Z0O1x6V UKxuStYaD bS\\okfktZwka\ UeA gLHLFCc.V m \\AVlnlE rrfiUglhVtZsD OrEeusuefr]vSeSdi. Solve each equation. 1) 4 + 2(-1 - 5x) = 4(-2x + 8) 2) - 26 5 3 = n+1-2 7 4 4 Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line. 3) -6b + 4(b + 1) -5(b - 2) 6 1 33 4) - a - 1 > 5 4 20 Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. 5) -21 5 p + 4 < 29 6) - 6 3 3 <- b< 5 5 10 Write the standard form of the equation of the line described. 4 7) through: (-4, 5), perpendicular to y = x - 3 9 Rewrite the equation in slope-intercept form and then use the slope and y-intercept to sketch a graph of the line with the given equation. 8) 4x - 5 y = -15 Worksheet by Kuta Software LLC -1- Z y2W0y1N6k rKpuOtBaE [SBoHfItnw]awrXe] XLGLECc.g r AAHlXlH ArWi\\gth\\tBsX DrqeRsEearqv^ejdi.M x yMvaKdzeq zwGiZt\\hJ YIJnIfkiUnPiotNeV kAXlJgUeWbCrba[ y1t. Show all work as you solve the linear modeling problem below. 9) There were 5620 CVS stores in the US in 2006 and 8016 CVS stores in the US in 2014. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 2006 and let y = the number of CVS stores in the US. Simplify. Your answer should contain only positive exponents. 5 3 10) 4x y 2x y 4 3 -2 11) 4x y 0 4 4 -3 yx -x y -4 3 2 12) (-2u v ) 4 4 -4 13) (2x y ) 2 yx 4 Perform the indicated operation and simplify. 14) (8x - 5x 2 + 2x 3 ) - ( x 2 - 2x + 5x 3 ) Multiply as indicated and simplify. 15) (8v - 6)(5v 2 + v - 5) Solve the equation by factoring. 16) 3n 2 - 20n = 7 Solve the equation by completing the square. 17) n 2 + 10n - 44 = 11 Worksheet by Kuta Software LLC -2- r m2B0j1r6g ^KNustwaA MSMoRfZtHwCairTeu ALiLlC_.M \\ eA^lxlC hr\\iLgIhgtUsO fr\\eesceCr[vqe\\dV.V ^ HM^andieA awBiTtohE XIdnzfTiIniiQtTee ]AQlugwefbbrKaJ f1_. Solve the equation by use of the quadratic formula. 18) 4b 2 - 2b = 4 State the excluded values for the following expression. Then simplify the expression. 19) x 2 + 4x - 21 x 2 - 3x - 70 Solve the equation and show the check of the potential answer(s). If any answers are excluded values, state this on your answer sheet. 20) 1 + 1 n 2 + 6n + 8 = n 2 - 4n + 3 n 2 - 4n + 3 Simplify the radical expressions. 21) 288m 3 n 4 p 22) (-2 + 5 )(-3 + 5) Solve the equation and show the check of the potential answer(s). If any answers are extraneous solutions, state this on your answer sheet. 23) -4 + 4x + 37 = x Worksheet by Kuta Software LLC -3- N p2]0]1H6l KKPu\\t_aH [SuoFfTt_wuaorReY kLzLPCA.c h xAzlRl_ crmihgihktVsR OrYeysKeRruvjehdg.F g dMMaidheZ sweiktyhG hIenAfCi]nAietXeY eAVl[gSe`bcrDau r1p. Show all work as you solve the following problems and write complete answers, including appropriate units. 24) Eugene left the White House and drove toward the ferry office at an average speed of 50 mph. Amy left one hour later and drove in the same direction but with an average speed of 60 mph. How long did Eugene drive before Amy caught up? 25) Andrea put $44,000 in an education account on the day her daughter was born. If the account earned 6.15% interest compounded monthly, what was the total in the account when her daughter turned 18? Round the final answer to the nearest cent. Worksheet by Kuta Software LLC -4- L L2m0`1c6i qKFuWtZaC `SHoVfNt]wOaArSeP pLyLBCY.[ h mAglvlw wrWidgoh_tqsb [rceFsfe_rqvteLdu.L k dMsaAdmeX TwIiEt[hT fIfnffEionHiBtAew tAYlggTe[brrbaR n1