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.

Chapter 1: Fundamentals of Algebra

• 1.1 Sets and Real Numbers
• 1.1 Pre Notes
• 1.1 Post Notes


• 1.2 Operations with Real Numbers
• 1.2 Pre Notes
• 1.2 Post Notes


• 1.3A Properties of Real Numbers (part 1)
• 1.3B Properties of Real Numbers (part 2)
• 1.3 Pre Notes
• 1.3 Post Notes


• 1.4 Algebraic Expressions
• 1.5 Algebraic Expressions--Word Problems
• 1.4 & 1.5 Pre Notes
• 1.4 & 1.5 Post Notes



Chapter 2: Linear Equations and Inequalities

• 2.1 Linear Equations
• 2.1 Pre Notes
• 2.1 Post Notes


• 2.2 Linear Equations and Problem Solving
• 2.2 Pre Notes
• 2.2 Post Notes


• 2.3A Business and Scientific Problems (part 1)
• 2.3B Business and Scientific Problems (part 2)
• 2.3C Business and Scientific Problems (part 3)
• 2.3 Pre Notes
• 2.3 Post Notes


• 2.4 Linear Inequalities
• 2.4 Pre Notes
• 2.4 Post Notes


• 2.5 Absolute Value Linear Equations and Inequalities
• 2.5 Pre Notes
• 2.5 Post Notes



Chapter 3: Graphs & Functions

• 3.1A The Rectangular Coordinate System (part 1)
• 3.1B The Rectangular Coordinate System (part 2)
• 3.1 Pre Notes
• 3.1 Post Notes


• 3.2 Graphs of Equations
• 3.2 Pre Notes
• 3.2 Post Notes


• 3.3A Slope and Graphs of Linear Equations (part 1)
• 3.3B Slope and Graphs of Linear Equations (part 2)
• 3.3 Pre Notes
• 3.3 Post Notes


• 3.4A Equations of Lines (part 1)
• 3.4B Equations of Lines (part 2)
• 3.4 Pre Notes
• 3.4 Post Notes


• 3.6A Relations and Functions (part 1)
• 3.6B Relations and Functions (part 2)
• 3.6 Pre Notes
• 3.6 Post Notes


• 3.7A Graphs of Functions (part 1)
• 3.7B Graphs of Functions (part 2)
• 3.7 Pre Notes
• 3.7 Post Notes


• How to Read a Graph
• How to Read a Graph Pre Notes
• How to Read a Graph Post Notes



Chapter 4: Systems of Equations

• 4.1A Systems of Equations (part 1)
• 4.1B Systems of Equations (part 2)
• 4.1 Pre Notes
• 4.1 Post Notes


• 4.2 Linear Systems in Two Variables
• 4.2 Pre Notes
• 4.2 Post Notes


• 4.3 Linear Systems in Three Variables
• 4.3 Pre Notes
• 4.3 Post Notes



Chapter 5: Polynomials and Factoring

• 5.1 Integer Exponents and Scientific Notation
• 5.1 Pre Notes
• 5.1 Post Notes


• 5.2 Adding and Subtracting Polynomials
• 5.2 Pre Notes
• 5.2 Post Notes


• 5.3 Multiplying Polynomials
• 5.3 Pre Notes
• 5.3 Post Notes


• 5.4 Factoring Polynomials by Grouping and Special Forms
• 5.4 Pre Notes
• 5.4 Post Notes


• 5.5 Factoring Trinomials
• 5.5 Pre Notes
• 5.5 Post Notes


• 5.6 Solving Polynomial Equations by Factoring
• 5.6 Pre Notes
• 5.6 Post Notes



Chapter 6: Rational Expressions, Equations and Functions

• 6.1 Rational Expressions and Functions
• 6.1 Pre Notes
• 6.1 Post Notes


• 6.2 Multiplying and Dividing Rational Expressions
• 6.2 Pre Notes
• 6.2 Post Notes


• 6.3 Adding and Subtracting Rational Expressions
• 6.3 Pre Notes
• 6.3 Post Notes


• 6.4 Complex Fractions
• 6.4 Pre Notes
• 6.4 Post Notes


• 6.5 Dividing Polynomials
• 6.5 Pre Notes
• 6.5 Post Notes


• 6.6 Solving Rational Equations
• 6.6 Pre Notes
• 6.6 Post Notes



Chapter 7: Radicals and Complex Numbers

• 7.1 Radicals and Rational Exponents
• 7.1 Pre Notes
• 7.1 Post Notes


• 7.2A Simplifying Radical Expressions (part 1)
• 7.2B Simplifying Radical Expressions (part 2)
• 7.2 Pre Notes
• 7.2 Post Notes


• 7.3 Adding and Subtracting Radical Expressions
• 7.3 Pre Notes
• 7.3 Post Notes


• 7.4 Mulitplying and Dividing Radical Expressions
• 7.4 Pre Notes
• 7.4 Post Notes


• 7.5 Solving Radical Equations
• 7.5 Pre Notes
• 7.5 Post Notes


• 7.6 Complex Numbers (part 1)
• 7.6 Complex Numbers (part 2)
• 7.6 Pre Notes
• 7.6 Post Notes



Chapter 8: Quadratic Equations

• 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)
• 8A-D Pre Notes
• 8A-D Post Notes


• 8.4 Graphing Quadratic Functions
• 8.4 Pre Notes
• 8.4 Post Notes


• 8.5 Applications of Quadratic Equations
• 8.5 Pre Notes
• 8.5 Post Notes



Chapter 9: Exponential and Logarithmic Functions

• 9.1 Exponential Functions
• 9.1 Pre Notes
• 9.1 Post Notes


• 9.2A Composite and Inverse Functions (part 1)
• 9.2B Composite and Inverse Functions (part 2)
• 9.2 Pre Notes
• 9.2 Post Notes


• 9.3 Logarithmic Functions
• 9.3 Pre Notes
• 9.3 Post Notes


• 9.4 Properties of Logarithm
• 9.4 Pre Notes
• 9.4 Post Notes


• 9.5A Solving Exponential and Logarithmic Equations (part 1)
• 9.5B Solving Exponential and Logarithmic Equations (part 2)
• 9.5 Pre Notes
• 9.5 Post Notes

Practice Exam 1
Practice Exam 2