Chapter 1 - follow the Rules

1.6 Product of Powers (Same Exponent)
1.6 Quotient of Powers (Same Exponent)
1.6 Square of a Sum
1.6 "Same Base" Exponent Rules
1.6 An Exponent Rule Problem
1.6 Zero as an Exponent
1.6 Negative Exponents Introduction
1.6 Reciprocals and Negative Exponents
1.6 Exponent Rules with Negative Exponents
1.7 Square Root Introduction Part 1
1.7 Square Root Introduction Part 2
1.7 Non-Integer Square Roots
1.7 Square Root of a Product
1.7 Sum of Square Roots
1.7 Simplifying Square Roots Part 1
1.7 Simplifying Square Roots Part 2
1.7 What Do Fractional Exponents Mean?
1.7 Fractional Exponent Problems Part 1
1.7 Fractional Exponent Problems Part 2
1.8 Introducing Radical Notation
1.8 Practice with Radical Notation
1.8 More Practice with Radical Notation

chapter 2 - x marks the spot

2.1 Evaluating One-Variable Expressions
2.2 Simplifying One-Variable Expressions
2.3 Simplifying Linear Expressions
2.3 Expressions with Fractions
2.3 Factoring One-Variable Expressions
2.3 Algebraic Expressions Number Game
2.4 Why Cancellation Works
2.4 One-Variable Fractions Part 1
2.4 One-Variable Fractions Part 2

chapter 3 - one-variable linear equations

3.1 Solving Linear Equations Part 1
3.1 Solving Linear Equations Part 2
3.2 Solving Linear Equations Part 3
3.2 Linear Equations with Fractions Part 1
3.2 Linear Equations with Fractions Part 2
3.2 Linear Equations Special Cases
3.3 Word Problems Part 1
3.3 Word Problems Part 2
3.3 Word Problems Part 3
3.4 Linear Equations in Disguise Part 1
3.4 Linear Equations in Disguise Part 2

chapter 4 - more variables

4.1 Evaluating Multi-Variable Expressions
4.2 Combining Like Terms with Multiple Variables
4.2 Exponent Rules and Multi-Variable Expressions
4.3 Distributive Property with Multiple Variables
4.3 Factoring Multi-Variable Expressions Part 1
4.3 Factoring Multi-Variable Expressions Part 2
4.4 Fractions and Multiple Variables
4.5 Introduction to Multi-Variable Equations

chapter 5 - multi-variable linear equations

5.2 Solving Systems of Linear Equations with Substitution
5.3 Solving Systems of Equations with Elimination Part 1
5.3 Solving Systems of Equations with Elimination Part 2
5.3 Systems of Equations with No Solutions
5.3 Systems of Equations with Infinitely Many Solutions
5.4 Systems of Equations and Word Problems Part 1
5.4 Systems of Equations and Word Problems Part 2
5.5 Multi-Variable Systems of Non-Linear Equations
5.6 Systems of Linear Equations with Three Variables

chapter 6 - ratios and percents

​6.1 Introducing Ratios
6.1 Ratios - Parts and Wholes
6.1 Multi-Part Ratios
6.2 Ratio Problem Solving
6.3 Conversion Factors - Part 1
6.3 Conversion Factors - Part 2
6.3 Conversion Factors - Part 3
6.4 Percent Introduction
6.4 Basic Percent Problems
6.4 Percent Increase and Decrease Part 1
6.5 Percent Word Problems Part 1
6.5 Percent Word Problems Part 2
6.5 Percent Increase and Decrease Part 2
6.5 Percent Problem Solving

chapter 7 - proportion

7.1 Direct Proportion
7.2 Inverse Proportion
7.3 Joint Proportion
7.4 Speed Part 1
7.4 Speed Part 2
7.4 Rates Part 1
7.4 Rates Part 2 - Work Problems
7.4 Speed Problem Solving

chapter 8 - graphing lines

8.1 The Distance Formula
8.2 Introducing Slope
8.2 A Qualitative Look at Slope
8.4 Point-Slope Form
8.5 Slope-Intercept Form
8.6 Graphing and Systems of Linear Equations
8.6 Graphing Perpendicular Lines

chapter 9 - introduction to inequalities

9.1 Basics of Inequalities Part 1
9.1 Basics of Inequalities Part 2
9.3 Solving Linear Inequalities
9.3 Interval Notation
9.3 An Inequality Word Problem
9.4 Graphing Linear Inequalities
9.5 Trip to Mars, the Setup
9.5 Trip to Mars, the Solution

chapter 10 - quadratic equations - part 1

​10.1 Multiplying Binomials
10.2 Factoring Quadratics Part 1
10.3 Factoring Quadratics Part 2
10.4 Vieta for Quadratics Part 1
10.4 Vieta for Quadratics Part 2
10.4 Tackling Problems with Vieta

chapter 11 - special factorizations

11.1 Square of a Binomial
11.2 Difference of Squares
11.4 Rationalizing Denominators Part 1
11.4 Rationalizing Denominators Part 2
11.5 Simon's Favorite Factoring Trick

chapter 12 - complex numbers

​12.2 Imaginary Numbers Introduction
12.2 Powers of i
12.3 What Are Complex Numbers?
12.3 Adding Complex Numbers
12.3 Multiplying Complex Numbers
12.3 Dividing by Complex Numbers

chapter 13 - quadratic equations - part 2

13.1 Completing the Square Part 1
13.2 Completing the Square Part 2
13.2 Completing the Square Part 3
13.3 Proving the Quadratic Formula
13.3 Using the Quadratic Formula Part 1
13.3 Using the Quadratic Formula Part 2
13.3 Using the Quadratic Formula Part 3
13.3 The Discriminant
13.4 Quadratic Problem Solving

Videos taken from the Art of Problem Solving.