Intermediate Algebra, 4th edition

Table of Contents

• Preface
• R. Review
• R.1. Success in Mathematics
• R.2. Sets and Classification of Numbers
• R.3. Operations on Signed Numbers; Properties of Real Numbers
• R.4. Order of Operations
• R.5. Algebraic Expressions

1. Linear Equations and Inequalities

Part I. Linear Equations and Inequalities in One Variable

• 1.1. Linear Equations in One Variable
• 1.2. An Introduction to Problem Solving
• 1.3. Using Formulas to Solve Problems
• 1.4. Linear Inequalities in One Variable
  • Putting the Concepts Together (Sections 1.1–1.4)

Part II. Linear Equations and Inequalities in Two Variables

• 1.5. Rectangular Coordinates and Graphs of Equations
• 1.6. Linear Equations in Two Variables
• 1.7. Parallel and Perpendicular Lines
• 1.8. Linear Inequalities in Two Variables
• Chapter 1 Activity: Pass the Paper
• Chapter 1 Review
• Chapter 1 Test
• Cumulative Review Chapters R–1

1. Relations, Functions, and More Inequalities
   • 2.1. Relations
   • 2.2. An Introduction to Functions
   • 2.3. Functions and Their Graphs
     • Putting the Concepts Together (Sections 2.1–2.3)
   • 2.4. Linear Functions and Models
   • 2.5. Compound Inequalities
   • 2.6. Absolute Value Equations and Inequalities
   • Chapter 2 Activity: Shifting Discovery
   • Chapter 2 Review
   • Chapter 2 Test
2. Systems of Linear Equations and Inequalities
   • 3.1. Systems of Linear Equations in Two Variables
   • 3.2. Problem Solving: Systems of Two Linear Equations Containing Two Unknowns
   • 3.3. Systems of Linear Equations in Three Variables
     • Putting the Concepts Together (Sections 3.1–3.3)
   • 3.4. Using Matrices to Solve Systems
   • 3.5. Determinants and Cramer’s Rule
   • 3.6. Systems of Linear Inequalities
   • Chapter 3 Activity: Find the Numbers
   • Chapter 3 Review
   • Chapter 3 Test
   • Cumulative Review Chapters R–3
   • Getting Ready for Chapter 4: Laws of Exponents and Scientific Notation
3. Polynomials and Polynomial Functions
   • 4.1. Adding and Subtracting Polynomials
   • 4.2. Multiplying Polynomials
   • 4.3. Dividing Polynomials; Synthetic Division
     • Putting the Concepts Together (Sections 4.1–4.3)
   • 4.4. Greatest Common Factor; Factoring by Grouping
   • 4.5. Factoring Trinomials
   • 4.6. Factoring Special Products
   • 4.7. Factoring: A General Strategy
   • 4.8. Polynomial Equations
   • Chapter 4 Activity: What Is the Question?
   • Chapter 4 Review
   • Chapter 4 Test
   • Getting Ready for Chapter 5: A Review of Operations on Rational Numbers
4. Rational Expressions and Rational Functions
   • 5.1. Multiplying and Dividing Rational Expressions
   • 5.2. Adding and Subtracting Rational Expressions
   • 5.3. Complex Rational Expressions
     • Putting the Concepts Together (Sections 5.1–5.3)
   • 5.4. Rational Equations
   • 5.5. Rational Inequalities
   • 5.6. Models Involving Rational Expressions
   • 5.7. Variation
   • Chapter 5 Activity: Correct the Quiz
   • Chapter 5 Review
   • Chapter 5 Test
   • Cumulative Review Chapters R–5
   • Getting Ready for Chapter 6: Square Roots
5. Radicals and Rational Exponents
   • 6.1. nth Roots and Rational Exponents
   • 6.2. Simplifying Expressions Using the Laws of Exponents
   • 6.3. Simplifying Radical Expressions Using Properties of Radicals
   • 6.4. Adding, Subtracting, and Multiplying Radical Expressions
   • 6.5. Rationalizing Radical Expressions
     • Putting the Concepts Together (Sections 6.1–6.5)
   • 6.6. Functions Involving Radicals
   • 6.7. Radical Equations and Their Applications
   • 6.8. The Complex Number System
   • Chapter 6 Activity: Which One Does Not Belong?
   • Chapter 6 Review
   • Chapter 6 Test
6. Quadratic Equations and Functions
   • 7.1. Solving Quadratic Equations by Completing the Square
   • 7.2. Solving Quadratic Equations by the Quadratic Formula
   • 7.3. Solving Equations Quadratic in Form
     • Putting the Concepts Together (Sections 7.1–7.3)
   • 7.4. Graphing Quadratic Functions Using Transformations
   • 7.5. Graphing Quadratic Functions Using Properties
   • 7.6. Polynomial Inequalities
   • Chapter 7 Activity: Presidential Decision Making
   • Chapter 7 Review
   • Chapter 7 Test
   • Cumulative Review Chapters R–7
7. Exponential and Logarithmic Functions
   • 8.1. Composite Functions and Inverse Functions
   • 8.2. Exponential Functions
   • 8.3. Logarithmic Functions
     • Putting the Concepts Together (Sections 8.1–8.3)
   • 8.4. Properties of Logarithms
   • 8.5. Exponential and Logarithmic Equations
   • Chapter 8 Activity: Correct the Quiz
   • Chapter 8 Review
   • Chapter 8 Test
8. Conics
   • 9.1. Distance and Midpoint Formulas
   • 9.2. Circles
   • 9.3. Parabolas
   • 9.4. Ellipses
   • 9.5. Hyperbolas
     • Putting the Concepts Together (Sections 9.1–9.5)
   • 9.6. Systems of Nonlinear Equations
   • Chapter 9 Activity: How Do You Know That . . . ?
   • Chapter 9 Review
   • Chapter 9 Test
   • Cumulative Review: Chapters R–9
9. Sequences, Series, and the Binomial Theorem
   • 10.1. Sequences
   • 10.2. Arithmetic Sequences
   • 10.3. Geometric Sequences and Series
     • Putting the Concepts Together (Sections 10.1–10.3)
   • 10.4. The Binomial Theorem
   • Chapter 10 Activity: Discover the Relation
   • Chapter 10 Review
   • Chapter 10 Test

Answers to Selected Exercises

Applications Index

Subject Index

Photo Credits