Beginning And Intermediate Algebra

Hardcover | January 21, 2015

byMargaret 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.

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0321969251 / 9780321969255     Beginning and Intermediate Algebra plus MyMathLab -- Access Card Package
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0321969162 / 9780321969163     Beginning and Intermediate Algebra


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From the Publisher

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 tea...

Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is affiliated with A...
Format:HardcoverDimensions:936 pages, 10.9 × 8.7 × 1.4 inPublished:January 21, 2015Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0321969162

ISBN - 13:9780321969163

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Extra Content

Table of Contents


            Study Skills: Using Your Math Textbook


R. Prealgebra Review

R.1 Fractions

R.2 Decimals and Percents

            Study Skills: Reading Your Math Textbook


1. The Real Number System

1.1 Exponents, Order of Operations, and Inequality

            Study Skills: Taking Lecture Notes

1.2 Variables, Expressions, and Equations

1.3 Real Numbers and the Number Line

            Study Skills: Completing Your Homework

1.4 Adding and Subtracting Real Numbers

            Study Skills: Using Study Cards

1.5 Multiplying and Dividing Real Numbers

            Summary Exercises: Performing Operations with Real Numbers

1.6 Properties of Real Numbers

1.7 Simplifying Expressions

            Study Skills: Reviewing a Chapter

            Chapter 1 Summary

            Chapter 1 Review Exercises

            Chapter 1 Mixed Review Exercises

            Chapter 1 Test


2. Linear Equations and Inequalities in One Variable

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 Applications of Linear Equations

2.5 Formulas and Additional Applications from Geometry

2.6 Ratio, Proportion, and Percent

2.7 Further Applications of Linear Equations

2.8 Solving Linear Inequalities

            Study Skills: Taking Math Tests

            Chapter 2 Summary

            Chapter 2 Review Exercises

            Chapter 2 Mixed Review Exercises

            Chapter 2 Test

            Chapters R–2 Cumulative Review Exercises


3. 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

            Study Skills: Preparing for Your Math Final Exam

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

            Chapter 3 Summary

            Chapter 3 Review Exercises

            Chapter 3 Mixed Review Exercises

            Chapter 3 Test

            Chapters R–3 Cumulative Review Exercises


4. Exponents and Polynomials

4.1 The Product Rule and Power Rules for Exponents

4.2 Integer Exponents and the Quotient Rule

            Summary Exercises: Applying the Rules for Exponents

4.3 Scientific Notation

4.4 Adding, Subtracting, and Graphing Polynomials

4.5 Multiplying Polynomials

4.6 Special Products

4.7 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 and Applications

5.1 The Greatest Common Factor; Factoring by Grouping

5.2 Factoring Trinomials

5.3 More on Factoring Trinomials

5.4 Special Factoring Techniques

            Summary Exercises: Recognizing and Applying Factoring Strategies

5.5 Solving Quadratic Equations Using the Zero-Factor Property

5.6 Applications of Quadratic Equations

            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 Applications

6.1 The Fundamental Property of Rational Expressions

6.2 Multiplying and Dividing Rational Expressions

6.3 Least Common Denominators

6.4 Adding and Subtracting Rational Expressions

6.5 Complex Fractions

6.6 Solving Equations with Rational Expressions

            Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations

6.7 Applications of Rational Expressions

            Chapter 6 Summary

            Chapter 6 Review Exercises

            Chapter 6 Mixed Review Exercises

            Chapter 6 Test

            Chapters R–6 Cumulative Review Exercises


7. Graphs, Linear Equations, and Systems

7.1 Review of Graphs and Slopes of Lines

7.2 Review of Equations of Lines; Linear Models

7.3 Solving Systems of Linear Equations by Graphing

7.4 Solving Systems of Linear Equations by Substitution

7.5 Solving Systems of Linear Equations by Elimination

            Summary Exercises: Applying Techniques for Solving Systems of Linear Equations

7.6 Systems of Linear Equations in Three Variables

7.7 Applications of Systems of Linear Equations

            Chapter 7 Summary

            Chapter 7 Review Exercises

            Chapter 7 Mixed Review Exercises

            Chapter 7 Test

            Chapters R–7 Cumulative Review Exercises


8. Inequalities and Absolute Value

8.1 Review of Linear 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 Linear Inequalities and Systems in Two Variables

            Chapter 8 Summary

            Chapter 8 Review Exercises

            Chapter 8 Mixed Review Exercises

            Chapter 8 Test

            Chapters R–8 Cumulative Review Exercises


9. Relations and Functions

9.1 Introduction to Relations and Functions

9.2 Function Notation and Linear Functions

9.3 Polynomial Functions, Operations, and Composition

9.4 Variation

            Chapter 9 Summary

            Chapter 9 Review Exercises

            Chapter 9 Mixed Review Exercises

            Chapter 9 Test

            Chapters R–9 Cumulative Review Exercises


10. Roots, Radicals, and Root Functions

10.1 Radical Expressions and Graphs

10.2 Rational Exponents

10.3 Simplifying Radicals, the Distance Formula, and Circles

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

            Chapter 10 Summary

            Chapter 10 Review Exercises

            Chapter 10 Mixed Review Exercises

            Chapter 10 Test

            Chapters R–10 Cumulative Review Exercises


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 Solving 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

            Chapter 11 Summary

            Chapter 11 Review Exercises

            Chapter 11 Mixed Review Exercises

            Chapter 11 Test

            Chapters R–11 Cumulative Review Exercises


12. Inverse, Exponential, and Logarithmic Functions

12.1 Inverse Functions

12.2 Exponential Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithms

12.5 Common and Natural Logarithms

12.6 Exponential and Logarithmic Equations; Further Applications

            Chapter 12 Summary

            Chapter 12 Review Exercises

            Chapter 12 Mixed Review Exercises

            Chapter 12 Test

            Chapters R–12 Cumulative Review Exercises


13. Nonlinear Functions, Conic Sections, and Nonlinear Systems (Online eText Only)

13.1 Additional Graphs of Functions

13.2 The Circle and the Ellipse

13.3 The Hyperbola and Functions Defined by Radicals

13.4 Nonlinear Systems of Equations

13.5 Second-Degree Inequalities and Systems of Inequalities

            Chapter 13 Summary

            Chapter 13 Review Exercises

            Chapter 13 Mixed Review Exercises

            Chapter 13 Test

            Chapters R--13 Cumulative Review Exercises


14. Sequences and Series (Online eText Only)

14.1 Sequences and Series

14.2 Arithmetic Sequences

14.3 Geometric Sequences

14.4 The Binomial Theorem

            Chapter 14 Summary

            Chapter 14 Review Exercises

            Chapter 14 Mixed Review Exercises

            Chapter 14 Test

            Chapters R--14 Cumulative Review Exercises


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

Appendix B: Synthetic Division

Appendix C: Determinants and Cramer's Rule


Answers to Selected Exercises