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Intermediate Algebra, 4th edition

Published by Pearson (August 1, 2021) © 2018

  • Michael Sullivan Chicago State University
  • Katherine R. Struve
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For courses in Precalculus.

Prepare. Practice. Review.

Michael Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. Precalculus, 11th Edition continues to evolve to meet the needs of today's students. The Sullivan series of texts prepares and supports students with access to help, where and when they require it. The hallmark Sullivan cycle of continuous preparation and retention, and the high-quality exercises that Sullivan texts are known for, give students the reinforcement they need. 

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

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