# Algebra 2

### Course Info

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

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