Algebra Help

This section contains explanations of key algebra topics with interactive examples and quizzes. The topics are arranged in a cumulative way starting with some basic ideas and building up to more complicated aspects of algebra.

Still need help after using our algebra resources? Use our service to find an algebra tutor.

Properties of Algebra

Main Lesson: Properties of Algebra

Fundamental arithemetic and operational rules of Algebra that will help solve problems involving variables.

The Order of Operations

Main Lesson: The Order of Operations

Method of solving expressions and equations with multiplie algebraic operators.

The Distributive Property

Main Lesson: The Distributive Property

Multiplication and addition of variables made easier using distributive property.

Factorization

Main Lesson: Factorization

Methods of breaking down larger polynomials into smaller polynomials.

Solving Equations

Main Lesson: Solving Equations

An introduction to solving equations in one variable.

Graphing Linear Equations

Main Lesson: Graphing Linear Equations

An introduction and in depth discussion on solving and graphing linear equations in two variables.

Inequalities

Main Lesson: Inequalities

Meaning of different inequality signs and ways of manipulating those signs.

Graphing Linear Inequalities

Main Lesson: Graphing Linear Inequalities

Graphing regions using linear inequalities.

Slope of a Line

Main Lesson: Slope

Explanation of the concept of slope and who to determine the slope of a line.

Functions

Main Lesson: Functions

Introduction of the concept of a function. Odd and even functions as well as inverse functions discussed.

FOIL Method

Main Lesson: The FOIL Method

Multiplicatiion of Binomial Polynomials using FOIL Method.

Polynomials

Main Lesson: Polynomials

Meaning of the term polynomial and different notations used.

Complex Numbers

Main Lesson: Complex Numbers

Concept of imaginary numbers as roots of negative numbers. Manipulation of complex numbers.

The Quadratic Equation

Main Lesson: The Quadratic Equation

Meaning of quadratic equations and different methods for finding roots of quadratic equations.

The Quadratic Formula

Main Lesson: The Quadratic Formula

A derivation of the quadratic formula and uses of the formula to find roots of a quadratic equation.

The Remainder Theorem

Main Lesson: The Remainder Theorem

Statement of the remainder theorem. Finding roots of polynomials using the remainder theorem and synthetic division of polynomials.

Exponents

Main Lesson: Exponents

Meaning of exponents, manipulation of exponents and methods of solving equations involving exponents.

Logarithms

Main Lesson: Logarithms

Meaning of logarithms. Methods for finding and solving logarithms. List of various logarithmic identities.

Square Roots and Radicals

Main Lesson: Square Roots and Radicals

Meaning of square root, methods of finding square roots and manipulation of the radical sign.

Rationalization

Main Lesson: Rationalization

Removing square roots and complex numbers from denominators of fractions by rationalization.

Rational Expressions

Main Lesson: Rational Expressions

Meaning of rational expressions and methods for finding the domain of rational expressions

Conic Sections

Main Lesson: Conic Sections

An insight into the four figures formed from conics and how they relate algebraically and graphically - circles, ellipses, parabolas, and hyperbolas