Purplemath gives a thorough explanation of proof by induction. The lesson explains, then works through several examples for the reader.

This Purplemath lesson provides formulas, equations, graphs and explanations of systems of equations.

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...

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...

This Purplemath lesson includes many different number properties explained by using examples.

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...

Purplemath provides examples that helps explain Descartes' rule of signs, which will help you find the zeros of a polynomial.

A three-part tutorial that discusses the basic terms, definitions, and formulas related to hyperbolas.

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...

Demonstrates evaluation (or 'plug-n-chug'), and points out common usage and mistakes.

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...

Explains the basic terminology and notation of sequences and series, including summation symbols, subscripts, and indices.

Algebra teacher Elizabeth Staple offers answers to the question, "How do you really do this stuff?" Detailed and down-to-earth, Purplemath has dozens of graduated and cross-referenced lessons, links to other valuable resources, and...

This Purplemath lesson describes how to factor a trinomial. It also gives sample problems for the students to try interactively. The lesson expresses how to check the answer by multiplying through.

This lesson from Purplemath demonstrates how to use the Midpoint Formula and shows typical problems using the Midpoint Formula.

This Purplemath lesson describes how to solve a system of linear inequalities by graphing.

Purplemath offers an extensive explanation of direct and inverse variation, containing several examples and real-world applications.

This lesson from Purplemath.com reviews negative numbers and their operations. Number lines are used for demonstration.

At Purplemath.com, you can scroll down to the last lesson on the page to learn about radical exponents.

Visit Purplemath.com for a lesson on finding the prime factorization of numbers. Numerous examples are worked through step by step.

An algebra teacher's treasure from Purplemath.com. This collection contains links to over 20 links for algebra lesson plans and other resources.

Purplemath offers tables and graphs of various exponential functions for an exploration of how exponential functions behave from the real number domain. Compound interest problems are examined and the natural exponential is discussed...

Purplemath explains each of the elementary row operations and goes through explaining how each step is carried out and the common notation for each operation. The lesson ends with an example of how to solve an augmented matrix.

Purplemath explains the Remainder Theorem and gives examples using synthetic division to evaluate, determine if a value is a solution/zero. The lesson contains a link to synthetic division and other related terms.