Basic Math, Introductory & Intermediate Algebra

  The Lial Series has helped thousands of students succeed in developmental mathematics by providing the best learning and teaching support to students and instructors. The new Lial All in One, Basic Math, Introductory & Intermediate Algebra, offers everything needed to teach the full developmental math sequence in one flexible course solution, with approachable writing and pedagogy, varied exercise sets, and robust ancillary resources. A tightly integrated MyMathLab course includes the Lial Video Library, and fresh, interactive PowerPoint slides to meet the changing needs of today’s students and instructors. ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products.   Packages Access codes for Pearson's MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase.   Used or rental books If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code.   Access codes Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase.     Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:  9780133976830 / 0133976831 MyMathLab for Lial Basic Math, Introductory and Intermediate Algebra -- Access Card -- PLUS MySlideNotes Package consists of: 0133931722 / 9780133931723 MySlideNotes for Lial Basic Math, Introductory and Intermediate Algebra   0321757378 / 9780321757371 MyMathLab CourseCompass Integrated Course Sequence -- Standalone Access Card 0321980379 / 9780321980373 Basic Math, Introductory and Intermediate Algebra

Table of Contents:
1. Whole Numbers 1.1 Reading and Writing Whole Numbers 1.2 Adding Whole Numbers 1.3 Subtracting Whole Numbers 1.4 Multiplying Whole Numbers 1.5 Dividing Whole Numbers 1.6 Long Division 1.7 Rounding Whole Numbers 1.8 Exponents, Roots, and Order of Operations 1.9 Reading Pictographs, Bar Graphs, and Line Graphs 1.10 Solving Application Problems      2. Multiplying and Dividing Fractions 2.1 Basics of Fractions 2.2 Mixed Numbers 2.3 Factors 2.4 Writing a Fraction in Lowest Terms 2.5 Multiplying Fractions 2.6 Applications of Multiplication 2.7 Dividing Fractions 2.8 Multiplying and Dividing Mixed Numbers   3. Adding and Subtracting Fractions 3.1 Adding and Subtracting Like Fractions 3.2 Least Common Multiples 3.3 Adding and Subtracting Unlike Fractions 3.4 Adding and Subtracting Mixed Numbers 3.5 Order Relations and the Order of Operations   4. Decimals 4.1 Reading and Writing Decimal Numbers 4.2 Rounding Decimal Numbers 4.3 Adding and Subtracting Decimal Numbers 4.4 Multiplying Decimal Numbers 4.5 Dividing Decimal Numbers 4.6 Fractions and Decimals   5. Ratio and Proportion 5.1 Ratios 5.2 Rates 5.3 Proportions 5.4 Solving Proportions 5.5 Solving Application Problems with Proportions   6. Percent 6.1 Basics of Percent 6.2 Percents and Fractions 6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem 6.4 Using Proportions to Solve Percent Problems 6.5 Using the Percent Equation 6.6 Solving Application Problems with Percent 6.7 Simple Interest 6.8 Compound Interest   7. Measurement 7.1 Problem Solving with U.S. Measurement Units 7.2 The Metric System – Length 7.3 The Metric System – Capacity and Weight (Mass) 7.4 Problem Solving with Metric Measurement 7.5 Metric—U.S. Measurement Conversions and Temperature   8. Geometry 8.1 Basic Geometric Terms 8.2 Angles and Their Relationships 8.3 Rectangles and Squares 8.4 Parallelograms and Trapezoids 8.5 Triangles 8.6 Circles 8.7 Volume 8.8 Pythagorean Theorem 8.9 Similar Triangles   9. Introduction to Basic Algebra 9.1 Signed Numbers 9.2 Adding and Subtracting Signed Numbers 9.3 Multiplying and Dividing Signed Numbers 9.4 Order of Operations 9.5 Evaluating Expressions and Formulas 9.6 Solving Equations 9.7 Solving Equations with Several Steps 9.8 Using Equations to Solve Application Problems   10. Statistics 10.1 Circle Graphs 10.2 Bar Graphs and Line Graphs 10.3 Frequency Distributions and Histograms 10.4 Mean, Median, and Mode   11. The Real Number System 11.1 Exponents, Order of Operations, and Inequality 11.2 Variables, Expressions, and Equations 11.3 Real Numbers and the Number Line 11.4 Adding Real Numbers 11.5 Subtracting Real Numbers 11.6 Multiplying and Dividing Real Numbers 11.7 Properties of Real Numbers 11.8 Simplifying Expressions   12. Equations, Inequalities, and Applications 12.1 The Addition Property of Equality 12.2 The Multiplication Property of Equality 12.3 More on Solving Linear Equations 12.4 An Introduction to Applications of Linear Equations 12.5 Formulas and Additional Applications from Geometry 12.6 Ratio, Proportion, and Percent 12.7 Solving Linear Inequalities   13. Graphs of Linear Equations and Inequalities in Two Variables; Functions 13.1 Linear Equations in Two Variables; The Rectangular Coordinate System 13.2 Graphing Linear Equations in Two Variables 13.3 The Slope of a Line 13.4 Writing and Graphing Equations of Lines 13.5 Graphing Linear Inequalities in Two Variables 13.6 Introduction to Relations and Functions 13.7 Function Notation and Linear Functions   14. Systems of Linear Equations and Inequalities 14.1 Solving Systems of Linear Equations by Graphing 14.2 Solving Systems of Linear Equations by Substitution 14.3 Solving Systems of Linear Equations by Elimination 14.4 Applications of Linear Systems 14.5 Solving Systems of Linear Inequalities   15. Exponents and Polynomials 15.1 Adding and Subtracting Polynomials 15.2 The Product Rule and Power Rules for Exponents 15.3 Multiplying Polynomials 15.4 Special Products 15.5 Integer Exponents and the Quotient Rule 15.6 Dividing a Polynomial by a Monomial 15.7 Dividing a Polynomial by a Polynomial 15.8 An Application of Exponents: Scientific Notation   16. Factoring and Applications 16.1 Factors; The Greatest Common Factor 16.2 Factoring Trinomials 16.3 Factoring Trinomials by Grouping 16.4 Factoring Trinomials by Using the FOIL Method 16.5 Special Factoring Techniques 16.6 A General Approach to Factoring 16.7 Solving Quadratic Equations by Factoring 16.8 Applications of Quadratic Equations   17. Rational Expressions and Functions 17.1 Rational Expressions and Functions; Multiplying and Dividing 17.2 Adding and Subtracting Rational Expressions 17.3 Complex Fractions 17.4 Equations with Rational Expressions and Graphs 17.5 Applications of Rational Expressions 17.6 Variation   18. Equations, Inequalities, and Systems Revisited 18.1 Review of Solving Linear Equations and Inequalities 18.2 Set Operations and Compound Inequalities 18.3 Absolute Value Equations and Inequalities 18.4 Review of Systems of Linear Equations in Two Variables 18.5 Systems of Linear Equations in Three Variables; Applications   19. Roots, Radicals, and Root Functions 19.1 Radical Expressions and Graphs 19.2 Rational Exponents 19.3 Simplifying Radical Expressions 19.4 Adding and Subtracting Radical Expressions 19.5 Multiplying and Dividing Radical Expressions 19.6 Solving Equations with Radicals 19.7 Complex Numbers   20. Quadratic Equations, Inequalities, and Functions 20.1 Solving Quadratic Equations by the Square Root Property 20.2 Solving Quadratic Equations by Completing the Square 20.3 Solving Quadratic Equations by the Quadratic Formula 20.4 Equations Quadratic in Form 20.5 Formulas and Applications 20.6 Graphs of Quadratic Functions 20.7 More about Parabolas and Their Applications 20.8 Polynomial and Rational Inequalities   21. Inverse, Exponential, and Logarithmic Functions 21.1 Operations on Functions and Composition 21.2 Inverse Functions 21.3 Exponential Functions 21.4 Logarithmic Functions 21.5 Properties of Logarithms 21.6 Common and Natural Logarithms 21.7 Exponential and Logarithmic Equations and Their Applications   22. Nonlinear Functions, Conic Sections, and Nonlinear Systems 22.1 Additional Graphs of Functions; Operations and Composition 22.2 The Circle and the Ellipse 22.3 The Hyperbola and Other Functions Defined by Radicals 22.4 Nonlinear Systems of Equations 22.5 Second-Degree Inequalities and Systems of Inequalities   Appendix A. Inductive and Deductive Reasoning Appendix B. Solving Systems of Linear Equations by Matrix Methods Appendix C. Synthetic Division  

About the Author :
Marge Lial (late) became interested in math at an early age—it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. She was particularly interested in archeology; trips to various digs and ruin sites 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. We dedicate the new editions of the paperback developmental math series to Marge in honor of her contributions to the field in which she helped thousands of students succeed.   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). He has been a rabid 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 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.   Diana Hestwood lives in Minnesota and has taught at Metropolitan Community College in Minneapolis for two decades. She has done research on the student brain and is an expert on study skills. She is the author of Lial/Hestwood’s Prealgebra and coauthor of Lial/Salzman/Hestwood’s Basic Math and Lial/Hestwood/Hornsby/McGinnis’s Prealgebra and Introductory Algebra.   Stan Salzman is a long time resident of Sacramento, California. Stan has taught at American River College for many years, where he was a member of the business department. He is the author of Business Math and Essential Math, published by Pearson Education, Inc., and is coauthor of Basic Math.