This lesson compares synthetic division with long division, and demonstrates how to use synthetic division.

Demonstrates, step-by-step and with worked examples, how to do long division of polynomials.

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.

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....

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...

This Purple Math site has many examples of exponential equations, without using logarithms.

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.

This Purple Math lesson provides an explanation and examples on vertical asymptotes.

This Purple Math lesson provides practice problems for finding various types of aysmptotes. Each problem is worked out and explained.

Learners are introduced to rational equations. The lesson consists of detailed examples and explanations.

Explains symmetry about a line, using animations to illustrate the "rotation" or "reflection" involved in this type of symmetry.

Covers the basic definitions involved in systems of linear equations.

Introduces the basic terms, variables, and equations for ellipses, and discusses their physical properties.

Demonstrates how to add and subtract matrices, explains why the addition or subtraction sometimes can't be done, and gives an example of how matrix addition is used in homework problems.

Shows how a simple reading from the Bible proves that the Judeo-Christian value of 'pi' is about 3.14 and not 3.

Explains the terminology for angles of elevation, depression, inclination, and declination. Demonstrates how to 'translate' exercises into triangles and equations.

Demonstrates, step-by-step and with examples, how to set up and solve 'mixture' word problems.

Demonstrates, step-by-step and with illustrations, how to set up and solve 'number' problems.

Explains the "trick" to "work" word problems (such as two people painting a room, or two pipes filling a tank), and demonstrates how to set up and solve these exercises.

Demonstrates in a systematic way how to set up and solve 'investment' word problems.

Launching a rocket up into the air, throwing a textbook down off a rooftop, or tossing a baseball out to someone in center field are all examples of projectile motion and quadratic word problems. Situations like these are explored here,...

Mean, median, and mode are three kinds of "averages". The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers. To...

Inverse matrices are very useful for solving matrix equations. But, given a matrix, how do you invert it? How do you find the inverse? The technique for inverting matrices is kind of clever. For a given matrix A and its inverse A-1, we...

This resource explains how to verify that two functions are inverses of each other.