CONTINUE. of a? A) a. B) a 3. A) h B) C) K D) n. C) a. D) 3 a 2

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1 3 3 1 Apainterwillpaint n wallswiththesamesizeand shapeinabuildingusingaspecificbrandofpaint. The painter s fee can be calculated by the expression nk h,where n isthenumberofwalls, K isa constantwithunitsofdollarspersquarefoot, is thelengthofeachwallinfeet,and h istheheightof eachwallinfeet. Ifthecustomerasksthepainterto useamoreexpensivebrandofpaint,whichofthe factors in the expression would change? A) h B) C) K D) n If 3 r = 18,whatisthevalueof 6 r+3? A) 6 B) 7 C) 36 D) Whichofthefollowingisequalto a 3,forallvalues of a? 1 3 A) a B) a 3 3 C) a 1 D) 3 a The number of states that joined the United States between1776and1849istwicethenumberofstates thatjoinedbetween1850and1900. If30states joined the United States between 1776 and 1849 and xstatesjoinedbetween1850and1900,whichofthe following equations is true? A) 30 x = B) x = 30 C) x = 30 D) x+30 = 33

2 If = x x +0,whatisthevalueof x 5? A) 10 B) 5 C) D) 1 x 3 y = 14 3x y = 6 If ( x, y) isasolutiontothesystemofequations above,whatisthevalueof x y? A) 0 B) 8 C) 4 D) x f(x) Thefunction f isdefinedbyapolynomial. Some valuesof x and f( x) areshowninthetableabove. Whichofthefollowingmustbeafactorof f( x)? A) x B) x 3 C) x 4 D) x 5 Theline y = kx+4,where k isaconstant,is graphed in the xy-plane. If the line contains the point ( c, d),where c 0 and d 0,whatistheslope ofthelineintermsof c and d? A) B) C) D) d 4 c c 4 d 4 d c 4 c d

3 kx 3 y = 4 4x 5 y = 7 Inthesystemofequationsabove, k isaconstant and x and y arevariables. Forwhatvalueof k will the system of equations have no solution? A) B) C) 16 7 D) 1 5 In the xy-plane, the parabola with equation y = ( x 11) intersectsthelinewithequation y = 5 attwopoints, A and B. Whatisthelength of AB? A) 10 B) 1 C) 14 D) k y x z w t u m Note: Figure not drawn to scale. Inthefigureabove,lines k,,and m intersectata point. If x+ y = u+ w,whichofthefollowingmust be true? I. x = z II. y = w III. z = t A) IandIIonly B) IandIIIonly C) IIandIIIonly D) I,II,andIII l y = a( x )( x+4) Inthequadraticequationabove, a isanonzero constant. The graph of the equation in the xy-plane isaparabolawithvertex ( c, d). Whichofthe followingisequalto d? A) 9a B) 8a C) 5a D) a 35

4 The equation trueforallvaluesof x 4 x +5x 47 ax Whatisthevalueof a? A) 16 B) 3 C) 3 D) 16 = 8x 3 53 is ax,where a isaconstant. a Whatarethesolutionsto 3 x +1 x+6 = 0? A) x = ± B) x = ± 30 3 C) x = 6± D) x = 6±6 15 C = 5 F 9 ( 3) The equation above shows how a temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based ontheequation,whichofthefollowingmustbetrue? A) Ionly I. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increaseof 5 9 degreecelsius. II. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit. III. Atemperatureincreaseof 5 9 degree B) IIonly C) IIIonly D) IandIIonly Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. 36

5 x ( x 5) = 4x If x > 0,whatisonepossiblesolutiontotheequation above? 7 If x 4 x 9 9 = ,whatisthevalueof x? 18 x y z Note: Figure not drawn to scale. Two isosceles triangles are shown above. If 180 z = y and y = 75,whatisthevalueof x? 38

6 Atalunchstand,eachhamburgerhas50more caloriesthaneachorderoffries. Ifhamburgersand 3ordersoffrieshaveatotalof1700calories,how many calories does a hamburger have?... 0 In triangle ABC, the measure of B is 90, BC = 16,and AC = 0. Triangle DEF issimilarto triangle ABC, wherevertices D, E,and F correspond to vertices A, B, and C, respectively, and eachsideoftriangle DEF is 1 3 thelengthofthe corresponding side of triangle ABC. What is the value of sin F? STOP Ifyoufinishbeforetimeiscalled,youmaycheckyourworkonthissectiononly. Donotturntoanyothersection. 39

7 1 Distance from campsite (miles) Marilyn s Hike 0 1:00 p.m. 1:00 p.m. :00 p.m. 3:00 p.m. The graph above shows Marilyn s distance from her campsiteduringa3 hourhike. Shestoppedfor 30minutesduringherhiketohavelunch. Basedon thegraph,whichofthefollowingisclosesttothe time she finished lunch and continued her hike? A) 1:40 P.M. B) 1:10 P.M. C) 1:40 P.M. D) :00 P.M. Gender Male Female Total Under Age 40 or older 3 5 Total The table above shows the distribution of age and genderfor5peoplewhoenteredacontest. Ifthe contestwinnerwillbeselectedatrandom,whatisthe probability that the winner will be either a female underage40oramaleage40orolder? A) B) C) D)

8 3 4 Thegraphbelowshowsthetotalnumberofmusic album sales, in millions, each year from 1997 through 009. Sales (millions of music albums) 1, Annual Music Album Sales Years since 1997 Basedonthegraph,whichofthefollowingbest describes the general trend in music album sales from1997through009? A) Sales generally increased each year since B) Sales generally decreased each year since C) Sales increased until 000 and then generally decreased. D) Sales generally remained steady from 1997 through 009. n f (n) 1 Thetableaboveshowssomevaluesofthelinear function f. Whichofthefollowingdefines f? A) f( n) = n 3 B) f( n) = n 4 C) f( n) = 3n 5 D) f( n) = 4n At Lincoln High School, approximately 7 percent of enrolled juniors and 5 percent of enrolled seniors were inducted into the National Honor Society last year. Iftherewere56juniorsand60seniors enrolled at Lincoln High School last year, which of the following is closest to the total number of juniors andseniorsatlincolnhighschoollastyearwho were inducted into the National Honor Society? A) 140 B) 69 C) 39 D) 30 3x 5 x+ 5x x 6 Whichofthefollowingisthesumofthetwo polynomials shown above? A) 8x 7x 4 B) 8 x +7x 4 4 C) 8x 7x 4 4 D) 8 x +7x 4 4

9 7 8 3 If w 5 A) B) C) D) = 4 3,whatisthevalueof w? The average number of students per classroom at CentralHighSchoolfrom000to010canbe modeled by the equation y = 0.56 x+7.,where x representsthenumberofyearssince000,and y represents the average number of students per classroom. Which of the following best describes the meaning of the number 0.56 in the equation? A) Thetotalnumberofstudentsattheschool in 000 B) The average number of students per classroom in 000 C) The estimated increase in the average number of students per classroom each year D) The estimated difference between the average number of students per classroom in 010 andin000 9 Natewalks5metersin13.7seconds. Ifhewalksat thissamerate,whichofthefollowingisclosesttothe distancehewillwalkin4minutes? A) 150 meters B) 450 meters C) 700 meters D) 1,400 meters 43

10 Questions10and11refertothefollowing information. Planet Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Acceleration due to gravity The chart above shows approximations of the acceleration due to gravity in meters per m sec secondsquared m sec fortheeightplanetsinoursolar system. Theweightofanobjectonagivenplanetcanbe foundbyusingtheformula W = mg,where W isthe weightoftheobjectmeasuredinnewtons, m isthemass oftheobjectmeasuredinkilograms,and g isthe acceleration due to gravity on the planet measured in m sec Whatistheweight,innewtons,ofanobjecton Mercurywithamassof90kilograms? A) 5 B) 86 C) 101 D) 34 AnobjectonEarthhasaweightof150newtons. On whichplanetwouldthesameobjecthavean approximate weight of 170 newtons? A) Venus B) Saturn C) Uranus D) Neptune 44

11 1 13 Ifthefunction f hasfivedistinctzeros,whichofthe following could represent the complete graph of f in thexy plane? A) C) y y h x x B) D) = 16 t + vt+ k Theequationabovegivestheheight h,infeet,ofa ball t secondsafteritisthrownstraightupwithan initialspeedof v feetpersecondfromaheightof k feet. Whichofthefollowinggives v intermsof h, t,and k? A) v = h+ k 16t B) v C) v D) v h k = +16 t h k = + 16t t h k = +16t t y y x x 14 Thecostofusingatelephoneinahotelmeeting roomis$0.0perminute. Whichofthefollowing equations represents the total cost c, in dollars, for h hoursofphoneuse? A) c = 0.0(60 h) B) c = 0.0 h+60 C) c D) c = 60h 0.0 = 0.0h 60 45

12 15 InordertodetermineiftreatmentXissuccessfulin improving eyesight, a research study was conducted. From a large population of people with poor eyesight, 300 participants were selected at random. Half of the participants were randomly assigned to receivetreatmentx,andtheotherhalfdidnot receive treatment X. The resulting data showed that participants who received treatment X had significantly improved eyesight as compared to those whodidnotreceivetreatmentx. Basedonthe designandresultsofthestudy,whichofthe following is an appropriate conclusion? A) TreatmentXislikelytoimprovetheeyesightof people who have poor eyesight. B) Treatment X improves eyesight better than all other available treatments. C) Treatment X will improve the eyesight of anyone who takes it. D) Treatment X will cause a substantial improvement in eyesight. 16 y = f(x) y = g(x) Graphsofthefunctions f and g areshowninthe xy-plane above. For which of the following values of x does f( x)+ g( x) = 0? A) 3 B) C) 1 D) 0 y 1 x 46

13 Questions17and18refertothefollowing information. S( P) = 1 P+40 D( P) = 0 P Thequantityofaproductsuppliedandthequantityof the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for acertainproduct. Thefunction S( P) givesthequantity oftheproductsuppliedtothemarketwhenthepriceis P dollars,andthefunction D( P) givesthequantityof theproductdemandedbythemarketwhenthepriceis P dollars. 17 Howwillthequantityoftheproductsuppliedtothe marketchangeifthepriceoftheproductisincreased by$10? A) The quantity supplied will decrease by 5 units. B) The quantity supplied will increase by 5 units. C) The quantity supplied will increase by 10 units. D) The quantity supplied will increase by 50 units Atwhatpricewillthequantityoftheproduct suppliedtothemarketequalthequantityofthe product demanded by the market? A) $90 B) $10 C) $133 D) $155 Graphene, which is used in the manufacture of integrated circuits, is so thin that a sheet weighing oneouncecancoverupto7footballfields. Ifa footballfieldhasanareaofapproximately acres, abouthowmanyacrescould48ouncesofgraphene cover? A) 50 B) 350 C) 450 D) 1,350 47

14 0 Heart rate (beats per minute) Swimming Time versus Heart Rate Swimming time (minutes) Michael swam,000 yards on each of eighteen days. The scatterplot above shows his swim time for and corresponding heart rate after each swim. The line of bestfitforthedataisalsoshown. Fortheswimthat took 34 minutes, Michael s actual heart rate was abouthowmanybeatsperminuteslessthantherate predictedbythelineofbestfit? A) 1 B) C) 3 D) 4 1 Of the following four types of savings account plans, which option would yield exponential growth of the money in the account? A) Eachsuccessiveyear,%oftheinitialsavingsis addedtothevalueoftheaccount. B) Each successive year, 1.5% of the initial savings and$100isaddedtothevalueoftheaccount. C) Eachsuccessiveyear,1%ofthecurrentvalueis addedtothevalueoftheaccount. D) Eachsuccessiveyear,$100isaddedtothevalue of the account. Thesumofthreenumbersis855. Oneofthe numbers, x,is50%morethanthesumoftheother twonumbers. Whatisthevalueof x? A) 570 B) 513 C) 14 D)

15 3 4 a b Note: Figures not drawn to scale. Theanglesshownaboveareacuteand sin( a ) = cos( b ). If a = 4k and b = 6k 13, whatisthevalueof k? A) 4.5 B) 5.5 C) 1.5 D) 1.5 Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, hewillhave5millilitersleftover. Inordertogive each student 4 milliliters of solution, he will need an additional 1 milliliters. How many students are in the class? A) 16 B) 1 C) 3 D) ft 5 ft 5 ft 5 ft Agrainsiloisbuiltfromtworightcircularconesand a right circular cylinder with internal measurements represented by the figure above. Of the following, whichisclosesttothevolumeofthegrainsilo,in cubic feet? A) 61.8 B) C) D) 1,

16 6 7 In the xy-plane, the line determined by the points (, k) and ( k, 3) passes through the origin. Whichofthefollowingcouldbethevalueof k? A) 0 B) 4 C) 8 D) 16 A rectangle was altered by increasing its length by 10percentanddecreasingitswidthby p percent. If these alterations decreased the area of the rectangle by1percent,whatisthevalueof p? A) 1 B) 15 C) 0 D) 8 In planning maintenance for a city s infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by 10 percent every 0 years. If the present population ofthecityis50,000,whichofthefollowing expressions represents the engineer s estimate of the populationofthecity t yearsfromnow? 0t A) 50,000(0.1) B) 50,000(0.1) t 0 0t C) 50,000(0.9) D) 50,000(0.9) t 0 50

17 9 Gender Female Male Total Handedness Left Right 18 1 The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth-grade students at Keisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. If there is a total of 18 left-handed students and 1 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.) A) B) C) D) x + b = 5x 7 3 y + c = 5y 7 In the equations above, b and c are constants. If b is c minus 1, which of the following is true? A) x is y minus 1 4. B) x is y minus 1. C) x is y minus 1. D) x is y plus 1. 51

18 31 3 Ticketsforaschooltalentshowcost$forstudents and$3foradults. IfChrisspendsatleast$11butno morethan$14on x studentticketsand1adult ticket,whatisonepossiblevalueof x? Ages of the First 1 United States Presidents at the Beginning of Their Terms in Office President Washington Adams Jefferson Madison Monroe Adams Age (years) President Jackson Van Buren Harrison Tyler Polk Taylor Age (years) Thetableaboveliststheagesofthefirst 1 United States presidents when they began their termsinoffice. Accordingtothetable,whatwasthe meanage,inyears,ofthesepresidentsatthe beginning of their terms?(round your answer to the nearest tenth.) ( 3 x +5x ) ( x x 1) Iftheexpressionaboveisrewrittenintheform ax + bx+ c thevalueof b?,where a, b,and c areconstants,whatis Inacirclewithcenter O,centralangle AOB hasa measure of 5π 4 radians. Theareaofthesector formedbycentralangle AOB iswhatfractionofthe area of the circle? 53

19 35 An online store receives customer satisfaction ratings between0and100,inclusive. Inthefirst10ratings the store received, the average(arithmetic mean) of theratingswas75. Whatistheleastvaluethestore canreceiveforthe11thratingandstillbeableto haveanaverageofatleast85forthefirst0ratings? 36 y y 15 x x Inthexy plane,ifapointwithcoordinates ( a, b) lies in the solution set of the system of inequalities above, whatisthemaximumpossiblevalueof b? 54

20 Questions37and38refertothefollowing information. Ifshoppersenterastoreatanaveragerateof r shoppers perminuteandeachstaysinthestoreforanaveragetime of T minutes,theaveragenumberofshoppersinthe store, N,atanyonetimeisgivenbytheformula N = rt. This relationship is known as Little s law. The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enterthestoreandthateachofthemstaysanaverageof 15 minutes. The store owner uses Little s law to estimate thatthereare45shoppersinthestoreatanytime. 37 Little slawcanbeappliedtoanypartofthestore, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour makeapurchaseandeachoftheseshoppersspend anaverageof5minutesinthecheckoutline. At any time during business hours, about how many shoppers, on average, are waiting in the checkout linetomakeapurchaseatthegooddealsstore? TheowneroftheGoodDealsStoreopensanew storeacrosstown. Forthenewstore,theowner estimates that, during business hours, an average of 90shoppersperhourenterthestoreandeachof themstaysanaverageof1minutes. Theaverage numberofshoppersinthenewstoreatanytimeis what percent less than the average number of shoppers in the original store at any time?(note: Ignore the percent symbol when entering your answer. For example, if the answer is 4.1%, enter 4.1) STOP Ifyoufinishbeforetimeiscalled,youmaycheckyourworkonthissectiononly. Donotturntoanyothersection. 55