Purple Math
Purplemath: Conics: Hyperbolas
A three-part tutorial that discusses the basic terms, definitions, and formulas related to hyperbolas.
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Purplemath: Evaluation: Evaluating Expressions, Polynomials, and Functions
Demonstrates evaluation (or 'plug-n-chug'), and points out common usage and mistakes.
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Purplemath: Complex Numbers: Introduction
This website provides an in-depth lesson on complex numbers. You learn about simplifying, adding, and multiplying complex numbers by viewing example problems that are worked through step-by-step. Continue on to pages 2 and 3 which...
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Purplemath: Sequences and Series: Terminology and Notation
Explains the basic terminology and notation of sequences and series, including summation symbols, subscripts, and indices.
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Purplemath: Polynomials: Definition and Evaluation
A great lesson on polynomials is found at this Purplemath resource. Provides a clear definition of what a polynomial is, tells how to tell what the different degrees of a polynomial are, and how to simplify polynomials by combining like...
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Purplemath: Graphing Exponential Functions: Intro
An in-depth lesson which teaches you how to graph exponential equations. Examples are worked through step by step and explained in detail for different exponential equations.
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Purplemath: Adding & Subtracting Rational Expressions: Introduction
Finding common denominators is no problem with Purplemath. Use this lesson to learn how to add and subtract rational expressions with these great examples.
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Purplemath: Binomial Theorem: Formulas
The Binomial Theorem is a process of expanding a binomial that is being raised to a large power. All steps needed to perform the process on a graphing calculator are listed. The concepts of factorials and Pascal's Triangle -- both key to...
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Purplemath: Function Notation & Evaluating at Numbers
Presents a lesson on function notation. Includes interactive widget for evaluating functions.
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Purplemath: Converting Units
This resource provides a description and examples of how to convert between two units.
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Purplemath: Square Roots: Introduction & Simplification
Purplemath offers a well-described definition of radicals and square roots. The lesson is very easy to understand. Many examples.
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Purplemath: Solving Inequalities: An Overview
A discussion on how to solve linear and nonlinear inequalities is presented. Both the Test Method and the Factor Method of checking positive/negative intervals are included as part of the discussion.
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Purplemath: Basic Triangle Values
This Purplemath lesson explains a simple pictorial way to remember basic reference angle values.
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Purplemath: Distance Formula
A concise presentation of a lesson showing how the Distance Formula is really just the Pythagorean Theorem, and how it can be used to find the distance between two sets of coordinates.
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Purplemath: Functions Versus Relations
This lesson offers a thorough explanation of functions, domain and range, and how to find them. Includes multiple example problems and graphs. Great review tool for Algebra students.
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Purplemath: Composition of Functions: Composing Functions With Functions
Explanations and examples of composing functions with functions.
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Purplemath: Graphing Linear Equations: T Charts
A nice tutorial on how to graph linear equations. Goes through the process step by step and gives numerous examples.
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Purplemath: Slope of a Straight Line
This lesson on slope explains the slope concepts, demonstrates how to use the slope formula, shows how to find slope in horizontal and vertical lines, and how to use slope to find whether the lines through the pairs of points are...
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Purplemath: Slope: Parallel and Perpendicular Lines
Describes and gives good examples relating to the slopes of parallel and perpendicular lines.
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Purplemath: Completing the Square: Ellipses Equations
Demonstrates step-by-step how to complete the square for ellipses and hyperbolas. Includes several charts and graphs for understanding.
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Purplemath: Absolute Value Inequalities
Purplemath.com offers a discussion is presented on how to solve absolute value inequalities. This lesson contains worked problems of solving absolute value inequalities and finding absolute value expressions given the solution.
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Purplemath: Inverse Functions: Definition of "Inverse" / Drawing the Inverse
Explains the concept of inverse functions, covers some typical exercises, and demonstrates how to find the inverse of a given function.
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Purplemath: Completing the Square: Finding the Vertex
Demonstrates step-by-step how to complete the square to find the vertex of a parabola. Thorough descriptions of each problem.
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Purplemath: Graphing Radical Functions: Intro
A lesson on graphing radical equations gives numerous example problems which are worked through step by step.