Algebra

Castle Learning Online's Algebra is the first of three courses in a series that also includes Geometry and Trigonometry.  Hundreds of multiple choice questions are worked out in full detail, with links to hints, reasons, and vocabulary definitions.  Reference tables included.

Units: (click to view Sections)

1. Number Systems
   
   Sections:
   

   1. Integers and Rational Numbers
   2. Properties of Real Numbers
   3. Decimals, Fractions & Percentages
   4. Scientific Notation
   5. Irrational Numbers, Square Roots, and Powers
   6. Factorials
   7. Properties of Finite Number Systems
   8. Exponents and Logarithms
   9. Complex Numbers
2. Introduction to Algebra (Algebra I)
   
   Sections:
   

   1. Evaluating Algebraic Expressions
   2. Addition & Subtraction of Polynomials
   3. Solving Linear Equations in One Variable
   4. Inequalities
   5. Multiplication of Polynomials
   6. Factoring Polynomials
   7. Rational Expressions & Division of Polynomials
   8. Solving Quadratic Equations by Factoring
   9. Ratios, Proportions, & Direct Variation
   10. Solving Systems of Equations & Inequalities
   11. Word Problems
   12. Adding & Subtracting Algebraic Fractions
   13. Solving Linear Equations with Algebraic Fractions
   14. Simplifying Algebraic Expressions by Factoring
3. Intermediate Algebra (Algebra II)
   
   Sections:
   

   1. The Quadratic Formula
   2. Solving Systems of Equations
   3. Algebraic Fractions & Linear Equations
   4. Radical Expressions & Equations
   5. Exponential Equations
   6. Logarithms
   7. Roots of Quadratic Equations
   8. Absolute Value
   9. Inverse Variation
   10. Relations and Functions
   11. Summations
4. Introduction to Graphing (Algebra I)
   
   Sections:
   

   1. The Real Number Line
   2. The Coordinate Plane
   3. The Equation of a Line
   4. Systems of Equations and Inequalities
   5. The Equation of a Parabola
5. More Graphing Techniques (Algebra II)
   
   Sections:
   

   1. The Equation of a Circle
   2. Systems of 1st and 2nd Degree Equations
   3. Inequalities
   4. Ellipses & Hyperbolas
   5. Exponentials and Logarithms
   6. The Complex Coordinate Plane
   7. Cubic Equations and Functions
6. Probability
   
   Sections:
   

   1. Outcomes, Sample Spaces & Tree Diagrams
   2. Combinations & Arrangements
   3. The Probability of an Event
   4. Permutations with Repetitions
   5. Combinations and the Combinations Formula
   6. Probability of Combined Events
   7. Binomial Expansions
   8. Bernoulli Experiments
7. Statistics
   
   Sections:
   

   1. Data Sets: Mean, Median, Mode, & Percentiles
   2. Displaying Data
   3. Mean, Standard Deviation, and the Normal Distribution
   4. Regressions and Curve Fitting
8. Matrices
   
   Sections:
   

   1. Matrix Operations
   2. Matrix Models
9. Sequences, Series, and Summation Notation
   
   Sections:
   

   1. Sequences
   2. Arithmetic Sequences
   3. Geometric Sequences
   4. Recursive Rules for Sequences
   5. Arithmetic Series
   6. Geometric Series
   7. Summation (Sigma) Notation

Themes:

1. Mathematical Reasoning
2. Number and Numeration
3. Operations
4. Modeling and Multiple Representation
5. Measurement
6. Uncertainty
7. Patterns and Functions

Attributes:

1. Diagram
2. Table
3. Graph
4. Word Problem