Cool Math Guy – Algebra II

Topics in Algebra II primarily extend concepts learned in Algebra I and also include functions, complex numbers, exponential and logarithmic functions, use of the graphing calculator, matrices, conics, sequences and series. Algebra II follows either Algebra I or Geometry in the sequence of math courses and is often used as a developmental course at the college level under the name Intermediate Algebra.

Chapter 1 – FUNDAMENTALS OF ALGEBRA

1.1 The Real Number System
1.2 Operations with Real Numbers
1.3 Properties of Real Numbers
1.4 Algebraic Expressions
1.5 Constructing Algebraic Expressions

Chapter 2 – LINEAR EQUATIONS AND INEQUALITIES

2.1 Linear Equations
2.2 Linear Equations and Problem Solving
2.3 Business and Scientific Problems
2.4 Linear Inequalities
2.5 Absolute Value Equations and Inequalities

Chapter 3 – GRAPHS AND FUNCTIONS

3.1 The Rectangular Coordinate System
3.2 Graphs of Equations
3.3 Slope and Graphs of Linear Equations
3.4 Equations of Lines
3.5 Graphs of Linear Inequalities
3.6 Relations and Functions
3.7 Graphs of Functions

Chapter 4 – SYSTEMS OF EQUATIONS AND INEQUALITIES

4.1 Systems of Equations
4.2 Linear Systems in Two Variables
4.3 Linear Systems in Three Variables
4.4 Matrices and Linear Systems
4.5 Determinants and Linear Systems
4.6 Systems of Linear Inequalities

Chapter 5 – POLYNOMIALS AND FACTORING

5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Multiplying Polynomials
5.4 Factoring by Grouping and Special Forms
5.5 Factoring Trinomials
5.6 Solving Polynomial Equations by Factoring

Chapter 6 – RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS

6.1 Rational Expressions and Functions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
6.4 Complex Fractions
6.5 Dividing Polynomials and Synthetic Division
6.6 Solving Rational Equations
6.7 Applications and Variation

Chapter 7 – RADICALS AND COMPLEX NUMBERS

7.1 Radicals and Rational Exponents
7.2 Simplifying Radical Expressions
7.3 Adding and Subtracting Radical Expressions
7.4 Multiplying and Dividing Radical Expressions
7.5 Radical Equations and Applications
7.6 Complex Numbers

Chapter 8 – QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES

8.1 Solving Quadratic Equations: Factoring and Special Forms
8.2 Completing the Square
8.3 The Quadratic Formula
8.4 Graphs of Quadratic Functions
8.5 Applications of Quadratic Equations
8.6 Quadratic and Rational Inequalities

Chapter 9 – EXPONENTIAL AND LOGARITHMIC FUNCTIONS

9.1 Exponential Functions
9.2 Composite and Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Solving Exponential and Logarithmic Equations
9.6 Applications

Chapter 10 – CONICS

10.1 Circles and Parabolas
10.2 Ellipses
10.3 Hyperbolas
10.4 Solving Nonlinear Systems of Equations

Chapter 11 – SEQUENCES, SERIES, AND THE BINOMIAL THEOREM

11.1 Sequences and Series
11.2 Arithmetic Sequences
11.3 Geometric Sequences and Series
11.4 The Binomial Theorem