Algebra Help

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.

Free Algebra Worksheets are available to provide practice on some of the following topics, for example solving of equations.

Algebra Topics

Introduction

Basic Algebra (includes video)

Basic Algebra Terms Constants, Variables, Coefficients, Terms, Expressions, Equations, Quadratic Equations (includes video)

Number Properties - Commutative property, Associative property, Distributive property

Algebraic Expressions (includes video)

Writing Algebraic Expressions

Adding and Subtracting Expressions (includes video)

Multiplying and Dividing Expressions (includes video)

Simplifying Expressions (includes video)

Multiplying Expressions or Expanding Expressions (includes video) 

FOIL Method used to distribute two binomials (includes video)   

Techniques to Solve Equations

Isolate the Variable (Transposition) (includes video)

Combine Like Terms (includes video)

Cross Multiply (includes video)

Solving Linear Equations (includes video)

Solving Equations by Addition or Subtraction (includes video)

Solving Equations by Division, Multiplication or taking the Reciprocal (includes video)

Solving Two-Step Equations (includes video)

Solving Equations By Combining Like Terms (includes video)

Solving Equations with the Variable on Both Sides (includes video)

Solving Algebra Equations by Distributive Property (includes video)

Solving Muti-Step Equations (includes video)

Solving Equations with Absolute Values (includes video)

Solving for a Variable in a Formula (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 (includes video)

Operations on Inequalities (includes video)

Solving Single-Step Inequalities by Addition or Subtraction (includes video)

Solving Single-Step Inequalities by Multiplication (includes video)

Solving Single-Step Inequalities by Division (includes video)

Solving Inequalities (includes video)

Graphing Linear Inequalities (includes video)

Compond Inequalities (includes video)

Solving Systems of Linear Inequalities / Simultaneous Linear Inequalities (includes video)

Absolute Value Inequalities (includes video)

Solving Quadratic Inequalities (includes video)

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)

Difference of Squares (includes video)

Square of Sum or Perfect Square Trinomials (includes video)

Completing the Square (includes video)

Quadratic Formula or Quadratic Equation (includes video)

Factoring Trinomials

Factoring Trinomials (includes video)

Factoring Trinomials by GCF (includes video)

Factoring Perfect Square Trinomials (includes video)

Factoring Trinomials by Grouping (includes video)

Factoring Trinomials by Trail and Error - Unfoiling (includes video)

Factoring Trinomials with Two Variables (includes video)

Polynomials

Adding and Subtracting Polynomials (includes video)

FOIL Method used to multiply two binomials (includes video)  

Multiplying Polynomials (includes video)

Dividing Polynomials by Monomials (includes video)

Dividing Polynomials by Long Division (includes video)

Synthetic Division (includes video)

Factoring by Grouping (includes video)

Remainder Theorem (includes video)

Factor Theorem (includes video)

Solving Cubic Equations (includes video)

Binomial Theoerm (includes video)

Rational Expressions

Simplifying Rational Expressions (includes video)

Adding Rational Expressions (includes video)

Subtracting Rational Expressions (includes video)

Multiplying Rational Expressions (includes video)

Dividing Rational Expressions (includes video)

Logarithms

Introduction to Logarithms (includes video)

Solving Logarithmic Functions (includes video)

Common and Natural Logarithms (includes video)

Logarithm Rules or Properties of Logarithms (includes video)

Proof for the Properties of Logarithms (includes video)

Solving Logarithmic Equations (includes video)

Graphs of Logarithmic Functions (includes video)

Functions

Relations and Functions (includes video)

Function Notation (includes video)

Domain and Range of a Function (includes video)

Arithmetic Operations on Functions (includes video)

Composite Functions (includes video)

Inverse of a Function (includes video)

Functions & Composite Functions (includes video)

Types Of Algebra Word Problems

Age Word Problems
Age Problems (includes video)
Age Problems involving a Single Person, (includes video)
Age Problems Involving More Than One Person (includes video)

Average Word Problems
Average Problems (includes video)
Arithmetic Mean, (includes video)
Weighted Average (includes video)
Average Speed (includes video)

Coin Word Problems
Problems involving Coins, (includes video)
Stamp problems
Ticket problems

Consecutive Integer Word Problems
Consecutive Integer Problems (includes video)
Consecutive Integer (includes video)
Consecutive Odd Integer (includes video)
Consecutive Even Integer (includes video)

Digit Word Problems
Simple Digit Problems, (includes video)
Convert Digits to Numbers, Interchanging Digits

Distance Word Problems
Distance Problems (includes video)
Travel at Different Rates
Travel in Different Directions (includes video)
Given Total Time (includes video)

Fraction Word Problems
Fraction Problems (includes video)

Geometry Word Problems
Geometry Word Problems (includes video)
Involving Perimeters (includes video)
Involving Areas (includes video)
Involving Angles (includes video)

Integer Word Problems
Involving 2 Unknowns, (includes video)
Involving More Than 2 Unknowns

Interest Word Problems
Interest Problems (includes video)

Lever Word Problems
Lever Problems
With 2 Objects, With More Than 2 Objects

Money Word Problems
Money Word Problems

Motion Word Problems
Motion Problems

Mixture Word Problems
Mixture Problems
Adding to a Solution,
Remove from a Solution,
Replace a Solution,
Mix Items of Different Values (includes video)

Number Sequence Word Problems
Number Sequence Problems
Value of a Particular Term, Pattern of a Sequence

Proportion Word Problems
Proportion Problems
Directly Proportional, Inversely Proportional

Ratio Word Problems
Ratio Problems
Two-Term Ratios, (includes video)
Three-Term Ratios

Symbol Word Problems
Symbol Problems

Variation Word Problems
Direct Variation Problems (includes video)
Inverse Variation Problems (includes video)
Joint Variation Problems

Work Word Problems
Work Problems
Two Persons, (includes video)
More Than Two Persons,
Pipes Filling up a Tank

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