# Math 1010 | Intermediate Algebra

These lecture videos are organized in an order that corresponds with the current book we are using for our Math1010 courses. We have numbered the videos for quick reference so it's reasonably obvious that each subsequent video presumes knowledge of the previous videos' material. Along with the video lecture for each topic, we have included the "pre-notes" and "post-notes" which are the notes of the lecture before we did the problems and after we worked everything out during the lecture, respectively. You may want to download the notes to use as a reference while watching the lecture video, or for later reference.If you find an error in the lecture or a problem with the video, or if you would like to give feedback to us about these lectures, please email rebecca@math.utah.edu to do so.

Note: The textbook that we refer to here (by section numbers) is

*Intermediate Algebra*, 4th edition, by Larson and Hostetler.

**NOTE: These videos were not recorded in stereo sound. If you are listening to these videos on headphones, you may want to consider setting your sound channels to come through both sides. This document will give you an idea of how to accomplish that.**

- 1.1 Sets and Real Numbers
- 1.2 Operations with Real Numbers
- 1.3A Properties of Real Numbers (part 1)
- 1.3B Properties of Real Numbers (part 2)
- 1.4 Algebraic Expressions
- 1.5 Algebraic Expressions--Word Problems
- 2.1 Linear Equations
- 2.2 Linear Equations and Problem Solving
- 2.3A Business and Scientific Problems (part 1)
- 2.3B Business and Scientific Problems (part 2)
- 2.3C Business and Scientific Problems (part 3)
- 2.4 Linear Inequalities
- 2.5 Absolute Value Linear Equations and Inequalities
- 3.1A The Rectangular Coordinate System (part 1)
- 3.1B The Rectangular Coordinate System (part 2)
- 3.2 Graphs of Equations
- 3.3A Slope and Graphs of Linear Equations (part 1)
- 3.3B Slope and Graphs of Linear Equations (part 2)
- 3.4A Equations of Lines (part 1)
- 3.4B Equations of Lines (part 2)
- 3.6A Relations and Functions (part 1)
- 3.6B Relations and Functions (part 2)
- 3.7A Graphs of Functions (part 1)
- 3.7B Graphs of Functions (part 2)
- How to Read a Graph
- 4.1A Systems of Equations (part 1)
- 4.1B Systems of Equations (part 2)
- 4.2 Linear Systems in Two Variables
- 4.3 Linear Systems in Three Variables
- 5.1 Integer Exponents and Scientific Notation
- 5.2 Adding and Subtracting Polynomials
- 5.3 Multiplying Polynomials
- 5.4 Factoring Polynomials by Grouping and Special Forms
- 5.5 Factoring Trinomials
- 5.6 Solving Polynomial Equations by Factoring
- 6.1 Rational Expressions and Functions
- 6.2 Multiplying and Dividing Rational Expressions
- 6.3 Adding and Subtracting Rational Expressions
- 6.4 Complex Fractions
- 6.5 Dividing Polynomials
- 6.6 Solving Rational Equations
- 7.1 Radicals and Rational Exponents
- 7.2A Simplifying Radical Expressions (part 1)
- 7.2B Simplifying Radical Expressions (part 2)
- 7.3 Adding and Subtracting Radical Expressions
- 7.4 Mulitplying and Dividing Radical Expressions
- 7.5 Solving Radical Equations
- 7.6 Complex Numbers (part 1)
- 7.6 Complex Numbers (part 2)
- 8A Strategies for Solving Quadratic Equations (part 1)
- 8B Strategies for Solving Quadratic Equations (part 2)
- 8C Strategies for Solving Quadratic Equations (part 3)
- 8D Strategies for Solving Quadratic Equations (part 4)
- 8.4 Graphing Quadratic Functions
- 8.5 Applications of Quadratic Equations
- 9.1 Exponential Functions
- 9.2A Composite and Inverse Functions (part 1)
- 9.2B Composite and Inverse Functions (part 2)
- 9.3 Logarithmic Functions
- 9.4 Properties of Logarithm
- 9.5A Solving Exponential and Logarithmic Equations (part 1)
- 9.5B Solving Exponential and Logarithmic Equations (part 2)

## Chapter 1: Fundamentals of Algebra

## Chapter 2: Linear Equations and Inequalities

## Chapter 3: Graphs & Functions

## Chapter 4: Systems of Equations

## Chapter 5: Polynomials and Factoring

## Chapter 6: Rational Expressions, Equations and Functions

## Chapter 7: Radicals and Complex Numbers

## Chapter 8: Quadratic Equations

## Chapter 9: Exponential and Logarithmic Functions

Practice Exam 2