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Help algebra.com: The Real Number System
Natural numbers, whole numbers, integers and rational numbers begin this lesson on the real number system. You can also learn more about the number line and absolute value. Examples and diagrams are included to enhance understanding.
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Help algebra.com: How to Find Compositions of Functions
Learn how to notate and evaluate composite functions with this article. The examples are detailed and provide steps for finding the composition of two functions.
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Help algebra.com: Simplifying Exponential Expressions
The laws of exponents are put to action in several examples. The examples demonstrate how to simplify expressions that contain both coefficients and variables.
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Help algebra.com: Factoring Polynomials
Several types of factoring are covered in this article, including common factors, grouping, special factors, and completing the square. The examples include detailed explanations of the factoring process.
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Help algebra.com: Getting Rid of Parentheses
Resource explains how to simplify several types of expressions that contain expressions using the properties of addition and multiplication and applying the properties with the order of operations.
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Help algebra.com: Examples of Polynomial Equations
To solve polynomials of higher degree, use synthetic division as demonstrated here. The Rational Zero Theorem, Upper and Lower Bound Theorem, and Descartes Rule of Signs are explained.
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Help algebra.com: Polynomial and Rational Inequalities
Learn to solve inequalities and how to graph their solutions on a number line. The examples contain quadratics and rational expressions.
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Help algebra.com: Properties of Logarithms
Three properties of logarithms are presented here (product, quotient, and power properties). Examples are provided to demonstrate how to use the properties to expand and simplify logarithmic expressions.
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Help algebra.com: Quadratic Equations
This article gives a definition of quadratic equations, then demonstrates how to solve them. Factoring, completing the square and the quadratic formula are the methods described. The examples are accompanied by lists of steps for solving...
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Help algebra.com: How to Rationalize the Denominator
What do you do if the denominator contains a radical? This article explains how to rationalize a denominator that contains square roots, higher roots and the sums and differences of square roots. The examples also include problems that...
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Help algebra.com: Solving Logarithms and Exponentials
Examples are provided to demonstrate techniques for solving equations that contain logarithms and exponentials. Explanations of the solutions are also include to help further understanding of the concept.
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Help algebra.com: Synthetic Division
Synthetic division is thoroughly explained using long division as a starting point. The examples are very detailed and provide the steps necessary for completing the process of synthetic division.
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Help algebra.com: Translating Expressions
This resource discusses translating verbal expressions to variable expressions. It explains how to look for key words, then gives an example of the process in great detail.
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Help algebra.com: Highlights in Algebra History
The progression of algebra history is covered in areas including Egyptian algebra, Babylonian algebra, Arabic algebra, to name a few.
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Help algebra.com: Addition Method to Solve Systems
Also known as the Elimination Method, the Addition Method is used in solving several systems of equations. This step-by-step demonstration is a helpful resource to use when learning about solving systems.
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Help algebra.com: Addition Principle
Beginning with a discussion of equivalent equation, this site describes the Addition Principle and how it is used to help solve algebraic equations.
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Help algebra.com: Addition and Subtraction of Polynomials
By collecting like terms, the process of adding and subtracting polynomials is demonstrated. Two methods are shown.
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Help algebra.com: Addition & Subtraction of Real Numbers
Using a number line, the technique for adding and subtracting real numbers is demonstrated. Notation and calculator use is also touched on at the end of the lesson.
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Help algebra.com: Completing the Square
The process of completing the square is presented with a detailed description of the process and an example to show the work step by step. An example with a non-integer leading coefficient is also included.
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Help algebra.com: Decimals
Keeping in mind that decimals are really fractions, this site shows you how to convert decimals and work with them in solving equations.
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Help algebra.com: Exponents
Along with the definition of an exponent, this site also presents the properties of exponents. Several examples are used to demonstrate the properties. A summary of the laws of exponents is included for quick reference.
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Help algebra.com: Factoring Polynomials
A detailed description of how to factor several types of polynomials is presented. Examples are provided to demonstrate the process.
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Help algebra.com: Factor by Grouping
Factor a quadratic by group the terms. This resource demonstrates the procedure, then gives and explanation on why this process works.
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Help algebra.com: Fractions
This resource offers an overview of fractions from several aspects, including simplifying, reduced, mixed numbers and improper form, and basic operations. Examples and diagrams are included to help demonstrate each topic.