Test Bank for College Algebra, 5th Edition

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TESTINGMANUALLAURIEHURLEYCOLLEGEALGEBRAFIFTHEDITIONJudith A. BeecherJudith A. PennaMarvin L. BittingerIndiana University Purdue University Indianapolis

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iiiCONTENTSI.ALTERNATE TESTS, FORMS A, B, C, D, E, and F .......................................................... 1There are six alternate test forms for each chapter and the final examination. Alternate TestForms A, B, C, and D are equivalent in length and difficulty. Synthesis questions occur atthe end of the Test Forms, and are separated from the rest of the test by a solid line.Synthesis questions are meant to be more challenging than the previous test questions, likethose problems found in the last part of each exercise set in the text. The synthesisquestions have been placed at the end to make it easy to omit them if the instructor wishesto do so.All questions on Test Forms E and F are multiple choice. Effort was made to make thewrong answers as logically wrong as possible. In most cases answers were constructed toavoid students doing backward reasoning.This Instructor’s Testing Manual is designed to accompanyCollege Algebra, 5e, by Beecher/Penna/Bittinger, 5e.Chapter 1 ................................................................................................................................ 1Chapter 2 .............................................................................................................................. 37Chapter 3 .............................................................................................................................. 61Chapter 4 .............................................................................................................................. 81Chapter 5 ............................................................................................................................ 105Chapter 6 ............................................................................................................................ 133Chapter 7 ............................................................................................................................ 161Chapter 8 ............................................................................................................................ 185II.FINAL EXAMINATIONS................................................................................................. 213III.ANSWER KEYS FOR ALTERNATE TESTS, FORMS A, B, C, D, E, and F ................ 265IV.ANSWER KEYS FOR FINAL EXAMINATIONS........................................................... 296Thanks are extended to Janis Cimperman for checking the accuracy of the manuscript, toMike Penna for producing the graphs, and to Kelly Barber for typing the manuscript.

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1CHAPTER 1NAME_____________________________TEST FORM ACLASS_____SCORE_____GRADE_________________________________________________________________________________1.Determine whether the ordered pair−43,5is a solution of theequation 3x– 8y= 21.2.Find the intercepts of623=−yxand graph the line.3.Find the distance between4, 8and–7, 6.4.Find the midpoint of the segment with endpoints1, 0and5,– 8.5.Find the center and the radius of the circle2269xy.6.Find an equation of the circle with center–2, 3and radius11.7.a)Determine whether the relation5, 5 ,4, 4 , 3,3 , 1, 1is a function. Answer yes or no.b)Find the domain of the relation.c)Find the range of the relation.8.Given that262fxxx, find each of the following.a)1fb)3fa9.Given that34xfxx, find each of the following.a)()4−fb)()3−fANSWERS1.2.See graph.3.4.5.6.7. a)b)c)8. a)b)9. a)b)

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2CHAPTER 1NAME_____________________________TEST FORM A____________________________________________________________________________ANSWERS10.11. a)b)12.13.14.15. a) See graph.b)c)10.Using the graph offat the right, find3 .f11.Determine whether each graph is that of a function. Answer yesor no.a)b)Find the domain of the function.12.24xfxx13.34gxx14.29h xx15.a)Graph:( )41+−=xxf.b)Visually estimate the domain of( )xf.c)Visually estimate the range of( )xf.

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3CHAPTER 1NAME_____________________________TEST FORM A______________________________________________________________________________ANSWERS16.17.18.19.20.21.22.23.24.25.Find the slope of the line containing the given points.16.4,– 2and–4, 617.4, 1and (–7, 1)18.–0.5, 8and–0.5, 319.The number of clients served by Scott’s Small Motor Repairs was260 in 2010. It grew to 320 in 2014. Find the average rate ofchange in number of clients from 2010 to 2014.20.Find the slope and they-intercept of the graph of 5x– 2y= –10.21.Total Cost. Kelly’s Deli charges $1.95 for a bagel with plaincream cheese plus $0.30 for each additional topping. Write anequation that can be used to determine the total cost,C(t), for abagel with plain cream cheese andtadditional toppings. Thenfind the total cost of a bagel with plain cream cheese and fouradditional toppings.22.Write an equation for a line withm= –3 andy-intercept53,0.23.Write an equation for the line that passes through3,– 2and7, 6.24.Write an equation of the horizontal line that passes through–8, 5.25.Determine whether the lines are parallel, perpendicular, orneither.yxyx235852=+−=+

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4CHAPTER 1NAME_____________________________TEST FORM A____________________________________________________________________________ANSWERS26.27.28.29.30.31.32.26.Find an equation of the line containing the point–2,– 5andparallel to the line 4x– 5y= 13.27.Find an equation of the line containing the point–2,– 5andperpendicular to the line 4x– 5y= 13.28.The table below shows the average price, in dollars, of adesktop PC at Johnson Office Supply in several recent years.Year,xAverage Price,P2006, 07252008, 26902010, 46002012, 65002014, 8415Model the data with a linear function using years 2 and 8 andpredict the average price in 2018 using this function. Round to thenearest dollar.Solve.29.1523=+−x30.xx1214512+=−31.246235nn+=−32.()()92834yy−=−+

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5CHAPTER 1NAME_____________________________TEST FORM A____________________________________________________________________________ANSWERS33.34.35.36.See graph.37.See graph.38.See graph.39.33.Parking lot dimensions. A parking lot has a perimeter of 500 ft.The width is 20 ft less than the length. Find the dimensions.34.Pricing. The Book Barn prices its paperbacks by raising thewholesale price 60% and then adding 50¢. What is the wholesaleprice of a paperback that sells for $7.96?35.Find the zero(s) of the functionfx= 3x+ 1.Solve and write interval notation for the solution set. Then graph thesolution set.36.610128xx−+>−37.2357x−<−≤38.325419xorx−≤ −+≥39.Country Plumbing charges a $25 transportation fee plus $50 perhour for a service call. Tip Top Plumbing charges $62.50 perhour for a service call. For how long a service call is CountryPlumbing the less expensive option?

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6CHAPTER 1NAME_____________________________TEST FORM AANSWERS40.41.40.Which of the following represents the graph of()14?2gxx=−A.B.C.D.41.Find the domain of42xfxx.

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7CHAPTER 1NAME_____________________________TEST FORM BCLASS_____SCORE_____GRADE_________________________________________________________________________________1.Determine whether the ordered pair−23,2is a solution of theequation 4y– 3x= 12.2.Find the intercepts of44=−yxand graph the line.3.Find the distance between4,– 3and6, 1.4.Find the midpoint of the segment with endpoints4,– 6and(–3,– 12).5.Find the center and the radius of the circle2252100xy.6.Find an equation of the circle with center8,– 1and radius3 .7.a)Determine whether the relation() () () (){}3,1,4,2,1,1,0,2−−−is a function. Answer yes or no.b)Find the domain of the relation.c)Find the range of the relation.8.Given that( )12++=xxxf, find each of the following.a)()2−fb)()3fa−9.Given that42xfxx, find each of the following.a)()2−fb)( )0fANSWERS1.2.See graph.3.4.5.6.7. a)b)c)8. a)b)9. a)b)

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8CHAPTER 1NAME_____________________________TEST FORM B____________________________________________________________________________ANSWERS10.11. a)b)12.13.14.15. a) See graph.b)c)10.Using the graph offat the right, find0 .f11.Determine whether each graph is that of a function. Answer yesor no.a)b)Find the domain of the function.12.26xfxx13.35gxx14.216h xx15.a)Graph:( )42−=xxf.b)Visually estimate thedomain of( )xf.c)Visually estimatethe range of( )xf.

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9CHAPTER 1NAME_____________________________TEST FORM B____________________________________________________________________________ANSWERS16.17.18.19.20.21.22.23.24.25.Find the slope of the line containing the given points.16.0, 5and0,– 817.–2, 6and–9,– 1118.0.3, 4and–5, 419.The enrollment at a school in 2006 was 55. In 2014, theenrollment was 145. Find the average rate of change inenrollment from 2006 to 2014.20.Find the slope and they-intercept of the graph of1256=−yx.21.Total Cost. Jackson Park Field Days charges a $5 entrance feeplus $1.25 per ride. Write an equation that can be used todetermine the total cost,,C rof going onrrides at Jackson ParkField Days. Then find the total cost of going on six rides.22.Write an equation for a line with23mandy-intercept0,– 4.23.Write an equation for the line that passes through–6, 5and10, 2.24.Write an equation of the vertical line that passes through()4.5,6.0−.25.Determine whether the lines are parallel, perpendicular, orneither.36125xyyx+==−

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10CHAPTER 1NAME_____________________________TEST FORM B____________________________________________________________________________ANSWERS26.27.28.29.30.31.32.26.Find an equation of a line containing the point–2, 6andparallel to the line 2x+y= 5.27.Find an equation of the line containing the point–2, 6andperpendicular to the line52=+yx.28.The table below shows the average number of lunches per day,sold for various years.Year,xLunches Sold,S2011, 0502012, 1652013, 2702014, 388Model the data with a linear function using years 1 and 3 andestimate the average number of lunches sold per day in 2017using this function. Round to the nearest whole number oflunches.Solve.29.2438−=+−x30.4334−=+−xx31.125223nn−= −+32.()()34827yy+=−−

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11CHAPTER 1NAME_____________________________TEST FORM B____________________________________________________________________________ANSWERS33.34.35.36.See graph.37.See graph.38.See graph.39.33.Room Dimensions. A rectangular room has a perimeter of 54 ft.The width is four-fifths of the length. What are the dimensions ofthe room?34.Amount of an Investment. Gary makes an investment at 4.5%simple interest. At the end of one year, the total value of theinvestment is $3448.50. How much was originally invested?35.Find the zero(s) of the function63fxx.Solve and write interval notation for the solution set. Then graph thesolution set.36.1836xx−>+37.5317x−≤+<38.5373514xorx+< −+≥39.Doreen’s Catering charges $150 for set up plus $12 per person forparties under 100 people. Jackson’s Catering charges $18 perperson for parties under 100 people. For what size party isJackson’s a better deal? Assume that the party will be under100 people.

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12CHAPTER 1NAME_____________________________TEST FORM BANSWERS40.41.40.Which of the following represents the graph of()22?3gxx=−A.B.C.D._________________________________________________________41.Find the domain of( )xxxf−=3.

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