CONTINUE. If 5 x+6 = 10,whatisthevalueof 10 x+3? A) 4 B) 9 C) 11 D) 20

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1 3 3 1 If 5 x+6 = 10,whatisthevalueof 10 x+3? A) 4 B) 9 C) 11 D) 0 x+ y = 0 3x y = 10 Whichofthefollowingorderedpairs ( x, y) satisfies the system of equations above? A) (3, ) B) (, ) C) (,) D) (, ) 3 4 A landscaping company estimates the price of a job, in dollars, using the expression 60+1 nh,where n isthenumberoflandscaperswhowillbeworking and h isthetotalnumberofhoursthejobwilltake using n landscapers. Which of the following is the best interpretation of the number 1 in the expression? A) Thecompanycharges$1perhourforeach landscaper. B) Aminimumof1landscaperswillworkon each job. C) Thepriceofeveryjobincreasesby $1 every hour. D) Eachlandscaperworks1hoursaday a +1 a b +4b Which of the following is equivalent to the expression shown above? A) (3 a + b ) B) (3 a+ b) 4 C) (9 a +4 b ) D) (9 a+4 b) 4 33

2 k +17 x = 0 If k > 0 and x = 7 intheequationabove,whatisthe valueof k? A) B) 3 C) 4 D) 5 ( 5, 0) O y l (0, ) k (0, 4) (p, 0) Inthexy-planeabove,line isparalleltoline k. Whatisthevalueofp? A) 4 B) 5 C) 8 D) 10 x 7 8 If x x a b 16 = x, x > 1,and a+ b =,whatisthevalue of a b? A) 8 B) 14 C) 16 D) 18 na = 360 Themeasure A,indegrees,ofanexteriorangleofa regularpolygonisrelatedtothenumberofsides, n, ofthepolygonbytheformulaabove. Ifthemeasure ofanexteriorangleofaregularpolygonisgreater than 50,whatisthegreatestnumberofsidesit can have? A) 5 B) 6 C) 7 D) 8 34

3 Thegraphofalineinthexy-planehasslopeand containsthepoint (1,8). Thegraphofasecondline passesthroughthepoints (1,) and (,1). Ifthe twolinesintersectatthepoint ( a, b),whatisthe valueof a+ b? A) 4 B) 3 C) 1 D) 4 Whichofthefollowingequationshasagraphinthe xy-planeforwhich y isalwaysgreaterthanorequal to 1? A) y = x B) y = x C) y = ( x ) 3 D) y = x 11 1 Which of the following complex numbers is 3 5i equivalent to?(note: i = 1) 8+ i A) B) C) D) 3 i i i i F R = N+ F Awebsiteusestheformulaabovetocalculatea seller s rating, R, based on the number of favorable reviews, F, and unfavorable reviews, N. Which of the following expresses the number of favorable reviews in terms of the other variables? A) F = B) F C) F D) F = RN R 1 RN = 1 R N = 1 R N R 1 35

4 Whatisthesumofallvaluesof m thatsatisfy m 16 m+8 = 0? A) 8 B) 4 3 C) 4 3 D) 8 A radioactive substance decays at an annual rate of 13percent. Iftheinitialamountofthesubstanceis 35 grams, which of the following functions f models the remaining amount of the substance, in grams, t years later? A) f( t) = 35(0.87) t B) f( t) = 35(0.13) t C) f( t) = 0.87(35) t D) f( t) = 0.13(35) t 15 5 Theexpression x x+3 isequivalenttowhichofthe following? A) 5 3 B) 5 3 C) D) 5 x x+3 36

5 Thesalesmanagerofacompanyawardedatotalof $3000 in bonuses to the most productive salespeople. Thebonuseswereawardedinamountsof$50or $750. Ifatleastone$50bonusandatleastone$750 bonus were awarded, what is one possible number of $50 bonuses awarded? x(3 x+5)+3(3 x+5) = ax + bx+ c Intheequationabove, a, b,and c areconstants. If theequationistrueforallvaluesof x,whatisthe valueof b? 18 A C B Inthefigureabove, AE CD andsegmentad intersectssegmentceat B. Whatisthelengthof segmentce? D E 38

6 y A( 3, 1) x O B Inthexy-planeabove, O isthecenterofthecircle, andthemeasureof AOB is π radians. Whatis a thevalueofa?... 0 ax+ by = 1 x+8 y = 60 Inthesystemofequationsabove, a and b are constants. If the system has infinitely many solutions,whatisthevalueof a b? STOP Ifyoufinishbeforetimeiscalled,youmaycheckyourworkonthissectiononly. Donotturntoanyothersection. 39

7 1 Amusicianhasanewsongavailablefor downloading or streaming. The musician earns $0.09 each time the song is downloaded and $0.00 eachtimethesongisstreamed. Whichofthe following expressions represents the amount, in dollars,thatthemusicianearnsifthesongis downloaded d times and streamed s times? A) 0.00 d+0.09s B) 0.00d 0.09s C) 0.09 d+0.00s D) 0.09d 0.00s A quality control manager at a factory selects 7 lightbulbs at random for inspection out of every 400 lightbulbs produced. At this rate, how many lightbulbs will be inspected if the factory produces 0,000 lightbulbs? A) 300 B) 350 C) 400 D) = 4+3.5m Oneendofaspringisattachedtoaceiling. Whenan objectofmass m kilogramsisattachedtotheother endofthespring,thespringstretchestoalengthof centimetersasshownintheequationabove. What is m when is73? A) 14 B) 7.7 C) 73 D)

8 Questions 4 and 5 refer to the following information. The amount of money a performer earns is directly proportional to the number of people attending the performance. The performer earns $10 at a performance where 8 people attend. 4 5 How much money will the performer earn when 0 people attend a performance? A) $960 B) $480 C) $300 D) $40 Theperformeruses43%ofthemoneyearnedtopay the costs involved in putting on each performance. Therestofthemoneyearnedistheperformer s profit. Whatistheprofittheperformermakesata performance where 8 people attend? A) $51.60 B) $57.00 C) $68.40 D) $ When4timesthenumber x isaddedto1,the resultis8. Whatnumberresultswhentimes x is addedto7? A) 1 B) 5 C) 8 D) 9 y = x 6 x+8 The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation displays the x-intercepts of the parabola as constants or coefficients? A) y 8 = x 6x B) y+1 = ( x 3) C) y = x( x 6)+8 D) y = ( x )( x 4) 4

9 8 9 Inavideogame,eachplayerstartsthegamewith k pointsandlosespointseachtimeataskisnot completed. If a player who gains no additional pointsandfailstocomplete100taskshasascoreof 00points,whatisthevalueof k? A) 0 B) 150 C) 50 D) 400 Aworkerusesaforklifttomoveboxesthatweigh either40poundsor65poundseach. Let x bethe numberof40-poundboxesand y bethenumberof 65-pound boxes. The forklift can carry up to either 45boxesoraweightof,400pounds. Whichofthe following systems of inequalities represents this relationship? A) 40 x+65y,400 x+ y 45 B) C) x y ,400 x+ y x+65y 45 x+ y,400 D) x+ y, x+65y, Afunction f satisfies f() = 3 and f(3) = 5. A function g satisfies g(3) = and g(5) = 6. Whatis thevalueof f( g(3))? A) B) 3 C) 5 D) 6 NumberofhoursTonyplanstoreadthe novel per day 3 Numberofpartsinthenovel 8 Number of chapters in the novel 39 Number of words Tony reads per minute 50 Number of pages in the novel 1,078 Number of words in the novel 349,168 Tonyisplanningtoreadanovel. Thetableabove shows information about the novel, Tony s reading speed,andtheamountoftimeheplanstospend readingthenoveleachday. IfTonyreadsattherates giveninthetable,whichofthefollowingisclosestto thenumberofdaysitwouldtaketonytoreadthe entire novel? A) 6 B) 8 C) 3 D) 34 43

10 1 13 OnJanuary1,000,therewere175,000tonsoftrash inalandfillthathadacapacityof35,000tons. Each yearsincethen,theamountoftrashinthelandfill increasedby7,500tons. If y representsthetime,in years, after January 1, 000, which of the following inequalities describes the set of years where the landfill is at or above capacity? A) 35,000 7,500 y B) 35,000 7,500y C) 150,000 7,500y D) 175, ,500y 35,000 A researcher conducted a survey to determine whether people in a certain large town prefer watching sports on television to attending the sporting event. The researcher asked 117 people who visitedalocalrestaurantonasaturday,and7people refused to respond. Which of the following factors makes it least likely that a reliable conclusion can be drawn about the sports-watching preferences of all people in the town? A) Sample size B) Population size C) Thenumberofpeoplewhorefusedtorespond D) Wherethesurveywasgiven 14 Number of miles traveled (billions) Miles Traveled by Air Passengers in Country X, 1960 to Year Accordingtothelineofbestfitinthescatterplot above, which of the following best approximates the yearinwhichthenumberofmilestraveledbyair passengers in Country X was estimated to be 550 billion? A) 1997 B) 000 C) 003 D)

11 15 16 The distance traveled by Earth in one orbit around the Sun is about 580,000,000 miles. Earth makes onecompleteorbitaroundthesuninoneyear. Of the following, which is closest to the average speed of Earth,inmilesperhour,asitorbitstheSun? A) 66,000 B) 93,000 C) 10,000 D) 40,000 Results on the Bar Exam of Law School Graduates Took review course Did not take review course Passed bar exam 18 7 Did not pass bar exam The table above summarizes the results of 00 law schoolgraduateswhotookthebarexam. Ifoneof the surveyed graduates who passed the bar exam is chosenatrandomforaninterview,whatisthe probability that the person chosen did not take the review course? A) B) C) D) The atomic weight of an unknown element, in atomic mass units(amu), is approximately 0% less than that of calcium. The atomic weight of calcium is 40 amu. Which of the following best approximates the atomic weight, in amu, of the unknown element? A) 8 B) 0 C) 3 D) 48 Asurveywastakenofthevalueofhomesinacounty, anditwasfoundthatthemeanhomevaluewas $165,000 and the median home value was $15,000. Which of the following situations could explain the difference between the mean and median home values in the county? A) Thehomeshavevaluesthatareclosetoeach other. B) Thereareafewhomesthatarevaluedmuchless than the rest. C) Thereareafewhomesthatarevaluedmuch more than the rest. D) Manyofthehomeshavevaluesbetween $15,000 and $165,

12 Questions19and0refertothefollowing information. A sociologist chose 300 students at random from each of two schools and asked each student how many siblings he orshehas. Theresultsareshowninthetablebelow. Number of siblings Students Sibling Survey Lincoln School Washington School Thereareatotalof,400studentsatLincolnSchooland 3,300 students at Washington School. 19 Whatisthemediannumberofsiblingsforallthe students surveyed? A) 0 B) 1 C) D) Basedonthesurveydata,whichofthefollowing most accurately compares the expected total number ofstudentswith4siblingsatthetwoschools? A) Thetotalnumberofstudentswith4siblingsis expectedtobeequalatthetwoschools. B) Thetotalnumberofstudentswith4siblingsat LincolnSchoolisexpectedtobe30morethanat Washington School. C) Thetotalnumberofstudentswith4siblingsat Washington School is expected to be 30 more than at Lincoln School. D) Thetotalnumberofstudentswith4siblingsat Washington School is expected to be 900 more than at Lincoln School. A project manager estimates that a project will take x hourstocomplete,where x > 100. Thegoalisfor theestimatetobewithin10hoursofthetimeitwill actually take to complete the project. If the manager meetsthegoalandittakes y hourstocompletethe project, which of the following inequalities represents the relationship between the estimated time and the actual completion time? A) x+ y < 10 B) y > x+10 C) y < x 10 D) 10 < y x < 10 46

13 Questionsand3refertothefollowing information. P I = 4 πr Atalargedistance r fromaradioantenna,theintensity oftheradiosignal I isrelatedtothepowerofthe signal P bytheformulaabove. Which of the following expresses the square of the distancefromtheradioantennaintermsofthe intensityoftheradiosignalandthepowerofthe signal? A) r B) r C) r D) r IP = 4π P = 4πI πi = 4 P I = 4πP 3 4 Forthesamesignalemittedbyaradioantenna, ObserverAmeasuresitsintensitytobe16timesthe intensity measured by Observer B. The distance of Observer A from the radio antenna is what fraction ofthedistanceofobserverbfromtheradio antenna? A) B) C) D) x + y +4x y = 1 Theequationofacircleinthexy-planeisshown above. Whatistheradiusofthecircle? A) B) 3 C) 4 D) 9 47

14 5 6 Thegraphofthelinearfunction f hasinterceptsat ( a,0) and (0, b) inthexy-plane. If a+ b = 0 and a b,whichofthefollowingistrueabouttheslope ofthegraphof f? A) Itispositive. B) Itisnegative. C) Itequalszero. D) It is undefined. 1 O y 1 y = f(x) Thecompletegraphofthefunction f isshowninthe xy-plane above. Which of the following are equalto1? I. f( 4) 3 II. f III. f(3) A) IIIonly B) IandIIIonly C) IIandIIIonly D) I,II,andIII x 7 Temperature ( C) insulated non-insulated Time (minutes) Twosamplesofwaterofequalmassareheatedto 60 degrees Celsius( C). One sample is poured into an insulated container, and the other sample is poured into a non-insulated container. The samples arethenleftfor70minutestocoolinaroomhaving atemperatureof 5 C. Thegraphaboveshowsthe temperature of each sample at 10-minute intervals. Which of the following statements correctly compares the average rates at which the temperatures of the two samples change? A) In every 10-minute interval, the magnitude of therateofchangeoftemperatureofthe insulated sample is greater than that of the non-insulated sample. B) In every 10-minute interval, the magnitude of therateofchangeoftemperatureofthe non-insulated sample is greater than that of the insulated sample. C) Intheintervalsfrom0to10minutesandfrom 10to0minutes,theratesofchangeof temperature of the insulated sample are of greater magnitude, whereas in the intervals from 40to50minutesandfrom50to60minutes,the rates of change of temperature of the non-insulated sample are of greater magnitude. D) Intheintervalsfrom0to10minutesandfrom 10to0minutes,theratesofchangeof temperature of the non-insulated sample are of greater magnitude, whereas in the intervals from 40to50minutesandfrom50to60minutes,the rates of change of temperature of the insulated sample are of greater magnitude. 48

15 8 B A 4 6 y Inthexy-planeabove, ABCD isasquareand point E isthecenterofthesquare. Thecoordinates ofpoints C and E are (7,) and (1,0), respectively. Which of the following is an equation ofthelinethatpassesthroughpoints B and D? A) y = 3x 1 B) y = 3( x 1) C) y = 1 x+4 3 D) y = 1 x E D C x 9 30 y = 3 y = ax + b Inthesystemofequationsabove, a and b are constants. For which of the following values of a and b doesthesystemofequationshaveexactlytwo real solutions? A) a =, b = B) a =, b = 4 C) a =, b = 4 D) a = 4, b = 3 The figure above shows a regular hexagon with sides oflength a andasquarewithsidesoflength a. If theareaofthehexagonis squareinches, whatisthearea,insquareinches,ofthesquare? A) 56 B) 19 C) 64 3 D)

16 31 3 A coastal geologist estimates that a certain country s beachesareerodingatarateof1.5feetperyear. According to the geologist s estimate, how long will it take,inyears,forthecountry sbeachestoerodeby 1 feet? If h hoursand30minutesisequalto450minutes, whatisthevalueof h? Inthexy-plane,thepoint (3,6) liesonthegraphof the function f( x) = 3x bx+1. Whatisthevalue of b? Inonesemester,DougandLauraspentacombined 50hoursinthetutoringlab. IfDougspent40more hoursinthelabthanlauradid,howmanyhoursdid Lauraspendinthelab? 51

17 35 a = 18 t+15 Jane made an initial deposit to a savings account. Each week thereafter she deposited a fixed amount to the account. The equation above models the amount a, in dollars, that Jane has deposited after t weekly deposits. According to the model, how many dollars was Jane s initial deposit?(disregard the $ sign when gridding your answer.) 36 L 60 M O N Inthefigureabove,point O isthecenterofthe circle,linesegmentslmandmnaretangenttothe circleatpoints L and N,respectively,andthe segmentsintersectatpoint M asshown. Ifthe circumferenceofthecircleis96,whatisthelengthof minorarc LN? 5

18 Questions37and38refertothefollowing information. Abotanistiscultivatingararespeciesofplantina controlled environment and currently has 3000 of these plants. The population of this species that the botanist expectstogrownextyear, N next year,canbeestimated fromthenumberofplantsthisyear, N this year,bythe equation below. N N = N +0.( N next year this year this year) 1 this year Theconstant K inthisformulaisthenumberofplants the environment is able to support. 37 Accordingtotheformula,whatwillbethenumberof plantstwoyearsfromnowif K = 4000?(Round your answer to the nearest whole number.) K The botanist would like to increase the number of plants that the environment can support so that the population of the species will increase more rapidly. Ifthebotanist sgoalisthatthenumberofplantswill increasefrom3000thisyearto3360nextyear,how many plants must the modified environment support? STOP Ifyoufinishbeforetimeiscalled,youmaycheckyourworkonthissectiononly. Donotturntoanyothersection. Unauthorized copying or reuse of any part of this page is illegal. 53

SAT Practice Test #2 IMPORTANT REMINDERS. A No. 2 pencil is required for the test. Do not use a mechanical pencil or pen.

SAT Practice Test #2 IMPORTANT REMINDERS. A No. 2 pencil is required for the test. Do not use a mechanical pencil or pen. SAT Practice Test # IMPORTANT REMINDERS A No. pencil is required for the test. Do not use a mechanical pencil or pen. Sharing any questions with anyone is a violation of Test Security and Fairness policies