= k and k = 3,whatisthevalueof x? 3 A) 2 B) 4 C) 9 D) 10. If x 1. A) 9mp

Transcription

1 3 3 If x = k and k = 3,whatisthevalueof x? 3 A) B) 4 C) 9 D) 0 For i =,whatisthesum (7+3 i) + ( 8+9 i)? A) +i B) 6i C) 5+i D) 5 6i 3 4 On Saturday afternoon, Armand sent m text messageseachhourfor5hours,andtyronesent p textmessageseachhourfor4hours. Whichofthe following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon? A) 9mp B) 0mp C) 5 m+4p D) 4 m+5p Kathy is a repair technician for a phone company. Eachweek,shereceivesabatchofphonesthatneed repairs. Thenumberofphonesthatshehaslefttofix attheendofeachdaycanbeestimatedwiththe equation P = 08 3 d,where P isthenumberof phonesleftand d isthenumberofdaysshehas workedthatweek. Whatisthemeaningofthe value 08 in this equation? A) Kathy will complete the repairs within 08 days. B) Kathystartseachweekwith08phonestofix. C) Kathyrepairsphonesatarateof08perhour. D) Kathyrepairsphonesatarateof08perday. 35

2 ( x y 3 y +5 xy ) ( x y+3xy 3 y ) Which of the following is equivalent to the expression above? A) 4x y B) 8xy 6y C) x y+xy D) x y+8xy 6y h = 3 a+8.6 A pediatrician uses the model above to estimate the height h ofaboy,ininches,intermsoftheboy s age a,inyears,betweentheagesofand5. Based onthemodel,whatistheestimatedincrease,in inches,ofaboy sheighteachyear? A) 3 B) 5.7 C) 9.5 D) r r m =,00 +,00 N r +,00 The formula above gives the monthly payment m neededtopayoffaloanof P dollarsat r percent annual interest over N months. Which of the followinggives P intermsof m, r,and N? r r A) P =,00 +,00 N r +,00 B) N r +,00 P = r r +,00,00 r C) P = m,00 D) P =,00 m r N N m m N P 36

3 If a b =,whatisthevalueof 4b a A) 0 B) C) D) 4 3 x+4 y = 3 y x = 9 Whatisthesolution ( x, y) tothesystemofequations above? A) ( 5, ) B) (3, 8) C) (4, 6) D) (9, 6)? g( x) = ax +4 Forthefunction g definedabove, a isaconstant and g(4) = 8. Whatisthevalueof g( 4)? A) 8 B) 0 C) D) 8 b = x c = x Intheequationsabove, b and c representtheprice per pound, in dollars, of beef and chicken, respectively, x weeks after July during last summer. Whatwasthepriceperpoundofbeefwhen itwasequaltothepriceperpoundofchicken? A) $.60 B) $.85 C) $.95 D) $3.35 Alineinthe xy-planepassesthroughtheoriginand hasaslopeof 7. Whichofthefollowingpointslies ontheline? A) (0,7) B) (,7) C) (7,7) D) (4,) 37

4 If x > 3,whichofthefollowingisequivalent to A) B) x+ + x+3 x x x+5 C) x+5 +5 x+6 +5 x+6 x+5 D) x +5 x+6 If 3x y =,whatisthevalueof 8 A) B) 4 4 C) 8? x y? D) Thevaluecannotbedeterminedfromthe information given. 5 If ( ax+)( bx+7) = 5 x + cx+4 forallvaluesof x,and a+ b = 8,whatarethetwopossible values for c? A) 3and5 B) 6and35 C) 0and D) 3and4 38

5 If t > 0 and t 4 = 0,whatisthevalueof t? x feet A E Asummercampcounselorwantstofindalength, x, infeet,acrossalakeasrepresentedinthesketch above. The lengths represented by AB, EB, BD, and CD onthesketchweredeterminedtobe800feet, 400 feet, 700 feet, and 800 feet, respectively. Segments AC and DE intersectat B,and AEB and CDB havethesamemeasure. Whatisthe valueof x? B D C x+ y = 9 x+ y = 5 According to the system of equations above, what is thevalueof x? In a right triangle, one angle measures x, where sin x = 4 5. Whatis cos(90 x )? If a = 5 and a = x,whatisthevalueof x? STOP Ifyoufinishbeforetimeiscalled,youmaycheckyourworkonthissectiononly. Donotturntoanyothersection. 40

6 Johnrunsatdifferentspeedsaspartofhistraining program. The graph shows his target heart rate at different times during his workout. On which interval is the target heart rate strictly increasing then strictly decreasing? Target heart rate (beats per minute) A) Between0and30minutes Time (minutes) B) Between40and60minutes C) Between50and65minutes D) Between70and90minutes If y = kx,where k isaconstant,and y = 4 when x = 6,whatisthevalueof y when x = 5? A) 6 B) 5 C) 0 D) Inthefigureabove,lines and m areparalleland lines s and t areparallel. Ifthemeasureof is 35,whatisthemeasureof? A) 35 B) 55 C) 70 D) 45 If 6+4x is0morethan4,whatisthe valueof 8 x? A) B) 6 C) 6 D) 80 s m t l 43

7 5 Which of the following graphs best shows a strong negative association between d and t? A) B) C) D) t t t t d d d d 6 decagram = 0 grams,000 milligrams = gram A hospital stores one type of medicine in -decagram containers. Based on the information given in the box above, how many -milligram doses are there in one -decagram container? A) 0.00 B) 00 C),000 D) 0,000 44

8 Rooftop Solar Panel Installations in Five Cities A B C City The number of rooftops with solar panel installations in5citiesisshowninthegraphabove. Ifthetotal number of installations is 7,500, what is an appropriate label for the vertical axis of the graph? A) Number of installations(in tens) B) Number of installations(in hundreds) C) Number of installations(in thousands) D) Number of installations(in tens of thousands) D E 8 Forwhatvalueof n is n + equalto0? A) 0 B) C) D) Thereisnosuchvalueof n. 45

9 Questions 9 and 0 refer to the following information. a =,05+.08t Thespeedofasoundwaveinairdependsontheair temperature. The formula above shows the relationship between a,thespeedofasoundwave,infeetpersecond, and t, the air temperature, in degrees Fahrenheit ( F). 9 0 Which of the following expresses the air temperature intermsofthespeedofasoundwave? A) t B) t C) t a =,05.08 a = +,05.08 =,05 a D) t = a+,05 At which of the following air temperatures will the speedofasoundwavebeclosestto,000feetper second? A) 46 F B) 48 F C) 49 F D) 50 F... WhichofthefollowingnumbersisNOTasolution of the inequality 3x 5 4x 3? A) B) C) 3 D) 5 Number of apples Number of Seeds in Each of Apples Number of seeds Based on the histogram above, of the following, which is closest to the average(arithmetic mean) number of seeds per apple? A) 4 B) 5 C) 6 D) 7 46

10 3 Gender Female Male Total Algebra I Course Geometry Algebra II Total A group of tenth-grade students responded to a survey that asked which math course they were currently enrolled in. Thesurveydatawerebrokendownasshowninthetableabove. Whichofthefollowingcategoriesaccountsfor approximately 9 percent of all the survey respondents? A) Females taking Geometry B) Females taking Algebra II C) Males taking Geometry D) Males taking Algebra I 4 Lengths of Fish(in inches) The table above lists the lengths, to the nearest inch, ofarandomsampleofbrownbullheadfish. The outliermeasurementof4inchesisanerror. Ofthe mean, median, and range of the values listed, which will change the most if the 4-inch measurement is removed from the data? A) Mean B) Median C) Range D) Theywillallchangebythesameamount

11 Questions5and6refertothefollowing information. Total cost (dollars) C Total Cost of Renting a Boat by the Hour Time (hours) Thegraphabovedisplaysthetotalcost C,indollars,of rentingaboatfor h hours. 5 What does the C-intercept represent in the graph? A) Theinitialcostofrentingtheboat B) Thetotalnumberofboatsrented C) Thetotalnumberofhourstheboatisrented D) Theincreaseincosttorenttheboatforeach additional hour 5 h 6 7 Which of the following represents the relationship between h and C? A) C = 5h B) C = 3 h+5 4 C) C = 3 h+5 D) h = 3C O y y = f(x) Thecompletegraphofthefunction f isshowninthe xy-planeabove. Forwhatvalueof x isthevalueof f( x) atitsminimum? A) 5 B) 3 C) D) 3 x 48

12 8 y < x+ a y > x+ b Inthexy-plane,if (0,0) isasolutiontothesystemof inequalities above, which of the following relationships between a and b must be true? A) a > b B) b > a C) a > b D) a = b 9 Afoodtrucksellssaladsfor$6.50eachanddrinksfor $.00 each. The food truck s revenue from selling a totalof09saladsanddrinksinonedaywas $ How many salads were sold that day? A) 77 B) 93 C) 99 D) 05 49

13 0 Almaboughtalaptopcomputeratastorethatgavea 0 percent discount off its original price. The total amountshepaidtothecashierwas p dollars, including an 8 percent sales tax on the discounted price. Which of the following represents the original priceofthecomputerintermsof p? A) 0.88p B) p 0.88 C) (0.8)(.08) p D) p (0.8)(.08) Group X Group Y Total Dreams Recalled during One Week None to or more Total Thedatainthetableabovewereproducedbyasleep researcher studying the number of dreams people recallwhenaskedtorecordtheirdreamsforone week. GroupXconsistedof00peoplewho observed early bedtimes, and Group Y consisted of 00 people who observed later bedtimes. If a person is chosen at random from those who recalled atleastdream,whatistheprobabilitythatthe personbelongedtogroupy? A) B) C) D)

14 Questions and 3 refer to the following information. Annual Budgets for Different Programs in Kansas, 007 to 00 Program 007 Year Agriculture/natural resources 373, , , ,06 Education,64,607,43,984,74,54 3,008,036 General government 4,347,35,554,845 0,39,07 4,76,55 Highways and transportation,468,48,665,636,539,480,773,893 Human resources 4,05,050 4,099,067 4,68,444 5,9,379 Public safety 63, ,36 355, ,33 The table above lists the annual budget, in thousands of dollars, for each of six different state programs in Kansas from 007 to 00. Which of the following best approximates the averagerateofchangeintheannualbudgetfor agriculture/natural resources in Kansas from 008 to 00? A) $50,000,000 per year B) $65,000,000 per year C) $75,000,000 per year D) $30,000,000 per year... 3 Of the following, which program s ratio of its 007budgettoits00budgetisclosesttothe human resources program s ratio of its 007 budget to its 00 budget? A) Agriculture/natural resources B) Education C) Highways and transportation D) Public safety 5

15 4 5 Whichofthefollowingisanequationofacirclein thexy-planewithcenter (0,4) andaradiuswith 4 endpoint 3,5? A) x +( y 4) = 5 9 B) x +( y+4) = 5 9 C) x +( y 4) = 5 3 D) x +( y+4) = 3 5 h = 4.9 t +5t The equation above expresses the approximate height h,inmeters,ofaball t secondsafteritis launched vertically upward from the ground with an initial velocity of 5 meters per second. After approximately how many seconds will the ball hit the ground? A) 3.5 B) 4.0 C) 4.5 D) Katarina is a botanist studying the production of pearsbytwotypesofpeartrees. Shenoticedthat Type A trees produced 0 percent more pears thantypebtreesdid. BasedonKatarina s observation, if the Type A trees produced 44 pears, howmanypearsdidthetypebtreesproduce? A) 5 B) 0 C) 4 D) 73 Asquarefieldmeasures0metersby0meters. Ten students each mark off a randomly selected regionofthefield; eachregionissquareandhasside lengthsofmeter,andnotworegionsoverlap. The students count the earthworms contained in the soil toadepthof5centimetersbeneaththeground s surfaceineachregion. Theresultsareshowninthe table below. Region Numberof Numberof Region earthworms earthworms A 07 F 4 B 47 G 50 C 46 H 54 D 35 I 76 E 49 J 66 Which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground s surface in the entire field? A) 50 B),500 C) 5,000 D) 50,000 5

16 8 9 II III If the system of inequalities y y I IV x x+ and y > x isgraphedinthexy-planeabove,which quadrant contains no solutions to the system? A) Quadrant II B) Quadrant III C) Quadrant IV D) There are solutions in all four quadrants. For a polynomial p( x),thevalueof p(3) is. Whichofthefollowingmustbetrueabout p( x)? A) x 5 isafactorof p( x). B) x isafactorof p( x). C) x+ isafactorof p( x). D) Theremainderwhen p( x) isdivided by x 3 is y y = x x O A Whichofthefollowingisanequivalentformofthe equation of the graph shown in the xy-plane above, fromwhichthecoordinatesofvertex A canbe identified as constants in the equation? A) y = ( x+3)( x 5) B) y = ( x 3)( x+5) C) y = x( x ) 5 D) y = ( x ) 6 x 53

17 3 3 Wyattcanhuskatleastdozenearsofcornper hourandatmost8dozenearsofcornperhour. Based on this information, what is a possible amount oftime,inhours,thatitcouldtakewyatttohusk 7dozenearsofcorn? The posted weight limit for a covered wooden bridge in Pennsylvania is 6000 pounds. A delivery truck that is carrying x identical boxes each weighing 4poundswillpassoverthebridge. Ifthecombined weightoftheemptydeliverytruckanditsdriveris 4500 pounds, what is the maximum possible value for x thatwillkeepthecombinedweightofthe truck, driver, and boxes below the bridge s posted weight limit? Number sold (millions) Number of Portable Media Players Sold Worldwide Each Year from 006 to Year 00 0 Accordingtothelinegraphabove,thenumberof portable media players sold in 008 is what fraction ofthenumbersoldin0? A local television station sells time slots for programs in 30-minute intervals. If the station operates 4hoursperday,everydayoftheweek,whatisthe total number of 30-minute time slots the station can sell for Tuesday and Wednesday? 55

18 yards Adairyfarmerusesastoragesilothatisintheshape oftherightcircularcylinderabove. Ifthevolumeof thesilois 7π cubic yards, what is the diameter of thebaseofthecylinder,inyards? h( x) = ( x 5) +4( x 5)+4 Forwhatvalueof x isthefunction h above undefined?... Questions37and38refertothefollowing information. Jessica opened a bank account that earns percent interest compounded annually. Her initial deposit was $00, and she uses the expression $00( x) t tofindthe valueoftheaccountafter t years Whatisthevalueof x intheexpression? Jessica s friend Tyshaun found an account that earns.5 percent interest compounded annually. Tyshaun madeaninitialdepositof$00intothisaccountat thesametimejessicamadeadepositof$00intoher account. After 0 years, how much more money will Tyshaun s initial deposit have earned than Jessica s initial deposit?(round your answer to the nearest cent and ignore the dollar sign when gridding your response.) STOP Ifyoufinishbeforetimeiscalled,youmaycheckyourworkonthissectiononly. Donotturntoanyothersection. 56