Algebra 2

Course Info

Table of Contents

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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