Test Bank for Precalculus , 10th Edition

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TESTITEMFILE(DOWNLOADONLY)PRECALCULUSTENTH EDITIONMICHAELSULLIVANChicago State University

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Ch.1Graphs1.1TheDistanceandMidpointFormulas1RectangularCoordinatesMULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.Namethequadrantinwhichthepointislocated.1) (19,6)A) IB) IIC) IIID) IV2) (-8,9)A) IB) IIC) IIID) IV3) (-14,-7)A) IB) IIC) IIID) IV4) (2,-18)A) IB) IIC) IIID) IVIdentifythepointsinthegraphfortheorderedpairs.x-55y5-5ABCDEFGHIJKLx-55y5-5ABCDEFGHIJKL5) (0,2),(4,3)A) CandEB) FandEC) BandCD) CandK6) (-5,-4),(0,-3)A) IandJB) AandGC) GandID) AandJ7) (-3,4),(2,0),(4,-5)A) B,F,andLB) B,C,andLC) F,K,andLD) A,B,andF8) (3,5),(-3,0)A) DandGB) DandJC) IandGD) LandJPage1

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Givethecoordinatesofthepointsshownonthegraph.9)x-55y5-5ABx-55y5-5ABA) A=(3,4),B=(-5,7)B) A=(4,22),B=(7,-5)C) A=(3,7),B=(4,7)D) A=(3,4),B=(7,-5)10)x-55y5-5CDx-55y5-5CDA) C=(-4,2),D=(3,-5)B) C=(2,-4),D=(-5,3)C) C=(-4,-5),D=(2,-5)D) C=(-4,2),D=(-5,3)11)x-55y5-5EFx-55y5-5EFA) E=(-3,5),F=(-6,-2)B) E=(5,-3),F=(-2,-6)C) E=(-3,-2),F=(5,-2)D) E=(-6,-2),F=(-3,5)Page2

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12)x-55y5-5GHx-55y5-5GHA) G=(7,-6),H=(-6,3)B) G=(-6,7),H=(3,-6)C) G=(7,3),H=(-6,3)D) G=(7,-6),H=(3,-6)Plotthepointinthexy-plane.Tellinwhichquadrantoronwhataxisthepointlies.13) (4,2)x-55y5-5x-55y5-5A)x-55y5-5x-55y5-5QuadrantIB)x-55y5-5x-55y5-5QuadrantIPage3

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C)x-55y5-5x-55y5-5QuadrantIID)x-55y5-5x-55y5-5QuadrantIV14) (-2,6)x-55y5-5x-55y5-5A)x-55y5-5x-55y5-5QuadrantIIB)x-55y5-5x-55y5-5QuadrantIVPage4

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C)x-55y5-5x-55y5-5QuadrantID)x-55y5-5x-55y5-5QuadrantIII15) (1,-5)x-55y5-5x-55y5-5A)x-55y5-5x-55y5-5QuadrantIVB)x-55y5-5x-55y5-5QuadrantIIPage5

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C)x-55y5-5x-55y5-5QuadrantIIID)x-55y5-5x-55y5-5QuadrantI16) (-5,-4)x-55y5-5x-55y5-5A)x-55y5-5x-55y5-5QuadrantIIIB)x-55y5-5x-55y5-5QuadrantIIIPage6

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C)x-55y5-5x-55y5-5QuadrantIVD)x-55y5-5x-55y5-5QuadrantII17) (0,-4)x-55y5-5x-55y5-5A)x-55y5-5x-55y5-5y-axisB)x-55y5-5x-55y5-5x-axisPage7

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C)x-55y5-5x-55y5-5QuadrantIID)x-55y5-5x-55y5-5y-axis18) (-6,0)x-55y5-5x-55y5-5A)x-55y5-5x-55y5-5x-axisB)x-55y5-5x-55y5-5y-axisPage8

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C)x-55y5-5x-55y5-5QuadrantIID)x-55y5-5x-55y5-5x-axis2UsetheDistanceFormulaMULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.Findthedistanced(P1,P2)betweenthepointsP1 andP2.1)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6A) 25B)2C) 3D) 12)x-8-6-4-22468y8642-2-4-6-8x-8-6-4-22468y8642-2-4-6-8A)130B) 42C) 63D) 2Page9

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3)x-8-6-4-22468y8642-2-4-6-8x-8-6-4-22468y8642-2-4-6-8A) 25B) 123C) 12D) 24)x-8-6-4-22468y8642-2-4-6-8x-8-6-4-22468y8642-2-4-6-8A) 313B) 455C) 45D) 35) P1=(5,5);P2=(5,-1)A) 6B)6C) 7D) 56) P1=(1,-3);P2=(-7,3)A) 10B) 100C) 11D) 207) P1=(0,10);P2=(-3,10)A) 3B) 10C)109D) 98) P1=(0,0);P2=(9,3)A) 310B) 90C) 12D) 339) P1=(6,2);P2=(-2,-1)A)73B)55C) 24D) 510) P1=(6,-4);P2=(2,-2)A) 25B) 123C) 12D) 6Page10

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11) P1=(-7,-2);P2=(7,-6)A) 253B) 1805C) 180D) 1812) P1=(-0.4,0.5);P2=(-2.2,2.8)Roundtothreedecimalplaces,ifnecessary.A) 2.921B) 20.5C) 9.236D) 3.021Decidewhetherornotthepointsaretheverticesofarighttriangle.13) (-9,6),(-1,6),(-1,9)A) YesB) No14) (-8,7),(-6,11),(-4,10)A) YesB) No15) (-10,-7),(-4,-5),(-5,-10)A) YesB) No16) (-6,-7),(0,-5),(6,-12)A) YesB) NoSolvetheproblem.17) Findallvaluesofksothatthegivenpointsare29unitsapart.(-5,5),(k,0)A)-3,-7B)-7C) 3,7D) 718) FindtheareaoftherighttriangleABCwithA=(-2,7),B=(7,-1),C=(3,9).A) 29squareunitsB) 58squareunitsC)582squareunitsD)292squareunits19) Findallthepointshavinganx-coordinateof9whosedistancefromthepoint(3,-2)is10.A) (9,6),(9,-10)B) (9,2),(9,-4)C) (9,-12),(9,8)D) (9,13),(9,-7)20) Amiddleschoolʹsbaseballplayingfieldisasquare,60 feetonaside.Howfarisitdirectlyfromhomeplatetosecondbase(thediagonalofthesquare)?Ifnecessary,roundtothenearestfoot.A) 85feetB) 86feetC) 84 feetD) 92feet21) Amotorcycleandacarleaveanintersectionatthesametime.Themotorcycleheadsnorthatanaveragespeedof20milesperhour,whilethecarheadseastatanaveragespeedof48milesperhour.Findanexpressionfortheirdistanceapartinmilesattheendofthours.A) 52tmilesB) t68milesC) 52tmilesD) 2t13miles22) Arectangularcityparkhasajoggingloopthatgoesalongalength,width,anddiagonalofthepark.Tothenearestyard,findthelengthofthejoggingloop,ifthelengthoftheparkis125yardsanditswidthis75yards.A) 346yardsB) 146yardsC) 345yardsD) 145yardsPage11

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23) FindthelengthofeachsideofthetriangledeterminedbythethreepointsP1,P2,andP3.Statewhetherthetriangleisanisoscelestriangle,arighttriangle,neitherofthese,orboth.P1=(-5,-4),P2=(-3,4),P3=(0,-1)A) d(P1,P2)=217;d(P2,P3)=34;d(P1,P3)=34bothB) d(P1,P2)=217;d(P2,P3)=34;d(P1,P3)=34isoscelestriangleC) d(P1,P2)=217;d(P2,P3)=34;d(P1,P3)=52righttriangleD) d(P1,P2)=217;d(P2,P3)=34;d(P1,P3)=52neither3UsetheMidpointFormulaMULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.FindthemidpointofthelinesegmentjoiningthepointsP1 andP2.1) P1=(4,9);P2=(8,1)A) (6,5)B) (12,10)C) (-4,8)D) (5,6)2) P1=(-2,3);P2=(-4,-3)A)-3,0B) 1,3C) 2,6D)-6,03) P1=(7,1);P2=(-16,-16)A)-92 ,-152B)232 ,172C)-9,-15D) 9,154) P1=(-0.2,-0.3);P2=(-2.1,-1.6)A) (-1.15,-0.95)B) (-0.95,-1.15)C) (-0.95,-0.65)D) (-0.65,-0.95)5) P1=(a,2);P2=(0,1)A)a2 ,32B) a,3C)-a2 ,1D) a,326) P1=(3a,4);P2=(4a,9)A)7a2 ,132B) 7a,13C) a,5D)13a2,72Solvetheproblem.7) If(-1,-5)istheendpointofalinesegment,and(2,-1)isitsmidpoint,findtheotherendpoint.A) (5,3)B) (5,-9)C) (-7,-13)D) (7,1)8) If(-1,2)istheendpointofalinesegment,and(-3,-2)isitsmidpoint,findtheotherendpoint.A) (-5,-6)B) (-5,6)C) (3,10)D) (-9,-2)9) If(-2,-3)istheendpointofalinesegment,and(2,-4)isitsmidpoint,findtheotherendpoint.A) (6,-5)B) (6,-2)C) (-10,-1)D) (-4,5)10) If(4,-7)istheendpointofalinesegment,and(-1,-5)isitsmidpoint,findtheotherendpoint.A) (-6,-3)B) (-6,-9)C) (14,-11)D) (8,-17)Page12

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11) Themediansofatriangleintersectatapoint.Thedistancefromthevertextothepointisexactlytwo-thirdsofthedistancefromthevertextothemidpointoftheoppositeside.FindtheexactdistanceofthatpointfromthevertexA(3,4)ofatriangle,giventhattheothertwoverticesareat(0,0)and(8,0).A) 2173B)173C) 2D) 831.2GraphsofEquationsinTwoVariables;Intercepts;Symmetry1GraphEquationsbyPlottingPointsMULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.Determinewhetherthegivenpointisonthegraphoftheequation.1) Equation:y=x2-xPoint:(-1,0)A) NoB) Yes2) Equation:x2+y2=4Point:(2,2)A) NoB) YesPage13

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Graphtheequationbyplottingpoints.3) y=x-1x-10-5510y105-5-10x-10-5510y105-5-10A)x-10-5510y105-5-10x-10-5510y105-5-10B)x-10-5510y105-5-10x-10-5510y105-5-10C)x-10-5510y105-5-10x-10-5510y105-5-10D)x-10-5510y105-5-10x-10-5510y105-5-10Page14

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