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XTest InformationGuide:College-LevelExaminationProgram 2015-16College Algebra 2015 The College Board. All rights reserved. College Board, College-Level ExaminationProgram, CLEP, and the acorn logo are registered trademarks of the College Board.
CLEP TEST INFORMATIONGUIDE FOR COLLEGE ALGEBRAfees. Exams are administered at military installationsworldwide through computer-based testing programs.Approximately one-third of all CLEP candidates aremilitary service members.History of CLEPSince 1967, the College-Level Examination Program(CLEP ) has provided over six million people withthe opportunity to reach their educational goals.CLEP participants have received college credit forknowledge and expertise they have gained throughprior course work, independent study or work andlife experience.2014-15 National CLEP Candidates by Age*Under 1811%30 years and older24%Over the years, the CLEP examinations have evolvedto keep pace with changing curricula and pedagogy.Typically, the examinations represent material taughtin introductory college-level courses from all areasof the college curriculum. Students may choose from33 different subject areas in which to demonstratetheir mastery of college-level material.18-22 years43%23-29 years22%* These data are based on 100% of CLEP test-takers who responded to thissurvey question during their examinations.2014-15 National CLEP Candidates by GenderToday, more than 2,900 colleges and universitiesrecognize and grant credit for CLEP.41%Philosophy of CLEPPromoting access to higher education is CLEP’sfoundation. CLEP offers students an opportunity todemonstrate and receive validation of theircollege-level skills and knowledge. Students whoachieve an appropriate score on a CLEP exam canenrich their college experience with higher-levelcourses in their major field of study, expand theirhorizons by taking a wider array of electives andavoid repetition of material that they already know.59%Computer-Based CLEP TestingThe computer-based format of CLEP exams allowsfor a number of key features. These include: a variety of question formats that ensure effectiveassessment real-time score reporting that gives students andcolleges the ability to make immediate creditgranting decisions (except College Composition,which requires faculty scoring of essays twice amonth) a uniform recommended credit-granting score of50 for all exams “rights-only” scoring, which awards one point percorrect answer pretest questions that are not scored but providecurrent candidate population data and allow forrapid expansion of question poolsCLEP ParticipantsCLEP’s test-taking population includes people of allages and walks of life. Traditional 18- to 22-year-oldstudents, adults just entering or returning to school,high-school students, home-schoolers andinternational students who need to quantify theirknowledge have all been assisted by CLEP inearning their college degrees. Currently, 59 percentof CLEP’s National (civilian) test-takers are womenand 46 percent are 23 years of age or older.For over 30 years, the College Board has worked toprovide government-funded credit-by-examopportunities to the military through CLEP. Militaryservice members are fully funded for their CLEP exam2
CLEP Exam DevelopmentThe CommitteeContent development for each of the CLEP examsis directed by a test development committee. Eachcommittee is composed of faculty from a widevariety of institutions who are currently teachingthe relevant college undergraduate courses. Thecommittee members establish the test specificationsbased on feedback from a national curriculumsurvey; recommend credit-granting scores andstandards; develop and select test questions; reviewstatistical data and prepare descriptive material foruse by faculty (Test Information Guides) and studentsplanning to take the tests (CLEP Official Study Guide).The College Board appoints standing committees ofcollege faculty for each test title in the CLEP battery.Committee members usually serve a term of up tofour years. Each committee works with contentspecialists at Educational Testing Service to establishtest specifications and develop the tests. Listedbelow are the current committee members and theirinstitutional affiliations.College faculty also participate in CLEP in otherways: they convene periodically as part ofstandard-setting panels to determine therecommended level of student competency for thegranting of college credit; they are called upon towrite exam questions and to review exam forms; andthey help to ensure the continuing relevance of theCLEP examinations through the curriculum surveys.Mark A. Crawford,ChairWaubonsee CommunityCollegeBorislava GutartsCalifornia State University— Los AngelesDerek MartinezUniversity of New MexicoThe primary objective of the committee is to producetests with good content validity. CLEP tests must berigorous and relevant to the discipline and theappropriate courses. While the consensus of thecommittee members is that this test has high contentvalidity for a typical introductory College Algebracourse or curriculum, the validity of the content for aspecific course or curriculum is best determinedlocally through careful review and comparison oftest content, with instructional content covered in aparticular course or curriculum.The Curriculum SurveyThe first step in the construction of a CLEP exam isa curriculum survey. Its main purpose is to obtaininformation needed to develop test-contentspecifications that reflect the current collegecurriculum and to recognize anticipated changes inthe field. The surveys of college faculty areconducted in each subject every few years dependingon the discipline. Specifically, the survey gathersinformation on: the major content and skill areas covered in theequivalent course and the proportion of the coursedevoted to each area specific topics taught and the emphasis given toeach topic specific skills students are expected to acquire andthe relative emphasis given to them recent and anticipated changes in course content,skills and topics the primary textbooks and supplementary learningresources used titles and lengths of college courses thatcorrespond to the CLEP examThe Committee MeetingThe exam is developed from a pool of questionswritten by committee members and outside questionwriters. All questions that will be scored on a CLEPexam have been pretested; those that pass a rigorousstatistical analysis for content relevance, difficulty,fairness and correlation with assessment criteria areadded to the pool. These questions are compiled bytest development specialists according to the testspecifications, and are presented to all the committeemembers for a final review. Before convening at atwo- or three-day committee meeting, the membershave a chance to review the test specifications andthe pool of questions available for possible inclusionin the exam.3
Recommendation of the AmericanCouncil on Education (ACE)At the meeting, the committee determines whetherthe questions are appropriate for the test and, if not,whether they need to be reworked and pretestedagain to ensure that they are accurate andunambiguous. Finally, draft forms of the exam arereviewed to ensure comparable levels of difficulty andcontent specifications on the various test forms. Thecommittee is also responsible for writing anddeveloping pretest questions. These questions areadministered to candidates who take the examinationand provide valuable statistical feedback on studentperformance under operational conditions.The American Council on Education’s CollegeCredit Recommendation Service (ACE CREDIT)has evaluated CLEP processes and procedures fordeveloping, administering and scoring the exams.Effective July 2001, ACE recommended a uniformcredit-granting score of 50 across all subjects (withadditional Level-2 recommendations for the worldlanguage examinations), representing theperformance of students who earn a grade of C in thecorresponding course. Every test title has aminimum score of 20, a maximum score of 80 and acut score of 50. However, these score values cannotbe compared across exams. The score scale is set sothat a score of 50 represents the performanceexpected of a typical C student, which may differfrom one subject to another. The score scale is notbased on actual performance of test-takers. It isderived from the judgment of a panel of experts(college faculty who teach an equivalent course) whoprovide information on the level of studentperformance that would be necessary to receivecollege credit in the course.Once the questions are developed and pretested,tests are assembled in one of two ways. In somecases, test forms are assembled in their entirety.These forms are of comparable difficulty and aretherefore interchangeable. More commonly,questions are assembled into smaller,content-specific units called testlets, which can thenbe combined in different ways to create multiple testforms. This method allows many different forms tobe assembled from a pool of questions.Test SpecificationsTest content specifications are determined primarilythrough the curriculum survey, the expertise of thecommittee and test development specialists, therecommendations of appropriate councils andconferences, textbook reviews and other appropriatesources of information. Content specifications takeinto account: the purpose of the test the intended test-taker population the titles and descriptions of courses the test isdesigned to reflect the specific subject matter and abilities to be tested the length of the test, types of questions andinstructions to be usedOver the years, the CLEP examinations have beenadapted to adjust to changes in curricula andpedagogy. As academic disciplines evolve, collegefaculty incorporate new methods and theory intotheir courses. CLEP examinations are revised toreflect those changes so the examinations continue tomeet the needs of colleges and students. The CLEPprogram’s most recent ACE CREDIT review washeld in June 2015.The American Council on Education, the majorcoordinating body for all the nation’s higher educationinstitutions, seeks to provide leadership and a unifyingvoice on key higher education issues and to influencepublic policy through advocacy, research and programinitiatives. For more information, visit the ACECREDIT website at www.acenet.edu/acecredit.4
CLEP Credit Grantingthe capabilities of the typical A student, as well asthose of the typical B, C and D students.* Expectedindividual student performance is rated by eachpanelist on each question. The combined average ofthe ratings is used to determine a recommendednumber of examination questions that must beanswered correctly to mirror classroom performanceof typical B and C students in the related course.The panel’s findings are given to members of the testdevelopment committee who, with the help ofEducational Testing Service and College Boardpsychometric specialists, make a final determinationon which raw scores are equivalent to B and C levelsof performance.CLEP uses a common recommended credit-grantingscore of 50 for all CLEP exams.This common credit-granting score does not mean,however, that the standards for all CLEP exams arethe same. When a new or revised version of a test isintroduced, the program conducts a standard settingto determine the recommended credit-granting score(“cut score”).A standard-setting panel, consisting of 15–20 facultymembers from colleges and universities across thecountry who are currently teaching the course, isappointed to give its expert judgment on the levelof student performance that would be necessary toreceive college credit in the course. The panelreviews the test and test specifications and defines*Student performance for the language exams (French, German and Spanish)is defined only at the B and C levels.5
College AlgebraDescription of the Examination25%The College Algebra examination covers materialthat is usually taught in a one-semester collegecourse in algebra. Nearly half of the test is madeup of routine problems requiring basic algebraicskills; the remainder involves solving nonroutineproblems in which candidates must demonstratetheir understanding of concepts. The test includesquestions on basic algebraic operations; linearand quadratic equations, inequalities and graphs;algebraic, exponential and logarithmic functions;and miscellaneous other topics. It is assumed thatcandidates are familiar with currently taught algebraicvocabulary, symbols and notation. The test placeslittle emphasis on arithmetic calculations. However,an online scientific calculator (nongraphing) willbe available during the examination.Algebraic OperationsOperations with exponentsFactoring and expanding polynomialsOperations with algebraic expressionsAbsolute valueProperties of logarithms25%Equations and InequalitiesLinear equations and inequalitiesQuadratic equations and inequalitiesAbsolute value equations and inequalitiesSystems of equations and inequalitiesExponential and logarithmic equations30%Functions and Their Properties*Definition, interpretation and representation/modeling (graphical, numerical,symbolic, verbal)Domain and rangeEvaluation of functionsAlgebra of functionsGraphs and their properties (includingintercepts, symmetry, transformations)Inverse functions20%Number Systems and OperationsReal numbersComplex numbersSequences and seriesFactorials and Binomial TheoremThe examination contains approximately60 questions to be answered in 90 minutes.Some of these are pretest questions that will notbe scored. Any time candidates spend on tutorialsand providing personal information is in additionto the actual testing time.Knowledge and Skills RequiredQuestions on the College Algebra examinationrequire candidates to demonstrate the followingabilities in the approximate proportions indicated. Solving routine, straightforward problems(about 50 percent of the examination) Solving nonroutine problems requiring anunderstanding of concepts and the applicationof skills and concepts (about 50 percent ofthe examination)The subject matter of the College Algebraexamination is drawn from the following topics.The percentages next to the main topics indicate theapproximate percentage of exam questions on thattopic.*Each test may contain a variety of functions, including linear,polynomial (degree 5), rational, absolute value, power,exponential, logarithmic and piecewise-defined.6
C O L L E G EA L G E B R ASample Test Questions2. Which of the following is a factor of?The following sample questions do not appear onan actual CLEP examination. They are intended togive potential test-takers an indication of the formatand difficulty level of the examination and toprovide content for practice and review. Knowingthe correct answers to all of the sample questionsis not a guarantee of satisfactory performance onthe exam.(A)(B)(C)(D)(E)Directions: An online scientific calculator will beavailable for the questions in this test.3.Some questions will require you to select fromamong five choices. For these questions, select theBEST of the choices given.(A)(B)(C)(D)(E)Some questions will require you to type a numericalanswer in the box provided.Notes: (1) Unless otherwise specified, the domainof any function f is assumed to be theset of all real numbers x for whichf (x) is a real number.(2) i will be used to denote4. The radius of the Sun is approximately109 meters, and the radius of an oxygen atomis approximately 10 12 meter. The radius ofthe Sun is approximately how many times theradius of an oxygen atom?.(3) Figures that accompany questions areintended to provide information usefulin answering the questions. All figureslie in a plane unless otherwise indicated. The figures are drawn as accurately as possible EXCEPT when itis stated in a specific question that thefigure is not drawn to scale. Straightlines and smooth curves may appearslightly jagged on the screen.(A)(B)(C)(D)(E)5. Where defined,1. Which of the following expressions isequivalent to (3 5b)2 ?(A)(B)(C)(D)(E)10 2110 310310910219 25b29 25b29 15b 25b29 30b 25b29 30b 25b2(A)(B)(C)(D)(E)7
C O L L E G EA L G E B R A10. A ball is dropped from a height of h feet andrepeatedly bounces off the floor. After eachbounce, the ball reaches a height that is of6. Which of the following are solutions of theequation 2 x 3 3x 5 14 ?11and x 2311(B) x and x 2335(C) x and x 2335(D) x and x 23(A) x the height from which it previously fell. Forexample, after the first bounce, the ball reachesa height offeet. Which of the followingrepresents the total number of feet the balltravels between the first and the sixth bounce?(A)(E) x 2 and x 7(B)7. Of the following, which is greatest?(C)(A)(B)(D)(C)(D)(E)(E)8. For any positive integer9. Which of the following is equal to?(A)11. The graph shows an exponential function fin the xy-plane. The function g is defined byg ( x ) 2 x . Complete each sentence in the tableby indicating the correct relationship betweenthe two values.(B)(C)lessthan(D)(E)8greaterthanequaltof ( a ) isg ( a ).f (b) isg ( b ).f (0) isg(0).
C O L L E G EA L G E B R A12. Which of the following defines the interval ofreal numbers [ -4, 2] ?(A) x - 0 2(B)(C)x 1 3x 1 ?³ 3(D) x - 4 2(E)x-4 ³215. The graph of the line with equationis shown above. Which of the following mustbe true?13. Which of the following are the solutions of theequation?(A)(A)(B)(C)(D)(E)(B)(C)(D)(E)16. What are all the values of b for whichthe equation 9 x 2 bx 1 0 has noreal solutions?(A)(B)(C)(D)(E)b -6 or b 6b -6 or b 6b - 6 or b ?³ 6-6 b 6-6 b 617. Which quadrants of the xy-plane contain points?of the graph of14. The shaded region in the figure above representsthe intersection of the graphs of,and which of the following inequalities?(A)(B)(C)(D)(E)(A)(B)(C)(D)(E)9I, II, and III onlyI, II, and IV onlyI, III, and IV onlyII, III, and IV onlyI, II, III, and IV
C O L L E G EA L G E B R A18. Joe invests 40,000 and, at the same time, Tominvests 10,000. The value of Joe’s investmentdecreases by 4,000 per year, while the value ofTom’s investment increases by 1,000 per year.Which of the following systems of equationscould be used to find the number of years, t,that it will take for the values, v, of the two investments to be equal?22. If, then each of the following mustbe true EXCEPT(A)(B)(C)(D)(A)(B)(C)(E)23. The illuminance of a surface varies inversely withthe square of its distance from the light source.If the illuminance of a surface is 120 lumens persquare meter when its distance from a certainlight source is 6 meters, by how many metersshould the distance of the surface from thesource be increased to reduce its i lluminance to30 lumens per square meter?(D)(E)19. Which of the following is an equation of theline that passes through the points ( 2, 1) and(1, 2) in the xy-plane?(A)(B)(C)(D)(E)xxxxx 3y 3y 3y- 3y- 3y(A) 3(B) 6(C) 12(D) 15(E) 18 1 5 -5 -5 -124. What are all real values of x for which?20. If x is an irrational number, which of thefollowing statements must be true?(A)(B)(C)(D)(E)(A)only(B)only(C)and(D)and(E) There are no real solutions.x 3 is an irrational number.x 2 is an irrational number.x x is an irrational number.x 2 is a rational number.x x is a rational number.21. Whenis expressed in the form25. Indicate whether each statement is always true,never true, or sometimes true for the real numbersa and b.,what is the value of a?Statementa b a ba b a ba b a ba b a b10Always Never SometimesTrueTrueTrue
C O L L E G EA L G E B R A30. If the first term of a geometric sequence isand the second and third terms are26. The table above gives some of the values of a5th degree polynomial p(x). Based on thevalues shown, what is the minimum number ofreal roots of the equation p(x) 0 ?(A)(B)(C)(D)(E)and ,respectively, which of the following representsthe nth term of the sequence?(A)OneTwoThreeFourFive(B)(C)(D)27. The number of bricks in the bottom row of abrick wall is 49. The next row up from the bottom contains 47 bricks, and each subsequentrow contains 2 fewer bricks than the row immediately below it. The number of bricks inthe top row is 3. If the wall is one brick thick,what is the total number of bricks in the wall?(E)31. A clothing company has budgeted 58,000for the purchase of 7 sewing machines. The7 sewing machines are to be chosen from twomodels, model X and model Y. If a model Xsewing machine costs 8,000 and a model Ysewing machine costs 9,000, how manymodel X sewing machines should the companypurchase to use exactly the budgeted money?28. Which of the following is the expansion of(A) 2( 2 x 3)3 ?(A)(B)(C)(D)(E)29. If(B) 3(C) 4(D) 5(E) 62 x 3 3( 2 x 2 ) 3( 2 x ) 12 x 3 3( 2 x 2 ) 32 ( 2 x ) 32 x 3 3( 2 x 2 ) 32 ( 2x ) 33( 2 x )3 3( 2 x )2 32 ( 2x ) 33( 2 x )3 32 ( 2 x )2 33 ( 2 x ) 33is a root of the equation, what is the value of a ?32. The graph of the function f is shown above.What is the value of f (f (l)) ?(A) 1 (B) 0(C) 1(D) 2(E) 433. In the xy-plane, what is the x-intercept of thegraph of?11
C O L L E G E34. Which of the following define y as a functionof x ?A L G E B R A37. IfI.(A)(B)(C)(D)(E)II.III.and, then5xx 26x 16x 26x2 x 138. If log4 (y 2) 3, what is the value of y ?(A)(B)(C)(D)(E)35. If(A) 10NoneI and II onlyI and III onlyII and III onlyI, II, and III39. A colony of bacteria starts with 2 bacteria atnoon. If the number of bacteria triples every30 minutes, how many bacteria will be presentat 3:00 p.m. on the same day?, then x (A)486(B)729(C)1,458(D) 46,656(E) 118,09836. Select two of the following choices and placethem in the blanks below so that the resultingstatements are true.M (t ) 210(0.89)t0 W M (t ) 11( 210)t(B) 62 (C) 64 (D) 79 (E) 83W15540. Which of the following must be true?I. log3 3t tII. ln104.3 4.3 ln 10III. log10 xy n log10 x n log10 y for allpositive numbers x and y11728( )A patient takes a 210-milligram dose ofmedicine. The amount of medicine present inthe body decreases by 11 percent each hourafter it is taken. The amount of medicine Mpresent in the body t hours after the medicineis taken can be modeled by the function. According to themodel, milligrams of themedicine are present in the body 5 hours afterthe medicine is taken.(A)(B)(C)(D)(E)12I onlyII onlyI and II onlyII and III onlyI, II, and III
C O L L E G E41. Ifand f 1 denotes theinverse function of f , then(A)A L G E B R A43. In the xy-plane, the point (8, 10) lies on thegraph of the function y f (x). Which of thefollowing points must lie on the graph of thefunction y 2 f ( x 3) 5 ?(A) (5, 10)(B) (5, 15)(B)(C) (5, 25)(C)(D) (11, 15)(E) (11, 25)(D)(E)(A)(B)(C)(D)(E)42.(A)(B)(C)(D)(E)(i 1)(3 - i ) (2i - 1) 44.-61 4i2 4i3 4i4 2i45. The population of a small town is modeled by antexponential function of the form p(t) ab ,where t represents the number of years since2010. The population of the town was recordedas 425 in 2010 and 612 in 2012. Based on thedata for the years 2010 and 2012, what is thevalue of b in the model?13
C O L L E G EA L G E B R A46. Which of the following, when added to 4a2 9,will result in a perfect square for all integervalues of a ?(A) 0(B) 3a (C) 6a (D) 9a (E) 12a47. For what values of x will (x, y) be a solution ofthe system of equations above?(A)(B)(C)(D)(E)x -4 and x 3x -4 and x 5x -3 and x 4x 1 and x 5The system has no solution.49. The function f above has an inverse function forwhich of the following values of a and b ?(A)(B)(C)(D)(E) -1, b -2-1, b 20, b -11, b -21, b 250. For the function g(x) log2 x, which of thefollowing must be true?I. The domain is [0, ).II. The range is ( , )III. g(x) increases with increasing values of x.(A)(B)(C)(D)(E)48. A company’s daily cost c, in hundreds ofdollars, to manufacture n items of a certainproduct can be modeled by the function c(n).According to the model, which of the followingis the best interpretation of c-1 (5) 80, wherec-1 is the inverse function of c?(A) The company’s daily cost to manufacture5 items of the product is 80.(B) The company’s daily cost to manufacture5 items of the product is 8,000.(C) The company’s daily cost to manufacture500 items of the product is 80.(D) The company’s daily cost to manufacture80 items of the product is 5.(E) The company’s daily cost to manufacture80 items of the product is 500.aaaaaIII onlyI and II onlyI and III onlyII and III onlyI, II, and III51. A rectangular box has volume x3 8 cubicinches. If the height of the box is x 2 inches,what is the area of the base of the box, in squareinches? (The volume of a box equals the area ofthe base times the height.)(A) x 2 4(B) x 2 2 x 4(C) x 2 2 x 4(D) x 2 2 x 4(E) x 2 4 x 414
C O L L E G E52. If y 8 x 2 4 x 1 is expressed in the formy a ( x h) 2 k , where a, h, and k areconstants, what is the value of k ?A L G E B R A55. log5125 — log22 (A) 3(B) 2(C) 32(D) 1716(E) 1253. If b and c are integers such that the equation3 x 2 bx c 0 has only one real root, whichof the following statements must be true?I. b is even.II. c is odd.III. b 2 is a multiple of 3.(A)(B)(C)(D)(E)I onlyIII onlyI and II onlyI and III onlyI, II, and III56. In the figure shown above, the graph of thefunction g is a transformation of the graph ofthe function f . Which of the following is theequation of g ?(A) g ( x ) 1 x 2 32(B) g ( x ) 1 ( x 2) 22(C) g ( x ) 1 ( x 2) 222(D) g ( x ) 1 ( x 2)2(E) g ( x ) 1 ( x 2) 2254. A rock is thrown straight up into the air from aheight of 4 feet. The height of the rock abovethe ground, in feet, t seconds after it is thrownis given by 16t 2 56t 4. For how manyseconds will the height of the rock be at least28 feet above the ground?(A)(B)(C)(D)(E)0.51.52.53.03.5 3 3 3 357. The polynomial p ( x) x3 2 x 11 has a realzero between which two consecutive integers?(A)(B)(C)(D)(E)150 and 11 and 22 and 33 and 44 and 5
C O L L E G E58. Which of the following could be the graph ofy ax 2 bx c, where b 2 4ac 0 ?(A)(B)(C)A L G E B R A60. The sum of the first n terms of an arithmeticsequence a1 , a2 , a3 , , an is 1 n a1 an ,2where a1 and an are the first and the nth termsof the sequence, respectively. What is the sumof the odd integers from 1 to 99, 2,55061. The function f is defined for all real numbers xax 2 bx c, where a , b , and c areby f ( x) constants and a is negative. In the xy-plane, thex-coordinate of the vertex of the parabolay f (x) is –1. If t is a number for whichf (t ) f (0), which of the following must betrue?(E)I. 2 t 0II. f (t ) f ( 2)III. f (t ) f (1)(A)(B)(C)(D)(E)59. Consider each function below. Is the domain ofthe function the set of all real numbers?FunctionYesNof ( x ) x2 – 1x 22g( x ) xx 1h( x ) xx 3216I onlyII onlyI and III onlyII and III onlyI, II, and III
C O L L E G Exh( x ) 35 2 42cA L G E B R A65. What is the remainder when the polynomial9x 23 7x12 2x 5 1 is divided by x 1 ?(A) 19(B) 13(C) 7(D)1(E) 1162. The table above shows some values of thefunction h , which is defined for all realnumbers x . If h is an odd function, what is thevalue of c ?f ( x) x 166.(A) 5(B) 4(C) 2(D) 2(E) 4g ( x) 2 xFunctions f and g are defined as shown above.What is the domain of the function f g ?1010n 1n 1(A)(B)(C)(D)(E)63. If an 50, what is the value of ( 4an 3) ?(A) 53(B) 80(C) 203(D) 223(E) 23067. In the xy-plane, the line given by which ofthe following is perpendicular to the line5x 2 y 7 ?(A)(B)(C)(D)(E)64. If z 1 i and z denotes the complexconjugate of z , which of the following points inthe complex plane above represents z z ?(A)(B)(C)(D)(E)x 0x 1x 2 1 x 2 2 x 1ABCDE172x 5y 72x 5y 75x 2 y 75x 2 y 105x 5y 10
C O L L E G EA L G E B R A68. Which of the following statements aboutthe polynomial p ( x) ( x 4) 2 ( x 2 4)are true?71. If(A)(B)(C)(D)(E)I. The polynomial has two imaginary roots.II. The polynomial has no real roots.III. The polynomial has four complex roots,counting multiplicities.(A)(B)(C)(D)(E)I onlyII onlyIII onlyI and III onlyI, II, and III72. What is the solution of the equation(A)(B)(C) 2(D) 3(E) 8C ( x) 1200 1000 x69.R ( x) 1200 x x 2For a certain company, the functions shownabove model the cost C of producing x units of aproduct and the revenue R from selling x units ofthe same product. The profit function P is equalto R C. Which of the following defines thefunction P ?(A)(B)(C)(D)(E)P( x) x 2 200 x 1200P( x) x 2 200 x 1200P( x) x 2 200 x 1200P ( x) x 2 2200 x 1200P ( x) x 2 2200 x 120070. Which of the following is equivalent to(A) 6 4 6(B) 4 6(C) 6(D) 6(E) 1what is the value of x ?436?6273. The function f is defined by f ( x) x 3.Which of the following is equal to f ( x 5 ) ?(A)(B)(C)(D)(E)74. The population of a certain city was 10,200 onJanuary 1, 2013. If the population increases by8 percent per year for the next 3 years, which ofthe following best approximates the populationof the city on January 1, 2016 ?(A)(B)(C)(D)(E)18
C O L L E G Efor the function75. What is the value of ff (x) log10 10 9x (x 2)(x 1) ?A L G E B R A78. When the quadratic functions below are graphedin the xy-plane, is the vertex for each functionabove the x-axis, below the x-axis, or on thex-axis?FunctionAboveBelowOnf76. Ifwhich of the followingexpresses x as a base ten logarithm?f(A)f(B)f(C)(D)(E)77. The owner of a small restaurant earned a profitof 300 during the first month of operation.According to the business model for the next12 months, it is projected that the profit for eachmonth after the first will be 50 more than theprofit for the preceding month. I
titles and lengths of college courses that correspond to the CLEP exam. The Committee. The College Board appoints standing committees of college faculty for each test title in the CLEP battery. Committee members usually serve a term of up to four years. Each committee works with content specialists at Educational Testing Service to establish
