Basic Algebra

A series of free Basic Algebra Video Lessons from Brightstorm online Algebra series. The pre-algebra review is from the Portland Community College.

1. Pre-Algebra Review

1.1 Introduction
Whole Numbers :Place Value and Word Names
Whole Numbers: Expanded Form, Rounding and Inequalities
Addition and Subtraction of Whole Numbers
Multiplication and Division of Whole Numbers
Exponents and Powers of Ten
Order of Operations: Problems with Two or More Operations

1.2 Factors and Fractions
Average, Multiples, Divisors and Factors
Divisibility Tests, Primes and Composites
Prime Factorization, Least Common Multiple

Fractions and Mixed Numbers: What is a Fraction?
Improper Fractions to Mixed Numbers and vice versa
Reducing Fractions, Multiplication of Fractions
Division of Fractions
Multiplication and Division of Mixed Numbers
Listing Fractions in Order of Value
Addition of Like and Unlike Fractions
Addition and Subtraction of Mixed Numbers
Subtraction 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
Approximation of Decimals
Addition and Subtraction of Decimals
Multiplication of Decimals
Multiplication 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)
What is Percent?
Changing Decimals to Percents and vice versa
Fractions to Percents and vice versa
Fractions, Decimals, and Percents Review
Solving Percent Problems, Word Problems (Percents)
Business Related Problems

1.5 Signed Numbers
Signed Numbers
Addition and Subtraction of Signed Numbers
Multiplication and Division of Signed Numbers
Review: Order of Operations

Basic Algebra

2. Solving Equations

2.1 Introduction to Solving Equations
Defining Variables
Additive and Multiplicative Inverses
Simplifying Expressions and Combining Like Terms

2.2 Techniques for Solving Equations
Solving One Step Equations
Solving Two Step Equations
Solving Multi Step Equations
Solving Equations with a Variable on Both Sides

2.3 Ratios, Formulas and Word Problems
Ratios
Proportions
Solving Literal Equations
Percent Change

3. 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

4. Absolute Value

Definitions and Applications of Absolute Value
Absolute Value Equations
Absolute Value Inequalities
Absolute Value Inequality Graphs in Two Variables
Shifts in Absolute Value Graphs

5. Graphs and Functions

Plotting Points and Naming Quadrants
Interpreting Graphs
Relations and Determining Whether a Relation is a Function
Function Notation
Connecting Graphs, Tables, and Equations
Writing an Equation to Describe a Table
Writing an Equation to Describe Pictures
Domain and Range

6. Linear Equations and their Graphs

6.1 The Slope of a Line
Definition 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

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

6.3 Graphing Linear Equations
Intercepts of Linear Equations
Graphing Lines Using Intercepts
Point-Slope Form of Linear Equations
Parallel and Perpendicular Lines

6.4 Variation
Direct Variation
Inverse Variation

6.5 Graphing Lines
Finding the Equation of a Graphed Line
How to Graph a Line using y=mx+b

7. Solving Systems of Equations and Inequalities

Introduction to Systems of Equations
Solving Systems of Equations by Graphing
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Inconsistent 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

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

10. Polynomials

Polynomial Vocabulary
Adding and Subtracting Polynomials
Multiplying Monomials and/or Binomials and FOIL
Multiplying Polynomials using Area Models
Multiplying Larger Degree Polynomials using Distributing
Multiplying Polynomials: Special Cases

11. Factoring Polynomials

Greatest 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: Special Cases: Factoring Trinomials by Grouping

12. Quadratic Equations and Functions

12.1 Graphs of Quadratics
Exploring Quadratic Graphs
Graphing Quadratic Equations
Vertical and Horizontal Shifts of Quadratic Graphs
Dilations of Quadratic Graphs

12.2 Solving Quadratic Equations
Vocabulary of Quadratic
Solving Quadratic Equations by Factoring
Solving Quadratic Equations using Square Roots
Completing the Square

12.3 Solving with the Quadratic Formula
The Quadratic Formula
The Discriminant

12.4 Applications of Quadratic Equations
The Vertex and Axis of Symmetry
Applications of Quadratic Equations

13. Radical Expressions and Equations

Simplifying Radical Expressions
Adding and Subtracting Radical Expressions
Multiplying and Distributing Radical Expressions
Dividing Radicals and Rationalizing the Denominator
Solving Radical Equations
Graphing Radical Equations using a Table
Graphing Radical Equations using Shifts
Estimating Square Roots
Cube Roots

14. Rational Expressions and Functions

Introduction to Rational Functions
Simplifying Rational Functions with Factoring and GCFs
Multiplying and Dividing Rationals
Dividing Polynomials
Adding and Subtracting Rational Expressions
Solving Rational Equations with Like Denominators
Solving Rational Equations with Unlike Denominators

15. Introduction to Statistics

Mean
Median
Mode
Range
Probability
Scatterplots and Correlations

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