Welcome to Visual Math

Interactive Education

  • Increase font size
  • Default font size
  • Decrease font size
Home RESOURCES ALGEBRA TOPICS

Algebra Topics

E-mail Print PDF
User Rating: / 0
PoorBest 

ALGEBRA TOPICS

The Numbers of Arithmetic

·  The Real Number System

·  Addition and Subtraction of Real Numbers

·  Multiplication and Division

·  Positive Integer Exponents

·  Order of Operations

·  Fractions

·  Percents

·  Decimals

·  Properties of Real Numbers

The Basic Operations

Exponents

 

Order of Operations

 

Prime Numbers

 

Fractions

 

Percentages and Decimals

 

Square Roots

 

Signed numbers: Positive and negative

Adding and subtracting signed numbers

Multiplying and dividing signed numbers

Reciprocals and zero

Variation

Introduction to Algebra

·  Algebraic Expressions

·  Simplifying Algebraic Expressions

·  Solutions of Algebraic Equations

·  Addition Principle

·  Multiplication Principle

·  Using the Principles Together

Variables

Laws of arithmetic

Like and Unlike Terms

Simplifying Expressions

Basic Factoring Techniques

Algebraic expressions

Some rules of algebra

Removing grouping symbols

Adding like terms

Inequalities

Absolute value

 

Word Problems

·  Problem Solving Strategies

·  Words for Operations

·  General Word Problems

Solving Word Problems

Word problems

Word problems that lead to equations with fractions

Word problems that lead to simultaneous equations

 

Graphing and Straight Lines

·  Rectangular Coordinates

·  Graphing Functions

·  Straight Lines

Coordinates and Graphing

What's a function?

The graph of a function

Moving graphs around

"Four-way" functions

Trig functions and graphs

Graphing Parabolas

Rectangular coordinates

The Pythagorean distance formula

The equation of a straight line

The slope of a straight line

 

Systems of Linear Equations

·  The Solutions of a System of Equations

·  Addition Method

·  Substitution Method

Solving Linear Equations

Linear equations

Simultaneous linear equations

Polynomials

·  Polynomials

·  Addition and Subtraction of Polynomials

·  Multiplication of Polynomials

·  Special Products of Binomials

·  Factoring Polynomials

·  Factoring a Quadratic Trinomial by Grouping

·  Summary of Steps to Factor Quadratic Trinomials

Factoring Polynomials

Multiplying out: The distributive rule

Common factor

Quadratic trinomials

Factoring trinomials

Perfect square trinomials

The difference of two squares

 

 

 Rational Expressions

·  Rational Expressions

·  Simplifying Rational Expressions

 

Algebraic fractions

Multiplying and dividing algebraic fractions

Adding algebraic fractions

Equations with fractions

 

Exponents and Roots

·  Exponents

·  Roots

·  Simplifying Radical Expressions

·  Rationalizing the Denominator

 

Exponents

Negative exponents

Radicals:  Rational and irrational numbers

Simplifying radicals

Multiplying and dividing radicals

Rational exponents

Complex, or imaginary, numbers

Quadratic Equations

·  Quadratic Equations 

·  Solving by Square Roots

·  Solving by Factoring

·  Completing the Square

·  The Quadratic Formula

Solving Quadratic Equations

 

 

Quadratic equations

 

Logarithms

Exponentials and logs

Logarithms

 

 

 

Last Updated on Wednesday, 13 May 2009 15:32  

Math Stories

Scientific American - Math
Science news and technology updates from Scientific American
Scientific American