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Study Pre-Calculus with these Free Learning Resources

Angle Functions: Angle Functions Quiz
Take this self-quiz to review angle functions terms and concepts like sine, cosine, and tangent.
Keywords: acos, acute angle, adjacent, ambiguous case, angle, angle functions, arccosine, arcsine, arctangent, asin, atan, circle, conversion, cos, cosecant, cosine, cot, cotangent, csc, degrees, hypotenuse, inverse cosine, inverse sine, inverse tangent, law of cosines, law of sines, measurement, opposite, pi, pre-calculus, quiz, radian, reciprocal, right angle, right triangle, sec, secant, side, sin, sine, tan, tangent, triangle
Angle Functions: Area of a Triangle Using Sine
How do you figure out the area of a triangle if you only know two sides and the angle between them? This formula solver will show you!
Keywords: angle, angle functions, formula solver, pre-calculus, right angle, right triangle, side, sine, triangle
Angle Functions: Cosecant Function in a Right Triangle
Use this Formula Solver! Series program to learn how to calculate the cosecant of an angle. It's great for checking your homework answers, too!
Keywords: acute angle, angle, angle functions, cosecant, csc, formula solver, hypotenuse, opposite, pre-calculus, reciprocal, right angle, right triangle, side, sine, triangle
Angle Functions: Cosine & ArcCosine in a Right Triangle
Explore how to use cosine and arccosine in a triangle using this Formula Solver! Series program. Use it to check your homework answers too!
Keywords: acos, acute angle, adjacent, angle, angle functions, arccosine, cos, cosine, formula solver, hypotenuse, inverse cosine, pre-calculus, right angle, right triangle, side, triangle
Angle Functions: Cosine Function in a Right Triangle
Review how the basic concept of the cosine function works, using this Formula Solver! Series program. Use it to check your homework answers too!
Keywords: acute angle, adjacent, angle, angle functions, cos, cosine, formula solver, hypotenuse, pre-calculus, right angle, right triangle, side, triangle
Angle Functions: Cotangent Function in a Right Triangle
Use this Formula Solver! Series program to learn how to calculate the cotangent of an angle. It's great for checking your homework answers, too!
Keywords: acute angle, adjacent, angle, angle functions, cot, cotangent, formula solver, opposite, pre-calculus, reciprocal, right angle, right triangle, side, tangent, triangle
Angle Functions: Law of Cosines
The Law of Cosines describes fundamental properties of triangles. Use this Formula Solver! Series program to learn how it works (and to check your homework answers, too!)
Keywords: acute angle, adjacent, angle, angle functions, arccosine, cos, cosine, formula solver, hypotenuse, inverse cosine, law of cosines, pre-calculus, right angle, right triangle, side, triangle
Angle Functions: Law of Sines
The Law of Sines describes fundamental properties of triangles. Use this Formula Solver! Series program to learn how it works (and to check your homework answers, too!)
Keywords: acute angle, angle, angle functions, arcsine, formula solver, hypotenuse, inverse sine, law of sines, opposite, pre-calculus, right angle, right triangle, side, sin, sine, triangle
Angle Functions: Law of Sines (Ambiguous Case)
Explore the ambiguous case of the Law of Sines using this Formula Solver! Series program. Use it to check your homework answers too!
Keywords: acute angle, ambiguous case, angle, angle functions, arcsine, formula solver, hypotenuse, inverse sine, law of sines, opposite, pre-calculus, right angle, right triangle, side, sin, sine, triangle
Angle Functions: My Angle Functions Flashcards
Use these flash cards to practice your grasp of sine, cosine, tangent, and dozens of other angle functions terms.
Keywords: acos, acute angle, adjacent, ambiguous case, angle, angle functions, arccosine, arcsine, arctangent, asin, atan, circle, conversion, cos, cosecant, cosine, cot, cotangent, csc, degrees, flash cards, hypotenuse, inverse cosine, inverse sine, inverse tangent, law of cosines, law of sines, measurement, opposite, pi, pre-calculus, radian, reciprocal, right angle, right triangle, sec, secant, side, sin, sine, tan, tangent, triangle
Angle Functions: Non-Right Triangles Study Sheet
Use this Smartacus Study Sheet to learn how to find sides and angles in non-right triangles (also known as oblique triangles). An important resource for your trigonometry class, it also prints for easy reference.
Keywords: adjacent, ambiguous case, angle functions, cos, cosine, hypotenuse, law of cosines, law of sines, oblique triangle, opposite, pre-calculus, right angle, sin, sine, study sheet
Angle Functions: Radians
Converting between degrees and radians is a key math concept. This Formula Solver! Series program will walk you through the steps. It's great for checking your homework answers, too!
Keywords: angle, angle functions, circle, conversion, degrees, formula solver, measurement, pi, pre-calculus, radian
Angle Functions: Secant Function in a Right Triangle
Use this Formula Solver! Series program to learn how to calculate the secant of an angle. It's great for checking your homework answers, too!
Keywords: acute angle, adjacent, angle, angle functions, cosine, formula solver, hypotenuse, pre-calculus, reciprocal, right angle, right triangle, sec, secant, side, triangle
Angle Functions: Sine & ArcSine in a Right Triangle
Explore how to use sine and arcsine in a triangle using this Formula Solver! Series program. Use it to check your homework answers too!
Keywords: acute angle, angle, angle functions, arcsine, asin, formula solver, hypotenuse, inverse sine, opposite, pre-calculus, right angle, right triangle, side, sin, sine, triangle
Angle Functions: Sine Function in a Right Triangle
Review how the basic concept of the sine function works, using this Formula Solver! Series program. Use it to check your homework answers too!
Keywords: acute angle, angle, angle functions, formula solver, hypotenuse, opposite, pre-calculus, right angle, right triangle, side, sin, sine, triangle
Angle Functions: Soh-Cah-Toa and Trigonometry Functions
This person, more than any other mathemetician, has helped countless students learn basic trigonometric functions. So who exactly is this Soh-Cah-Toa?
Keywords: acute angle, adjacent, angle, angle functions, cos, cosine, formula solver, hypotenuse, opposite, pre-calculus, right angle, right triangle, side, sin, sine, soh-cah-toa, sohcahtoa, tan, tangent, triangle
Angle Functions: Tangent & ArcTangent in a Right Triangle
Explore how to use tangent and arctangent in a triangle using this Formula Solver! Series program. Use it to check your homework answers too!
Keywords: acute angle, adjacent, angle, angle functions, arctangent, atan, formula solver, inverse tangent, opposite, pre-calculus, right angle, right triangle, side, tan, tangent, triangle
Angle Functions: Tangent Function in a Right Triangle
Review how the basic concept of the tangent function works, using this Formula Solver! Series program. Use it to check your homework answers too!
Keywords: acute angle, adjacent, angle, angle functions, formula solver, opposite, pre-calculus, right angle, right triangle, side, tan, tangent, triangle
Basic Pre-Algebra: About Exponents
Understanding the nature of exponents is a key math concept. Learn all about exponents in this interactive tutorial.
Keywords: base, basic pre-algebra, exponents, power, pre-algebra, pre-calculus
Basic Pre-Algebra: About Exponents
Understanding the nature of exponents is a key math concept. Learn all about exponents in this interactive tutorial.
Keywords: base, basic pre-algebra, exponents, power, pre-algebra, pre-calculus
Basic Pre-Algebra: About Real Numbers
So what exactly are real numbers, anyway? Explore this tutorial to learn about the number line, absolute value, and what kinds of numbers make up real numbers.
Keywords: absolute value, basic pre-algebra, integers, irrational numbers, natural numbers, number line, ordered set, pre-algebra, pre-calculus, rational numbers, real numbers, whole numbers
Basic Pre-Algebra: Properties of Exponents
Exponents share a handful of properties regarding bases and their powers. Learn about each property and put it to the test in this interactive tutorial.
Keywords: base, basic pre-algebra, exponents, power, pre-algebra, pre-calculus
Basic Pre-Algebra: Properties of Real Numbers
All real numbers share a handful of properties such as associative, distributive, commutative, and more. Learn about each property in this interactive tutorial.
Keywords: addition, additive inverse, associative, basic pre-algebra, closure, commutative, distributive, division, identity, irrational numbers, multiplication, multiplicative inverse, pre-algebra, pre-calculus, real numbers, subtraction
Basic Pre-Algebra: Radicals and Roots
What's the difference between a radical and a root? If you're talking math, this tutorial covers the basics. (If you're talking about the sixties, you're on your own...)
Keywords: basic pre-algebra, cube root, exponents, nth root, power, pre-algebra, pre-calculus, principal root, radical sign, radicals, radicand, roots, square root
Basic Pre-Algebra: Rational Exponents
Do you know what rational exponents are? This tutorial will show you what they are and how to evaluate them.
Keywords: base, basic pre-algebra, exponents, fraction, fractions, power, pre-algebra, pre-calculus, radicals, rational exponents, roots
Basic Pre-Algebra: Working With Radicals
Working with nth roots is a breeze if you understand the rules. This tutorial will show you how to handle radicals and radicands, and even explain the simplest radical form. Excellent!!!
Keywords: addition, basic pre-algebra, division, multiplication, pre-algebra, pre-calculus, radicals, roots, simplest radical form, subtraction
Complex Numbers: Adding and Subtracting Complex Numbers
What are complex numbers, and what's up with this imaginary number i? Use this Tab Tutor Series program to learn about complex numbers and see how to add and subtract them.
Keywords: adding complex numbers, addition, coefficient, complex numbers, i, imaginary number, imaginary number i, imaginary numbers, number i, pre-calculus, subtracting complex numbers, subtraction
Complex Numbers: Bottomless Worksheet of Adding Complex Numbers
With this Bottomless Worksheet you can get endless practice on adding complex numbers (numbers including the imaginary number i). At the click of a button, there are ten more problems for you to solve. A printed copy and answer sheet is also available.
Keywords: adding complex numbers, addition, bottomless worksheet, coefficient, complex numbers, i, imaginary number, imaginary number i, imaginary numbers, number i, pre-calculus
Complex Numbers: Bottomless Worksheet of Dividing Complex Numbers
Get endless practice right here in dividing complex numbers! At the click of a button, this Bottomless Worksheet generates ten more problems for you to solve. Plus, a printed copy or answer sheet is only a click away.
Keywords: bottomless worksheet, coefficient, complex conjugate, complex numbers, dividing complex numbers, division, i, imaginary number, imaginary number i, imaginary numbers, number i, pre-calculus
Complex Numbers: Bottomless Worksheet of Multiplying Complex Numbers
This Bottomless Worksheet is a great way to practice multiplying complex numbers by real numbers and each other. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
Keywords: bottomless worksheet, coefficient, complex conjugate, complex numbers, i, imaginary number, imaginary number i, imaginary numbers, multiplication, multiplying complex numbers, multiplying complex numbers and real numbers, number i, pre-calculus, real numbers
Complex Numbers: Bottomless Worksheet of Subtracting Complex Numbers
Get endless practice on subtracting complex numbers (numbers including the imaginary number i) with this Bottomless Worksheet. Ten more problems for you to solve, a printed copy, and an answer sheet are always a button-click away.
Keywords: bottomless worksheet, bottomless worksheet, coefficient, complex numbers, i, imaginary number, imaginary number i, imaginary numbers, number i, pre-calculus, subtracting complex numbers, subtraction
Complex Numbers: Dividing Complex Numbers
What are complex numbers, and how do you divide them? Use this Tab Tutor Series program to learn about complex numbers and see how the complex conjugate can help you divide them.
Keywords: coefficient, complex conjugate, complex numbers, dividing complex numbers, division, i, imaginary number, imaginary number i, imaginary numbers, number i, pre-calculus
Complex Numbers: Multiplying Complex Numbers
What are complex numbers, and what's up with this imaginary number i? Use this Tab Tutor Series program to learn about complex numbers and see how to multiply them.
Keywords: coefficient, complex conjugate, complex numbers, i, imaginary number, imaginary number i, imaginary numbers, multiplication, multiplying complex numbers, multiplying complex numbers and real numbers, number i, pre-calculus, real numbers
Complex Numbers: Study Sheet
Use this printable study sheet to review or learn the techniques for working with complex numbers and the imaginary number i, including addition, subtraction, multiplication, and division.
Keywords: adding complex numbers, addition, coefficient, complex conjugate, complex numbers, dividing complex numbers, division, FOIL, FOIL method, i, imaginary number, imaginary number i, imaginary numbers, multiplication, multiplying complex numbers, multiplying complex numbers and real numbers, number i, pre-calculus, pre-calculus, real numbers, subtracting complex numbers, subtraction
Complex Numbers: The Imaginary Number i
What is the imaginary number i, and how is it used? This tutorial will teach you all about it.
Keywords: complex numbers, exponents, i, imaginary number, imaginary number i, imaginary numbers, pre-calculus
Conic Sections: Equation of a Circle
This Tab Tutor program will show you how to find the equation of a circle from its center and radius, and vice versa. It's great for checking your homework answers too!
Keywords: alternate form, center, circle, conic, conic section, conic sections, pre-calculus, radius, standard form
Conic Sections: Equation of a Horizontal Ellipse
With this Tab Tutor program, you'll learn about the equation of a horizontal ellipse and how to use it to derive the foci, vertices, and minor axis. A useful glossary also introduces you to other features like the latus rectum and major axis.
Keywords: center, conic, conic section, conic sections, ellipse, focii, focus, latus rectum, major axis, minor axis, pre-calculus, standard form, vertex, vertices
Conic Sections: Equation of a Horizontal Hyperbola
Learn about the equation of a horizontal hyperbola with this Tab Tutor program. With step-by-step instruction and an illustrated glossary, it will show you how to find the foci, vertices, minor axis, and asymptotes from the equation and vice versa.
Keywords: asymptote, center, conic, conic section, conic sections, focii, focus, hyperbola, latus rectum, major axis, minor axis, pre-calculus, standard form, vertex, vertices
Conic Sections: Equation of a Parabola
This Tab Tutor program will help you learn about the equation of a parabola and how to use it to derive the focus, vertex, and orientation. A useful glossary also introduces you to other features like the latus rectum and the directrix.
Keywords: axis of symmetry, conic, conic section, conic sections, directrix, focii, focus, latus rectum, parabola, pre-calculus, standard form, vertex, vertices
Conic Sections: Equation of a Vertical Ellipse
With this Tab Tutor program, you'll learn about the equation of a vertical ellipse and how to use it to derive the foci, vertices, and minor axis. A useful glossary also introduces you to other features like the latus rectum and major axis.
Keywords: center, conic, conic section, conic sections, ellipse, focii, focus, latus rectum, major axis, minor axis, pre-calculus, standard form, vertex, vertices
Conic Sections: Equation of a Vertical Hyperbola
Learn about the equation of a vertical hyperbola with this Tab Tutor program. With step-by-step instruction and an illustrated glossary, it will show you how to find the foci, vertices, minor axis, and asymptotes from the equation and vice versa.
Keywords: asymptote, center, conic, conic section, conic sections, focii, focus, hyperbola, latus rectum, major axis, minor axis, pre-calculus, standard form, vertex, vertices
Conic Sections: Study Sheet
A conic section is a curve formed by the intersection of a cone with a plane. Use this printable study sheet to review or learn the terms and concepts of the circle, ellipse, parabola, and hyperbola.
Keywords: alternate form, asymptote, axis of symmetry, center, circle, conic, conic section, conic sections, directrix, ellipse, focii, focus, hyperbola, latus rectum, major axis, minor axis, parabola, pre-calculus, precalculus, radius, standard form, vertex, vertices
Counting and Probability: About Arithmetic Sequences
Learn about arithmetic sequences with this interactive tutorial. (Added bonus: click on the choice buttons to see more examples!)
Keywords: arithmetic sequence, counting, counting and probability, ordered set, pre-calculus, probability, sequence
Counting and Probability: About Geometric Sequences
Learn about geometric sequences with this interactive tutorial. (Added bonus: click on the choice buttons to see more examples!)
Keywords: counting, counting and probability, geometric sequence, ordered set, pre-calculus, probability, sequence
Counting and Probability: About Probability
Understanding the nature of probability is a key math concept. Learn all about it in this tutorial.
Keywords: complementary event, counting, counting and probability, mutually exclusive event, outcome, overlapping event, pre-calculus, probability, probable, probable outcome
Counting and Probability: Binomial Theorem
Learn how to use the Binomial Theorem to expand a binomial, or identify a specific term, with this helpful tutorial. We also include (as an added bonus) an interactive explanation of Pascal's Triangle.
Keywords: binomial, binomial expansion, binomial theorem, counting, counting and probability, pascal's triangle, pre-calculus, probability
Counting and Probability: Bottomless Worksheet of Combinations
Get endless practice in calculating combinations with this Bottomless Worksheet. At the click of a button, it creates ten more problems for you to solve, complete with printed copy and answer sheet.
Keywords: bottomless worksheet, combination, counting, counting and probability, factorial, pre-calculus, probability, probable, probable outcome
Counting and Probability: Bottomless Worksheet of Expected Value
This Bottomless Worksheet is a great way to practice calculating expected values and determining fair games. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
Keywords: bottomless worksheet, counting, counting and probability, expected value, fair game, possible outcome, pre-calculus, probability, probable outcome
Counting and Probability: Bottomless Worksheet of Permutations
Use this Bottomless Worksheet to get endless practice in calculating permutations. Ten new problems for you to solve, printed copies, and answer sheets are all just a click away.
Keywords: bottomless worksheet, counting, counting and probability, factorial, permutation, pre-calculus, probability, probable, probable outcome
Counting and Probability: Bottomless Worksheet of Simple Probabilities
With this Bottomless Worksheet you can get endless practice on calculating simple probabilities. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
Keywords: bottomless worksheet, combination, counting, counting and probability, desired outcome, outcome, permutation, pre-calculus, probability, probable, probable outcome
Counting and Probability: Calculating Simple Probabilities
This interactive tutorial will show you how to use the concepts of combinations and permutations to solve simple probability problems involving coin tosses and racing mice.
Keywords: combination, counting, counting and probability, desired outcome, outcome, permutation, pre-calculus, probability, probable, probable outcome
Counting and Probability: Combinations
Review how the basic concept of combinations works, using this Formula Solver! Series program. Use it to check your homework answers too!
Keywords: combination, counting, counting and probability, factorial, formula solver, pre-calculus, probability, probable, probable outcome
Counting and Probability: Common Probability Tables
Use this handy reference to look up some commonly used probability tables. We have two dice, three dice, and five-card poker for your enjoyment.
Keywords: counting, counting and probability, desired outcome, dice, dice probabilities, poker, poker probabilities, possible outcome, pre-calculus, probability, rolling dice
Counting and Probability: Conditional and Independent Probability
Probability is about more than just poker and dice. Learn about conditional probability and the idea of independent events in this tutorial.
Keywords: conditional probability, counting, counting and probability, independent probability, pre-calculus, probability
Counting and Probability: Expected Value
So what is expected value and how can we use it to figure out whether a raffle is a good deal? Let this tutorial show you the way.
Keywords: counting, counting and probability, expected value, fair game, possible outcome, pre-calculus, probability, probable outcome
Counting and Probability: Factorials
Learn what a factorial is, and how to calculate one, with this interactive program.
Keywords: counting, counting and probability, factorial, factorials, integer, n factorial,