Purple Math
Purplemath: Composition of Functions: Composing With Sets of Points
An in-depth lesson that explains the notation and terminology of function composition, and demonstrates how to use composition. Successive pages look at composing functions at points, composing functions with functions, word problems...
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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...
Purple Math
Purplemath: Sequences and Series: Terminology and Notation
Explains the basic terminology and notation of sequences and series, including summation symbols, subscripts, and indices.
Purple Math
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...
Purple Math
Purplemath: Function Notation & Evaluating at Numbers
Presents a lesson on function notation. Includes interactive widget for evaluating functions.
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Purplemath: Simplifying Expressions With Exponents
A detailed look at how to simplify expressions with exponents and how to apply the rules for exponents. Lots of examples included. The third page provides an interactive widget to use for simplifying expressions with exponents.
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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: The Order of Operations: Pemdas
Gives a detailed explanation of how the order of operations works. Explains how to use the PEMDAS acronym (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) to remember the correct order. Includes lots of example...
Purple Math
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: Completing the Square: Solving Quadratic Equations
Purplemath gives several examples which clearly show the process of completing the square to find the maximum and minimum solutions to a quadratic equation.
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Purplemath: Converting Between Decimals, Fractions, and Percents
Scroll down to just below the middle of the lesson for an in-depth lesson on converting fractions to percents. Works through numerous examples step by step and shows what happens when the "decimal expansion" doesn't end when converting.
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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: Set Notation
This resource explains concepts related to set notation and gives examples for each.
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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: The Meaning of Slope and Y Intercept in Context of Word Problems
This resource contains a lesson on the slope and y-intercept of a line and how to interpret them in word problems.
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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: Solving Literal Equations
Provides a lesson on solving literal equations, explains how they are similar to solving linear equations, and works through numerous examples showing how different types of literal equations are solved.