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Master Math: Algebra 2

Book Description

MASTER MATH: ALGEBRA 2 is a clear, comprehensive guide to the concepts and problem-solving techniques taught in the typical high school Intermediate Algebra or Algebra 2 class. As Algebra 2 becomes a graduation requirement in more states, it's more important than ever for students to prepare themselves to handle this intermediate-level course work. MASTER MATH: ALGEBRA 2 carefully introduces the foundational concepts in each topic area--from linear equations to polynomials, radical functions, and beyond--and provides a wealth of tips, step-by-step examples, practice problems, and solutions. Whether you're a student, parent, or teacher, this book will provide clarifying, encouraging help for any learner hoping to master Algebra 2.

Table of Contents

  1. Title Page
  2. Copyright Page
  3. Dedication
  4. About the Author
  5. Table of Contents
  6. Introduction
  7. Chapter 1 Linear Equations and Inequalities
    1. 1.1 Properties of Real Numbers
    2. 1.2 Equations
    3. 1.3 Absolute Value Equations
    4. 1.4 Inequalities
    5. 1.5 Compound Inequalities
    6. 1.6 Absolute Value Inequalities
  8. Chapter 2 Graphs of Linear Equations and Inequalities
    1. 2.1 Graphing Equations
    2. 2.2 Writing Linear Equations
    3. 2.3 Direct Variation
    4. 2.4 Scatter Plots and Lines of Regression
    5. 2.5 Graphing Linear Inequalities
  9. Chapter 3 Systems of Equations and Inequalities
    1. 3.1 Solving Systems of Equations
    2. 3.2 Solving Systems of Inequalities by Graphing
    3. 3.3 Linear Programming
    4. 3.4 Systems of Equations in Three Variables
    5. 3.5 Solving Systems of Equations with Matrices
    6. 3.6 Solving Systems of Equations with Determinants and Cramer’s Rule
  10. Chapter 4 Relations and Functions
    1. 4.1 Definitions
    2. 4.2 Function Notation
    3. 4.3 Piecewise Functions
    4. 4.4 Parent Functions and Transformations
    5. 4.5 Algebra of Functions
    6. 4.6 Inverse Functions
  11. Chapter 5 Quadratic Functions and Relations
    1. 5.1 Basic Definitions
    2. 5.2 Solving Quadratic Equations by Factoring
    3. 5.3 Completing the Square
    4. 5.4 Complex Numbers
    5. 5.5 Solving Quadratic Equations by the Quadratic Formula
    6. 5.6 Solving Quadratic Inequalities
    7. 5.7 Graphing Quadratic Functions
  12. Chapter 6 Polynomials and Polynomial Functions
    1. 6.1 Operations with Polynomials
    2. 6.2 Dividing Polynomials
    3. 6.3 Solving Polynomial Equations by Factoring
    4. 6.4 Polynomial Functions
    5. 6.5 Graphing Polynomial Functions
    6. 6.6 Remainder and Factor Theorems
    7. 6.7 Finding All Factors, Zeros, and Solutions
  13. Chapter 7 Radical Functions and Relations
    1. 7.1 Square Root Function
    2. 7.2 nth Roots
    3. 7.3 Working with Radical Expressions
    4. 7.4 Rational Exponents
    5. 7.5 Radical Equations
  14. Chapter 8 Exponential and Logarithmic Functions
    1. 8.1 Exponential Functions
    2. 8.2 Solving Exponential Equations
    3. 8.3 Logarithmic Functions
    4. 8.4 Properties of Logarithms
    5. 8.5 Common Logarithms
    6. 8.6 Natural Logarithms and Base e
    7. 8.7 Solving Exponential and Logarithmic Equations
  15. Chapter 9 Rational Functions and Relations
    1. 9.1 Simplify, Multiply, and Divide Rational Expressions
    2. 9.2 Add and Subtract Rational Expressions
    3. 9.3 Simplify Complex Rational Expressions
    4. 9.4 Rational Equations
    5. 9.5 Graph Rational Functions
    6. 9.6 Variation Functions
  16. Chapter 10 Sequences and Series
    1. 10.1 Sequences
    2. 10.2 Arithmetic Sequences and Series
    3. 10.3 Geometric Sequences and Series
    4. 10.4 Summation Notation
    5. 10.5 Infinite Geometric Series
    6. 10.6 The Binomial Theorem
  17. Appendix Answers to Exercises