Comprehensive Algebra Video Guide: Step-by-Step Solutions & Tutorials

Click on a problem to see it worked out in YouTube.

Navigate the complexities of algebra with our extensive Algebra Video Compendium. From foundational concepts to advanced topics, our collection offers step-by-step video solutions on YouTube. Tailored to support the 'Intermediate Algebra' textbook by Flat World Knowledge, this visual guide simplifies algebraic learning, making it accessible and engaging for all.

1.1 Real Numbers and The Number Line 




1.2 Adding and Subtracting Integers 




1.3 Multiplying and Dividing Integers




1.4 Fractions



1.5 Review of Decimals and Percents




1.6 Exponents and Square Roots




1.7 Order of Operations




2.1 Introduction to Algebra

2.2 Simplifying Algebraic Expressions


2.3 Linear Equations: Part I

2.4 Linear Equations: Part II

2.5 Applications of Linear Equations

2.6 Ratio and Proportion Applications

2.7 Introduction to Inequalities and Interval Notation

2.8 Linear Inequalities (one variable)




3.1 Rectangular Coordinate System



3.2 Graph by Plotting Points


3.3 Graph using Intercepts


3.4 Graph using the y-intercept and Slope


3.5 Finding Linear Equations


3.6 Parallel and Perpendicular Lines


3.7 Introduction to Functions



3.8 Linear Inequalities (Two Variables)


4.1 Solving Linear Systems by Graphing


4.2 Solving Linear Systems by Substitution


4.3 Solving Linear Systems by Elimination


4.4 Applications of Linear Systems




4.5 Solving Systems of Linear Inequalities (Two Variables)



5.1 Rules of Exponents (Integer Exponents)


5.2 Introduction to Polynomials and Evaluating


5.3 Adding and Subtracting Polynomials


5.4 Multiplying Polynomials and Special Products


5.5 Dividing Polynomials


5.6 Negative Exponents and Scientific Notation



6.1 Introduction to Factoring and Factor by Grouping




6.2 Factoring Trinomials




6.3 Factoring Trinomials ax^2 + bx + c



6.4 Factoring Binomials




6.5 General Guidelines for Factoring Polynomials



6.6 Solving Equations by Factoring


6.7 Applications involving Quadratic Equations


7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions

7.4 Complex Fractions

7.5 Solving Rational Equations

7.6 Applications of Rational Equations

7.7 Variation



1 Radicals

2 Simplifying Radical Expressions


3 Adding and Subtracting Radical Expressions








4 Multiplying and Dividing Radical Expressions









5 Rational Exponents





6 Solving Radical Equations







8 Complex Numbers







Support Course with Tracy Redden

Tracy Redden's support course.

1. A review of graphing lines, finding slope, and finding equations of lines from 2 points and a perpendicular line.


2. Review how to multiply and Factor all types of Polynomials.  I cover Common Factoring, Factor by grouping, Trinomial factoring, and difference and sum of cubes!



3. I show you how to solve all types of linear equations from  basic linear equations to more complicated ones with fractions and variables on both sides.  There are also the ones that end up with no solutions and all reals as a solution.



4. The first step into learning how to solve a quadratic is by factoring.  Here I show you how and explain why.



5. In addition we will look at the domains and restrictions of Rational Expressions.



6. How to Add and Subtract Rational Expressions.  I show you how to find common denominators so you can simplify.



7. How to simplify Complex Fractions.  I show you two different methods.



8. Solving quadratic equations.


... more to come soon.