Algebra Help
Need some algebra help? Or just wanting to review some key concepts in algebra? Here's some lessons to get you started on this important branch of math. With these lessons, algebra will no longer be a mystery reserved for the select few.
An overview of algebra word problems (includes video) covers the common types of word problems in high school and college prep math and the various techniques for solving them.
Algebra Topics
Introduction
Basic Algebra
Basic Algebra Terms Constants, Variables, Coefficients, Terms, Expressions, Equations, Quadratic Equations
Number Properties
-
Commutative property,
Associative property, Distributive property
Algebraic Expressions (includes video)
Writing Algebraic Expressions
Simplifying Expressions
(includes video)
Simplifying Rational Expressions (includes video)
Multiplying Expressions or Expanding Expressions (includes video)
Techniques to Solve Equations
Isolate the Variable (Transposition) (includes video)
Solving Linear Equations (includes video)
Systems of Linear Equations, or Simultaneous Equations
Substitution
(includes video)
Addition Method (Opposite-Coefficients Method) (includes video)
Graphing method (includes video)
Inequalities
Inequalities and the Number Line
Solving Linear Inequalities (includes video)
Graphing Linear Inequalities (includes video)
Solving Systems of Linear Inequalities / Simultaneous Linear Inequalities
Quadratic Equations
Factoring Quadratic Equations
Finding Common Factors, (includes video)
Square of Sum,
Square of Difference, Difference of Two Squares,
Coefficient of x2 is 1, (includes video)
Coefficient of x2 is greater than 1 (includes video)
Completing the Square
(includes video)
Quadratic Formula or Quadratic Equation (includes video)
Trinomials
Factoring Trinomials
(includes video)
Logarithms
Logarithms (includes video)
Logarithm Rules (includes video)
Types Of Algebra Word Problems
Age Problems
Involving a Single Person,
(includes video)
Involving More Than One Person
(includes video)
Average Problems
Arithmetic Mean, (includes video)
Weighted Average,
Average Speed
Coin Type Problems
Problems involving Coins, (includes video)
Stamp problems,
Ticket problems
Consecutive Integer Problems
Consecutive Integer, (includes video)
Consecutive Odd Integer,
Consecutive Even Integer
Digit Problems
Simple Digit Problems, (includes video)
Convert Digits to Numbers,
Interchanging Digits
Distance Problems
Travel at Different Rates,
Travel in Different Directions,
Given Total Time (includes video)
Direct Variation Problems (includes video)
Fraction Problems
Geometry Word Problems
Involving Perimeters, (includes video)
Involving Areas,
Involving Angles
Integer Word Problems
Involving 2 Unknowns, (includes video)
Involving More Than 2 Unknowns
Interest Problems (includes video)
Lever Problems
With 2 Objects,
With More Than 2 Objects
Money Word Problems
Motion Problems
Mixture Problems
Adding to a Solution,
Remove from a Solution,
Replace a Solution,
Mix Items of Different Values
(includes video)
Number Sequence Problems
Value of a Particular Term,
Pattern of a Sequence
Proportion Problems
Directly Proportional,
Inversely Proportional
Ratio Problems
Two-Term Ratios, (includes video)
Three-Term Ratios
Symbol Problems
Variation Problems
Direct Variation Problems
Inverse Variation Problems
Joint Variation Problems
Work Problems
Two Persons, (includes video)
More Than Two Persons,
Pipes Filling up a Tank
Functions
Functions & Composite Functions (includes video)
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Useful Links:
More Algebra Help at MathWorld
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