Purple Math
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: Slant (Oblique)l Asymptotes
The functions and graphs of functions with oblique asymptotes are explained with a step-by-step description of how to find oblique asymptotes and gives examples.
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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: Solving Absolute Value Equations
A discussion of how to solve absolute value problems. The lesson goes into detail about the graphs of absolute value problems and how the graph is related to the numeric solution. Includes problems along with interactive widgets.
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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.
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Purplemath: Straight Line Equations: Point Slope Form
Two very clear examples of point-slope form are given in this Purplemath lesson. One example begins with the slope and a point and the other example begins with two points. Includes interactive widget for practice determining a linear...
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Purplemath: Descartes' Rule of Signs
Purplemath provides examples that helps explain Descartes' rule of signs, which will help you find the zeros of a polynomial.
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Purplemath: Solving Rational Equations
Learners are introduced to rational equations. The lesson consists of detailed examples and explanations.
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Purplemath: Graphing Absolute Value Functions
Introduces the basic technique for graphing absolute-value functions, and illustrates a common mistake.
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Purplemath: Symmetry About an Axis
Explains symmetry about a line, using animations to illustrate the "rotation" or "reflection" involved in this type of symmetry.
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Purplemath: Systems of Linear Equations: Definitions
Covers the basic definitions involved in systems of linear equations.
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Purplemath: Matrix Multiplication/the Identity Matrix
Definitions, examples, and detailed explanation of matrix multiplication and the identity matrix.
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Purplemath: Basic "Percent Of" Word Problems
Demonstrates how to set up and solve 'percent of' word problems such as 'What percent of 16 is 5?'.