# Intermediate Algebra

Video Math Teacher provides an intermediate algebra online tutor for students looking to continue their education in more complex elementary algebra problems while including further topics of interest. Let our online math tutors help you solve complex elementary algebra problems through step-by-step informative math videos and lessons.

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All Intermediate Algebra Lessons Include

- The Real Number System
- Sets and Real Numbers
- Properties of Real Numbers
- Operations with Real Numbers

- Linear Equations and Inequalities
- Solving Linear Equations in One Variable
- From Words to Symbols. An Introduction to Applied Problems
- Literal Equations and Formulas
- Solving Linear Equations Involving Absolute Value
- Solving Linear Inequalities
- Solving Linear Inequalities Involving Absolute Value
- More Applications

- Linear Equations and Functions in Two Variables
- The Rectangular Coordinate System; Graphing Linear Equations in Two Variables
- The Slope of a Line; Distance and Midpoint Formulas.
- Point-Slope, Slope-Intercept, and the General Form of the Equation of a Line
- Relations, Functions, and Function Notation
- The Algebra of Functions. Inverse Functions

- Systems of Linear Equations and Inequalities
- Solving Systems of Linear Equations by Graphing, Elimination and Substitution
- Solving Systems of Linear Equations in Three or More Variables
- Determinants and Cramer’s Rule
- Solving Systems of Linear Equations Using Matrices
- Graphing Linear Inequalities in Two Variables
- Linear Programming
- More Applications

- Laws of Exponents, Polynomials and Polynomial Functions
- Exponents and Scientific Notation
- Adding and Subtracting Polynomials
- Multiplying Polynomials
- Dividing Polynomials
- Synthetic Division

- Factoring Polynomials; Factoring by Grouping
- Monomial Factors; Factoring by Grouping
- Factoring Type I Trinomials
- Factoring Type II Trinomials; a Test for Factorability
- Factoring Special Types of Polynomials; More Factoring by Grouping
- General Methods of Factoring
- Solving Nonlinear Equations by Factoring
- More Applications; Solving Applied Problems by Factoring

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

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

- Quadratic Equations, Functions, and Inequalities
- Solving Polynomial Equations by Factoring and the Square Root Property
- Solving Quadratic Equations by Completing the Square
- Solving Quadratic Equations Using the Quadratic Formula
- Solving Equations Involving Quadratics
- Solving Inequalities Involving Quadratics
- Variation
- More Applications

- Conic Sections
- Circles
- Parabolas
- Ellipses
- Hyperbolas
- Solving Nonlinear Systems of Equations
- Solving Nonlinear Systems of Inequalities

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

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