Intermediate Algebra, 4th edition

Published by Pearson (August 1, 2021) © 2018

  • Michael Sullivan Chicago State University
  • Katherine R. Struve

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ISBN-13: 9780137517350
Intermediate Algebra
Published 2021

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Intermediate Algebra introduces you to the logic, precision and rigor of mathematics, while helping you build a foundation for future success. With examples and resources that provide step-by-step support, you'll have the tools you need to successfully "do the math".

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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