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All Precalculus Resources
Free Precalculus Diagnostic Tests
Precalculus Diagnostic Test 1
Precalculus Diagnostic Test 2
Precalculus Diagnostic Test 3
Precalculus Diagnostic Test 4
Precalculus Diagnostic Test 5
Precalculus Diagnostic Test 6
Precalculus Diagnostic Test 7
Precalculus Diagnostic Test 8
Precalculus Diagnostic Test 9
Precalculus Diagnostic Test 10
Precalculus Diagnostic Test 11
All Precalculus Resources
Precalculus courses are designed to introduce students to concepts integral to understanding Calculus, giving them a solid foundation on which to base the more complex ideas introduced in Calculus classes. Due to the quick pace at which many Calculus courses are forced to move, many do not spend much time on teaching or reviewing basic concepts; this makes the class much more difficult for students who have not encountered basic Calculus concepts in Precalculus classes. Precalculus is thus highly recommended and often an enforced prerequisite for taking Calculus classes. By ensuring that you have a good grasp of the foundational concepts of Calculus introduced in Precalculus, you can set yourself up for succeeding in later Calculus courses and other advanced math classes. Whether you need top PreCalculus tutors in Albany, PreCalculus tutors in Milwaukee, or top PreCalculus tutors in Albuquerque, working with a pro may take your studies to the next level.
Precalculus builds upon concepts of functions and graphs that should be familiar to students from Algebra I and Algebra II courses. Precalculus covers the solving and graphing of functions, paying particular attention to the properties of functions, including domain, range, maxima, and minima, in order to teach students how to discuss and describe different aspects and properties of functions, which will come in very handy in Calculus courses. Precalculus also examines exponential and logarithmic functions, as well as the use of polynomials in functions and the effects exponents, logarithms, and polynomials each have on a function’s graph. The way in which trigonometric and linear functions are each graphed is covered, and conic sections are explored, including those of ellipses and circles. Varsity Tutors offers resources like free PreCalculus Diagnostic Tests to help with your selfpaced study, or you may want to consider a PreCalculus tutor.
Precalculus also covers sequences and series. In particular, the course examines both arithmetic and geometric series, and teaches students to solve problems dealing with the sums of infinite series, and the terms in a series.
Precalculus also introduces students to limits, an important quality of certain functions that is a foundational concept in Calculus. Students learn to solve for limits, including limits as x approaches infinity and onesided limits. In addition to the PreCalculus Practice Tests and PreCalculus tutoring, you may also want to consider taking some of our PreCalculus Flashcards.
Fully understanding these important Precalculus concepts can drastically reduce the difficulty that you encounter in Calculus courses. Want to review or study some of these Precalculus and Calculus concepts right now? Varsity Tutors’ free Precalculus Practice Tests are a source of multiplechoice Precalculus problems that you can use to review, study, or learn what you need to, when you need to. Each Precalculus problem comes with a complete, stepbystep answer, so if you miss one, you can figure out how to find the correct answer for the next time you encounter a similar problem. Problems are organized into Practice Tests, which draw from a wide variety of Precalculus topics, as well as by concept. So, if you only need to review problems that have to do with limits, you can select just those without having to bypass other problems that you will not find as useful, saving yourself time and allowing you to study in a targeted, efficient manner. By using Varsity Tutors’ free Precalculus resources effectively, you can keep up with your Precalculus, review Precalculus concepts while taking more advanced classes, or get an idea of the topics and questions that await you in a Precalculus course you have yet to take. Good luck learning these important mathematical concepts!
Free Precalculus Practice Tests
Practice Tests by Concept
Conic sections practice test
precalculusconicsectionsCircles practice test
precalculuscirclesDetermine the equation of a circle in standard form practice test
precalculusdeterminetheequationofacircleinstandardformEllipses practice test
precalculusellipsesHyperbolas practice test
precalculushyperbolasHyperbolas and ellipses practice test
precalculushyperbolasandellipsesUnderstand features of hyperbolas and ellipses practice test
precalculusunderstandfeaturesofhyperbolasandellipsesParabolas practice test
precalculusparabolasDetermine the equation of a parabola and graph a parabola practice test
precalculusdeterminetheequationofaparabolaandgraphaparabolaFind the vertex and the axis of symmetry of a parabola practice test
precalculusfindthevertexandtheaxisofsymmetryofaparabolaGraph a parabola practice test
precalculusgraphaparabolaPolar equations of conic sections practice test
precalculuspolarequationsofconicsectionsFind the polar equation of a conic section practice test
precalculusfindthepolarequationofaconicsectionIdentify the conic with a given polar equation practice test
precalculusidentifytheconicwithagivenpolarequationQuadratic systems practice test
precalculusquadraticsystemsSolve a system of quadratic equations practice test
precalculussolveasystemofquadraticequationsExponential and logarithmic functions practice test
precalculusexponentialandlogarithmicfunctionsApplication problems practice test
precalculusapplicationproblemsExponential equations and inequalities practice test
precalculusexponentialequationsandinequalitiesUse logarithms to solve exponential equations and inequalities practice test
precalculususelogarithmstosolveexponentialequationsandinequalitiesExponential functions practice test
precalculusexponentialfunctionsGraph exponential functions practice test
precalculusgraphexponentialfunctionsSolve exponential equations practice test
precalculussolveexponentialequationsLogarithmic functions practice test
precalculuslogarithmicfunctionsGraph logarithms practice test
precalculusgraphlogarithmsProperties of logarithms practice test
precalculuspropertiesoflogarithmsSolve logarithmic equations practice test
precalculussolvelogarithmicequationsRational exponents practice test
precalculusrationalexponentsSimplify expressions with rational exponents practice test
precalculussimplifyexpressionswithrationalexponentsFunctions practice test
precalculusfunctionsAlgebra of functions practice test
precalculusalgebraoffunctionsAdd, subtract, multiply, and divide functions practice test
precalculusaddsubtractmultiplyanddividefunctionsComposition of functions practice test
precalculuscompositionoffunctionsCartesian coordinate system practice test
precalculuscartesiancoordinatesystemGraph equations practice test
precalculusgraphequationsPlot points practice test
precalculusplotpointsInverse functions practice test
precalculusinversefunctionsFind the inverse of a function practice test
precalculusfindtheinverseofafunctionFind the inverse of a relation practice test
precalculusfindtheinverseofarelationModeling practice test
precalculusmodelingLinear modeling practice test
precalculuslinearmodelingReal numbers practice test
precalculusrealnumbersDefine a field practice test
precalculusdefineafieldRelations and functions practice test
precalculusrelationsandfunctionsDetermine if a relation is a function practice test
precalculusdetermineifarelationisafunctionDomain and range practice test
precalculusdomainandrangeEvaluate functions practice test
precalculusevaluatefunctionsSpecial functions practice test
precalculusspecialfunctionsAbsolute value functions practice test
precalculusabsolutevaluefunctionsGreatest integer functions practice test
precalculusgreatestintegerfunctionsPiecewise functions practice test
precalculuspiecewisefunctionsGraphing functions practice test
precalculusgraphingfunctionsAmplitude, period, phase shift of a trig function practice test
precalculusamplitudeperiodphaseshiftofatrigfunctionDistance practice test
precalculusdistanceFind the distance between a point and a line practice test
precalculusfindthedistancebetweenapointandalineFind the distance between two parallel lines practice test
precalculusfindthedistancebetweentwoparallellinesGraphing quadratic functions practice test
precalculusgraphingquadraticfunctionsExpress a quadratic function in vertex form practice test
precalculusexpressaquadraticfunctioninvertexformGraph a quadratic function using intercepts, vertex, and axis of symmetry practice test
precalculusgraphaquadraticfunctionusinginterceptsvertexandaxisofsymmetryGraphs practice test
precalculusgraphsLinear functions practice test
precalculuslinearfunctionsDetermine the equation of a linear function practice test
precalculusdeterminetheequationofalinearfunctionGraph a linear function practice test
precalculusgraphalinearfunctionSolving polynomial equations practice test
precalculussolvingpolynomialequationsSolve a polynomial by factoring practice test
precalculussolveapolynomialbyfactoringSolving quadratic equations practice test
precalculussolvingquadraticequationsFind roots of quadratic equation using discriminant practice test
precalculusfindrootsofquadraticequationusingdiscriminantSolve a quadratic equation practice test
precalculussolveaquadraticequationWrite a quadratic equation when given its solutions practice test
precalculuswriteaquadraticequationwhengivenitssolutionsSymmetry practice test
precalculussymmetryDetermine the symmetry of an equation practice test
precalculusdeterminethesymmetryofanequationTransformations practice test
precalculustransformationsReflections practice test
precalculusreflectionsTranslations practice test
precalculustranslationsTrigonometric graphs (all six) practice test
precalculustrigonometricgraphsallsixGraphs and inverses of trigonometric functions practice test
precalculusgraphsandinversesoftrigonometricfunctionsGraphing inverse trig functions practice test
precalculusgraphinginversetrigfunctionsGraphing tangent, cosecant, secant, and cotangent functions practice test
precalculusgraphingtangentcosecantsecantandcotangentfunctionsFind the equations of vertical asymptotes of tangent, cosecant, secant, and cotangent functions practice test
precalculusfindtheequationsofverticalasymptotesoftangentcosecantsecantandcotangentfunctionsGraphing the sine and cosine functions practice test
precalculusgraphingthesineandcosinefunctionsFind the amplitude of a sine or cosine function practice test
precalculusfindtheamplitudeofasineorcosinefunctionFind the period of a sine or cosine function practice test
precalculusfindtheperiodofasineorcosinefunctionFind the phase shift of a sine or cosine function practice test
precalculusfindthephaseshiftofasineorcosinefunctionGraph the sine or cosine function practice test
precalculusgraphthesineorcosinefunctionHarmonic motion practice test
precalculusharmonicmotionSet up an equation that models harmonic motion practice test
precalculussetupanequationthatmodelsharmonicmotionInverse sine and cosine functions practice test
precalculusinversesineandcosinefunctionsEvaluate expressions that include the inverse sine or cosine function practice test
precalculusevaluateexpressionsthatincludetheinversesineorcosinefunctionInverse trigonometric functions practice test
precalculusinversetrigonometricfunctionsEvaluate expressions that include the inverse tangent, cosecant, secant, or cotangent function practice test
precalculusevaluateexpressionsthatincludetheinversetangentcosecantsecantorcotangentfunctionInequalities and linear programming practice test
precalculusinequalitiesandlinearprogrammingLinear inequalities practice test
precalculuslinearinequalitiesSolve absolute value inequalities practice test
precalculussolveabsolutevalueinequalitiesSolve and graph linear inequalities practice test
precalculussolveandgraphlinearinequalitiesQuadratic inequalities practice test
precalculusquadraticinequalitiesSolve quadratic inequalities practice test
precalculussolvequadraticinequalitiesSolving polynomial and rational inequalities practice test
precalculussolvingpolynomialandrationalinequalitiesSolve and graph polynomial inequalities practice test
precalculussolveandgraphpolynomialinequalitiesSolve and graph rational inequalities practice test
precalculussolveandgraphrationalinequalitiesSystems of equations practice test
precalculussystemsofequationsSolve nonlinear systems of equations practice test
precalculussolvenonlinearsystemsofequationsSolve systems of linear equations practice test
precalculussolvesystemsoflinearequationsIntroductory calculus practice test
precalculusintroductorycalculusArea under a curve practice test
precalculusareaunderacurveApproximate area using rectangles practice test
precalculusapproximateareausingrectanglesFind the area using limits practice test
precalculusfindtheareausinglimitsDerivatives practice test
precalculusderivativesDetermine points of inflection practice test
precalculusdeterminepointsofinflectionFind the critical numbers of a function practice test
precalculusfindthecriticalnumbersofafunctionFind the first derivative of a function practice test
precalculusfindthefirstderivativeofafunctionFind the second derivative of a function practice test
precalculusfindthesecondderivativeofafunctionMaximum and minimum problems practice test
precalculusmaximumandminimumproblemsRate of change problems practice test
precalculusrateofchangeproblemsLimits practice test
precalculuslimitsDetermine if a function is continuous using limits practice test
precalculusdetermineifafunctioniscontinuoususinglimitsFind the limit of a function practice test
precalculusfindthelimitofafunctionTangents to a curve practice test
precalculustangentstoacurveFind the equation of a line tangent to a curve at a given point practice test
precalculusfindtheequationofalinetangenttoacurveatagivenpointFind the slope of a line tangent to a curve at a given point practice test
precalculusfindtheslopeofalinetangenttoacurveatagivenpointMatrices and vectors practice test
precalculusmatricesandvectorsAlgebraic vectors and parametric equations practice test
precalculusalgebraicvectorsandparametricequationsExpress a vector in component form practice test
precalculusexpressavectorincomponentformExpress a vector in polar form practice test
precalculusexpressavectorinpolarformFind a direction vector when given two points practice test
precalculusfindadirectionvectorwhengiventwopointsFind a vector equation when given two points practice test
precalculusfindavectorequationwhengiventwopointsFind the unit vector in the same direction as a given vector practice test
precalculusfindtheunitvectorinthesamedirectionasagivenvectorParametric equations practice test
precalculusparametricequationsAugmented matrices practice test
precalculusaugmentedmatricesSolve a system of equations in three variables using augmented matrices practice test
precalculussolveasystemofequationsinthreevariablesusingaugmentedmatricesGeometric vectors practice test
precalculusgeometricvectorsEvaluate geometric vectors practice test
precalculusevaluategeometricvectorsInverses of matrices practice test
precalculusinversesofmatricesFind the multiplicative inverse of a matrix practice test
precalculusfindthemultiplicativeinverseofamatrixSolve a system of equations using the multiplicative inverse practice test
precalculussolveasystemofequationsusingthemultiplicativeinverseMultiplication of matrices practice test
precalculusmultiplicationofmatricesFind the product of a matrix and a scalar practice test
precalculusfindtheproductofamatrixandascalarFind the product of two matrices practice test
precalculusfindtheproductoftwomatricesParallel and perpendicular vectors in two dimensions practice test
precalculusparallelandperpendicularvectorsintwodimensionsDetermine if two vectors are parallel or perpendicular practice test
precalculusdetermineiftwovectorsareparallelorperpendicularSum or difference of two matrices practice test
precalculussumordifferenceoftwomatricesFind the sum or difference of two matrices practice test
precalculusfindthesumordifferenceoftwomatricesPolar coordinates and complex numbers practice test
precalculuspolarcoordinatesandcomplexnumbersGraphs of polar equations practice test
precalculusgraphsofpolarequationsDetermine the polar equation of a graph practice test
precalculusdeterminethepolarequationofagraphPolar coordinates practice test
precalculuspolarcoordinatesConvert polar coordinates to rectangular coordinates practice test
precalculusconvertpolarcoordinatestorectangularcoordinatesConvert polar equations to rectangular form and vice versa practice test
precalculusconvertpolarequationstorectangularformandviceversaConvert rectangular coordinates to polar coordinates and vice versa practice test
precalculusconvertrectangularcoordinatestopolarcoordinatesandviceversaPolar form of complex numbers practice test
precalculuspolarformofcomplexnumbersExpress complex numbers in polar form practice test
precalculusexpresscomplexnumbersinpolarformExpress complex numbers in rectangular form practice test
precalculusexpresscomplexnumbersinrectangularformPowers and roots of complex numbers practice test
precalculuspowersandrootsofcomplexnumbersEvaluate powers of complex numbers using demoivre's theorem practice test
precalculusevaluatepowersofcomplexnumbersusingdemoivrestheoremFind the roots of complex numbers practice test
precalculusfindtherootsofcomplexnumbersProducts and quotients of complex numbers in polar form practice test
precalculusproductsandquotientsofcomplexnumbersinpolarformFind the product of complex numbers practice test
precalculusfindtheproductofcomplexnumbersFind the quotient of complex numbers practice test
precalculusfindthequotientofcomplexnumbersPolynomial functions practice test
precalculuspolynomialfunctionsDescartes' rule, intermediate value theorem, sum and product of zeros practice test
precalculusdescartesruleintermediatevaluetheoremsumandproductofzerosDetermine the number of positive and negative real zeros of a polynomial using descartes' rule of signs practice test
precalculusdeterminethenumberofpositiveandnegativerealzerosofapolynomialusingdescartesruleofsignsFind the sum and product of the zeros of a polynomial practice test
precalculusfindthesumandproductofthezerosofapolynomialFundamental theorem of algebra practice test
precalculusfundamentaltheoremofalgebraExpress a polynomial as a product of linear factors practice test
precalculusexpressapolynomialasaproductoflinearfactorsFind complex zeros of a polynomial using the fundamental theorem of algebra practice test
precalculusfindcomplexzerosofapolynomialusingthefundamentaltheoremofalgebraGraphs of polynomial functions practice test
precalculusgraphsofpolynomialfunctionsGraph a polynomial function practice test
precalculusgraphapolynomialfunction_aaWrite the equation of a polynomial function based on its graph practice test
precalculuswritetheequationofapolynomialfunctionbasedonitsgraph_aaIntegral and rational zeros of polynomial functions practice test
precalculusintegralandrationalzerosofpolynomialfunctionsFind the zeros of a function using the rational zeros theorem practice test
precalculusfindthezerosofafunctionusingtherationalzerostheoremRadical functions practice test
precalculusradicalfunctionsSolve radical equations and inequalities practice test
precalculussolveradicalequationsandinequalitiesRational functions practice test
precalculusrationalfunctionsFind a point of discontinuity practice test
precalculusfindapointofdiscontinuityFind intercepts and asymptotes practice test
precalculusfindinterceptsandasymptotesRational equations and partial fractions practice test
precalculusrationalequationsandpartialfractionsSynthetic division and the remainder and factor theorems practice test
precalculussyntheticdivisionandtheremainderandfactortheoremsDivide polynomials by binomials using synthetic division practice test
precalculusdividepolynomialsbybinomialsusingsyntheticdivisionEvaluate a polynomial using synthetic substitution practice test
precalculusevaluateapolynomialusingsyntheticsubstitution_aaSequences and series practice test
precalculussequencesandseriesArithmetic and geometric series practice test
precalculusarithmeticandgeometricseriesPartial sums of series practice test
precalculuspartialsumsofseriesSigma notation practice test
precalculussigmanotationSums of infinite series practice test
precalculussumsofinfiniteseriesTerms in a series practice test
precalculustermsinaseriesTrigonometric applications practice test
precalculustrigonometricapplicationsArea of a triangle practice test
precalculusareaofatriangleUse trigonometric functions to calculate the area of a triangle practice test
precalculususetrigonometricfunctionstocalculatetheareaofatriangleLaw of cosines and sines practice test
precalculuslawofcosinesandsinesUse the laws of cosines and sines practice test
precalculususethelawsofcosinesandsinesSolving right triangles practice test
precalculussolvingrighttrianglesSolve a right triangle practice test
precalculussolvearighttriangleTrigonometric functions practice test
precalculustrigonometricfunctionsAngle measures in degrees and radians practice test
precalculusanglemeasuresindegreesandradiansConvert between degrees and radians practice test
precalculusconvertbetweendegreesandradiansFind the area of a sector using radians practice test
precalculusfindtheareaofasectorusingradiansFind the length of the arc of a circle using radians practice test
precalculusfindthelengthofthearcofacircleusingradiansAngles in the coordinate plane practice test
precalculusanglesinthecoordinateplaneFind the degree measure of an angle practice test
precalculusfindthedegreemeasureofanangleFind the measure of a coterminal angle practice test
precalculusfindthemeasureofacoterminalangleAngular and linear velocity practice test
precalculusangularandlinearvelocitySolve angular velocity problems practice test
precalculussolveangularvelocityproblemsSolve linear velocity problems practice test
precalculussolvelinearvelocityproblemsCircular functions practice test
precalculuscircularfunctionsFind the value of the sine or cosine functions of an angle given a point on its terminal side practice test
precalculusfindthevalueofthesineorcosinefunctionsofananglegivenapointonitsterminalsideEvaluating trig functions practice test
precalculusevaluatingtrigfunctionsFind the decimal value of a trigonometric function practice test
precalculusfindthedecimalvalueofatrigonometricfunctionFind the degree measure of an angle for which the value of a trigonometric function is known practice test
precalculusfindthedegreemeasureofanangleforwhichthevalueofatrigonometricfunctionisknownFundamental trigonometric identities practice test
precalculusfundamentaltrigonometricidentitiesSimplify expressions using trigonometric identities practice test
precalculussimplifyexpressionsusingtrigonometricidentities_aaProving trig identities practice test
precalculusprovingtrigidentitiesProve trigonometric identities practice test
precalculusprovetrigonometricidentitiesTrigonometric functions practice test
precalculustrigonometricfunctionsDetermine the domain of a trigonometric function practice test
precalculusdeterminethedomainofatrigonometricfunctionFind the value of any of the six trigonometric functions practice test
precalculusfindthevalueofanyofthesixtrigonometricfunctionsTrigonometric identities practice test
precalculustrigonometricidentitiesSolving trigonometric equations and inequalities practice test
precalculussolvingtrigonometricequationsandinequalitiesSolve trigonometric equations and inequalities practice test
precalculussolvetrigonometricequationsandinequalitiesSolve trigonometric equations and inequalities in quadratic form practice test
precalculussolvetrigonometricequationsandinequalitiesinquadraticformSum and difference identities practice test
precalculussumanddifferenceidentitiesSolve trigonometric equations and inequalities practice test
precalculussolvetrigonometricequationsandinequalities_aaSum and difference identities for cosine practice test
precalculussumanddifferenceidentitiesforcosineSum and difference identities for sine practice test
precalculussumanddifferenceidentitiesforsineSum and difference identities for tangent practice test
precalculussumanddifferenceidentitiesfortangentAll Precalculus Resources
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