Take the Varsity Learning Tools free diagnostic test for Precalculus to determine which academic
concepts you understand and which ones require your ongoing attention.
Each Precalculus problem is tagged down to the core, underlying concept that is being tested.
The Precalculus diagnostic test results highlight how you performed on each area of the test.
You can then utilize the results to create a personalized study plan that is based on your particular area of need.
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!
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will receive incredibly detailed scoring results at the end of your Precalculus practice test to
help you identify your strengths and weaknesses. Pick one of our Precalculus practice tests now
and begin!
Practice Tests by Concept
precalculus-conic-sections
Questions: 8
Test Difficulty:
Average Time Spent: 3 mins
precalculus-circles
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 50 secs
precalculus-determine-the-equation-of-a-circle-in-standard-form
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 18 secs
precalculus-graph-a-circle
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 5 secs
precalculus-ellipses
Questions: 5
Test Difficulty:
Average Time Spent: 2 mins 12 secs
precalculus-determine-the-equation-of-an-ellipse
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 44 secs
precalculus-find-the-center-and-foci-of-an-ellipse
Questions: 13
Test Difficulty:
Average Time Spent: 9 mins
precalculus-find-the-eccentricity-of-an-ellipse
Questions: 13
Test Difficulty:
Average Time Spent: 8 mins
precalculus-find-the-endpoints-of-the-major-and-minor-axes-of-an-ellipse
Questions: 2
Test Difficulty:
Average Time Spent: 4 mins
precalculus-hyperbolas
Questions: 3
Test Difficulty:
Average Time Spent: 6 mins
precalculus-determine-the-equation-of-a-hyperbola-in-standard-form
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 0 secs
precalculus-find-the-asymptotes-of-a-hyperbola
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
precalculus-find-the-center-vertices-and-the-endpoints-of-the-conjugate-axis-of-a-hyperbola
Questions: 13
Test Difficulty:
Average Time Spent: 13 mins
precalculus-find-the-eccentricity-of-a-hyperbola
Questions: 13
Test Difficulty:
Average Time Spent: 2 mins 52 secs
precalculus-find-the-foci-of-a-hyperbola
Questions: 12
Test Difficulty:
Average Time Spent: 15 mins
precalculus-graph-a-hyperbola
Questions: 4
Test Difficulty:
Average Time Spent: 4 mins
precalculus-parabolas
Questions: 3
Test Difficulty:
Average Time Spent: 5 mins
precalculus-determine-the-direction-in-which-a-parabola-opens
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 10 secs
precalculus-determine-the-equation-of-a-parabola-in-standard-form
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 29 secs
precalculus-find-the-focus-and-the-directrix-of-a-parabola
Questions: 13
Test Difficulty:
Average Time Spent: 9 mins
precalculus-find-the-vertex-and-the-axis-of-symmetry-of-a-parabola
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 52 secs
precalculus-graph-a-parabola
Questions: 2
Test Difficulty:
Average Time Spent: 38 secs
precalculus-polar-equations-of-conic-sections
Questions: 12
Test Difficulty:
Average Time Spent: 3 mins
precalculus-find-the-polar-equation-of-a-conic-section
Questions: 3
Test Difficulty:
Average Time Spent: 12 mins
precalculus-identify-the-conic-with-a-given-polar-equation
Questions: 12
Test Difficulty:
Average Time Spent: 3 mins
precalculus-quadratic-systems
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 32 secs
precalculus-solve-a-system-of-quadratic-equations
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 25 secs
precalculus-exponential-and-logarithmic-functions
Questions: 26
Test Difficulty:
Average Time Spent: 13 mins
precalculus-exponential-equations-and-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 54 secs
precalculus-compound-interest-problems
Questions: 3
Test Difficulty:
Average Time Spent: 4 mins
precalculus-use-logarithms-to-solve-exponential-equations-and-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 11 secs
precalculus-exponential-functions
Questions: 4
Test Difficulty:
Average Time Spent: 2 mins 15 secs
precalculus-graph-exponential-functions
Questions: 2
Test Difficulty:
Average Time Spent: 59 secs
precalculus-solve-exponential-equations
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 52 secs
precalculus-growth-and-decay
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 18 secs
precalculus-solve-exponential-decay-problems
Questions: 2
Test Difficulty:
Average Time Spent: 17 secs
precalculus-solve-exponential-growth-problems
Questions: 1
Test Difficulty:
precalculus-logarithmic-functions
Questions: 6
Test Difficulty:
Average Time Spent: 3 mins
precalculus-evaluate-logarithms
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 50 secs
precalculus-graph-logarithms
Questions: 2
Test Difficulty:
Average Time Spent: 57 secs
precalculus-properties-of-logarithms
Questions: 16
Test Difficulty:
Average Time Spent: 11 mins
precalculus-express-logarithms-in-condensed-form
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 35 secs
precalculus-express-logarithms-in-expanded-form
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
precalculus-solve-logarithmic-equations
Questions: 2
Test Difficulty:
Average Time Spent: 33 secs
precalculus-rational-exponents
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 22 secs
precalculus-evaluate-expressions-with-rational-exponents
Questions: 2
Test Difficulty:
Average Time Spent: 5 mins
precalculus-simplify-expressions-with-rational-exponents
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 24 secs
precalculus-functions
Questions: 16
Test Difficulty:
Average Time Spent: 5 mins
precalculus-algebra-of-functions
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 46 secs
precalculus-add-subtract-multiply-and-divide-functions
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 26 secs
precalculus-composition-of-functions
Questions: 3
Test Difficulty:
Average Time Spent: 3 mins
precalculus-cartesian-coordinate-system
Questions: 2
Test Difficulty:
Average Time Spent: 54 secs
precalculus-graph-equations
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 49 secs
precalculus-plot-points
Questions: 2
Test Difficulty:
precalculus-inverse-functions
Questions: 2
Test Difficulty:
Average Time Spent: 45 secs
precalculus-find-the-inverse-of-a-function
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 25 secs
precalculus-find-the-inverse-of-a-relation
Questions: 2
Test Difficulty:
Average Time Spent: 34 secs
precalculus-modeling
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 31 secs
precalculus-linear-modeling
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 18 secs
precalculus-real-numbers
Questions: 1
Test Difficulty:
precalculus-define-a-field
Questions: 1
Test Difficulty:
Average Time Spent: 9 secs
precalculus-relations-and-functions
Questions: 13
Test Difficulty:
Average Time Spent: 8 mins
precalculus-determine-if-a-relation-is-a-function
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 49 secs
precalculus-domain-and-range
Questions: 12
Test Difficulty:
Average Time Spent: 1 mins 14 secs
precalculus-evaluate-functions
Questions: 2
Test Difficulty:
Average Time Spent: 5 mins
precalculus-special-functions
Questions: 2
Test Difficulty:
Average Time Spent: 48 secs
precalculus-absolute-value-functions
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 50 secs
precalculus-greatest-integer-functions
Questions: 1
Test Difficulty:
Average Time Spent: 24 secs
precalculus-piecewise-functions
Questions: 2
Test Difficulty:
Average Time Spent: 54 secs
precalculus-graphing-functions
Questions: 8
Test Difficulty:
Average Time Spent: 5 mins
precalculus-distance
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 20 secs
precalculus-find-the-distance-between-a-point-and-a-line
Questions: 2
Test Difficulty:
Average Time Spent: 11 secs
precalculus-find-the-distance-between-two-parallel-lines
Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 12 secs
precalculus-graphing-quadratic-functions
Questions: 3
Test Difficulty:
Average Time Spent: 38 secs
precalculus-express-a-quadratic-function-in-vertex-form
Questions: 3
Test Difficulty:
Average Time Spent: 4 mins
precalculus-graph-a-quadratic-function-using-intercepts-vertex-and-axis-of-symmetry
Questions: 3
Test Difficulty:
Average Time Spent: 3 mins
precalculus-graphs
Questions: 32
Test Difficulty:
Average Time Spent: 24 mins
precalculus-linear-functions
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 5 secs
precalculus-determine-the-equation-of-a-linear-function
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 17 secs
precalculus-graph-a-linear-function
Questions: 3
Test Difficulty:
Average Time Spent: 34 secs
precalculus-solving-polynomial-equations
Questions: 4
Test Difficulty:
Average Time Spent: 7 mins
precalculus-solve-a-polynomial-by-factoring
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 20 secs
precalculus-solving-quadratic-equations
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 7 secs
precalculus-solve-a-quadratic-equation
Questions: 2
Test Difficulty:
precalculus-write-a-quadratic-equation-when-given-its-solutions
Questions: 2
Test Difficulty:
precalculus-symmetry
Questions: 2
Test Difficulty:
Average Time Spent: 34 secs
precalculus-determine-the-symmetry-of-an-equation
Questions: 2
Test Difficulty:
Average Time Spent: 38 secs
precalculus-transformations
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 57 secs
precalculus-reflections
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 34 secs
precalculus-translations
Questions: 4
Test Difficulty:
Average Time Spent: 55 secs
precalculus-graphs-and-inverses-of-trigonometric-functions
Questions: 32
Test Difficulty:
Average Time Spent: 14 mins
precalculus-graphing-tangent-cosecant-secant-and-cotangent-functions
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 32 secs
precalculus-find-the-equations-of-vertical-asymptotes-of-tangent-cosecant-secant-and-cotangent-functions
Questions: 1
Test Difficulty:
precalculus-graphing-the-sine-and-cosine-functions
Questions: 32
Test Difficulty:
Average Time Spent: 7 mins
precalculus-find-the-amplitude-of-a-sine-or-cosine-function
Questions: 2
Test Difficulty:
Average Time Spent: 11 secs
precalculus-find-the-period-of-a-sine-or-cosine-function
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 19 secs
precalculus-find-the-phase-shift-of-a-sine-or-cosine-function
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 29 secs
precalculus-graph-the-sine-or-cosine-function
Questions: 1
Test Difficulty:
precalculus-harmonic-motion
Questions: 1
Test Difficulty:
precalculus-set-up-an-equation-that-models-harmonic-motion
Questions: 1
Test Difficulty:
Average Time Spent: 26 secs
precalculus-inverse-sine-and-cosine-functions
Questions: 2
Test Difficulty:
precalculus-evaluate-expressions-that-include-the-inverse-sine-or-cosine-function
Questions: 2
Test Difficulty:
Average Time Spent: 47 secs
precalculus-inverse-trigonometric-functions
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 45 secs
precalculus-evaluate-expressions-that-include-the-inverse-tangent-cosecant-secant-or-cotangent-function
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 23 secs
precalculus-inequalities-and-linear-programming
Questions: 6
Test Difficulty:
Average Time Spent: 5 mins
precalculus-linear-inequalities
Questions: 5
Test Difficulty:
Average Time Spent: 8 mins
precalculus-solve-absolute-value-inequalities
Questions: 5
Test Difficulty:
Average Time Spent: 55 mins
precalculus-solve-and-graph-linear-inequalities
Questions: 1
Test Difficulty:
precalculus-quadratic-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 10 secs
precalculus-solve-quadratic-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 49 secs
precalculus-solving-polynomial-and-rational-inequalities
Questions: 2
Test Difficulty:
precalculus-solve-and-graph-polynomial-inequalities
Questions: 1
Test Difficulty:
precalculus-solve-and-graph-rational-inequalities
Questions: 3
Test Difficulty:
Average Time Spent: 6 mins
precalculus-systems-of-equations
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 22 secs
precalculus-solve-nonlinear-systems-of-equations
Questions: 2
Test Difficulty:
Average Time Spent: 42 secs
precalculus-solve-systems-of-linear-equations
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 8 secs
precalculus-introductory-calculus
Questions: 12
Test Difficulty:
Average Time Spent: 4 mins
precalculus-area-under-a-curve
Questions: 2
Test Difficulty:
Average Time Spent: 5 mins
precalculus-approximate-area-using-rectangles
Questions: 2
Test Difficulty:
Average Time Spent: 54 secs
precalculus-find-the-area-using-limits
Questions: 1
Test Difficulty:
Average Time Spent: 8 secs
precalculus-derivatives
Questions: 3
Test Difficulty:
Average Time Spent: 5 mins
precalculus-determine-points-of-inflection
Questions: 4
Test Difficulty:
Average Time Spent: 2 mins 49 secs
precalculus-find-the-critical-numbers-of-a-function
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 7 secs
precalculus-find-the-first-derivative-of-a-function
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 5 secs
precalculus-find-the-second-derivative-of-a-function
Questions: 4
Test Difficulty:
precalculus-maximum-and-minimum-problems
Questions: 3
Test Difficulty:
Average Time Spent: 32 secs
precalculus-rate-of-change-problems
Questions: 12
Test Difficulty:
Average Time Spent: 4 mins
precalculus-limits
Questions: 12
Test Difficulty:
Average Time Spent: 4 mins
precalculus-determine-if-a-function-is-continuous-using-limits
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 34 secs
precalculus-find-the-limit-of-a-function
Questions: 9
Test Difficulty:
Average Time Spent: 1 mins 50 secs
precalculus-tangents-to-a-curve
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 22 secs
precalculus-find-the-equation-of-a-line-tangent-to-a-curve-at-a-given-point
Questions: 2
Test Difficulty:
Average Time Spent: 6 mins
precalculus-find-the-slope-of-a-line-tangent-to-a-curve-at-a-given-point
Questions: 2
Test Difficulty:
precalculus-matrices-and-vectors
Questions: 12
Test Difficulty:
Average Time Spent: 10 mins
precalculus-addition-of-matrices
Questions: 5
Test Difficulty:
Average Time Spent: 1 mins 34 secs
precalculus-find-the-difference-of-two-matrices
Questions: 3
Test Difficulty:
Average Time Spent: 3 mins
precalculus-find-the-sum-of-two-matrices
Questions: 2
Test Difficulty:
Average Time Spent: 38 secs
precalculus-algebraic-vectors-and-parametric-equations
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 39 secs
precalculus-express-a-vector-in-component-form
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
precalculus-express-a-vector-in-polar-form
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 50 secs
precalculus-find-a-direction-vector-when-given-two-points
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 19 secs
precalculus-find-a-vector-equation-when-given-two-points
Questions: 2
Test Difficulty:
Average Time Spent: 4 mins
precalculus-find-the-unit-vector-in-the-same-direction-as-a-given-vector
Questions: 2
Test Difficulty:
Average Time Spent: 5 mins
precalculus-augmented-matrices
Questions: 2
Test Difficulty:
Average Time Spent: 26 mins
precalculus-solve-a-system-of-equations-in-three-variables-using-augmented-matrices
Questions: 2
Test Difficulty:
Average Time Spent: 24 secs
precalculus-geometric-vectors
Questions: 13
Test Difficulty:
Average Time Spent: 6 mins
precalculus-find-the-norm-of-a-vector
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 8 secs
precalculus-find-the-product-of-a-vector-and-a-scalar
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 59 secs
precalculus-find-the-sum-and-difference-of-vectors
Questions: 13
Test Difficulty:
Average Time Spent: 7 mins
precalculus-inverses-of-matrices
Questions: 2
Test Difficulty:
Average Time Spent: 44 secs
precalculus-find-the-multiplicative-inverse-of-a-matrix
Questions: 2
Test Difficulty:
Average Time Spent: 53 secs
precalculus-solve-a-system-of-equations-using-the-multiplicative-inverse
Questions: 1
Test Difficulty:
precalculus-multiplication-of-matrices
Questions: 7
Test Difficulty:
Average Time Spent: 2 mins 50 secs
precalculus-find-the-product-of-a-matrix-and-a-scalar
Questions: 3
Test Difficulty:
precalculus-find-the-product-of-two-matrices
Questions: 4
Test Difficulty:
precalculus-parallel-and-perpendicular-vectors-in-two-dimensions
Questions: 4
Test Difficulty:
Average Time Spent: 38 secs
precalculus-determine-if-two-vectors-are-parallel-or-perpendicular
Questions: 13
Test Difficulty:
Average Time Spent: 7 mins
precalculus-find-the-dot-product-of-two-vectors
Questions: 3
Test Difficulty:
Average Time Spent: 50 secs
precalculus-find-the-measure-of-an-angle-between-two-vectors
Questions: 3
Test Difficulty:
precalculus-polar-coordinates-and-complex-numbers
Questions: 2
Test Difficulty:
Average Time Spent: 32 secs
precalculus-graphs-of-polar-equations
Questions: 3
Test Difficulty:
precalculus-determine-the-polar-equation-of-a-graph
Questions: 3
Test Difficulty:
precalculus-polar-coordinates
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 37 secs
precalculus-convert-polar-coordinates-to-rectangular-coordinates
Questions: 9
Test Difficulty:
Average Time Spent: 2 mins 40 secs
precalculus-convert-polar-equations-to-rectangular-form
Questions: 12
Test Difficulty:
Average Time Spent: 2 mins 9 secs
precalculus-convert-rectangular-coordinates-to-polar-coordinates
Questions: 2
Test Difficulty:
Average Time Spent: 49 secs
precalculus-convert-rectangular-equations-to-polar-form
Questions: 2
Test Difficulty:
precalculus-polar-form-of-complex-numbers
Questions: 2
Test Difficulty:
Average Time Spent: 27 mins
precalculus-express-complex-numbers-in-polar-form
Questions: 2
Test Difficulty:
precalculus-express-complex-numbers-in-rectangular-form
Questions: 2
Test Difficulty:
precalculus-powers-and-roots-of-complex-numbers
Questions: 5
Test Difficulty:
Average Time Spent: 3 mins
precalculus-evaluate-powers-of-complex-numbers-using-demoivre-s-theorem
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 18 secs
precalculus-find-the-roots-of-complex-numbers
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
precalculus-products-and-quotients-of-complex-numbers-in-polar-form
Questions: 7
Test Difficulty:
Average Time Spent: 54 secs
precalculus-find-the-product-of-complex-numbers
Questions: 5
Test Difficulty:
Average Time Spent: 26 secs
precalculus-find-the-quotient-of-complex-numbers
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
precalculus-polynomial-functions
Questions: 13
Test Difficulty:
Average Time Spent: 6 mins
precalculus-descartes-rule-intermediate-value-theorem-sum-and-product-of-zeros
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 5 secs
precalculus-determine-the-number-of-positive-and-negative-real-zeros-of-a-polynomial-using-descartes-rule-of-signs
Questions: 1
Test Difficulty:
Average Time Spent: 9 mins
precalculus-find-the-sum-and-product-of-the-zeros-of-a-polynomial
Questions: 3
Test Difficulty:
precalculus-fundamental-theorem-of-algebra
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
precalculus-express-a-polynomial-as-a-product-of-linear-factors
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 4 secs
precalculus-find-complex-zeros-of-a-polynomial-using-the-fundamental-theorem-of-algebra
Questions: 4
Test Difficulty:
Average Time Spent: 4 mins
precalculus-graphs-of-polynomial-functions
Questions: 2
Test Difficulty:
Average Time Spent: 36 secs
precalculus-graph-a-polynomial-function_aa
Questions: 1
Test Difficulty:
precalculus-write-the-equation-of-a-polynomial-function-based-on-its-graph_aa
Questions: 7
Test Difficulty:
precalculus-integral-and-rational-zeros-of-polynomial-functions
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 1 secs
precalculus-find-the-zeros-of-a-function-using-the-rational-zeros-theorem
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
precalculus-radical-functions
Questions: 2
Test Difficulty:
Average Time Spent: 34 secs
precalculus-graph-radical-functions
Questions: 2
Test Difficulty:
precalculus-solve-radical-equations
Questions: 2
Test Difficulty:
Average Time Spent: 24 secs
precalculus-rational-functions
Questions: 5
Test Difficulty:
Average Time Spent: 3 mins
precalculus-find-a-point-of-discontinuity
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 8 secs
precalculus-find-intercepts-and-asymptotes
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 1 secs
precalculus-synthetic-division-and-the-remainder-and-factor-theorems
Questions: 5
Test Difficulty:
Average Time Spent: 4 mins
precalculus-divide-polynomials-by-binomials-using-synthetic-division
Questions: 5
Test Difficulty:
Average Time Spent: 8 mins
precalculus-evaluate-a-polynomial-using-synthetic-substitution_aa
Questions: 3
Test Difficulty:
precalculus-sequences-and-series
Questions: 6
Test Difficulty:
Average Time Spent: 5 mins
precalculus-arithmetic-and-geometric-series
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 19 secs
precalculus-partial-sums-of-series
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 24 secs
precalculus-sigma-notation
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 14 secs
precalculus-sums-of-infinite-series
Questions: 3
Test Difficulty:
Average Time Spent: 53 secs
precalculus-terms-in-a-series
Questions: 1
Test Difficulty:
Average Time Spent: 21 secs
precalculus-trigonometric-applications
Questions: 7
Test Difficulty:
Average Time Spent: 2 mins 27 secs
precalculus-area-of-a-triangle
Questions: 9
Test Difficulty:
precalculus-find-the-area-of-a-segment-of-a-circle
Questions: 5
Test Difficulty:
Average Time Spent: 1 mins 44 secs
precalculus-find-the-area-of-a-triangle-using-heron-s-formula-sss
Questions: 9
Test Difficulty:
Average Time Spent: 5 mins
precalculus-find-the-area-of-a-triangle-when-given-one-side-and-two-angles-or-when-given-two-sides-and-an-included-angle
Questions: 5
Test Difficulty:
precalculus-law-of-cosines
Questions: 3
Test Difficulty:
precalculus-solve-a-triangle-in-which-2-sides-and-an-included-angle-are-given-sas
Questions: 2
Test Difficulty:
precalculus-solve-a-triangle-in-which-3-sides-are-given-sss
Questions: 2
Test Difficulty:
precalculus-law-of-sines
Questions: 4
Test Difficulty:
Average Time Spent: 4 mins
precalculus-solve-a-triangle-using-the-law-of-sines-asa-saa-aas
Questions: 4
Test Difficulty:
Average Time Spent: 2 mins 45 secs
precalculus-the-ambiguous-case-ssa-ass
Questions: 13
Test Difficulty:
precalculus-solving-right-triangles
Questions: 2
Test Difficulty:
Average Time Spent: 50 secs
precalculus-solve-a-right-triangle
Questions: 2
Test Difficulty:
Average Time Spent: 43 secs
precalculus-solve-an-isosceles-triangle-by-dividing-into-2-right-triangles
Questions: 2
Test Difficulty:
precalculus-trigonometric-functions
Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 19 secs
precalculus-angle-measures-in-degrees-and-radians
Questions: 5
Test Difficulty:
Average Time Spent: 1 mins 36 secs
precalculus-convert-between-degrees-and-radians
Questions: 5
Test Difficulty:
Average Time Spent: 53 secs
precalculus-find-the-area-of-a-sector-using-radians
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 3 secs
precalculus-find-the-length-of-the-arc-of-a-circle-using-radians
Questions: 2
Test Difficulty:
precalculus-angles-in-the-coordinate-plane
Questions: 2
Test Difficulty:
precalculus-find-the-degree-measure-of-an-angle
Questions: 2
Test Difficulty:
Average Time Spent: 14 secs
precalculus-find-the-measure-of-a-coterminal-angle
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 19 secs
precalculus-angular-and-linear-velocity
Questions: 2
Test Difficulty:
precalculus-solve-angular-velocity-problems
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 17 secs
precalculus-solve-linear-velocity-problems
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 23 secs
precalculus-circular-functions
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 12 secs
precalculus-find-the-value-of-the-sine-or-cosine-functions-of-an-angle
Questions: 2
Test Difficulty:
precalculus-find-the-value-of-the-sine-or-cosine-functions-of-an-angle-given-a-point-on-its-terminal-side
Questions: 3
Test Difficulty:
Average Time Spent: 4 mins
precalculus-evaluating-trig-functions
Questions: 3
Test Difficulty:
Average Time Spent: 3 mins
precalculus-find-the-decimal-value-of-a-trigonometric-function
Questions: 3
Test Difficulty:
precalculus-find-the-degree-measure-of-an-angle-for-which-the-value-of-a-trigonometric-function-is-known
Questions: 3
Test Difficulty:
Average Time Spent: 49 secs
precalculus-functions-of-special-and-quadrantal-angles
Questions: 2
Test Difficulty:
Average Time Spent: 17 secs
precalculus-find-the-value-of-any-of-the-six-trigonometric-functions-of-quadrantal-angles
Questions: 4
Test Difficulty:
Average Time Spent: 2 mins 25 secs
precalculus-find-the-value-of-any-of-the-six-trigonometric-functions-of-special-angles
Questions: 2
Test Difficulty:
precalculus-fundamental-trigonometric-identities
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 19 secs
precalculus-use-odd-even-identities
Questions: 2
Test Difficulty:
precalculus-use-pythagorean-identities
Questions: 1
Test Difficulty:
precalculus-use-reciprocal-and-ratio-identities
Questions: 5
Test Difficulty:
Average Time Spent: 6 mins
precalculus-proving-trig-identities
Questions: 2
Test Difficulty:
precalculus-prove-trigonometric-identities
Questions: 3
Test Difficulty:
precalculus-simplify-expressions-using-trigonometric-identities
Questions: 2
Test Difficulty:
precalculus-trigonometric-functions
Questions: 2
Test Difficulty:
Average Time Spent: 32 secs
precalculus-determine-the-domain-of-a-trigonometric-function
Questions: 4
Test Difficulty:
precalculus-find-the-value-of-any-of-the-six-trigonometric-functions
Questions: 3
Test Difficulty:
precalculus-trigonometric-identities
Questions: 3
Test Difficulty:
Average Time Spent: 41 mins
precalculus-double-and-half-angle-identities
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 11 secs
precalculus-double-angle-identities
Questions: 3
Test Difficulty:
Average Time Spent: 53 secs
precalculus-half-angle-identities
Questions: 2
Test Difficulty:
Average Time Spent: 29 secs
precalculus-product-sum-identities
Questions: 2
Test Difficulty:
precalculus-use-product-sum-identities-to-express-a-product-as-a-sum-or-difference
Questions: 2
Test Difficulty:
precalculus-use-product-sum-identities-to-express-a-sum-or-difference-as-a-product
Questions: 8
Test Difficulty:
Average Time Spent: 1 mins 24 secs
precalculus-solving-trigonometric-equations-and-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
precalculus-solve-trigonometric-equations-and-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 5 mins
precalculus-solve-trigonometric-equations-and-inequalities-in-quadratic-form
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 37 secs
precalculus-sum-and-difference-identities
Questions: 2
Test Difficulty:
precalculus-sum-and-difference-identities-for-cosine
Questions: 2
Test Difficulty:
precalculus-sum-and-difference-identities-for-sine
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 24 secs
precalculus-sum-and-difference-identities-for-tangent
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 52 secs
All Precalculus Resources