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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 Pre-Calculus tutors in Albany, Pre-Calculus tutors in Milwaukee, or top Pre-Calculus 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 Pre-Calculus Diagnostic Tests to help with your self-paced study, or you may want to consider a Pre-Calculus 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 one-sided limits. In addition to the Pre-Calculus Practice Tests and Pre-Calculus tutoring, you may also want to consider taking some of our Pre-Calculus 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 multiple-choice 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, step-by-step 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
precalculus-conic-sectionsCircles practice test
precalculus-circlesDetermine the equation of a circle in standard form practice test
precalculus-determine-the-equation-of-a-circle-in-standard-formEllipses practice test
precalculus-ellipsesHyperbolas practice test
precalculus-hyperbolasHyperbolas and ellipses practice test
precalculus-hyperbolas-and-ellipsesUnderstand features of hyperbolas and ellipses practice test
precalculus-understand-features-of-hyperbolas-and-ellipsesParabolas practice test
precalculus-parabolasDetermine the equation of a parabola and graph a parabola practice test
precalculus-determine-the-equation-of-a-parabola-and-graph-a-parabolaFind the vertex and the axis of symmetry of a parabola practice test
precalculus-find-the-vertex-and-the-axis-of-symmetry-of-a-parabolaGraph a parabola practice test
precalculus-graph-a-parabolaPolar equations of conic sections practice test
precalculus-polar-equations-of-conic-sectionsFind the polar equation of a conic section practice test
precalculus-find-the-polar-equation-of-a-conic-sectionIdentify the conic with a given polar equation practice test
precalculus-identify-the-conic-with-a-given-polar-equationQuadratic systems practice test
precalculus-quadratic-systemsSolve a system of quadratic equations practice test
precalculus-solve-a-system-of-quadratic-equationsExponential and logarithmic functions practice test
precalculus-exponential-and-logarithmic-functionsApplication problems practice test
precalculus-application-problemsExponential equations and inequalities practice test
precalculus-exponential-equations-and-inequalitiesUse logarithms to solve exponential equations and inequalities practice test
precalculus-use-logarithms-to-solve-exponential-equations-and-inequalitiesExponential functions practice test
precalculus-exponential-functionsGraph exponential functions practice test
precalculus-graph-exponential-functionsSolve exponential equations practice test
precalculus-solve-exponential-equationsLogarithmic functions practice test
precalculus-logarithmic-functionsGraph logarithms practice test
precalculus-graph-logarithmsProperties of logarithms practice test
precalculus-properties-of-logarithmsSolve logarithmic equations practice test
precalculus-solve-logarithmic-equationsRational exponents practice test
precalculus-rational-exponentsSimplify expressions with rational exponents practice test
precalculus-simplify-expressions-with-rational-exponentsFunctions practice test
precalculus-functionsAlgebra of functions practice test
precalculus-algebra-of-functionsAdd, subtract, multiply, and divide functions practice test
precalculus-add-subtract-multiply-and-divide-functionsComposition of functions practice test
precalculus-composition-of-functionsCartesian coordinate system practice test
precalculus-cartesian-coordinate-systemGraph equations practice test
precalculus-graph-equationsPlot points practice test
precalculus-plot-pointsInverse functions practice test
precalculus-inverse-functionsFind the inverse of a function practice test
precalculus-find-the-inverse-of-a-functionFind the inverse of a relation practice test
precalculus-find-the-inverse-of-a-relationModeling practice test
precalculus-modelingLinear modeling practice test
precalculus-linear-modelingReal numbers practice test
precalculus-real-numbersDefine a field practice test
precalculus-define-a-fieldRelations and functions practice test
precalculus-relations-and-functionsDetermine if a relation is a function practice test
precalculus-determine-if-a-relation-is-a-functionDomain and range practice test
precalculus-domain-and-rangeEvaluate functions practice test
precalculus-evaluate-functionsSpecial functions practice test
precalculus-special-functionsAbsolute value functions practice test
precalculus-absolute-value-functionsGreatest integer functions practice test
precalculus-greatest-integer-functionsPiecewise functions practice test
precalculus-piecewise-functionsGraphing functions practice test
precalculus-graphing-functionsAmplitude, period, phase shift of a trig function practice test
precalculus-amplitude-period-phase-shift-of-a-trig-functionDistance practice test
precalculus-distanceFind the distance between a point and a line practice test
precalculus-find-the-distance-between-a-point-and-a-lineFind the distance between two parallel lines practice test
precalculus-find-the-distance-between-two-parallel-linesGraphing quadratic functions practice test
precalculus-graphing-quadratic-functionsExpress a quadratic function in vertex form practice test
precalculus-express-a-quadratic-function-in-vertex-formGraph a quadratic function using intercepts, vertex, and axis of symmetry practice test
precalculus-graph-a-quadratic-function-using-intercepts-vertex-and-axis-of-symmetryGraphs practice test
precalculus-graphsLinear functions practice test
precalculus-linear-functionsDetermine the equation of a linear function practice test
precalculus-determine-the-equation-of-a-linear-functionGraph a linear function practice test
precalculus-graph-a-linear-functionSolving polynomial equations practice test
precalculus-solving-polynomial-equationsSolve a polynomial by factoring practice test
precalculus-solve-a-polynomial-by-factoringSolving quadratic equations practice test
precalculus-solving-quadratic-equationsFind roots of quadratic equation using discriminant practice test
precalculus-find-roots-of-quadratic-equation-using-discriminantSolve a quadratic equation practice test
precalculus-solve-a-quadratic-equationWrite a quadratic equation when given its solutions practice test
precalculus-write-a-quadratic-equation-when-given-its-solutionsSymmetry practice test
precalculus-symmetryDetermine the symmetry of an equation practice test
precalculus-determine-the-symmetry-of-an-equationTransformations practice test
precalculus-transformationsReflections practice test
precalculus-reflectionsTranslations practice test
precalculus-translationsTrigonometric graphs (all six) practice test
precalculus-trigonometric-graphs-all-sixGraphs and inverses of trigonometric functions practice test
precalculus-graphs-and-inverses-of-trigonometric-functionsGraphing inverse trig functions practice test
precalculus-graphing-inverse-trig-functionsGraphing tangent, cosecant, secant, and cotangent functions practice test
precalculus-graphing-tangent-cosecant-secant-and-cotangent-functionsFind the equations of vertical asymptotes of tangent, cosecant, secant, and cotangent functions practice test
precalculus-find-the-equations-of-vertical-asymptotes-of-tangent-cosecant-secant-and-cotangent-functionsGraphing the sine and cosine functions practice test
precalculus-graphing-the-sine-and-cosine-functionsFind the amplitude of a sine or cosine function practice test
precalculus-find-the-amplitude-of-a-sine-or-cosine-functionFind the period of a sine or cosine function practice test
precalculus-find-the-period-of-a-sine-or-cosine-functionFind the phase shift of a sine or cosine function practice test
precalculus-find-the-phase-shift-of-a-sine-or-cosine-functionGraph the sine or cosine function practice test
precalculus-graph-the-sine-or-cosine-functionHarmonic motion practice test
precalculus-harmonic-motionSet up an equation that models harmonic motion practice test
precalculus-set-up-an-equation-that-models-harmonic-motionInverse sine and cosine functions practice test
precalculus-inverse-sine-and-cosine-functionsEvaluate expressions that include the inverse sine or cosine function practice test
precalculus-evaluate-expressions-that-include-the-inverse-sine-or-cosine-functionInverse trigonometric functions practice test
precalculus-inverse-trigonometric-functionsEvaluate expressions that include the inverse tangent, cosecant, secant, or cotangent function practice test
precalculus-evaluate-expressions-that-include-the-inverse-tangent-cosecant-secant-or-cotangent-functionInequalities and linear programming practice test
precalculus-inequalities-and-linear-programmingLinear inequalities practice test
precalculus-linear-inequalitiesSolve absolute value inequalities practice test
precalculus-solve-absolute-value-inequalitiesSolve and graph linear inequalities practice test
precalculus-solve-and-graph-linear-inequalitiesQuadratic inequalities practice test
precalculus-quadratic-inequalitiesSolve quadratic inequalities practice test
precalculus-solve-quadratic-inequalitiesSolving polynomial and rational inequalities practice test
precalculus-solving-polynomial-and-rational-inequalitiesSolve and graph polynomial inequalities practice test
precalculus-solve-and-graph-polynomial-inequalitiesSolve and graph rational inequalities practice test
precalculus-solve-and-graph-rational-inequalitiesSystems of equations practice test
precalculus-systems-of-equationsSolve nonlinear systems of equations practice test
precalculus-solve-nonlinear-systems-of-equationsSolve systems of linear equations practice test
precalculus-solve-systems-of-linear-equationsIntroductory calculus practice test
precalculus-introductory-calculusArea under a curve practice test
precalculus-area-under-a-curveApproximate area using rectangles practice test
precalculus-approximate-area-using-rectanglesFind the area using limits practice test
precalculus-find-the-area-using-limitsDerivatives practice test
precalculus-derivativesDetermine points of inflection practice test
precalculus-determine-points-of-inflectionFind the critical numbers of a function practice test
precalculus-find-the-critical-numbers-of-a-functionFind the first derivative of a function practice test
precalculus-find-the-first-derivative-of-a-functionFind the second derivative of a function practice test
precalculus-find-the-second-derivative-of-a-functionMaximum and minimum problems practice test
precalculus-maximum-and-minimum-problemsRate of change problems practice test
precalculus-rate-of-change-problemsLimits practice test
precalculus-limitsDetermine if a function is continuous using limits practice test
precalculus-determine-if-a-function-is-continuous-using-limitsFind the limit of a function practice test
precalculus-find-the-limit-of-a-functionTangents to a curve practice test
precalculus-tangents-to-a-curveFind the equation of a line tangent to a curve at a given point practice test
precalculus-find-the-equation-of-a-line-tangent-to-a-curve-at-a-given-pointFind the slope of a line tangent to a curve at a given point practice test
precalculus-find-the-slope-of-a-line-tangent-to-a-curve-at-a-given-pointMatrices and vectors practice test
precalculus-matrices-and-vectorsAlgebraic vectors and parametric equations practice test
precalculus-algebraic-vectors-and-parametric-equationsExpress a vector in component form practice test
precalculus-express-a-vector-in-component-formExpress a vector in polar form practice test
precalculus-express-a-vector-in-polar-formFind a direction vector when given two points practice test
precalculus-find-a-direction-vector-when-given-two-pointsFind a vector equation when given two points practice test
precalculus-find-a-vector-equation-when-given-two-pointsFind the unit vector in the same direction as a given vector practice test
precalculus-find-the-unit-vector-in-the-same-direction-as-a-given-vectorParametric equations practice test
precalculus-parametric-equationsAugmented matrices practice test
precalculus-augmented-matricesSolve a system of equations in three variables using augmented matrices practice test
precalculus-solve-a-system-of-equations-in-three-variables-using-augmented-matricesGeometric vectors practice test
precalculus-geometric-vectorsEvaluate geometric vectors practice test
precalculus-evaluate-geometric-vectorsInverses of matrices practice test
precalculus-inverses-of-matricesFind the multiplicative inverse of a matrix practice test
precalculus-find-the-multiplicative-inverse-of-a-matrixSolve a system of equations using the multiplicative inverse practice test
precalculus-solve-a-system-of-equations-using-the-multiplicative-inverseMultiplication of matrices practice test
precalculus-multiplication-of-matricesFind the product of a matrix and a scalar practice test
precalculus-find-the-product-of-a-matrix-and-a-scalarFind the product of two matrices practice test
precalculus-find-the-product-of-two-matricesParallel and perpendicular vectors in two dimensions practice test
precalculus-parallel-and-perpendicular-vectors-in-two-dimensionsDetermine if two vectors are parallel or perpendicular practice test
precalculus-determine-if-two-vectors-are-parallel-or-perpendicularSum or difference of two matrices practice test
precalculus-sum-or-difference-of-two-matricesFind the sum or difference of two matrices practice test
precalculus-find-the-sum-or-difference-of-two-matricesPolar coordinates and complex numbers practice test
precalculus-polar-coordinates-and-complex-numbersGraphs of polar equations practice test
precalculus-graphs-of-polar-equationsDetermine the polar equation of a graph practice test
precalculus-determine-the-polar-equation-of-a-graphPolar coordinates practice test
precalculus-polar-coordinatesConvert polar coordinates to rectangular coordinates practice test
precalculus-convert-polar-coordinates-to-rectangular-coordinatesConvert polar equations to rectangular form and vice versa practice test
precalculus-convert-polar-equations-to-rectangular-form-and-vice-versaConvert rectangular coordinates to polar coordinates and vice versa practice test
precalculus-convert-rectangular-coordinates-to-polar-coordinates-and-vice-versaPolar form of complex numbers practice test
precalculus-polar-form-of-complex-numbersExpress complex numbers in polar form practice test
precalculus-express-complex-numbers-in-polar-formExpress complex numbers in rectangular form practice test
precalculus-express-complex-numbers-in-rectangular-formPowers and roots of complex numbers practice test
precalculus-powers-and-roots-of-complex-numbersEvaluate powers of complex numbers using demoivre's theorem practice test
precalculus-evaluate-powers-of-complex-numbers-using-demoivre-s-theoremFind the roots of complex numbers practice test
precalculus-find-the-roots-of-complex-numbersProducts and quotients of complex numbers in polar form practice test
precalculus-products-and-quotients-of-complex-numbers-in-polar-formFind the product of complex numbers practice test
precalculus-find-the-product-of-complex-numbersFind the quotient of complex numbers practice test
precalculus-find-the-quotient-of-complex-numbersPolynomial functions practice test
precalculus-polynomial-functionsDescartes' rule, intermediate value theorem, sum and product of zeros practice test
precalculus-descartes-rule-intermediate-value-theorem-sum-and-product-of-zerosDetermine the number of positive and negative real zeros of a polynomial using descartes' rule of signs practice test
precalculus-determine-the-number-of-positive-and-negative-real-zeros-of-a-polynomial-using-descartes-rule-of-signsFind the sum and product of the zeros of a polynomial practice test
precalculus-find-the-sum-and-product-of-the-zeros-of-a-polynomialFundamental theorem of algebra practice test
precalculus-fundamental-theorem-of-algebraExpress a polynomial as a product of linear factors practice test
precalculus-express-a-polynomial-as-a-product-of-linear-factorsFind complex zeros of a polynomial using the fundamental theorem of algebra practice test
precalculus-find-complex-zeros-of-a-polynomial-using-the-fundamental-theorem-of-algebraGraphs of polynomial functions practice test
precalculus-graphs-of-polynomial-functionsGraph a polynomial function practice test
precalculus-graph-a-polynomial-function_aaWrite the equation of a polynomial function based on its graph practice test
precalculus-write-the-equation-of-a-polynomial-function-based-on-its-graph_aaIntegral and rational zeros of polynomial functions practice test
precalculus-integral-and-rational-zeros-of-polynomial-functionsFind the zeros of a function using the rational zeros theorem practice test
precalculus-find-the-zeros-of-a-function-using-the-rational-zeros-theoremRadical functions practice test
precalculus-radical-functionsSolve radical equations and inequalities practice test
precalculus-solve-radical-equations-and-inequalitiesRational functions practice test
precalculus-rational-functionsFind a point of discontinuity practice test
precalculus-find-a-point-of-discontinuityFind intercepts and asymptotes practice test
precalculus-find-intercepts-and-asymptotesRational equations and partial fractions practice test
precalculus-rational-equations-and-partial-fractionsSynthetic division and the remainder and factor theorems practice test
precalculus-synthetic-division-and-the-remainder-and-factor-theoremsDivide polynomials by binomials using synthetic division practice test
precalculus-divide-polynomials-by-binomials-using-synthetic-divisionEvaluate a polynomial using synthetic substitution practice test
precalculus-evaluate-a-polynomial-using-synthetic-substitution_aaSequences and series practice test
precalculus-sequences-and-seriesArithmetic and geometric series practice test
precalculus-arithmetic-and-geometric-seriesPartial sums of series practice test
precalculus-partial-sums-of-seriesSigma notation practice test
precalculus-sigma-notationSums of infinite series practice test
precalculus-sums-of-infinite-seriesTerms in a series practice test
precalculus-terms-in-a-seriesTrigonometric applications practice test
precalculus-trigonometric-applicationsArea of a triangle practice test
precalculus-area-of-a-triangleUse trigonometric functions to calculate the area of a triangle practice test
precalculus-use-trigonometric-functions-to-calculate-the-area-of-a-triangleLaw of cosines and sines practice test
precalculus-law-of-cosines-and-sinesUse the laws of cosines and sines practice test
precalculus-use-the-laws-of-cosines-and-sinesSolving right triangles practice test
precalculus-solving-right-trianglesSolve a right triangle practice test
precalculus-solve-a-right-triangleTrigonometric functions practice test
precalculus-trigonometric-functionsAngle measures in degrees and radians practice test
precalculus-angle-measures-in-degrees-and-radiansConvert between degrees and radians practice test
precalculus-convert-between-degrees-and-radiansFind the area of a sector using radians practice test
precalculus-find-the-area-of-a-sector-using-radiansFind the length of the arc of a circle using radians practice test
precalculus-find-the-length-of-the-arc-of-a-circle-using-radiansAngles in the coordinate plane practice test
precalculus-angles-in-the-coordinate-planeFind the degree measure of an angle practice test
precalculus-find-the-degree-measure-of-an-angleFind the measure of a coterminal angle practice test
precalculus-find-the-measure-of-a-coterminal-angleAngular and linear velocity practice test
precalculus-angular-and-linear-velocitySolve angular velocity problems practice test
precalculus-solve-angular-velocity-problemsSolve linear velocity problems practice test
precalculus-solve-linear-velocity-problemsCircular functions practice test
precalculus-circular-functionsFind the value of the sine or cosine functions of an angle given a point on its terminal side practice test
precalculus-find-the-value-of-the-sine-or-cosine-functions-of-an-angle-given-a-point-on-its-terminal-sideEvaluating trig functions practice test
precalculus-evaluating-trig-functionsFind the decimal value of a trigonometric function practice test
precalculus-find-the-decimal-value-of-a-trigonometric-functionFind the degree measure of an angle for which the value of a trigonometric function is known practice test
precalculus-find-the-degree-measure-of-an-angle-for-which-the-value-of-a-trigonometric-function-is-knownFundamental trigonometric identities practice test
precalculus-fundamental-trigonometric-identitiesSimplify expressions using trigonometric identities practice test
precalculus-simplify-expressions-using-trigonometric-identities_aaProving trig identities practice test
precalculus-proving-trig-identitiesProve trigonometric identities practice test
precalculus-prove-trigonometric-identitiesTrigonometric functions practice test
precalculus-trigonometric-functionsDetermine the domain of a trigonometric function practice test
precalculus-determine-the-domain-of-a-trigonometric-functionFind the value of any of the six trigonometric functions practice test
precalculus-find-the-value-of-any-of-the-six-trigonometric-functionsTrigonometric identities practice test
precalculus-trigonometric-identitiesSolving trigonometric equations and inequalities practice test
precalculus-solving-trigonometric-equations-and-inequalitiesSolve trigonometric equations and inequalities practice test
precalculus-solve-trigonometric-equations-and-inequalitiesSolve trigonometric equations and inequalities in quadratic form practice test
precalculus-solve-trigonometric-equations-and-inequalities-in-quadratic-formSum and difference identities practice test
precalculus-sum-and-difference-identitiesSolve trigonometric equations and inequalities practice test
precalculus-solve-trigonometric-equations-and-inequalities_aaSum and difference identities for cosine practice test
precalculus-sum-and-difference-identities-for-cosineSum and difference identities for sine practice test
precalculus-sum-and-difference-identities-for-sineSum and difference identities for tangent practice test
precalculus-sum-and-difference-identities-for-tangentAll Precalculus Resources
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