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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ISBN-13: 9780137553358

Subject: Developmental Math

Category: Beginning & Intermediate Algebra Combined

R. Prealgebra Review
R.1 Fractions
R.2 Decimals and Percents
Study Skills Using Your Math Text

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
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
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
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
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
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
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
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
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
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
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
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
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

Introductory & Intermediate Algebra, 6th edition

Table of Contents

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