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Elementary & Intermediate Algebra, 4th edition

  • Michael Sullivan
  • , Katherine R. Struve
  • , Janet Mazzarella

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For courses in Elementary and Intermediate Algebra

 

Helping Students Innovatively "Do the Math"

The Sullivan Elementary & Intermediate Developmental Math Series, 4th Edition introduces students to the logic, precision and rigor of mathematics, while building a foundation for success in future math courses.

 

Known for their hallmark examples that give students extra step-by-step support, the authors have continued their successful text pedagogy and have focused in the revision to translating it to the MyMathLab course for a truly dynamic learning and teaching experience. Key revisions to the MyLab™ Math course include guided “How To” exercises, modeled on the successful Show Case examples and new GeoGebra applet exercises.

 

The Sullivan team has revised their MyLab Math course to ensure that students are getting the most of the resources they have at their disposal. For example, they offer an enhanced e-text that allows students to easily and quickly refer back to a specific page for examples. To encourage students outside of the classroom, the author team developed a MyLab Math that helps them develop good study skills, garner an understanding of the connections between topics, and work smarter in the process.

 

Also available with MyLab Math.

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.


Students, if interested in purchasing this title with MyLab Math, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. 

Published by Pearson (July 14th 2021) - Copyright © 2018

ISBN-13: 9780137506101

Subject: Developmental Math

Category: Beginning & Intermediate Algebra Combined

Table of Contents

  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