Intermediate Algebra, 12th edition

  • Margaret L. Lial
  • John Hornsby
  • Terry McGinnis

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Is there anything more beautiful than an “A” in Algebra? Not to the Lial team! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying resources with one goal in mind: giving students and teachers all the tools they need to achieve success. With this revision of the Lial Developmental Algebra Series, the team has further refined the presentation and exercises throughout the text. They offer several exciting new resources for students and teachers that will provide extra help when needed, regardless of the learning environment (traditional, lab-based, hybrid, online)—new study skills activities in the text, and more.

0321969340 / 9780321969347     Intermediate Algebra plus MyMathLab -- Access Card Package
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0321969359 / 9780321969354     Intermediate Algebra


Table of contents


            Study Skills: Using Your Math Textbook


R. Review of the Real Number System

R.1 Basic Concepts

R.2 Operations on Real Numbers

R.3 Exponents, Roots, and Order of Operations

R.4 Properties of Real Numbers

            Chapter R Summary

            Chapter R Test


            Study Skills: Reading Your Math Textbook


1. Linear Equations, Inequalities, and Applications

1.1 Linear Equations in One Variable

            Study Skills: Completing Your Homework

1.2 Formulas and Percent

            Study Skills: Taking Lecture Notes

1.3 Applications of Linear Equations

1.4 Further Applications of Linear Equations

            Summary Exercises: Applying Problem-Solving Techniques

1.5 Linear Inequalities in One Variable

            Study Skills: Using Study Cards

1.6 Set Operations and Compound Inequalities

            Study Skills: Using Study Cards Revisited

1.7 Absolute Value Equations and Inequalities

            Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities

            Study Skills: Reviewing a Chapter

            Chapter 1 Summary

            Chapter 1 Review Exercises

            Chapter 1 Mixed Review Exercises

            Chapter 1 Test


2. Linear Equations, Graphs, and Functions

2.1 Linear Equations in Two Variables

            Study Skills: Managing Your Time

2.2 The Slope of a Line

2.3 Writing Equations of Lines

            Study Skills: Taking Math Tests

            Summary Exercises: Finding Slopes and Equations of Lines

2.4 Linear Inequalities in Two Variables

2.5 Introduction to Relations and Functions

            Study Skills: Analyzing Your Test Results

2.6 Function Notation and Linear Functions

            Chapter 2 Summary

            Chapter 2 Review Exercises

            Chapter 2 Mixed Review Exercises

            Chapter 2 Test

            Chapters R–2 Cumulative Review Exercises


3. Systems of Linear Equations

3.1 Systems of Linear Equations in Two Variables

            Study Skills: Preparing for Your Math Final Exam

3.2 Systems of Linear Equations in Three Variables

3.3 Applications of Systems of Linear Equations

            Chapter 3 Summary

            Chapter 3 Review Exercises

            Chapter 3 Mixed Review Exercises

            Chapter 3 Test

            Chapters R–3 Cumulative Review Exercises


4. Exponents, Polynomials, and Polynomial Functions

4.1 Integer Exponents and Scientific Notation

4.2 Adding and Subtracting Polynomials

4.3 Polynomial Functions, Graphs, and Composition

4.4 Multiplying Polynomials

4.5 Dividing Polynomials

            Chapter 4 Summary

            Chapter 4 Review Exercises

            Chapter 4 Mixed Review Exercises

            Chapter 4 Test

            Chapters R–4 Cumulative Review Exercises


5. Factoring

5.1 Greatest Common Factors and Factoring by Grouping

5.2 Factoring Trinomials

5.3 Special Factoring

5.4 A General Approach to Factoring

5.5 Solving Equations by the Zero-Factor Property

            Chapter 5 Summary

            Chapter 5 Review Exercises

            Chapter 5 Mixed Review Exercises

            Chapter 5 Test

            Chapters R–5 Cumulative Review Exercises


6. Rational Expressions and Functions

6.1 Rational Expressions and Functions; Multiplying and Dividing

6.2 Adding and Subtracting Rational Expressions

6.3 Complex Fractions

6.4 Equations with Rational Expressions and Graphs

            Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations

6.5 Applications of Rational Expressions

6.6 Variation

            Chapter 6 Summary

            Chapter 6 Review Exercises

            Chapter 6 Mixed Review Exercises

            Chapter 6 Test

            Chapters R–6 Cumulative Review Exercises


7. Roots, Radicals, and Root Functions

7.1 Radical Expressions and Graphs

7.2 Rational Exponents

7.3 Simplifying Radicals, the Distance Formula, and Circles

7.4 Adding and Subtracting Radical Expressions

7.5 Multiplying and Dividing Radical Expressions

            Summary Exercises: Performing Operations with Radicals and Rational Exponents

7.6 Solving Equations with Radicals

7.7 Complex Numbers

            Chapter 7 Summary

            Chapter 7 Review Exercises

            Chapter 7 Mixed Review Exercises

            Chapter 7 Test

            Chapters R–7 Cumulative Review Exercises

8. Quadratic Equations, Inequalities, and Functions

8.1 The Square Root Property and Completing the Square

8.2 The Quadratic Formula

8.3 Equations Quadratic in Form

            Summary Exercises: Applying Methods for Solving Quadratic Equations

8.4 Formulas and Further Applications

8.5 Graphs of Quadratic Functions

8.6 More about Parabolas and Their Applications

8.7 Polynomial and Rational Inequalities

            Chapter 8 Summary

            Chapter 8 Review Exercises

            Chapter 8 Mixed Review Exercises

            Chapter 8 Test

            Chapters R–8 Cumulative Review Exercises


9. Inverse, Exponential, and Logarithmic Functions

9.1 Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithms

9.5 Common and Natural Logarithms

9.6 Exponential and Logarithmic Equations;

Further Applications

            Chapter 9 Summary

            Chapter 9 Review Exercises

            Chapter 9 Mixed Review Exercises

            Chapter 9 Test

            Chapters R–9 Cumulative Review Exercises


Appendix A: Synthetic Division

Answers to Selected Exercises





Published by Pearson (December 30th 2014) - Copyright © 2016