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Test Bank for Precalculus Concepts Through Functions, A Right Triangle Approach to Trigonometry, 3rd Edition

Test Bank for Precalculus Concepts Through Functions, A Right Triangle Approach to Trigonometry, 3rd Edition provides a complete breakdown of important topics, helping you study efficiently and effectively.

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Ch.0Foundations:APreludetoFunctions0.1TheDistanceandMidpointFormulas1UsetheDistanceFormulaMULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.Plotthepoint.1) (4,2)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6A)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6B)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6C)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6D)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6Page1

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2) (-5,3)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6A)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6B)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6C)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6D)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6Page2

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3) (5,-1)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6A)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6B)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6C)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6D)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6Page3

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4) (-1,-2)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6A)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6B)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6C)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6D)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6Page4

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5) (0,-6)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6A)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6B)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6C)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6D)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6Page5

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6) (2,0)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6A)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6B)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6C)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6D)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6Tellinwhichquadrantoronwhatcoordinateaxisthepointlies.7) (15,18)A) QuadrantIB) QuadrantIIC) QuadrantIIID) QuadrantIV8) (-9,20)A) QuadrantIIB) QuadrantIC) QuadrantIIID) QuadrantIV9) (-9,-14)A) QuadrantIIIB) QuadrantIC) QuadrantIID) QuadrantIV10) (20,-19)A) QuadrantIVB) QuadrantIC) QuadrantIID) QuadrantIII11) (0,1)A) y-axisB) x-axisC) QuadrantID) QuadrantIIPage6

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12) (10,0)A) x-axisB) y-axisC) QuadrantID) QuadrantIIFindthedistanced(P1,P2)betweenthepointsP1 andP2.13)x-6-4-2246y642-2-4-6x-6-4-2246y642-2-4-6A)13B) 1C) 2D) 014)x-8-6-4-22468y8642-2-4-6-8x-8-6-4-22468y8642-2-4-6-8A)85B)77C) 18D) 715)x-8-6-4-22468y8642-2-4-6-8x-8-6-4-22468y8642-2-4-6-8A) 25B) 123C) 12D) 2Page7

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16)x-8-6-4-22468y8642-2-4-6-8x-8-6-4-22468y8642-2-4-6-8A) 229B) 8421C) 84D) 617) P1=(-1,-1);P2=(-1,1)A) 2B)2C) 3D) 118) P1=(4,-1);P2=(0,2)A) 5B) 25C) 6D) 1019) P1=(0,6);P2=(10,6)A) 10B) 6C) 234D) 10020) P1=(0,0);P2=(-10,7)A)149B) 149C) 3D)1721) P1=(4,3);P2=(-2,-2)A)61B)11C) 30D) 122) P1=(6,-1);P2=(4,-7)A) 210B) 322C) 32D) 423) P1=(-1,-5);P2=(6,-6)A) 52B) 483C) 48D) 824) P1=(-0.1,-0.8);P2=(2.9,1.3)Roundtothreedecimalplaces,ifnecessary.A) 3.662B) 25.5C) 11.58D) 3.762Decidewhetherornotthepointsaretheverticesofarighttriangle.25) (3,-7),(10,-7),(10,-4)A) YesB) No26) (9,2),(11,6),(13,5)A) YesB) No27) (-9,5),(-3,7),(-4,2)A) NoB) Yes28) (-9,11),(-3,13),(3,6)A) NoB) YesPage8

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Solvetheproblem.29) Findallvaluesofksothatthegivenpointsare29unitsapart.(-5,5),(k,0)A)-3,-7B)-7C) 3,7D) 730) FindtheareaoftherighttriangleABCwithA=(-2,7),B=(7,-1),C=(3,9).A) 29squareunitsB) 58squareunitsC)582squareunitsD)292squareunits31) 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)32) Amiddleschoolʹsbaseballplayingfieldisasquare,65 feetonaside.Howfarisitdirectlyfromhomeplatetosecondbase(thediagonalofthesquare)?Ifnecessary,roundtothenearestfoot.A) 92feetB) 93feetC) 91 feetD) 99feet33) Amotorcycleandacarleaveanintersectionatthesametime.Themotorcycleheadsnorthatanaveragespeedof20milesperhour,whilethecarheadseastatanaveragespeedof48milesperhour.Findanexpressionfortheirdistanceapartinmilesattheendofthours.A) 52tmilesB) t68milesC) 52tmilesD) 2t13miles34) 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)=52neither2UsetheMidpointFormulaMULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.FindthemidpointofthelinesegmentjoiningthepointsP1 andP2.1) P1=(9,6);P2=(5,4)A) (7,5)B) (14,10)C) (4,2)D) (5,7)2) P1=(-8,-8);P2=(6,7)A)- 1,- 12B)- 7,- 152C)-14,-15D)-2,-13) P1=(7,1);P2=(-16,-16)A)-92 ,-152B)232 ,172C)-9,-15D) 9,154) P1=(-0.6,0.5);P2=(-2.1,-1.8)A) (-1.35,-0.65)B) (-0.65,-1.35)C) (-0.75,-1.15)D) (-1.15,-0.75)Page9

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5) P1=(x,8);P2=(0,6)A)x2 ,7B) x,14C)-x2 ,2D) x,76) P1=(3a,9);P2=(4a,6)A)7a2 ,152B) 7a,15C)a,3D)15a2,72Solvetheproblem.7) If(-2,3)istheendpointofalinesegment,and(-1,5)isitsmidpoint,findtheotherendpoint.A) (0,7)B) (0,1)C) (-4,-1)D) (2,5)8) If(-1,5)istheendpointofalinesegment,and(-6,1)isitsmidpoint,findtheotherendpoint.A) (-11,-3)B) (-11,9)C) (9,13)D) (-9,-5)9) If(-3,-4)istheendpointofalinesegment,and(0,-9)isitsmidpoint,findtheotherendpoint.A) (3,-14)B) (3,1)C) (-9,6)D) (-13,2)10) If(-3,-1)istheendpointofalinesegment,and(-6,1)isitsmidpoint,findtheotherendpoint.A) (-9,3)B) (-9,-3)C) (3,-5)D) (1,-7)11) Themediansofatriangleintersectatapoint.Thedistancefromthevertextothepointisexactlytwo-thirdsofthedistancefromthevertextothemidpointoftheoppositeside.FindtheexactdistanceofthatpointfromthevertexA(3,4)ofatriangle,giventhattheothertwoverticesareat(0,0)and(8,0).A) 2173B)173C) 2D) 830.2GraphsofEquationsinTwoVariables;Intercepts;Symmetry1GraphEquationsbyPlottingPointsMULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.Determinewhetherthegivenpointisonthegraphoftheequation.1) Equation:y=x2-xPoint:(0,0)A) YesB) No2) Equation:x2+y2=64Point:( 0,8)A) YesB) NoPage10

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Graphtheequationbyplottingpoints.3) y=x- 2x-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-10-5510y105-5-10Page11

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4) y=2x- 4x-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-10-5510y105-5-10Page12

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5) y=x2 - 4x-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-10-5510y105-5-10Page13

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6) 2x+4y=8x-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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7) 4x2+9y=36x-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-10-5510y105-5-10Solvetheproblem.8) If(a,3)isapointonthegraphofy=2x-5,whatisa?A) 4B) 1C)-1D)-49) If(3,b)isapointonthegraphof3x-2y=17,whatisb?A)-4B) 4C) 233D) 113Page15
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Precalculus: Concepts Through Funct...

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