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Introductory & Intermediate Algebra, 6th edition

Published by Pearson (July 14, 2021) © 2018

  • Margaret L. Lial American River College
  • John Hornsby University of New Orleans
  • Terry McGinnis
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For courses inBeginning & Intermediate Algebra.

The perfect combination to master concepts: student-friendly writing, well-crafted exercises, and superb support

The Lial Series has helped thousands of students succeed in developmental mathematics by combining clear, concise writing and examples with carefully crafted exercises to support skill development and conceptual understanding. Written with the developmental learner in mind, the precise, accessible writing style delivers help precisely when needed. The revision of the series faithfully continues to support students with enhancements in the text and MyLab™ Math course to encourage conceptual understanding beyond skills and procedures. Student-oriented features throughout the text and MyLab Math, including the Relating Concepts exercises, Guided Solutions, Test Your Word Power, and the Lial Video Library, make the Lial series one of the most well-rounded and student-friendly on the market.

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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

Index

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