College Algebra, 4th Edition

Book description

For courses in College Algebra.

Effectively emphasizes both concept development and real-life applications The Ratti/McWaters/Skrzypek series draws from the authors’ extensive classroom experience to connect concepts while maintaining course rigor. Just-in-time review throughout College Algebra, 4th Edition ensures that all students are brought to the same level before being introduced to new concepts. Numerous applications are used to help students apply the concepts and skills they learn in college algebra and trigonometry to other courses (including the physical and biological sciences, engineering, economics, and to on-the-job and everyday problem solving).

Students are given ample opportunities to think about important mathematical ideas and to practice and apply algebraic skills.

Because mathematical concepts are developed thoroughly and with clearly defined terminology, students see the “why” behind those concepts—paving the way for a deeper understanding, better retention, less reliance on rote memorization, and ultimately more success.

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Table of contents

  1. MyLab Math Online Course for College Algebra by Ratti, McWaters, Skrzypek (access code required)
  2. Connect the Concepts and Relate the Math
  3. College Algebra
  4. College Algebra
  5. Foreword
  6. Contents
  7. Preface
    1. Key Content Changes
    2. Features
  8. Get the Most Out of MyLab Math
  9. Resources for Success
  10. Dedication
  11. Chapter P Basic Concepts of Algebra
    1. Topics
    2. Section P.1 The Real Numbers and Their Properties
      1. Before Starting This Section, Review From Your Previous Mathematics Texts
      2. Objectives
      3. Classifying Numbers
      4. Equality of Numbers
      5. Classifying Sets of Numbers
      6. Rational Numbers
        1. Solution
          1. Practice Problem 1
      7. Irrational Numbers
        1. Solution
          1. Practice Problem 2
      8. Integer Exponents
        1. Solution
          1. Practice Problem 3
      9. The Real Number Line
      10. Inequalities
        1. Solution
          1. Practice Problem 4
      11. Sets
      12. Definition of Union and Intersection
        1. Solution
          1. Practice Problem 5
      13. Intervals
        1. Solution
          1. Practice Problem 6
      14. Absolute Value
        1. Solution
          1. Practice Problem 7
      15. Distance Between Two Points on a Real Number Line
        1. Solution
          1. Practice Problem 8
      16. Order of Operations
        1. Solution
          1. Practice Problem 9
      17. Properties of the Real Numbers
      18. Subtraction and Division of Real Numbers
        1. Solution
          1. Practice Problem 10
      19. Algebraic Expressions
        1. Solution
          1. Practice Problem 11
        2. Solution
          1. Practice Problem 12
      20. Section P.1 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
    3. Section P.2 Integer Exponents and Scientific Notation
      1. Before Starting This Section, Review
      2. Objectives
      3. Integer Exponents
        1. Solution
          1. Practice Problem 1
      4. Rules of Exponents
        1. Solution
          1. Practice Problem 2
        2. Solution
          1. Practice Problem 3
        3. Solution
          1. Practice Problem 4
        4. Solution
          1. Practice Problem 5
        5. Solution
          1. Practice Problem 6
      5. Simplifying Exponential Expressions
        1. Solution
          1. Practice Problem 7
      6. Scientific Notation
        1. Solution
          1. Practice Problem 8
        2. Practice Problem 9
      7. Section P.2 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
    4. Section P.3 Polynomials
      1. Before Starting This Section, Review
      2. Objectives
      3. Polynomial Vocabulary
        1. Solution
          1. Practice Problem 1
      4. Adding and Subtracting Polynomials
        1. Practice Problem 2
        2. Practice Problem 3
      5. Multiplying Polynomials
        1. Practice Problem 4
        2. Practice Problem 5
      6. Special Products
        1. Practice Problem 6
      7. Squaring a Binomial Sum or Difference
        1. Solution
          1. Practice Problem 7
      8. The Product of the Sum and Difference of Terms
        1. Solution
          1. Practice Problem 8
        2. Solution
          1. Practice Problem 9
      9. Section P.3 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
    5. Section P.4 Factoring Polynomials
      1. Before Starting This Section, Review
      2. Objectives
      3. The Greatest Common Monomial Factor
      4. Factoring Out a Monomial
        1. Solution
          1. Practice Problem 1
      5. Factoring Trinomials of the Form x2+Bx+C
        1. Solution
          1. Practice Problem 2
      6. Factoring Formulas
      7. Perfect-Square Trinomials
        1. Solution
          1. Practice Problem 3
      8. Difference of Squares
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
      9. Difference and Sum of Cubes
        1. Solution
          1. Practice Problem 6
        2. Solution
          1. Practice Problem 7
      10. Factoring by Grouping
        1. Solution
          1. Practice Problem 8
        2. Solution
          1. Practice Problem 9
      11. Factoring Trinomials of the Form Ax2+Bx+C
        1. Solution
          1. Practice Problem 10
      12. Section P.4 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
    6. Section P.5 Rational Expressions
      1. Before Starting This Section, Review
      2. Objectives
      3. Rational Expressions
        1. Solution
          1. Practice Problem 1
      4. Lowest Terms for a Rational Expression
        1. Solution
          1. Practice Problem 2
      5. Multiplication and Division of Rational Expressions
        1. Solution
          1. Practice Problem 3
      6. Addition and Subtraction of Rational Expressions
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
        3. Solution
          1. Practice Problem 6
        4. Solution
          1. Practice Problem 7
      7. Complex Fractions
        1. Solution
          1. Practice Problem 8
        2. Solution
          1. Practice Problem 9
      8. Section P.5 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
    7. Section P.6 Rational Exponents and Radicals
      1. Before Starting This Section, Review
      2. Objectives
      3. Square Roots
        1. Solution
          1. Practice Problem 1
      4. Simplifying Square Roots
        1. Solution
          1. Practice Problem 2
        2. Solution
          1. Practice Problem 3
      5. Other Roots
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
      6. Like Radicals
        1. Solution
          1. Practice Problem 6
      7. Radicals with Different Indexes
        1. Solution
          1. Practice Problem 7
      8. Rationalizing Radical Expressions
        1. Solution
          1. Practice Problem 8
      9. Conjugates
        1. Solution
          1. Practice Problem 9
      10. Rational Exponents
        1. Solution
          1. Practice Problem 10
        2. Solution
          1. Practice Problem 11
        3. Solution
          1. Practice Problem 12
        4. Solution
          1. Practice Problem 13
        5. Solution
          1. Practice Problem 14
      11. Section P.6 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
    8. Chapter P Review and Tests
      1. Review
    9. Review Exercises
      1. Building Skills
      2. Applying the Concepts
    10. Practice Test
  12. Chapter 1 Equations and Inequalities
    1. Topics
    2. Section 1.1 Linear Equations in One Variable
      1. Before Starting this Section, Review
      2. Objectives
      3. Definitions
        1. Solution
          1. Practice Problem 1
      4. Identities, Conditional Equations, and Inconsistent Equations
      5. Equivalent Equations
      6. Solving Linear Equations in One Variable
        1. Practice Problem 2
          1. Solution
        2. Practice Problem 3
          1. Solution
        3. Practice Problem 4
          1. Solution
        4. Practice Problem 5
          1. Solution
        5. Practice Problem 6
      7. Formulas
        1. Solution
          1. Practice Problem 7
        2. Solution
          1. Practice Problem 8
        3. Solution
          1. Practice Problem 9
      8. Section 1.1 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    3. Section 1.2 Applications of Linear Equations: Modeling
      1. Before Starting this Section, Review
      2. Objectives
      3. Solving Applied Problems
        1. Solution
          1. Practice Problem 1
      4. Geometry
        1. Solution
          1. Practice Problem 2
      5. Finance
        1. Solution
          1. Practice Problem 3
        2. Solution
          1. Practice Problem 4
      6. Uniform Motion
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
      7. Work Rate
        1. Solution
          1. Practice Problem 7
      8. Mixtures
        1. Solution
          1. Practice Problem 8
      9. Section 1.2 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    4. Section 1.3 Quadratic Equations
      1. Before Starting this Section, Review
      2. Objectives
      3. Factoring Method
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
      4. The Square Root Method
        1. Solution
          1. Practice Problem 4
      5. Completing the Square
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
      6. The Quadratic Formula
        1. Solution
          1. Practice Problem 7
      7. The Discriminant
        1. Solution
          1. Practice Problem 8
      8. Applications
        1. Solution
          1. Practice Problem 9
        2. Solution
          1. Practice Problem 10
      9. Golden Rectangle
        1. Solution
          1. Practice Problem 11
      10. Section 1.3 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    5. Section 1.4 Complex Numbers: Quadratic Equations with Complex Solutions
      1. Before Starting this Section, Review
      2. Objectives
      3. Complex Numbers
        1. Solution
          1. Practice Problem 1
      4. Addition and Subtraction
        1. Solution
          1. Practice Problem 2
      5. Multiplying Complex Numbers
        1. Solution
          1. Practice Problem 3
        2. Solution
          1. Practice Problem 4
      6. Complex Conjugates and Division
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
        3. Solution
          1. Practice Problem 7
      7. Quadratic Equations with Complex Solutions
        1. Solution
          1. Practice Problem 8
      8. The Discriminant
        1. Solution
          1. Practice Problem 9
      9. Section 1.4 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Writing/Discussion
        6. Getting Ready for the Next Section
    6. Section 1.5 Solving Other Types of Equations
      1. Before Starting this Section, Review
      2. Objectives
      3. Solving Equations by Factoring
        1. Practice Problem 1
          1. Solution
        2. Practice Problem 2
      4. Rational Equations
        1. Solution
          1. Practice Problem 3
        2. Solution
          1. Practice Problem 4
      5. Equations Involving Radicals
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
        3. Solution
          1. Practice Problem 7
      6. Equations with Rational Exponents
        1. Solution
          1. Practice Problem 8
      7. Equations That Are Quadratic in Form
        1. Solution
          1. Practice Problem 9
        2. Solution
          1. Practice Problem 10
        3. Solution
          1. Practice Problem 11
      8. Section 1.5 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    7. Section 1.6 Inequalities
      1. Before Starting this Section, Review
      2. Objectives
      3. Inequalities
      4. Linear Inequalities
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
      5. Combining Two Inequalities
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
        3. Solution
          1. Practice Problem 6
        4. Solution
          1. Practice Problem 7
        5. Solution
          1. Practice Problem 8
      6. Using Test Points to Solve Inequalities
        1. Practice Problem 9
        2. Practice Problem 10
      7. Section 1.6 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    8. Section 1.7 Equations and Inequalities Involving Absolute Value
      1. Before Starting this Section, Review
      2. Objectives
      3. Equations Involving Absolute Value
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
      4. Inequalities Involving Absolute Value
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
        3. Solution
          1. Practice Problem 6
        4. Solution
          1. Practice Problem 7
        5. Solution
          1. Practice Problem 8
      5. Section 1.7 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    9. Chapter 1 Review and Tests
      1. Review
    10. Review Exercises
      1. Building Skills
      2. Applying the Concepts
    11. Practice Test A
    12. Practice Test B
  13. Chapter 2 Graphs and Functions
    1. Topics
    2. Section 2.1 The Coordinate Plane
      1. Before Starting this Section, Review
      2. Objectives
      3. The Coordinate Plane
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
      4. Scales on a Graphing Utility
      5. Distance Formula
        1. Solution
          1. Practice Problem 3
        2. Solution
          1. Practice Problem 4
        3. Solution
          1. Practice Problem 5
      6. Midpoint Formula
        1. Solution
          1. Practice Problem 6
      7. Section 2.1 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    3. Section 2.2 Graphs of Equations
      1. Before Starting this Section, Review
      2. Objectives
      3. Graph of an Equation
        1. Solution
          1. Practice Problem 1
        2. Comment
      4. Intercepts
        1. Solution
          1. Practice Problem 2
      5. Symmetry
        1. Solution
          1. Practice Problem 3
        2. Practice Problem 4
          1. Solution
        3. Practice Problem 5
      6. Circles
      7. Standard Form
        1. Solution
          1. Practice Problem 6
        2. Solution
          1. Practice Problem 7
      8. Semicircles
      9. General Form
        1. Solution
          1. Practice Problem 8
      10. Section 2.2 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
          1. Applying the Concepts
          2. Beyond the Basics
          3. Critical Thinking / Discussion / Writing
          4. Getting Ready for the Next Section
    4. Section 2.3 Lines
      1. Before Starting this Section, Review
      2. Objectives
      3. Slope of a Line
        1. Solution
          1. Interpretation
          2. Practice Problem 1
      4. Point–Slope Form
        1. Solution
          1. Practice Problem 2
        2. Solution
          1. Practice Problem 3
      5. Slope–Intercept Form
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
      6. Equations of Horizontal and Vertical Lines
        1. Solution
          1. Practice Problem 6
      7. General Form of the Equation of a Line
        1. Solution
          1. Practice Problem 7
        2. Solution
          1. Practice Problem 8
      8. Parallel and Perpendicular Lines
        1. Practice Problem 9
      9. Modeling Data Using Linear Regression
        1. Solution
          1. Practice Problem 10
      10. Section 2.3 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    5. Section 2.4 Functions
      1. Before Starting this Section, Review
      2. Objectives
      3. Functions
      4. Function Notation
      5. Representations of Functions
        1. Functions Defined by Ordered Pairs
          1. Solution
            1. Practice Problem 1
        2. Functions Defined by Tables and Graphs
        3. Functions Defined by Equations
          1. Solution
            1. Practice Problem 2
          2. Solution
            1. Practice Problem 3
          3. Solution
            1. Practice Problem 4
      6. The Domain of a Function
        1. Solution
          1. Practice Problem 5
      7. The Range of a Function
        1. Solution
          1. Practice Problem 6
      8. Graphs of Functions
        1. Solution
          1. Practice Problem 7
      9. Function Information from Its Graph
        1. Solution
          1. Practice Problem 8
        2. Solution
          1. Practice Problem 9
      10. Building Functions
        1. Level of Drugs in Bloodstream
          1. Solution
            1. Practice Problem 10
          2. Solution
            1. Practice Problem 11
      11. Functions in Economics
        1. Linear Cost Function
        2. Linear Price–Demand Function
        3. Revenue Function R(x)
        4. Profit Function P(x)
          1. Solution
            1. Practice Problem 12
      12. Section 2.4 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    6. Section 2.5 Properties of Functions
      1. Before Starting this Section, Review
      2. Objectives
      3. Increasing and Decreasing Functions
        1. Solution
          1. Practice Problem 1
      4. Relative Maximum and Minimum Values
        1. Solution
          1. Practice Problem 2
        2. Solution
          1. Practice Problem 3
        3. Solution
          1. Practice Problem 4
      5. Even–Odd Functions and Symmetry
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
        3. Solution
          1. Practice Problem 7
      6. Average Rate of Change
        1. Practice Problem 8
          1. Solution
        2. Practice Problem 9
          1. Solution
        3. Practice Problem 10
          1. Solution
        4. Practice Problem 11
      7. Section 2.5 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    7. Section 2.6 A Library of Functions
      1. Before Starting this Section, Review
      2. Objectives
      3. Linear Functions
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
      4. Square Root and Cube Root Functions
        1. Square Root Function
          1. Solution
            1. Practice Problem 3
        2. Cube Root Function
          1. Solution
            1. Practice Problem 4
      5. Piecewise Functions
        1. Practice Problem 5
          1. Solution
        2. Practice Problem 6
          1. Solution
        3. Practice Problem 7
      6. Graphing Piecewise Functions
        1. Solution
          1. Practice Problem 8
        2. Solution
          1. Practice Problem 9
      7. Basic Functions
      8. Section 2.6 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    8. Section 2.7 Transformations of Functions
      1. Before Starting this Section, Review
      2. Objectives
      3. Transformations
      4. Vertical and Horizontal Shifts
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Practice Problem 3
      5. Reflections
        1. Comparing the Graphs of y=f(x) and y=−f(x)
        2. Comparing the Graphs of y=f(x) and y=f(−x)
          1. Solution
            1. Practice Problem 4
          2. Solution
            1. Practice Problem 5
      6. Stretching or Compressing
        1. Comparing the Graphs of y=f(x) and y=af(x)
          1. Solution
            1. Practice Problem 6
        2. Comparing the Graphs of y=f(x) and y=f(bx)
          1. Solution
            1. Practice Problem 7
      7. Multiple Transformations in Sequence
        1. Solution
          1. Practice Problem 8
        2. Solution
          1. Practice Problem 9
      8. Section 2.7 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    9. Section 2.8 Combining Functions; Composite Functions
      1. Before Starting this Section, Review
      2. Objectives
      3. Combining Functions
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
      4. Composition of Functions
        1. Evaluating (f∘g)(x)
          1. Solution
            1. Practice Problem 3
          2. Solution
            1. Practice Problem 4
      5. Domain of Composite Functions
        1. Practice Problem 5
          1. Solution
        2. Practice Problem 6
          1. Solution
        3. Practice Problem 7
      6. Decomposition of a Function
        1. Practice Problem 8
      7. Applications of Composite Functions
        1. Solution
          1. Practice Problem 9
        2. Solution
          1. Practice Problem 10
      8. Section 2.8 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      9. Section 2.9 Inverse Functions
        1. Before Starting this Section, Review
        2. Objectives
        3. Inverses
          1. Solution
            1. Practice Problem 1
          2. Solution
            1. Practice Problem 2
          3. Solution
            1. Practice Problem 3
        4. Finding the Inverse Function
          1. Solution
            1. Practice Problem 4
          2. Practice Problem 5
            1. Solution
          3. Practice Problem 6
          4. Finding the Range of a One-to-One Function
            1. Solution
              1. Practice Problem 7
            2. Solution
              1. Practice Problem 8
          5. Applications
            1. Solution
              1. Practice Problem 9
      10. Section 2.9 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    10. Chapter 2 Review and Tests
      1. Review
    11. Review Exercises
      1. Building Skills
      2. Applying the Concepts
    12. Practice Test A
    13. Practice Test B
    14. Cumulative Review Exercises Chapters P–2
  14. Chapter 3 Polynomial and Rational Functions
    1. Topics
    2. Section 3.1 Quadratic Functions
      1. Before Starting this Section, Review
      2. Objectives
      3. Quadratic Functions
      4. Standard Form of a Quadratic Function
        1. Solution
          1. Practice Problem 1
        2. Practice Problem 2
      5. Graphing a Quadratic Function f(x)=ax2+bx+c
        1. Converting f(x)=ax2+bx+c to Standard Form
          1. Practice Problem 3
            1. Solution
          2. Practice Problem 4
      6. Applications
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
      7. Section 3.1 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    3. Section 3.2 Polynomial Functions
      1. Before Starting this Section, Review
      2. Objectives
      3. Polynomial Functions
        1. Solution
          1. Practice Problem 1
      4. Power Functions
        1. Power Function of Even Degree
        2. Power Function of Odd Degree
      5. End Behavior of Polynomial Functions
        1. Solution
          1. Practice Problem 2
        2. Solution
          1. Practice Problem 3
      6. Zeros of a Function
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
      7. Zeros and Turning Points
        1. Solution
          1. Practice Problem 6
        2. Solution
          1. Practice Problem 7
        3. Turning Points
          1. Solution
            1. Practice Problem 8
      8. Graphing a Polynomial Function
        1. Practice Problem 9
          1. Solution
        2. Practice Problem 10
        3. Volume of a Wine Barrel
          1. Solution
            1. Practice Problem 11
      9. Section 3.2 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    4. Section 3.3 Dividing Polynomials
      1. Before Starting this Section, Review
      2. Objectives
      3. The Division Algorithm
        1. Practice Problem 1
          1. Solution
        2. Practice Problem 2
          1. Synthetic Division
        3. Practice Problem 3
          1. Solution
        4. Practice Problem 4
      4. The Remainder and Factor Theorems
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
        3. Solution
          1. Practice Problem 7
        4. Application
          1. Solution
            1. Practice Problem 8
      5. Section 3.3 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    5. Section 3.4 The Real Zeros of a Polynomial Function
      1. Before Starting this Section, Review
      2. Objectives
      3. Real Zeros of a Polynomial Function
      4. Rational Zeros Theorem
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
      5. Descartes’s Rule of Signs
        1. Solution
          1. Practice Problem 3
      6. Bounds on the Real Zeros
        1. Solution
          1. Practice Problem 4
      7. Find the Real Zeros of a Polynomial Function
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
      8. Section 3.4 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    6. Section 3.5 The Complex Zeros of a Polynomial Function
      1. Before Starting this Section, Review
      2. Objectives
      3. Solution
        1. Practice Problem 1
      4. Conjugate Pairs Theorem
        1. Solution
          1. Practice Problem 2
        2. Solution
          1. Practice Problem 3
        3. Solution
          1. Practice Problem 4
      5. Section 3.5 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Beyond the Basics
        4. Critical Thinking / Discussion / Writing
        5. Getting Ready for the Next Section
    7. Section 3.6 Rational Functions
      1. Before Starting this Section, Review
      2. Objectives
      3. Rational Functions
        1. Solution
          1. Practice Problem 1
      4. Vertical and Horizontal Asymptotes
      5. Translations of f(x)=1x
        1. Solution
          1. Practice Problem 2
        2. Solution
          1. Practice Problem 3
        3. Solution
          1. Practice Problem 4
        4. Solution
          1. Practice Problem 5
      6. Graphing Rational Functions
        1. Practice Problem 6
          1. Solution
        2. Practice Problem 7
          1. Solution
        3. Practice Problem 8
      7. Oblique Asymptotes
        1. Solution
          1. Practice Problem 9
      8. Graph of a Revenue Curve
        1. Solution
          1. Practice Problem 10
      9. Section 3.6 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    8. Section 3.7 Variation
      1. Before Starting this Section, Review
      2. Objectives
      3. Direct Variation
        1. Practice Problem 1
          1. Solution
        2. Practice Problem 2
          1. Solution
        3. Practice Problem 3
      4. Inverse Variation
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
      5. Joint and Combined Variation
        1. Solution
          1. Practice Problem 6
      6. Section 3.7 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    9. Chapter 3 Review and Tests
      1. Review
    10. Review Exercises
      1. Building Skills
      2. Applying the Concepts
    11. Practice Test A
    12. Practice Test B
    13. Cumulative Review Exercises Chapters P–3
  15. Chapter 4 Exponential and Logarithmic Functions
    1. Topics
    2. Section 4.1 Exponential Functions
      1. Before Starting this Section, Review
      2. Objectives
      3. Exponential Functions
      4. Evaluate Exponential Functions
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
      5. Graphing Exponential Functions
        1. Solution
          1. Practice Problem 3
      6. Transformations on Exponential Functions
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
        3. Solution
          1. Practice Problem 6
      7. Simple Interest
        1. Solution
          1. Practice Problem 7
      8. Compound Interest
        1. Solution
          1. Practice Problem 8
        2. Solution
          1. Practice Problem 9
        3. Solution
          1. Practice Problem 10
      9. Continuous Compound Interest Formula
        1. Continuous Compounding
          1. Solution
            1. Practice Problem 11
      10. The Natural Exponential Function
      11. Exponential Growth and Decay
        1. Solution
          1. Practice Problem 12
        2. Solution
          1. Practice Problem 13
      12. Section 4.1 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    3. Section 4.2 Logarithmic Functions
      1. Before Starting this Section, Review
      2. Objectives
      3. Logarithmic Functions
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
      4. Evaluating Logarithms
        1. Solution
          1. Practice Problem 3
      5. Basic Properties of Logarithms
        1. Solution
          1. Practice Problem 4
      6. Domains of Logarithmic Functions
        1. Solution
          1. Practice Problem 5
      7. Graphs of Logarithmic Functions
        1. Practice Problem 6
        2. Solution
          1. Practice Problem 7
        3. Solution
          1. Practice Problem 8
      8. Common Logarithm
        1. Solution
          1. Practice Problem 9
      9. Natural Logarithm
        1. Solution
          1. Practice Problem 10
      10. Investments
        1. Solution
          1. Practice Problem 11
      11. Newton’s Law of Cooling
        1. Solution
          1. Practice Problem 12
      12. Section 4.2 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    4. Section 4.3 Rules of Logarithms
      1. Before Starting this Section, Review
      2. Objectives
      3. Rules of Logarithms
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
      4. Number of Digits
        1. Solution
          1. Practice Problem 4
      5. Change of Base
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
      6. Growth and Decay
      7. Half-Life
        1. Solution
          1. Practice Problem 7
      8. Radiocarbon Dating
        1. Solution
          1. Practice Problem 8
      9. Section 4.3 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    5. Section 4.4 Exponential and Logarithmic Equations and Inequalities
      1. Before Starting this Section, Review
      2. Objectives
      3. Solving Exponential Equations
        1. Solution
          1. Practice Problem 1
        2. Practice Problem 2
          1. Solution
        3. Practice Problem 3
          1. Solution
        4. Practice Problem 4
      4. Applications of Exponential Equations
        1. Solution
          1. Practice Problem 5
      5. Solving Logarithmic Equations
        1. Practice Problem 6
          1. Solution
        2. Practice Problem 7
          1. Solution
        3. Practice Problem 8
          1. Solution
        4. Practice Problem 9
      6. Logarithmic and Exponential Inequalities
        1. Solution
          1. Practice Problem 10
        2. Solution
          1. Practice Problem 11
      7. Section 4.4 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    6. Section 4.5 Logarithmic Scales; Modeling
      1. Before Starting this Section, Review
      2. Objectives
      3. pH Scale
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
      4. Earthquake Intensity
        1. Solution
          1. Practice Problem 3
        2. Solution
          1. Practice Problem 4
        3. Energy of an Earthquake
          1. Solution
            1. Practice Problem 5
      5. Loudness of Sound
        1. Solution
          1. Practice Problem 6
        2. Solution
          1. Practice Problem 7
        3. Solution
          1. Practice Problem 8
      6. Musical Pitch
        1. Solution
          1. Practice Problem 9
        2. Solution
          1. Practice Problem 10
      7. Star Brightness
        1. Solution
          1. Practice Problem 11
      8. Modeling
        1. Solution
          1. Practice Problem 12
        2. Solution
          1. Practice Problem 13
      9. Section 4.5 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
    7. Chapter 4 Review and Tests
      1. Review
    8. Review Exercises
      1. Concepts and Vocabulary
      2. Building Skills
      3. Applying the Concepts
    9. Practice Test A
    10. Practice Test B
    11. Cumulative Review Exercises Chapters P–4
  16. Chapter 5 Systems of Equations and Inequalities
    1. Topics
    2. Section 5.1 Systems of Linear Equations in Two Variables
      1. Before Starting this Section, Review
      2. Objectives
      3. System of Equations
        1. Solution
          1. Practice Problem 1
      4. Graphical Method
        1. Solution
          1. Practice Problem 2
      5. Substitution Method
        1. Practice Problem 3
          1. Solution
        2. Practice Problem 4
          1. Solution
        3. Practice Problem 5
      6. Elimination Method
        1. Practice Problem 6
          1. Solution
        2. Practice Problem 7
      7. Applications
        1. Solution
          1. Practice Problem 8
        2. Solution
          1. Practice Problem 9
      8. Section 5.1 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    3. Section 5.2 Systems of Linear Equations in Three Variables
      1. Before Starting this Section, Review
      2. Objectives
      3. Systems of Linear Equations
        1. Solution
          1. Practice Problem 1
        2. Practice Problem 2
      4. Number of Solutions of a Linear System
        1. Solution
          1. Practice Problem 3
        2. Solution
          1. Practice Problem 4
      5. Nonsquare Systems
        1. Solution
          1. Practice Problem 5
      6. Geometric Interpretation
      7. An Application to CAT Scans
        1. Solution
          1. Practice Problem 6
      8. Section 5.2 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    4. Section 5.3 Partial-Fraction Decomposition
      1. Before Starting this Section, Review
      2. Objectives
      3. Partial Fractions
      4. Q(x) Has Only Distinct Linear Factors
        1. Practice Problem 1
          1. Solution
        2. Practice Problem 2
      5. Q(x) Has Repeated Linear Factors
        1. Solution
          1. Practice Problem 3
        2. Solution
          1. Practice Problem 4
      6. Q(x) Has Distinct Irreducible Quadratic Factors
        1. Solution
          1. Practice Problem 5
      7. Q(x) Has Repeated Irreducible Quadratic Factors
        1. Solution
          1. Practice Problem 6
        2. Solution
          1. Practice Problem 7
        3. Solution
          1. Practice Problem 8
      8. Section 5.3 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    5. Section 5.4 Systems of Nonlinear Equations
      1. Before Starting this Section, Review
      2. Objectives
      3. Systems of Nonlinear Equations
      4. Solving Systems of Nonlinear Equations by Substitution
        1. Solution
          1. Practice Problem 1
      5. Solving Systems of Nonlinear Equations by Elimination
        1. Solution
          1. Practice Problem 2
      6. Applications
        1. Solution
          1. Practice Problem 3
      7. Section 5.4 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    6. Section 5.5 Systems of Inequalities
      1. Before Starting this Section, Review
      2. Objectives
      3. Graph of a Linear Inequality in Two Variables
        1. Solution
          1. Practice Problem 1
        2. Practice Problem 2
          1. Solution
        3. Practice Problem 3
      4. Systems of Linear Inequalities in Two Variables
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
      5. Nonlinear Inequality
        1. Practice Problem 6
      6. Nonlinear Systems
        1. Solution
          1. Practice Problem 7
      7. Section 5.5 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    7. Section 5.6 Linear Programming
      1. Before Starting this Section, Review
      2. Objectives
      3. Linear Programming
      4. Solving Linear Programming Problems
        1. Practice Problem 1
          1. Solution
        2. Practice Problem 2
      5. Applications
        1. Solution
          1. Practice Problem 3
      6. Section 5.6 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    8. Chapter 5 Review and Tests
      1. Review
      2. Review Exercises
        1. Building Skills
        2. Applying the Concepts
      3. Practice Test A
      4. Practice Test B
      5. Cumulative Review Exercises Chapters P–5
  17. Chapter 6 Matrices and Determinants
    1. Topics
    2. Section 6.1 Matrices and Systems of Equations
      1. Before Starting this Section, Review
      2. Objectives
      3. Definition of a Matrix
        1. Solution
          1. Practice Problem 1
      4. Using Matrices to Solve Linear Systems
        1. Solution
          1. Practice Problem 2
        2. Solution
          1. Practice Problem 3
        3. Solution
          1. Practice Problem 4
      5. Gaussian Elimination
        1. Practice Problem 5
          1. Solution
        2. Practice Problem 6
          1. Solution
        3. Practice Problem 7
      6. Gauss–Jordan Elimination
        1. Solution
          1. Practice Problem 8
        2. Solution
          1. Practice Problem 9
        3. Solution
          1. Practice Problem 10
      7. Section 6.1 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    3. Section 6.2 Matrix Algebra
      1. Before Starting this Section, Review
      2. Objectives
      3. Equality of Matrices
        1. Solution
          1. Practice Problem 1
      4. Matrix Addition and Scalar Multiplication
        1. Solution
          1. Practice Problem 2
        2. Solution
          1. Practice Problem 3
        3. Solution
          1. Practice Problem 4
      5. Matrix Multiplication
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
        3. Solution
          1. Practice Problem 7
        4. Solution
          1. Practice Problem 8
        5. Solution
          1. Practice Problem 9
      6. Computer Graphics
        1. Solution
          1. Practice Problem 10
      7. Section 6.2 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    4. Section 6.3 The Matrix Inverse
      1. Before Starting this Section, Review
      2. Objectives
      3. The Multiplicative Inverse of a Matrix
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
      4. Finding the Inverse of a Matrix
        1. Solution
          1. Practice Problem 3
        2. Solution
          1. Practice Problem 4
      5. A Rule for Finding the Inverse of a 2×2 Matrix
        1. Solution
          1. Practice Problem 5
      6. Solving Systems of Linear Equations by Using Matrix Inverses
        1. Solution
          1. Practice Problem 6
      7. Applications of Matrix Inverses
        1. The Leontief Input–Output Model
          1. Solution
            1. Practice Problem 7
      8. Cryptography
        1. Solution
          1. Practice Problem 8
      9. Section 6.3 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    5. Section 6.4 Determinants and Cramer’s Rule Determinants and Cramer’s Rule
      1. Before Starting this Section, Review
      2. Objectives
      3. The Determinant of a 2×2 Matrix
        1. Solution
          1. Practice Problem 1
      4. Minors and Cofactors
        1. Solution
          1. Practice Problem 2
      5. The Determinant of an n×n Matrix
        1. Solution
          1. Practice Problem 3
      6. Cramer’s Rule
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
      7. Applications
        1. Solution
          1. Practice Problem 6
      8. Section 6.4 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    6. Chapter 6 Review and Tests
      1. Review
    7. Review Exercises
      1. Concepts and Vocabulary
      2. Applying the Concepts
    8. Practice Test A
    9. Practice Test B
    10. Cumulative Review Exercises Chapters P–6
  18. Chapter 7 Conic Sections
    1. Topics
    2. Section 7.1 Conic Sections: Overview
    3. Section 7.2 The Parabola
      1. Before Starting this Section, Review
      2. Objectives
      3. Geometric Definition of a Parabola
      4. Equation of a Parabola
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
      5. Translations of Parabolas
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
        3. Solution
          1. Practice Problem 6
      6. Reflecting Property of Parabolas
        1. Solution
          1. Practice Problem 7
      7. Section 7.2 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    4. Section 7.3 The Ellipse
      1. Before Starting this Section, Review
      2. Objectives
      3. Definition of Ellipse
      4. Equation of an Ellipse
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
      5. Translations of Ellipses
        1. Solution
          1. Practice Problem 3
        2. Solution
          1. Practice Problem 4
        3. Solution
          1. Practice Problem 5
      6. Applications
        1. Solution
          1. Practice Problem 6
      7. Section 7.3 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    5. Section 7.4 The Hyperbola
      1. Before Starting this Section, Review
      2. Objectives
      3. Definition of Hyperbola
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
      4. The Asymptotes of a Hyperbola
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
      5. Graphing a Hyperbola with Center (0, 0)
        1. Practice Problem 6
      6. Translations of Hyperbolas
        1. Solution
          1. Practice Problem 7
        2. Solution
          1. Practice Problem 8
      7. Applications
        1. Solution
          1. Practice Problem 9
      8. Section 7.4 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
    6. Chapter 7 Review and Tests
      1. Review
    7. Review Exercises
    8. Practice Test A
    9. Practice Test B
    10. Cumulative Review Exercises Chapters P–7
  19. Chapter 8 Further Topics in Algebra
    1. Topics
    2. Section 8.1 Sequences and Series
      1. Before Starting this Section, Review
      2. Objectives
      3. Sequences
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
      4. Recursive Formulas
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
      5. Factorial Notation
        1. Solution
          1. Practice Problem 6
        2. Solution
          1. Practice Problem 7
      6. Summation Notation
        1. Solution
          1. Practice Problem 8
      7. Series
        1. Solution
          1. Practice Problem 9
      8. Section 8.1 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    3. Section 8.2 Arithmetic Sequences; Partial Sums
      1. Before Starting this Section, Review
      2. Objectives
      3. Arithmetic Sequence
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
        4. Solution
          1. Practice Problem 4
      4. Sum of a Finite Arithmetic Sequence
        1. Solution
          1. Practice Problem 5
        2. Solution
          1. Practice Problem 6
      5. Section 8.2 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    4. Section 8.3 Geometric Sequences and Series
      1. Before Starting this Section, Review
      2. Objectives
      3. Geometric Sequence
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
        4. Solution
          1. Practice Problem 4
        5. Solution
          1. Practice Problem 5
        6. Solution
          1. Practice Problem 6
      4. Finding the Sum of a Finite Geometric Sequence
        1. Solution
          1. Practice Problem 7
      5. Annuities
        1. Solution
          1. Practice Problem 8
      6. Infinite Geometric Series
        1. Solution
          1. Practice Problem 9
        2. Solution
          1. Practice Problem 10
      7. Section 8.3 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    5. Section 8.4 Mathematical Induction
      1. Before Starting this Section, Review
      2. Objective
      3. Mathematical Induction
      4. Determining the Statement Pk+1 from the Statement Pk
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
      5. Section 8.4 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    6. Section 8.5 The Binomial Theorem
      1. Before Starting this Section, Review
      2. Objectives
      3. Pascal’s Triangle
        1. Solution
          1. Practice Problem 1
      4. The Binomial Theorem
        1. Solution
          1. Practice Problem 2
        2. Solution
          1. Practice Problem 3
      5. Binomial Coefficients
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
        3. Solution
          1. Practice Problem 6
      6. Section 8.5 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Beyond the Basics
        4. Critical Thinking / Discussion / Writing
        5. Getting Ready for the Next Section
    7. Section 8.6 Counting Principles
      1. Before Starting this Section, Review
      2. Objectives
      3. Fundamental Counting Principle
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
      4. Permutations
        1. Solution
          1. Practice Problem 4
        2. Solution
          1. Practice Problem 5
        3. Solution
          1. Practice Problem 6
      5. Combinations
        1. Solution
          1. Practice Problem 7
        2. Solution
          1. Practice Problem 8
        3. Solution
          1. Practice Problem 9
      6. Distinguishable Permutations
        1. Solution
          1. Practice Problem 10
      7. Deciding Whether to Use Permutations, Combinations, or the Fundamental Counting Principle
      8. Section 8.6 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
    8. Section 8.7 Probability
      1. Before Starting this Section, Review
      2. Objectives
      3. The Probability of an Event
        1. Solution
          1. Practice Problem 1
        2. Solution
          1. Practice Problem 2
        3. Solution
          1. Practice Problem 3
        4. Solution
          1. Practice Problem 4
      4. The Additive Rule
      5. Mutually Exclusive Events
        1. Solution
          1. Practice Problem 5
      6. The Complement of an Event
        1. Solution
          1. Practice Problem 6
      7. Experimental Probabilities
        1. Solution
          1. Practice Problem 7
      8. Section 8.7 Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
    9. Chapter 8 Review and Tests
      1. Review
    10. Review Exercises
    11. Practice Test A
    12. Practice Test B
    13. Cumulative Review Exercises Chapters P–8
  20. Answers
    1. Chapter P
      1. Section P.1
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      2. Section P.2
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      3. Section P.3
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      4. Section P.4
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      5. Section P.5
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      6. Section P.6
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      7. Review Exercises
        1. Applying the Concepts
      8. Practice Test
    2. Chapter 1
      1. Section 1.1
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
      2. Section 1.2
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
      3. Section 1.3
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      4. Section 1.4
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
      5. Section 1.5
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
      6. Section 1.6
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
      7. Section 1.7
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
      8. Review Exercises
        1. Building Skills
        2. Applying the Concepts
      9. Practice Test A
      10. Practice Test B
    3. Chapter 2
      1. Section 2.1
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      2. Section 2.2
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      3. Section 2.3
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      4. Section 2.4
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
      5. Section 2.5
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      6. Section 2.6
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      7. Section 2.7
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      8. Section 2.8
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      9. Section 2.9
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      10. Review Exercises
        1. Applying the Concepts
      11. Practice Test A
      12. Practice Test B
      13. Cumulative Review Exercises (Chapters P–2)
    4. Chapter 3
      1. Section 3.1
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      2. Section 3.2
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      3. Section 3.3
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      4. Section 3.4
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      5. Section 3.5
        1. Concepts and Vocabulary
        2. Building Skills
        3. Beyond the Basics
        4. Critical Thinking / Discussion / Writers
        5. Getting Ready for the Next Section
      6. Section 3.6
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      7. Section 3.7
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      8. Review Exercises
        1. Building Skills
        2. Applying the Concepts
      9. Practice Test A
      10. Practice Test B
      11. Cumulative Review Exercises (Chapters P–3)
    5. Chapter 4
      1. Section 4.1
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concept
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      2. Section 4.2
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      3. Section 4.3
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      4. Section 4.4
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      5. Section 4.5
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      6. Review Exercises
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
      7. Practice Test A
      8. Practice Test B
      9. Cumulative Review Exercises (Chapters P–4)
    6. Chapter 5
      1. Section 5.1
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Getting Ready for the Next Section
      2. Section 5.2
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      3. Section 5.3
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      4. Section 5.4
        1. Basic Concepts and Skills
        2. Applying the Concepts
        3. Beyond the Basics
        4. Critical Thinking / Discussion / Writing
        5. Getting Ready for the Next Section
      5. Section 5.5
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      6. Section 5.6
        1. Basic Concepts and Skills
        2. Applying the Concepts
        3. Beyond the Basics
        4. Critical Thinking / Discussion / Writing
        5. Getting Ready for the Next Section
      7. Review Exercises
        1. Building Skills
        2. Applying the Concepts
      8. Practice Test A
      9. Practice Test B
      10. Cumulative Review Exercises (Chapters P–8)
    7. Chapter 6
      1. Section 6.1
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Getting Ready for the Next Section
      2. Section 6.2
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      3. Section 6.3
        1. Building Skills
        2. Applying the Concepts
        3. Beyond the Basics
        4. Critical Thinking / Discussion / Writing
        5. Getting Ready for the Next Section
      4. Section 6.4
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
        7. Review Exercises
        8. Practice Test A
        9. Practice Test B
        10. Cumulative Review Exercises (Chapters P–9)
    8. Chapter 7
      1. Section 7.2
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      2. Section 7.3
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      3. Section 7.4
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking / Discussion / Writing
        6. Getting Ready for the Next Section
      4. Review Exercises
      5. Practice Test A
      6. Practice Test B
      7. Cumulative Review Exercises (Chapters P–7)
    9. Chapter 8
      1. Section 8.1
        1. Concepts and Vocabulary
        2. Applying the Concepts
        3. Beyond the Basics
        4. Critical Thinking/Discussion/Writing
        5. Getting Ready for the Next Section
      2. Section 8.2
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
      3. Section 8.3
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
        6. Getting Ready for the Next Section
      4. Section 8.4
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Getting Ready for the Next Section
      5. Section 8.5
        1. Concepts and Vocabulary
        2. Building Skills
        3. Beyond the Basics
        4. Getting Ready for the Next Section
      6. Section 8.6
        1. Concepts and Vocabulary
        2. Building Skills
        3. Beyond the Basics
        4. Critical Thinking/Discussion/Writing
        5. Getting Ready for the Next Section
      7. Section 8.7
        1. Concepts and Vocabulary
        2. Building Skills
        3. Applying the Concepts
        4. Beyond the Basics
        5. Critical Thinking/Discussion/Writing
      8. Review Exercises
      9. Practice Test A
      10. Practice Test B
      11. Cumulative Review Exercises (Chapters P–8)
  21. Credits
  22. Index
    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H
    9. I
    10. J
    11. K
    12. L
    13. M
    14. N
    15. O
    16. P
    17. Q
    18. R
    19. S
    20. T
    21. U
    22. V
    23. W
    24. X
    25. Y
    26. Z
  23. Algebra–Formulas and Definitions
  24. Geometry–Formulas

Product information

  • Title: College Algebra, 4th Edition
  • Author(s): J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek
  • Release date: January 2018
  • Publisher(s): Pearson
  • ISBN: 9780136747925