1 Follow the Rules

1.1 Numbers

1.2 Order of Operations

1.3 When Does Order Matter?

1.4 Distribution and Factoring

1.5 Equations

1.6 Summary

2 x Marks the Spot

2.1 Expressions

2.2 Arithmetic with Expressions

2.3 Distribution, Subtraction, and Factoring

2.4 Fractions

2.5 Summary

3 One-Variable Linear Equations

3.1 Solving Linear Equations I

3.2 Solving Linear Equations II

3.3 Word Problems

3.4 Linear Equations in Disguise

3.5 Summary

4 More Variables

4.1 Evaluating Multi-Variable Expressions

4.2 Still More Arithmetic

4.3 Distribution and Factoring

4.4 Fractions

4.5 Equations

4.6 Summary

5 Multi-Variable Linear Equations

5.1 Introduction to Two-Variable Linear Equations

5.2 Substitution

5.3 Elimination

5.4 Word Problems

5.5 More Linear Equations in Disguise

5.6 More Variables

5.7 Summary

6 Ratios and Percents

6.1 Basic Ratio Problems

6.2 More Challenging Ratio Problems

6.3 Conversion Factors

6.4 Percent

6.5 Percentage Problems

6.6 Summary

7 Proportion

7.1 Direct Proportion

7.2 Inverse Proportion

7.3 Joint Proportion

7.4 Rate Problems

7.5 Summary

8 Graphing Lines

8.1 The Number Line and the Cartesian Plane

8.2 Introduction to Graphing Linear Equations

8.3 Using Slope in Problems

8.4 Find the Equation

8.5 Slope and Intercepts

8.6 Comparing Lines

8.7 Summary

9 Introduction to Inequalities

9.1 The Basics

9.2 Which Is Greater?

9.3 Linear Inequalities

9.4 Graphing Inequalities

9.5 Optimization

9.6 Summary

10 Quadratic Equations-Part 1

10.1 Getting Started With Quadratics

10.2 Factoring Quadratics I

10.3 Factoring Quadratics II

10.4 Sums and Products of Roots of a Quadratic

10.5 Extensions and Applications

10.6 Summary

11 Special Factorizations

11.1 Squares of Binomials

11.2 Difference of Squares

11.3 Sum and Difference of Cubes

11.4 Rationalizing Denominators

11.5 Simon's Favorite Factoring Trick

11.6 Summary

12 Complex Numbers

12.1 Numbers, Numbers, and More Numbers!

12.2 Imaginary Numbers

12.3 Complex Numbers

12.4 Summary

13 Quadratic Equations-Part 2

13.1 Squares of Binomials Revisited

13.2 Completing the Square

13.3 The Quadratic Formula

13.4 Applications and Extensions

13.5 Summary

14 Graphing Quadratics

14.1 Parabolas

14.2 Circles

14.3 Summary

15 More Inequalities

15.1 Quadratic Inequalities

15.2 Beyond Quadratics

15.3 The Trivial Inequality

15.4 Quadratic Optimization

15.5 Summary

16 Functions

16.1 The Machine

16.2 Combining Functions

16.3 Composition

16.4 Inverse Functions

16.5 Problem Solving with Functions…

16.6 Operations

16.7 Summary

17 Graphing Functions

17.1 Basics

17.2 Transformations

17.3 Inverse Functions Revisited

17.4 Summary

18 Polynomials

18.1 Addition and Subtraction

18.2 Multiplication

18.3 Summary

19 Exponents and Logarithms

19.1 Exponential Functions

19.2 Show Me the Money

19.3 Interest-ing Problems

19.4 What is a Logarithm?…

19.5 Summary

20 Special Functions

20.1 Radicals

20.2 Absolute Value

20.3 Floor and Ceiling

20.4 Rational Functions

20.5 Piecewise Defined Functions

20.6 Summary

21 Sequences & Series

21.1 Arithmetic Sequences

21.2 Arithmetic Series

21.3 Geometric Sequences

21.4 Geometric Series

21.5 Telescoping

21.6 Summary

22 Special Manipulations

22.1 Raising Equations to Powers

22.2 Self-similarity

22.3 Symmetry

22.4 Summary