Beginning & Intermediate Algebra Plus NEW Integrated Review MyMathLab and Worksheets-Access Card Package

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  • Edition: 6th
  • Format: Package
  • Copyright: 3/1/2016
  • Publisher: Pearson

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About Lial/Hornsby/McGinnis’s Beginning & Intermediate Algebra, Sixth Edition:

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, an updated and expanded Lial Video Library (available in MyMathLab), and a new accompanying Lial Video Library Workbook (available in MyMathLab).




0134277856 / 9780134277851           Beginning & Intermediate Algebra Plus NEW Integrated Review MyMathLab and Worksheets-Access Card Package

Package consists of:

0134278607 / 9780134278605           Worksheets for Beginning & Intermediate Algebra with Integrated Review

0321431308 / 9780321431301           MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069           MyMathLab Inside Star Sticker

0321969162 / 9780321969163           Beginning and Intermediate Algebra

Author Biography

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 American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.


When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh), and has been an avid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.


A native Midwesterner, Terry McGinnis received her Bachelor’s of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.


Table of Contents

Prealgebra Review

R.1 Fractions

R.2 Decimals and Percents

Study Skills Reading Your Math Textbook


1. The Real Number System

  • Identify the place value of a digit
  • Write decimals as fractions or mixed numbers
  • Add and subtract negative decimals
  • Multiply positive and negative decimals
  • Divide a number by a decimal
  • Write fractions as equivalent decimals

1.1 Exponents, Order of Operations, and Inequality

1.2 Variables, Expressions, and Equations

1.3 Real Numbers and the Number Line

1.4 Adding and Subtracting Real Numbers

1.5 Multiplying and Dividing Real Numbers

1.6 Properties of Real Numbers

1.7 Simplifying Expressions

            Chapter 1 Summary

            Chapter 1 Review Exercises

            Chapter 1 Mixed Review Exercises

            Chapter 1 Test


2. Linear Equations and Inequalities in One Variable

  • Identify variables, constants, and expressions
  • Translate word phrases into algebraic expressions
  • Write percents as decimals
  • Write decimals as percents
  • Write percents as fractions
  • Write fractions as percents
  • Solve applications of percent

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 More on 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

            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

  • Evaluate an expression when values of the variables are given
  • Determine whether a number is a solution of an equation

3.1 Linear Equations and Rectangular Coordinates

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

            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

  • Review the use of exponents
  • Decide whether an expression gives a positive or negative result

4.1 The Product Rule and Power Rules for Exponents

4.2 Integer Exponents and the Quotient Rule

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

  • Find prime factorization
  • Perform operations with polynomials

5.1 The Greatest Common Factor; Factoring by Grouping

5.2 Factoring Trinomials

5.3 More on Factoring Trinomials

5.4 Special Factoring Techniques

5.5 Solving Quadradic 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

  • Write a fraction in lowest terms using a common factor
  • Multiply signed fractions
  • Divide signed fractions
  • Add and subtract unlike fractions
  • Rewrite mixed numbers as improper fractions, or the reverse
  • Solve application problems containing mixed numbers

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

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

  • Decide whether a given ordered pair is a solution of a given equation
  • Complete ordered pairs for a given equation

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

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

  • Know the meanings of inequality symbols
  • Solve applied problems involving inequalities
  • Find the absolute value of a real number
  • Interpret meaning of real numbers from a table

8.1 Review of Linear Inequalities in One Variable

8.2 Set Operations and Compound Inequalities

8.3 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

  • Use exponents to write repeated factors
  • Simplify expressions containing exponents
  • Review combining like terms

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

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

  • Simplify expressions
  • Solve equations using the distributive, addition, and division properties

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

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

  • Define and identify relations and functions
  • Find the domain and range
  • Identify functions defined by graphs and equations
  • Use function notation

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

  • Graph functions defines by radical expressions
  • Solve linear systems by substitution
  • Solve linear systems by elimination
  • Graph linear inequalities in two variables

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 Test

Chapters 1—13 Cumulative Review Exercises


14. Sequences and Series

  • Use inductive reasoning to analyze patterns
  • Recognize and evaluate polynomial functions

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 Test

Chapters 1—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





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