2025年下学期高中数学SAT考试模拟试卷

2025年下学期高中数学SAT考试模拟试卷SECTION3:NO-CALCULATORTime:25minutes20QuestionsMultipleChoiceChoosethebestanswerforeachquestion.If(f(x)=3x^2-2x+5),whatisthevalueof(f(-2))?A)11B)17C)21D)25Inthecoordinateplane,line(l)passesthroughthepoints((2,5))and((4,9)).Whatistheslope-interceptformofline(l)?A)(y=2x+1)B)(y=-2x+9)C)(y=x+3)D)(y=-x+7)Whichofthefollowingisequivalentto(\frac{x^2-4x-12}{x^2-9})for(x\neq3)and(x\neq-3)?A)(\frac{x-6}{x-3})B)(\frac{x+2}{x+3})C)(\frac{x-6}{x+3})D)(\frac{x+2}{x-3})If(2x+3y=12)and(4x-y=5),whatisthevalueof(x+y)?A)3B)4C)5D)6Thefunction(g(x)=\sqrt{x-4}+2)hasadomainof:A)(x\geq4)B)(x>4)C)(x\geq2)D)(x>2)Intriangle(ABC),(\angleA=30^\circ),(\angleB=60^\circ),andside(BC=4).Whatisthelengthofside(AC)?A)(2\sqrt{3})B)(4\sqrt{3})C)(8)D)(4)If((x+2)^2=25),whichofthefollowingcouldbethevalueof(x)?A)-7B)-3C)2D)5Thecirclewithequation((x-3)^2+(y+1)^2=16)hasacenterat:A)((3,1))B)((-3,1))C)((3,-1))D)((-3,-1))Astoresellsapplesfor$1.50eachandbananasfor$0.75each.Ifacustomerbuys10fruitstotalandspends$12.00,howmanyapplesdidtheybuy?A)4B)5C)6D)7If(\log_2(x+3)=4),then(x=):A)13B)16C)19D)21Grid-InSolveeachproblemandenteryouranswerinthegridprovided.Whatisthevalueof(3^2+2^3-\sqrt{16})?Theaverageoffivenumbersis12.Iffourofthenumbersare8,10,14,and16,whatisthefifthnumber?Arectanglehasalengthof(2x+3)andawidthof(x-1).Ifitsareais28,whatisthevalueof(x)?Inarighttriangle,thelegsare5and12.Whatistheperimeterofthetriangle?If(f(x)=2x-5)and(g(x)=x^2+1),whatis(f(g(3)))?SECTION4:CALCULATORTime:55minutes38QuestionsMultipleChoiceThepopulationofacitygrowsexponentiallyaccordingtothemodel(P(t)=5000e^{0.03t}),where(t)isthetimeinyears.Whatisthepopulationafter10years?(Roundtothenearestwholenumber.)A)6749B)6802C)6918D)7040Aquadraticfunctionhasrootsat(x=-2)and(x=5),andpassesthroughthepoint((1,-12)).Whatistheequationofthefunctioninstandardform?A)(y=x^2-3x-10)B)(y=2x^2-6x-20)C)(y=-x^2+3x+10)D)(y=-2x^2+6x+20)Thetablebelowshowstherelationshipbetween(x)and(y).Whichequationbestmodelsthedata?(x)1234(y)371115A)(y=4x-1)B)(y=3x+0)C)(y=2x^2+1)D)(y=x^2+2x)Inacirclewithradius6,whatisthelengthofanarcthatsubtendsacentralangleof(120^\circ)?A)(2\pi)B)(4\pi)C)(6\pi)D)(12\pi)Asurveyof200studentsfoundthat120likemath,90likescience,and40likeboth.Howmanystudentslikeneithermathnorscience?A)10B)20C)30D)40Thevolumeofasphereis(\frac{256}{3}\pi).Whatisthesurfaceareaofthesphere?A)(16\pi)B)(32\pi)C)(64\pi)D)(128\pi)If(\sin\theta=\frac{3}{5})and(\theta)isinthefirstquadrant,whatis(\tan\theta)?A)(\frac{3}{4})B)(\frac{4}{3})C)(\frac{3}{5})D)(\frac{4}{5})Alinehasaslopeof(-\frac{2}{3})andpassesthroughthepoint((6,-1)).Whatisthe(y)-interceptoftheline?A)-5B)-3C)3D)5Thefunction(h(x)=x^3-6x^2+9x)hasalocalmaximumatwhich(x)-value?A)1B)2C)3D)4Acompany’sprofit(P)(indollars)fromselling(x)unitsisgivenby(P(x)=-0.5x^2+20x-100).Howmanyunitsmustbesoldtomaximizeprofit?A)10B)20C)30D)40If(\frac{x}{y}=\frac{3}{4}),then(\frac{x+y}{y}=):A)(\frac{3}{7})B)(\frac{4}{7})C)(\frac{7}{4})D)(\frac{7}{3})Thestandarddeviationofthedataset({2,4,6,8,10})is:A)2B)(2\sqrt{2})C)4D)(4\sqrt{2})Aconehasaheightof12andabaseradiusof5.Whatistheslantheightofthecone?A)13B)15C)17D)20If((a+b)^2=25)and(ab=6),whatisthevalueof(a^2+b^2)?A)13B)19C)25D)37Theequation(2x^2-5x-3=0)hassolutions:A)(x=-\frac{1}{2},3)B)(x=\frac{1}{2},-3)C)(x=-2,\frac{3}{2})D)(x=2,-\frac{3}{2})Grid-InAcartravels120milesatanaveragespeedof60mph,then180milesatanaveragespeedof45mph.Whatisthetotaltime(inhours)forthetrip?Theareaofatrapezoidwithbases8and12,andheight5is:If(4^{x}=8^{x-1}),whatisthevalueof(x)?Inaprobabilityexperiment,afairsix-sideddieisrolledtwice.Whatistheprobabilitythatthesumofthetworollsis7?Thefunction(f(x)=ax+b)passesthrough((2,5))and((4,9)).Whatisthevalueof(a+b)?Acirclehasacircumferenceof(10\pi).Whatistheareaofthecircle?Thesumofthefirst10positiveevenintegersis:If(x^2+y^2=25)and(xy=12),whatisthevalueof((x-y)^2)?ENDOFTESTAnswerKeySection3:No-CalculatorCAACADACCA131253015Section4:Calculator16.B17.C18.A19.B20.C21.C22.A23.C24.A25.B26.C27.B28.A29.A30.A31.732.5033.334.1/635.336.25π37.11038.1ScoringNotesEachcorrectmultiple-choicequestionisworth1