College Algebra Essentials, 6th edition

16. Fundamental Concepts of Algebra
    • P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
    • P.2 Exponents and Scientific Notation
    • P.3 Radicals and Rational Exponents
    • P.4 Polynomials
      • Mid-Chapter Check Point
    • P.5 Factoring Polynomials
    • P.6 Rational Expressions
    • Summary, Review, and Test
    • Review Exercises
    • Chapter P Test

1. Equations and Inequalities
   • 1.1 Graphs and Graphing Utilities
   • 1.2 Linear Equations and Rational Equations
   • 1.3 Models and Applications
   • 1.4 Complex Numbers
   • 1.5 Quadratic Equations
     • Mid-Chapter Check Point
   • 1.6 Other Types of Equations
   • 1.7 Linear Inequalities and Absolute Value Inequalities
   • Summary, Review, and Test
   • Review Exercises
   • Chapter 1 Test
2. Functions and Graphs
   • 2.1 Basics of Functions and Their Graphs
   • 2.2 More on Functions and Their Graphs
   • 2.3 Linear Functions and Slope
   • 2.4 More on Slope
     • Mid-Chapter Check Point
   • 2.5 Transformations of Functions
   • 2.6 Combinations of Functions; Composite Functions
   • 2.7 Inverse Functions
   • 2.8 Distance and Midpoint Formulas; Circles
   • Summary, Review, and Test
   • Review Exercises
   • Chapter 2 Test
   • Cumulative Review Exercises Chapters 1 - 2
3. Polynomial and Rational Functions
   • 3.1 Quadratic Functions
   • 3.2 Polynomial Functions and Their Graphs
   • 3.3 Dividing Polynomials; Remainder and Factor Theorems
   • 3.4 Zeros of Polynomial Functions
     • Mid-Chapter Check Point
   • 3.5 Rational Functions and Their Graphs
   • 3.6 Polynomial and Rational Inequalities
   • 3.7 Modeling Using Variation
   • Summary, Review, and Test
   • Review Exercises
   • Chapter 3 Test
   • Cumulative Review Exercises Chapters 1 - 3
4. Exponential and Logarithmic Functions
   • 4.1 Exponential Functions
   • 4.2 Logarithmic Functions
   • 4.3 Properties of Logarithms
     • Mid-Chapter Check Point
   • 4.4 Exponential and Logarithmic Equations
   • 4.5 Exponential Growth and Decay; Modeling Data
   • Summary, Review, and Test
   • Review Exercises
   • Chapter 4 Test
   • Cumulative Review Exercises Chapters 1 - 4
5. Systems of Equations and Inequalities
   • 5.1 Systems of Linear Equations in Two Variables
   • 5.2 Systems of Linear Equations in Three Variables
   • 5.3 Partial Fractions
   • 5.4 Systems of Nonlinear Equations in Two Variables
     • Mid-Chapter Check Point
   • 5.5 Systems of Inequalities
   • 5.6 Linear Programming
   • Summary, Review, and Test
   • Review Exercises
   • Chapter 5 Test
   • Cumulative Review Chapters 1 - 5
6. Matrices and Determinants
   • 6.1 Matrix Solutions to Linear Systems
   • 6.2 Inconsistent and Dependent Systems and Their Applications
   • 6.3 Matrix Operations and Their Applications
     • Mid-Chapter Check Point
   • 6.4 Multiplicative Inverses of Matrices and Matrix Equations
   • 6.5 Determinants and Cramer's Rule
   • Summary, Review, and Test
   • Review Exercises
   • Chapter 6 Test
   • Cumulative Review Chapters 1 - 6
7. Conic Sections
   • 7.1 The Ellipse
   • 7.2 The Hyperbola
     • Mid-Chapter Check Point
   • 7.3 The Parabola
   • Summary, Review, and Test
   • Review Exercises
   • Chapter 7 Test
   • Cumulative Review Chapters 1 - 7
8. Sequences, Induction, and Probability
   • 8.1 Sequences and Summation Notation
   • 8.2 Arithmetic Sequences
   • 8.3 Geometric Sequences and Series
     • Mid-Chapter Check Point
   • 8.4 Mathematical Induction
   • 8.5 The Binomial Theorem
   • 8.6 Counting Principles, Permutations, and Combinations
   • 8.7 Probability
   • Summary, Review, and Test
   • Review Exercises
   • Chapter 8 Test
   • Cumulative Review Chapters 1-8

Appendix: Where Did That Come From? Selected Proofs

Answers to Selected Exercises*

Subject Index

Credits

* Selected answers in Student Edition. In Annotated Instructor's Edition, the longer answers that don't fit next to exercises appear here.