Elementary & Intermediate Algebra, 4th edition

1. Operations on Real Numbers and Algebraic Expressions
   • 1.1. Success in Mathematics
   • 1.2. Fractions, Decimals, and Percents
   • 1.3. The Number Systems and the Real Number Line
   • 1.4. Adding, Subtracting, Multiplying, and Dividing Integers
   • 1.5. Adding, Subtracting, Multiplying, and Dividing Rational Numbers
     • Putting the Concepts Together (Sections 1.2 — 1.5)
   • 1.6. Properties of Real Numbers
   • 1.7. Exponents and the Order of Operations
   • 1.8. Simplifying Algebraic Expressions
   • Chapter 1 Activity: The Math Game
   • Chapter 1 Review
   • Chapter 1 Test
2. Linear Equations and Inequalities in One Variable
   • 2.1. Linear Equations: The Addition and Multiplication Properties of Equality
   • 2.2. Linear Equations: Using the Properties Together
   • 2.3. Solving Linear Equations Involving Fractions and Decimals; Classifying Equations
   • 2.4. Evaluating Formulas and Solving Formulas for a Variable
     • Putting the Concepts Together (Sections 2.1 — 2.4)
   • 2.5. Problem Solving: Direct Translation
   • 2.6. Problem Solving: Problems Involving Percent
   • 2.7. Problem Solving: Geometry and Uniform Motion
   • 2.8. Solving Linear Inequalities in One Variable
   • Chapter 2 Activity: Pass to the Right
   • Chapter 2 Review
   • Chapter 2 Test
   • Cumulative Review Chapters 1 — 2
3. Introduction to Graphing and Linear Equations in Two Variables
   • 3.1. The Rectangular Coordinate System and Linear Equations in Two Variables
   • 3.2. Graphing Linear Equations in Two Variables
   • 3.3. Slope
   • 3.4. Slope-Intercept Form of a Line
   • 3.5. Point-Slope Form of a Line
   • 3.6. Parallel and Perpendicular Lines
     • Putting the Concepts Together (Sections 3.1 — 3.6)
   • 3.7. Linear Inequalities in Two Variables
   • Chapter 3 Activity: Graphing Practice
   • Chapter 3 Review
   • Chapter 3 Test
   • Cumulative Review Chapters 1 — 3
4. Systems of Linear Equations and Inequalities
   • 4.1. Solving Systems of Linear Equations by Graphing
   • 4.2. Solving Systems of Linear Equations Using Substitution
   • 4.3. Solving Systems of Linear Equations Using Elimination
     • Putting the Concepts Together (Sections 4.1 — 4.3)
   • 4.4. Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations
   • 4.5. Solving Mixture Problems Using Systems of Linear Equations
   • 4.6. Systems of Linear Inequalities
   • Chapter 4 Activity: Find the Numbers
   • Chapter 4 Review
   • Chapter 4 Test
   • Cumulative Review Chapters 1 — 4
5. Exponents and Polynomials
   • 5.1. Adding and Subtracting Polynomials
   • 5.2. Multiplying Monomials: The Product and Power Rules
   • 5.3. Multiplying Polynomials
   • 5.4. Dividing Monomials: The Quotient Rule and Integer Exponents
     • Putting the Concepts Together (Sections 5.1 — 5.4)
   • 5.5. Dividing Polynomials
   • 5.6. Applying the Exponent Rules: Scientific Notation
   • Chapter 5 Activity: What Is the Question?
   • Chapter 5 Review
   • Chapter 5 Test
   • Cumulative Review Chapters 1 — 5
6. Factoring Polynomials
   • 6.1. Greatest Common Factor and Factoring by Grouping
   • 6.2. Factoring Trinomials of the Form x² + bx + c
   • 6.3. Factoring Trinomials of the Form ax² + bx + c, a ≠ 1
   • 6.4. Factoring Special Products
   • 6.5. Summary of Factoring Techniques
     • Putting the Concepts Together (Sections 6.1 — 6.5)
   • 6.6. Solving Polynomial Equations by Factoring
   • 6.7. Modeling and Solving Problems with Quadratic Equations
   • Chapter 6 Activity: Which One Does Not Belong?
   • Chapter 6 Review
   • Chapter 6 Test
   • Cumulative Review Chapters 1 — 6
   • Getting Ready for Intermediate Algebra: A Review of Chapters 1 — 6
7. Rational Expressions and Equations
   • 7.1. Simplifying Rational Expressions
   • 7.2. Multiplying and Dividing Rational Expressions
   • 7.3. Adding and Subtracting Rational Expressions with a Common Denominator
   • 7.4. Finding the Least Common Denominator and Forming Equivalent Rational Expressions
   • 7.5. Adding and Subtracting Rational Expressions with Unlike Denominators
   • 7.6. Complex Rational Expressions
     • Putting the Concepts Together (Sections 7.1 — 7.6)
   • 7.7. Rational Equations
   • 7.8. Models Involving Rational Equations
   • Chapter 7 Activity: Correct the Quiz
   • Chapter 7 Review
   • Chapter 7 Test
   • Cumulative Review Chapters 1 — 7
   • Getting Ready for Intermediate Algebra: A Review of Chapters 1 — 7
   • Getting Ready for Chapter 8: Interval Notation
8. Graphs, Relations, and Functions
   • 8.1. Graphs of Equations
   • 8.2. Relations
   • 8.3. An Introduction to Functions
   • 8.4. Functions and Their Graphs
     • Putting the Concepts Together (Sections 8.1 — 8.4)
   • 8.5. Linear Functions
   • 8.6. Compound Inequalities
   • 8.7. Absolute Value Equations and Inequalities
   • 8.8. Variation
   • Chapter 8 Activity: Shifting Discovery
   • Chapter 8 Review
   • Chapter 8 Test
   • Chapters 1 — 8 Cumulative Review
9. Radicals and Rational Exponents
   • 9.1. Square Roots
   • 9.2. nth Roots and Rational Exponents
   • 9.3. Simplify Expressions Using the Laws of Exponents
   • 9.4. Simplifying Radical Expressions
   • 9.5. Adding, Subtracting, and Multiplying Radical Expressions
   • 9.6. Rationalizing Radical Expressions
     • Putting the Concepts Together (Sections 9.1 — 9.6)
   • 9.7. Functions Involving Radicals
   • 9.8. Radical Equations and Their Applications
   • 9.9. The Complex Number System
   • Chapter 9 Activity: Which One Does Not Belong?
   • Chapter 9 Review
   • Chapter 9 Test
   • Cumulative Review Chapters 1 — 9
10. Quadratic Equations and Functions
    • 10.1. Solving Quadratic Equations by Completing the Square
    • 10.2. Solving Quadratic Equations by the Quadratic Formula
    • 10.3. Solving Equations Quadratic in Form
      • Putting the Concepts Together (Sections 10.1 — 10.3)
    • 10.4. Graphing Quadratic Functions Using Transformations
    • 10.5. Graphing Quadratic Functions Using Properties
    • 10.6. Polynomial Inequalities
    • 10.7. Rational Inequalities
    • Chapter 10 Activity: Presidential Decision Making
    • Chapter 10 Review
    • Chapter 10 Test
    • Cumulative Review Chapters 1 — 10
11. Exponential and Logarithmic Functions
    • 11.1. Composite Functions and Inverse Functions
    • 11.2. Exponential Functions
    • 11.3. Logarithmic Functions
      • Putting the Concepts Together (Sections 11. 1 — 11.3)
    • 11.4. Properties of Logarithms
    • 11.5. Exponential and Logarithmic Equations
    • Chapter 11 Activity: Correct the Quiz
    • Chapter 11 Review
    • Chapter 11 Test
    • Cumulative Review Chapters 1 — 11
12. Conics
    • 12.1. Distance and Midpoint Formulas
    • 12.2. Circles
    • 12.3. Parabolas
    • 12.4. Ellipses
    • 12.5. Hyperbolas
      • Putting the Concepts Together (Sections 12.1 — 12.5)
      • Nonlinear Systems of Equations
    • Chapter 12 Activity: How Do You Know That…?
    • Chapter 12 Review
    • Chapter 12 Test
    • Cumulative Review Chapters 1 — 12
13. Sequences, Series, and the Binomial Theorem
    • 13.1. Sequences
    • 13.2. Arithmetic Sequences
    • 13.3. Geometric Sequences and Series
    • 13.4. The Binomial Theorem
    • Chapter 13 Activity: Pass to the Right
    • Chapter 13 Review
    • Chapter 13 Test
    • Cumulative Review Chapters 1 — 13

Appendix A: Synthetic Division

Appendix B: Geometry Review

Appendix C: More on Systems of Linear Equations

Appendix D: Table of Square Roots

Appendix E: Transformations

Answers to Selected Exercises