Purple Math
Purplemath: Absolute Value
Purplemath.com offers a comprehensive lesson on absolute value that provides some examples.
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Purplemath: X and Y Intercepts
This lesson from Purplemath.com explains how to find x and y intercepts then shows exmples.
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Purplemath: Factor Theorem
Purplemath.com discusses the Factor Theorem, explaining its relationship to the Remainder Theorem. The lesson has a link to synthetic division, a key to discovering if a value is a root.
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Purplemath: Polynomial Division: Simplification and Reduction
Demonstrates, step-by-step and with worked examples, how to do long division of polynomials.
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Purplemath: Completing the Square: Circle Equations
This tutorial works through two examples step by step that shows how to complete the square for finding the center and radius of a circle.
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Purplemath: Fractional (Rational) Exponents
A good explanation of rational exponents and how to compute with them.
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Purplemath: Homework Guidelines for Mathematics
This Purplemath guide shows you exactly how to format your homework papers so they look neat and organized.
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Purplemath: Variable
With this Purplemath lesson, find the answer to this question with examples to show how variables are written and used.
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Purplemath: Complex Fractions
A brief lesson, including good examples, on complex fractions is provided by PurpleMath.
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Purplemath: Lcm & Gcf
Purplemath shows an easy and orderly way to determine the GCF and LCM of any two numbers. Even large numbers won't be a challenge with this method.
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Purplemath: Multiplying Simple Polynomials
This Purplemath tutorial shows three methods for multiplying polynomials: distribution, FOIL, and columns.
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Purplemath: Translating Word Problems: Key Words
Use this lesson to get a clear explanation of how to translate word problems into mathematical equations. Included is a table for common phrases and their mathematical symbols. Use the examples as guides for working on your own problems....
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Purplemath: Induction Proofs: Introduction
Purplemath gives a thorough explanation of proof by induction. The lesson explains, then works through several examples for the reader.
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Purplemath: Graphing Logarithmic Functions: Intro
This lesson details graphing logarithmic functions. The lesson explains the relationship between the graph of the logarithm and its inverse. The site gives examples of logarithmic graphs of base 2, 3, and e. Shifts in logarithmic graphs...
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Purplemath: Scalar and Matrix Multiplication
With several easy-to-understand examples worked out, this lesson demonstrates the steps needed to multiply a matrix by a scalar (a constant). True "Matrix multiplication," where two matrices are multiplied to eachother is also...
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Purplemath: Systems of Non Linear Equations: Definitions
This Purplemath lesson provides formulas, equations, graphs and explanations of systems of equations.
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Purplemath: Introduction to the X, Y Plane (The "Cartesian" Plane)
Purplemath offers an in-depth lesson on the Cartesian plane. The lesson discusses how to plot points and gives information about the four quadrants. Example problems are given on plotting points and determining the quadrant in which to...
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Purplemath: Function Notation: Even and Odd
A lesson on function notation contains a section on even and odd functions. An explanation is given on how to algebraically determine if a function is even or odd, along with example problems.
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Purplemath: Solving Exponential Equations: Solving From the Definition
This Purple Math site has many examples of exponential equations, without using logarithms.
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Purplemath: Logarithms: Introduction to "The Relationship"
Purplemath does a wonderful job of explaining logarithms. The lesson begins with a discussion of the relationship between logarithms and exponentials and very simple examples. The lesson gives important information regarding logarithms...
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Purplemath: Algebra Resources
Purplemath contains about 40 different lessons on various algebra topics. The lessons are divided into five different sections: preliminary topics, beginning algebra, intermediate algebra, advanced algebra, and word problems. The lessons...
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Purplemath: Vertical Asymptotes
This Purple Math lesson provides an explanation and examples on vertical asymptotes.
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Purplemath: Asymptotes
This Purple Math lesson provides practice problems for finding various types of aysmptotes. Each problem is worked out and explained.
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Purplemath: Basic Number Properties: Associative, Commutative, and Distributive
This Purplemath lesson includes many different number properties explained by using examples.