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Basic Algebra or Algebra I




 
Need help in Basic Algebra or Algebra I?

We have a series of free Basic Algebra or Algebra I Video Lessons.
The pre-algebra review is from the Portland Community College.

Related Topics:
Videos, worksheets, and activities to help Algebra students, Common Core Math Algebra

1. Pre-Algebra Review


1.1 Introduction
Whole NumbersPlace Value and Word Names
Expanded Form
Rounding and Inequalities
Addition and Subtraction of Whole Numbers
Whole NumbersMultiplication and Division
Exponents and Powers of Ten
Order of Operations: Problems with Two or More Operations
1.2 Factors and Fractions
FactorsAverage
Multiples
Divisors and Factors
Divisibility Tests
Factors & FractionsPrimes and Composites
Prime Factorization
Least Common Multiple
Fractions and Mixed Numbers: What is a Fraction?
FractionsImproper Fractions to Mixed Numbers and vice versa
Reducing Fractions
Multiplication of Fractions
FractionsDivision of Fractions
Multiplication and Division of Mixed Numbers
Listing Fractions in Order of Value
FractionsAddition of Like and Unlike Fractions
Addition and Subtraction of Mixed Numbers
FractionsSubtraction of Fractions
Order of Operations and Average
1.3 Decimals
Decimal Numbers: Place Value and Word Names
Expanded Form
Decimals to Fractions
Listing Decimals in Order of Value
DecimalsApproximation of Decimals
Addition and Subtraction of Decimals
Multiplication of Decimals
DecimalsMultiplication and Division by Powers of Ten
Division of Decimals
Fractions to Decimals and vice versa
Order of Operations and Average
 
1.4 Ratio, Proportions and Percents
Ratio and Proportion Solving Proportions
Word Problems (Proportions)
PercentsWhat is Percent?
Changing Decimals to Percents and vice versa
Fractions to Percents and vice versa
PercentsFractions, Decimals, and Percents Review
Solving Percent Problems
Word Problems (Percents)
Business Related Problems
 
1.5 Measurements

MeasurementsEnglish Measurements
Metric Measurements
Conversion of Units

1.6 Geometry

GeometryPerimeter and Circumference
Area of Common Geometric Figures
Volume of Common Geometric Solids

1.7 Signed Numbers
Signed Numbers Addition and Subtraction of Signed Numbers Multiplication and Division of Signed Numbers ReviewOrder of Operations

Basic Algebra

2. Solving Equations

2.1 Introduction to Solving Equations
Defining Variables Additive and Multiplicative Inverses Simplifying Expressions and the Distributive Property
Simplifying Expressions and Combining Like Terms  
2.2 Techniques for Solving Equations
Solving One Step Equations Whole Numbers Solving One Step Equations Integers
Solving One Step EquationsFractions Solving One Step Equations Decimals
Solving Two Step Equations Integers Solving Two Step Equations Fractions
Solving Two Step Equations Decimals Solving Multi-Step Equations with Parentheses and Variable Terms on both sides
Solving Multi-Step Equations with Fractions Solving Multi-Step Equations with Decimals
2.3 Ratios, Formulas and Word Problems
Ratios Proportions
Solving Literal Equations Percent Change



3. Linear Equations and their Graphs

3.1 The Slope of a Line

The Slope of a LineDefinition of Slope
Finding the Slope of a Line from a Graph
Finding the Slope of a Line from 2 Points
Finding the Slope of a Line from an Equation

3.2 Linear Equations

Linear EquationsWriting Equations in Slope-Intercept Form
Graphing Lines using a Table of Values
Applications of Linear Equations
Standard Form of a Linear Equation

3.3 Graphing Linear Equations

Graphing Linear EquationsIntercepts of Linear Equations
Graphing Lines Using Intercepts
How to Graph a Line using slope-intercept form, y=mx+b
Point-Slope Form of Linear Equations

3.4 Graphing Lines

Graphing LinesFinding the Equation of a Graphed Line
Parallel and Perpendicular Lines

3.5 Variation

VariationDirect Variation
Inverse Variation

4. Solving and Graphing Inequalities

Linear Inequalities Solving and Graphing Inequalities using Addition or Subtraction
Solving and Graphing Inequalities using Multiplication or Division
Solving and Graphing Multistep Inequalities
Solving and Graphing Compound Inequalities Graphing Inequalities with Two Variables


 
5. Absolute Value
Absolute ValueDefinition of Absolute Value
Absolute Value Equations
Applications of Absolute Value
Absolute Value Calculator
Absolute Value Inequalities Absolute Value Inequality Graphs in Two Variables
Shifts in Absolute Value Graphs
6. Graphs and Functions
Plotting Points and Naming Quadrants Interpreting Graphs RelationsRelations and Determining Whether a Relation is a Function
Function Notation
GraphsConnecting Graphs, Tables, and Equations
Writing an Equation to Describe a Table
Writing an Equation to Describe Pictures
Domain and Range
 
7. Solving Systems of Equations and Inequalities
Systems of EquationsIntroduction to Systems of Equations
Solving Systems of Equations by Graphing
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Systems of Equations & InequatlitiesInconsistent and Dependent Systems of Equations
Solving Systems using Matrices
Systems of Inequalities
8. Word Problems using Systems of Equations
Mixture Problems
Rate Word Problems
Work Word Problems
Money Word Problems
Age Word Problems
Sum of Digits
Percent Concentration
Selling Multiple Items


9. Exponents

ExponentsIntroduction to Exponents
Rules of Exponents
Multiplication and Division Properties of Exponents
Zero and Negative Exponents
Scientific Notation
Simplifying Expressions with Exponents

10. Polynomials
PolynomialsPolynomial Vocabulary
Adding and Subtracting Polynomials
Multiply PolynomialsMultiplying Monomials and/or Binomials and FOIL
Multiplying Polynomials using Area Models
Multiplying Larger Degree Polynomials using Distributing
Multiplying Polynomials: Special Cases
Divide PolynomialsDividing a Polynomial by a Monomial Dividing a Polynomial by a Binomial using Long Division  
11. Factoring Polynomials
Factoring TrinomialsGreatest Common Factors
Difference of Perfect Squares
Factoring Trinomials, a = 1
Factoring Trinomials with "a" Not Equal to One
Factoring Special Cases Perfect Square Trinomials
Factoring Trinomials by Grouping


 
12. Quadratic Equations and Functions
12.1 Graphs of Quadratics

Graphs of QuadraticsExploring Quadratic Graphs
Graphing Quadratic Equations
Vertical and Horizontal Shifts of Quadratic Graphs
Dilations of Quadratic Graphs

12.2 Solving Quadratic Equations

Solve Quadratic EquationsVocabulary of Quadratic
Solving Quadratic Equations by Factoring
Solving Quadratic Equations using Square Roots
Completing the Square

12.3 Solving with the Quadratic Formula

Use Quadratic FormulaThe Quadratic Formula
The Discriminant

12.4 Applications of Quadratic Equations

Applications of Quadratic EquationsThe Vertex and Axis of Symmetry
Applications of Quadratic Equations

13. Radical Expressions and Equations
Radical ExpressionsSimplifying Radical Expressions
Adding and Subtracting Radical Expressions
Multiplying and Distributing Radical Expressions
Dividing Radicals and Rationalizing the Denominator
Radical EquationsSolving Radical Equations
Graphing Radical Equations using a Table
Graphing Radical Equations using Shifts
Estimating Square Roots
Cube Roots
14. Rational Expressions and Functions
Rational FunctionsIntroduction to Rational Functions
Simplifying Rational Functions with Factoring and GCFs
Rational ExpressionsMultiplying and Dividing Rationals
Adding and Subtracting Rational Expressions
Solving Rational Equations with Like Denominators
Solving Rational Equations with Unlike Denominators
15. Introduction to Statistics

StatisticsMean
Median
Mode
Range
Probability
Scatterplots and Correlations



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You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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