1 Exponents
Simplifying Expressions with Rational Exponents
Exercises - Exponents
Rationalizing Denominators
3 Polynomials
4 Polynomial Arithmetic
Exercises - Polynomial Arithmetic
5 Factoring Polynomials
Factoring (Greatest Common Factors)
Factoring Differences of Squares
Factoring as a Sum or Difference of Cubes
Factoring Trinomials
Factoring by Grouping
Exercises - Factoring
6 Rational Expression Arithmetic
Reducing Rational Expressions
Multiplying and Dividing Rational Expressions
Simplifying Complex Fractions
Exercises - Rational Expression Arithmetic
7 The Socks and Shoes Principle
Solving Linear Equations
Soving Higher Degree Equations (by factoring)
Solving Equations with Rational Expressions
Exercises - Solving Equations
9 Inequalities
Solving Inequalities
Solving Inequalities Involving Absolute Value
Exercises - Solving Inequalities
10 Functions
Evaluating Functions
Finding the Domain of a Function
Combinations of Functions
Exercises - Functions and their Combinations
11 Lines
Exercises - Lines
12 Parabolas
Exercises - Parabolas
13 Distance, Circles and Semi-circles
Exercises - Distance, Circles, and Semi-Circles
14 Piecewise Functions
15 Inverses of Functions
16 Graphs and Transformations
17 Right Triangle Trigonometry
Tattoos on Math
18 The Measurement of Angles
19 The Unit Circle
20 Some Useful Trigonometric Identities
21 Proving Other Trigometric Identities
22 Graphs of Trigonometric Functions
23 Trigonometric Equations
24 Inverse Trigonometric Functions
25 Exponential Functions and their Graphs
26 Logarithmic Functions and their Graphs
27 Exponential and Logarithmic Equations