AlgebraAlgebra

The rules of exponents and radicals, polynomials and factoring, rational expressions, and complex numbers.

1. 1Integer Exponents
2. 2Rational Exponents
3. 3Radicals
4. 4Polynomials
5. 5Factoring Polynomials
6. 6Rational Expressions
7. 7Complex Numbers

Linear and quadratic equations and their applications, equations with radicals or in quadratic form, and inequalities with polynomials, fractions and absolute values.

1. 8Linear Equations
2. 9Applications of Linear Equations
3. 10Equations with More Than One Variable
4. 11Quadratic Equations by Factoring and Square Roots
5. 12Completing the Square and the Quadratic Formula
6. 13Applications of Quadratic Equations
7. 14Equations Reducible to Quadratic Form
8. 15Equations with Radicals
9. 16Linear Inequalities
10. 17Polynomial Inequalities
11. 18Rational Inequalities
12. 19Absolute Value Equations
13. 20Absolute Value Inequalities

Graphs and intercepts, lines and circles, what a function is, and how functions combine and undo each other.

1. 21Graphing and Intercepts
2. 22Lines
3. 23Circles
4. 24The Definition of a Function
5. 25Combining Functions
6. 26Inverse Functions

Piecewise functions and the basic graphs, parabolas, ellipses and hyperbolas, transformations, symmetry, and rational functions.

1. 27Piecewise Functions and the Basic Graphs
2. 28Parabolas
3. 29Ellipses
4. 30Hyperbolas
5. 31Transformations
6. 32Symmetry
7. 33Rational Functions

Dividing polynomials, zeros and their multiplicities, sketching polynomial graphs, the rational root theorem, and partial fractions.

1. 34Dividing Polynomials
2. 35Zeroes of Polynomials
3. 36Graphing Polynomials
4. 37Finding Zeroes of Polynomials
5. 38Partial Fractions

Exponential growth and decay, logarithms as their inverses, solving exponential and logarithmic equations, and compound interest, half-lives and population models.

1. 39Exponential Functions
2. 40Logarithm Functions
3. 41Solving Exponential Equations
4. 42Solving Logarithm Equations
5. 43Applications of Exponentials and Logarithms

Linear systems in two and three variables by substitution and elimination, augmented matrices and row reduction, and nonlinear systems.

1. 44Linear Systems with Two Variables
2. 45Linear Systems with Three Variables
3. 46Augmented Matrices
4. 47Nonlinear Systems