Introductory & Intermediate Algebra, 6th edition

  • Margaret L. Lial, 
  • John Hornsby, 
  • Terry McGinnis

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For courses in Beginning & Intermediate Algebra.


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

ISBN-13: 9780137553358

Subject: Developmental Math

Category: Beginning & Intermediate Algebra Combined


Table of Contents

  • R. Prealgebra Review
  • R.1 Fractions
  • R.2 Decimals and Percents
  • Study Skills Using Your Math Text
  1. The Real Number System
    • 1.1 Exponents, Order of Operations, and Inequality
      • Study Skills Taking Lecture Notes
    • 1.2 Variables, Expressions, and Equations
      • Study Skills Reading Your Math Text
    • 1.3 Real Numbers and the Number Line
      • Study Skills Using Study Cards
    • 1.4 Adding Real Numbers
    • 1.5 Subtracting Real Numbers
      • Study Skills Completing Your Homework
    • 1.6 Multiplying and Dividing Real Numbers
      • Summary Exercises Performing Operations with Real Numbers
    • 1.7 Properties of Real Numbers
    • 1.8 Simplifying Expressions
      • Study Skills Reviewing a Chapter
  2. Equations, Inequalities, and Applications
    • 2.1 The Addition Property of Equality
      • Study Skills Managing Your Time
    • 2.2 The Multiplication Property of Equality
    • 2.3 More on Solving Linear Equations
      • Study Skills Using Study Cards Revisited
      • Summary Exercises Applying Methods for Solving Linear Equations
    • 2.4 An Introduction to Applications of Linear Equations
    • 2.5 Formulas and Additional Applications from Geometry
    • 2.6 Ratio, Proportion, and Percent
      • Summary Exercises Applying Problem-Solving Techniques
    • 2.7 Solving Linear Inequalities
      • Study Skills Taking Math Tests
  3. Graphs of Linear Equations and Inequalities in Two Variables
    • 3.1 Linear Equations and Rectangular Coordinates
      • Study Skills Analyzing Your Test Results
    • 3.2 Graphing Linear Equations in Two Variables
    • 3.3 The Slope of a Line
    • 3.4 Slope-Intercept Form of a Linear Equation
    • 3.5 Point-Slope Form of a Linear Equation and Modeling
      • Summary Exercises Applying Graphing and
      • Equation-Writing Techniques for Lines
      • Study Skills Preparing for Your Math Final Exam
    • 3.6 Graphing Linear Inequalities in Two Variables
  4. Systems of Linear Equations and Inequalities
    • 4.1 Solving Systems of Linear Equations by Graphing
    • 4.2 Solving Systems of Linear Equations by Substitution
    • 4.3 Solving Systems of Linear Equations by Elimination
      • Summary Exercises Applying Techniques for Solving Systems of Linear Equations
    • 4.4 Applications of Linear Systems
    • 4.5 Solving Systems of Linear Inequalities
  5. Exponents and Polynomials
    • 5.1 The Product Rule and Power Rules for Exponents
    • 5.2 Integer Exponents and the Quotient Rule
      • Summary Exercises Applying the Rules for Exponents
    • 5.3 An Application of Exponents: Scientific Notation
    • 5.4 Adding and Subtracting Polynomials
    • 5.5 Multiplying Polynomials
    • 5.6 Special Products
    • 5.7 Dividing a Polynomial by a Monomial
    • 5.8 Dividing a Polynomial by a Polynomial
  6. Factoring and Applications
    • 6.1 Greatest Common Factors; Factor by Grouping
    • 6.2 Factoring Trinomials
    • 6.3 Factoring Trinomials by Grouping
    • 6.4 Factoring Trinomials Using the FOIL Method
    • 6.5 Special Factoring Techniques
    • 6.6 A General Approach to Factoring
    • 6.7 Solving Quadratic Equations Using the Zero-Factor Property
    • 6.8 Applications of Quadratic Equations
  7. Rational Expressions and Applications
    • 7.1 The Fundamental Property of Rational Expressions
    • 7.2 Multiplying and Dividing Rational Expressions
    • 7.3 Least Common Denominators
    • 7.4 Adding and Subtracting Rational Expressions
    • 7.5 Complex Fractions
    • 7.6 Solving Equations with Rational Expressions
      • Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations
    • 7.7 Applications of Rational Expressions
    • 7.8 Variation
  8. Equations, Inequalities, Graphs, and Systems Revisited
    • 8.1 Review of Solving Linear Equations and Inequalities in one Variable
    • 8.2 Set Operations and Compound Inequalities
    • 8.3 Absolute Value Equations and Inequalities
      • Summary Exercises Solving Linear and Absolute Value Equations and Inequalities
    • 8.4 Review of Graphing Linear Equations in Two Variables; Slope
    • 8.6 Systems of Linear Equations in Three Variables; Applications
  9. Relations and Functions
    • 9.1 Introduction to Relations and Functions
    • 9.2 Function Notation and Linear Functions
    • 9.3 Polynomial Functions, Operations, and Graphs
    • 9.4 Variation
  10. Roots, Radicals, and Root Functions
    • 10.1 Radical Expressions and Graphs
    • 10.2 Rational Exponents
    • 10.3 Simplifying Radical Expressions
    • 10.4 Adding and Subtracting Radical Expressions
    • 10.5 Multiplying and Dividing Radical Expressions
      • Summary Exercises Performing Operations with Radicals and Rational Exponents
    • 10.6 Solving Equations with Radicals
    • 10.7 Complex Numbers
  11. Quadratic Equations, Inequalities, and Functions
    • 11.1 Solving Quadratic Equations by the Square Root Property
    • 11.2 Solving Quadratic Equations by Completing the Square
    • 11.3 Solving Quadratic Equations by the Quadratic Formula
    • 11.4 Equations Quadratic in Form
      • Summary Exercises Applying Methods for Solving Quadratic Equations
    • 11.5 Formulas and Further Applications
    • 11.6 Graphs of Quadratic Functions
    • 11.7 More about Parabolas and Their Applications
    • 11.8 Polynomial and Rational Inequalities
  12. Inverse, Exponential, and Logarithmic Functions
    • 12.1 Composition of Functions
    • 12.2 Inverse Functions
    • 12.3 Exponential Functions
    • 12.4 Logarithmic Functions
    • 12.5 Properties of Logarithms
    • 12.6 Common and Natural Logarithms
    • 12.7 Exponential and Logarithmic Equations and Their Applications
  13. Nonlinear Functions, Conic Sections, and Nonlinear Systems
    • 13.1 Additional Graphs of Functions
    • 13.2 Circles and Ellipses
    • 13.3 Hyperbolas and Functions Defined by Radicals
    • 13.4 Nonlinear Systems of Equations
    • 13.5 Second-Degree Inequalities and Systems of Inequalities

Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra)

Appendix B: Synthetic Division

Appendix C: Solving Systems of Linear Equations by Matrix Methods

Answers to Selected Exercises


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