# College Algebra

Video Math teacher provides college algebra tutorials for the levels of math such as Trigonometry, Pre-Calculus, and Calculus. Our helpful online math videos will guide you through step by step instructions that will allow each student to learn at their own pace. If you are looking for help with standardized testing beyond college algebra, we suggest our Test Prep (link) section or our industry specific pages, which specialize in various tests such as the GMAT and ACT, or simply study crucial math areas for a certain profession.

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All College Algebra Lessons Include:

- The Real Number System
- Sets and Set Notation
- Real Numbers and Their Properties
- Operations with Real Numbers
- Translating Verbal Statements from Words to Symbols

- Linear Equations and Inequalities
- Solving Linear Equations in One Variable
- Solving Linear Equations Involving Absolute Value
- Solving Linear Inequalities
- Solving Linear Inequalities Involving Absolute Value
- Literal Equations and Formulas
- More Applications

- Linear Equations and Inequalities in Two or More Variables
- The Rectangular Coordinate System; Graphing Linear Equations in Two Variables
- The Slope of a Line
- Solving Linear Systems of Equations by Graphing
- Solving Linear Systems of Equations by Elimination or Substitution
- Systems of Linear Equations in Three or More Variables
- Graphing Linear Inequalities in Two Variables
- Linear Programming

- The Laws of Exponents and Factoring Polynomials
- Properties of Exponents
- Adding and Subtracting Polynomials
- Multiplication of Polynomials
- Division of Polynomials
- Scientific Notation
- Monomial Factors
- Factoring Trinomials
- Special Types of Factors and Factoring by Grouping
- Factoring Trinomials II; A Test for Factorability
- Solving Second-Degree Equations by Factoring
- More Applications

- Rational Expressions
- Reducing and Building Rational Expressions
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Simplifying Complex Rational Expressions
- Solving Rational Equations
- More Applications

- Exponents and Radicals
- Rational Exponents
- Rational Exponents and Radicals
- Arithmetic Operations Involving Radicals
- Division of Radicals; Rationalizing
- Equations Involving Radicals
- Complex Numbers
- More Applications

- Quadratic Equations
- Solving Quadratic Equations by the Square Root Method
- Solving Quadratic Equations by Completing the Square
- The Quadratic Formula
- Equations Involving Quadratics
- Quadratic Inequalities
- More Applications

- Relations, Functions, and Graphs
- Relations and Functions
- Linear Functions
- The Distance Formula and Circles
- The Parabola
- The Ellipse and Hyperbola
- Nonlinear Systems of Equations
- Nonlinear Systems of Inequalities
- Variation
- Inverse Functions and Relations

- Synthetic Division and Roots of Polynomials
- Synthetic Division
- The Remainder and Factor Theorems
- Descartes' Rule of Signs
- Rational Roots
- Irrational Roots
- Graphing Polynomial Functions

- Exponential and Logarithmic Functions
- Exponential Functions
- Logarithmic Functions
- Properties of Logarithms
- Solving Logarithmic and Exponential Equations
- More Applications

- Matrices and Determinants
- Matrices and Their Properties
- Solving Systems of Equations Using Matrices
- Determinants
- Cramer's Rule

- Sequences, Series, and the Binomial Expansion
- Sequences, Series, and Summation Notation
- Arithmetic Sequences and Series
- Geometric Sequences and Series
- The Binomial Expansion

- Counting and Probability
- Fundamental Principle of Counting
- Permutations and Combinations
- Basic Probability