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Study Pre-Calculus with these Free Learning Resources

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!
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!
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!
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!
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!
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!)
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!)
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!
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.
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!
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!
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!
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!
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?
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!
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!
Basic Pre-Algebra: About Exponents
Understanding the nature of exponents is a key math concept. Learn all about exponents in this interactive tutorial.
Basic Pre-Algebra: About Exponents
Understanding the nature of exponents is a key math concept. Learn all about exponents in this interactive tutorial.
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.
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.
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.
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...)
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.
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!!!
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.
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.
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.
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.
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.
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.
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.
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.
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!
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.
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.
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.
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.
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.
Conic Sections: Study Sheet of Conic Sections
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.
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!)
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!)
Counting and Probability: About Probability
Understanding the nature of probability is a key math concept. Learn all about it in this tutorial.
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.
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.
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.
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.
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.
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.
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!
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.
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.
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.
Counting and Probability: Factorials
Learn what a factorial is, and how to calculate one, with this interactive program.
Counting and Probability: Permutations
Review how the basic concept of permutations works, using this Formula Solver! Series program. Use it to check your homework answers too!
Equations and Inequalities: Algebra Quiz of Equality and Inequality
Can't tell the difference between reflexive and transitive? This fun quiz will help you learn each property of equalities and inequalities. Trichotomy, reciprocal, or substitution, you'll master all the properties in no time!
Equations and Inequalities: Bottomless Worksheet of Completing the Square
This Bottomless Worksheet is a way to practice the process of completing the square. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
Equations and Inequalities: Bottomless Worksheet of Quadratic Equations
Get endless practice right here in solving quadratic equations! 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.
Equations and Inequalities: Bottomless Worksheet of Simple Linear Equations
This Bottomless Worksheet is a way to get endless practice on solving simple linear equations. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
Equations and Inequalities: Bottomless Worksheet of Simple Linear Inequalities
Get endless practice right here in solving simple linear inequalities! At the click of a button, this Bottomless Worksheet creates ten more problems for you to solve. You can also get a printed copy or answer sheet if you want.
Equations and Inequalities: Completing the Square
Building on the concept of the Perfect Square Trinomial, the technique of Completing the Square can be used to solve a quadratic equation. This Formula Solver! Series program will walk you through the steps.
Equations and Inequalities: My Equality and Inequality Flashcards
These flashcards are a great way to learn the properties of equalities and inequalities. Including transitive, reflexive, trichotomy, and more, each property is matched with an example so you can't go wrong. It even has a concentration game for variety!
Equations and Inequalities: Properties of Inequalities
Inequality is a basic math concept. This tutorial will explain how it works in plain english (or as plain as you can get when discussing 'trichotomy property').
Equations and Inequalities: Solving Quadratic Equations
Solving a quadratic equation is a key math concept. This Formula Solver! Series program will walk you through the steps to finding a solution, explaining terms along the way (such as 'discriminant').
Equations and Inequalities: Solving Simple Linear Equations
Solving simple linear equations 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!
Equations and Inequalities: Solving Simple Linear Inequalities
Solving simple linear inequalities is a straightforward process. This Tab Tutor program will walk you through the steps.
Functions: About Functions
What is a function, exactly? You are cordially invited to attend this tutorial, which will explain all about functions. (Leave your evening gown or tuxedo at home.)
Functions: About Variation
Direct variation, indirect variation, and the constant of variation all describe the relationship between the x and y values in a function. Learn how to derive these values in this tutorial.
Functions: Bottomless Worksheet of Inverse Functions
Get endless practice right here in finding inverse functions! 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.
Functions: Combining Two Functions
This tutorial will show you how to combine two functions using addition, subtraction, multiplication, and division. You'll also learn how to perform compositions (and we don't mean writing essays either).
Functions: Function Flashcards
We have the graphs for a variety of linear, quadratic, and non-linear functions presented as a set of flashcards. Learn how to identify cubic functions, reciprocal functions, the identity function, and more with this helpful program.
Functions: Inverse Functions
You're learning about different kinds of functions, but what is an inverse function? (Hint: it isn't 'noitcnuf'...) Find out what it is, and learn the steps to figure out the inverse function in this Formula Solver Series program.
Functions: Linear Functions
Can you identify a linear function? Learn about the different types of linear functions (and what their graphs look like) in this tutorial.
Functions: Non-Linear Functions
Can you identify the greatest integer function, or the absolute value function? This tutorial shows the graphs for these and other non-linear functions.
Functions: Quadratic Functions
This tutorial will teach you about the different types of parabolas you can get when graphing quadratic functions.
Graphs and Lines: Bottomless Worksheet of Length of a Line Segment
With this Bottomless Worksheet you can get endless practice on determining the length of a line segment. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
Graphs and Lines: Bottomless Worksheet of Midpoint of a Line Segment
Use this Bottomless Worksheet to get endless practice on calculating the midpoint of a line segment. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
Graphs and Lines: Bottomless Worksheet of Point and Slope
This Bottomless Worksheet offers endless practice for using the slope and one point on a line to find the Point-Slope, Slope-Intercept, and Standard Forms. Ten new problems for you to solve, with printed copies and answer sheets, are always a click away.
Graphs and Lines: Bottomless Worksheet of Slope of a Line
This Bottomless Worksheet can give you endless practice for determining the slope of a line. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
Graphs and Lines: Bottomless Worksheet of Slope-Intercept Formula
This Bottomless Worksheet can give you endless practice on finding the slope and y-intercept from the Slope-Intercept Form. At the click of a button, it creates ten more problems for you to solve. A printed copy and answer sheet is also available.
Graphs and Lines: Equation of a Straight Line
In a cartesian plane, a line is defined as a series of x,y coordinates. The equation of a line, or linear equation, is a formula that describes this series. Learn about the three forms of linear equations in this tutorial.
Graphs and Lines: Equation of a Straight Line Using Point and Slope
How do you find the equation of a straight line from the slope and a single point? Use this Formula Solver Series program to determine the Slope-Intercept, Point-Slope, and Standard forms.
Graphs and Lines: Equation of a Straight Line Using Slope-Intercept
Do you need to determine the slope and Y-intercept of a straight line, but all you have is the Standard Form of the equation (Ax + By = C)? Use this Formula Solver Series program to learn how to find the slope-intercept form.
Graphs and Lines: Graphing
Graphs are a fundamental concept in many areas, from math to economics. This interactive tutorial will guide you through the basic concepts, including calculating the slope of a line.
Graphs and Lines: Graphing a Linear Inequality
Graphing a linear inequality (Ax + By < C) is not as hard as it sounds. This tutorial will walk you through the steps, and familiarize you with the finer points of the x-intercept, y-intercept, and boundary line.
Graphs and Lines: Graphing a Straight Line
This tutorial will show you how to take the slope-intercept form of a linear equation and use it to graph a straight line. You won't have to fear x-intercepts and y-intercepts any longer!
Graphs and Lines: Length of a Line Segment
Use this Formula Solver! Series program to learn how to determine the length of a line segment. It's great for checking your homework answers, too!
Graphs and Lines: Midpoint of a Line Segment
Calculating the midpoint of a line segment is a breeze with our popular Formula Solver! Series. It's great for checking your homework answers, too!
Graphs and Lines: Slope of a Line
Do you know what the 'rise over the run' means? Use this Formula Solver! Series program to learn how to determine the slope of a line, and discover what conditions can result in having a negative slope, a positive slope, or no slope at all.
Logarithms: Properties of Logarithms
Use this interactive tutorial to learn about what a logarithm is and how it works. It includes the identity property, the inverse property, and a neat trick for doing logs on your calculator!
Logarithms: Table of Common Logarithms
If you don't have a calculator handy, this table can help you find common logs. We've also included a tutorial to show you how to use the table!
Logarithms: Table of Natural Logarithms
This table displays natural logarithms for numbers between 0.10 and 10.09. There is also a tutorial to show you how the table works, and how to use it to find natural logs for numbers less than one or greater than 10.
Logarithms: Using Logarithms
What's the difference between common logs and natural logs? How about antilogs, or the irrational number e? Learn all about them in this tutorial, and find out why all kids love logs.
Matrix Algebra: Determinant of a 2x2 Matrix
Use this Formula Solver Series tutorial to learn how to calculate the determinant of a 2x2 matrix. Practice the steps and check your homework answers, all in the same place.
Matrix Algebra: Determinant of a 3x3 Matrix
Learn how to calculate the determinant of a 3x3 matrix with this Formula Solver Series tutorial. It even explains the process for any square matrix of 4x4 or larger.
Matrix Algebra: Matrix Addition
Review how the basic concept of matrix addition works, using this Formula Solver! Series program. Use it to check your homework answers too!
Matrix Algebra: Matrix Multiplication
Learning how to multiply two matrices is a breeze with this Formula Solver! Series program. Use it to check your homework answers too!
Matrix Algebra: Matrix Subtraction
Review the basic concept of subtract two matrices, using this Formula Solver! Series program. Use it to check your homework answers too!
Polynomials: About Polynomials
Understanding the nature of polynomials is a key algebra concept. Learn all about them in this tutorial.
Polynomials: Adding Polynomials
Polynomials can come in many forms, but adding polynomials is a straight-forward process. This Tab Tutor program will show you how it's done.
Polynomials: Bottomless Worksheet of Adding Polynomials
This Bottomless Worksheet offers endless practice on adding polynomials. Ten new problems for you to solve, with printed copies and answer sheets, are always a click away.
Polynomials: Bottomless Worksheet of Subtracting Polynomials
Use this Bottomless Worksheet to get endless practice in subtracting polynomials. Ten new problems for you to solve, printed copies, and answer sheets are all just a click away.
Polynomials: Bottomless Worksheet of the FOIL Method
This Bottomless Worksheet offers endless practice for using the FOIL method to multiply binomials. Ten new problems for you to solve, with printed copies and answer sheets, are always a click away.
Polynomials: Factoring Trinomials
Learning about factoring trinomials from a textbook can be difficult. This tutorial shows you the basics of factoring, and then gives you as many practice examples as you need to master the techniques.
Polynomials: FOIL Method of Multiplying Binomials
Multiplying binomials using the FOIL method 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!
Polynomials: Multiplying Polynomials
Polynomials can come in many forms, but multiplying polynomials is a straight-forward process. This Tab Tutor program will show you how it's done.
Polynomials: Special Polynomial Products
Some polynomial products can be solved by using recognizable patterns. Learn about these cool shortcuts in this tutorial.
Polynomials: Subtracting Polynomials
Polynomials can come in many forms, but subtracting polynomials is a straight-forward process. This Tab Tutor program will show you how it's done.
Systems of Equations: Bottomless Worksheet of Cramer's Rule (3x3)
This Bottomless Worksheet offers endless practice in solving systems of linear equations in three variables using Cramer's Rule. At the click of a button, it creates ten more problems for you to solve, complete with printed copy and answer sheet.
Systems of Equations: Bottomless Worksheet of Elimination Method
Get endless practice in solving systems of linear equations in two variables via the elimination method 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.
Systems of Equations: Bottomless Worksheet of Graphing Method
Use this Bottomless Worksheet to get endless practice in solving systems of linear equations in two variables with the graphing method. Ten new problems for you to solve, printed copies, and answer sheets are just a click away.
Systems of Equations: Bottomless Worksheet of Substitution Method (Linear)
This Bottomless Worksheet offers endless practice in solving systems of linear equations in two variables with the substitution method. At the click of a button, it creates ten more problems for you to solve, complete with printed copy and answer sheet.
Systems of Equations: Cramer's Rule (3x3)
For systems of three linear equations in three variables, this Formula Solver program walk you through the steps for finding the solution using Cramer's Rule (also known as the Third Order Determinant Method). You can even work with your own values!
Systems of Equations: Systems of Linear Equations: Elimination Method
For systems of two linear equations in two variables, this Formula Solver program walks you through the steps for finding the solution using the elimination method. You can even work with your own values!
Systems of Equations: Systems of Linear Equations: Graphing Method
This Formula Solver program walks you through the steps for solving a system of two linear equations in two variables, using the graphing method. You can use your own values, and it will draw graphs and plot the solution.
Systems of Equations: Systems of Linear Equations: Substitution Method
Solving a system of two linear equations in two variables just got a little easier. This Formula Solver program will walk you through the steps for finding the solution using the substitution method, and you can even work with your own values!
Systems of Equations: Systems of Linear Inequalities: Graphing Method
For systems of two linear inequalities in two variables, this Formula Solver program walk you through the steps for finding the solution using the graphing method. You can even work with your own values!