Basic Algebra
Basic Algebra topics are the very beginning of learning Algebra. When you start on these topics, you're expected to have little more than Arithmetic knowledge (you know, those problems to do with "+", "-", "÷", and "×"). You'll also need to be familiar with Pre Algebra topics, but you don't need to worry about that now. You can easily refer back to the Pre Algebra topics later if you need to.
This section is designed specifically for those who are beginning Algebra, but will be useful for reference if you're learning Intermediate or Advanced algebra topics. You'll find a list of topics followed by a brief description.
How do you use these pages? If you're starting out, I recommend that you start with Algebraic Expressions, Algebraic Equations, Algebraic Factoring and Exponents. These will give you the foundation needed to understand the other basic algebra topics.
If you just want to find information to solve a problem, go to the topic that is most obviously relevant to your problem, and read. What if you can't solve a problem with the knowledge from one topic? Recognize that some problems might need a combination of different techniques from Pre Algebra and basic Algebra. Identify the techniques and you'll solve the problem easily.
Unit Conversion
Cancelling Basic Units
Cancelling Compound Units
Monomials
Addition and Subtraction of Monomials
Multiplying Monomials
Dividing Monomials
Polynomials
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Dividing polynomials by monomials
Dividing polynomials by polynomials
Algebraic Terms and Expressions
Unknowns and coefficients
Like and unlike terms
Multiplication and division of 2 or more algebraic terms
Algebraic Expressions
Simplify Algebra Expressions
Factorizing and Expanding Algebraic Expressions
A list of 4 algebra factoring methods
Method I: Common factor
Method II: Difference between two squares
Method III: By Inspection
Method IV: By Grouping & Rearrangement
Equations
2 techniques to solve algebraic equations
Equations
Axioms of Equality
Solving Equations
Literal Equations
Linear Equations: What are Linear Equations?
Solving Linear Equations
Simultaneous Linear Equations
What are Linear Inequalities?
Solving Linear Inequalities
Definition of algebraic fractions
Addition and Subtraction of algebraic fractions
Multiplication of algebraic fractions
Division of algebraic fractions
Algebraic fractions exercises
Answers to the exercise
Exponents: Exponentiation and Indices
Basic index notation
Expressing numbers in index notation
Multiplication of numbers in index notation
Division of numbers in index notation
Raising the Power of Numbers in Index Notation
Negative exponents
Fractional Indices
Examples of computing exponents
Simplifying Exponential Expressions
Roots and Radicals
Simplifying Square Roots
Operation with Square Roots
Square Roots and Cube Roots
Useful list of radicals to remember
Roots & Radicals: Exercise
Ratios and Proportion
Ratios in 2 quantities
Ratios in 3 quantities
Proportion
Return from Basic Algebra to Algebra-by-Example.com
Attention: If you're viewing this material to prepare for home schooling, or to get an idea of what it takes, head on over to homeschool-life-situations.com (opens new window or tab). You'll find some great pointers to help you get started.
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