Prealgebra and Introductory Algebra / Edition 3 available in Paperback
The Lial series has helped thousands of students succeed in developmental mathematics through its approachable writing style, supportive pedagogy, varied exercise sets, and complete supplements package. With this new edition, the authors continue to provide students and instructors with the best package for learning and teaching support–a book written with student success as its top priority, now with an emphasis on study skills growth and an expanded instructor supplements package.
Introduction to Algebra: Integers; Understanding Variables and Solving Equations; Solving Application Problems; Rational Numbers: Positive and Negative Fractions; Positive and Negative Decimal Numbers; Ratio, Proportion, and Line/Angle/Triangle Relationships; Percent; Measurement; Graphs; Real Numbers, Equations, and Inequalities; Graphs of Linear Equations and Inequalities in Two Variables; Systems of Equations and Inequalities; Exponents and Polynomials; Factoring and Applications; Rational Expressions; Roots and Radicals; Quadratic Equations; Whole Numbers Review
For all readers interested in prealgebra and introductory algebra.
|Edition description:||Older Edition|
|Product dimensions:||8.50(w) x 10.90(h) x 1.10(d)|
About the Author
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). 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.
Table of Contents(All chapters conclude with a Summary, Review Exercises, and Test.)
Whole Numbers Computation: Diagnostic Test.
1. Introduction to Algebra: Integers.
Introduction to Signed Numbers.
Study Tips: Using Your Textbook.
Rounding and Estimating.
Study Tips: Keys to Remembering What You Study.
Numbers in the Real World: Wedding Expenses.
Exponents and Order of Operations.
2. Understanding Variables and Solving Equations.
Introduction to Variables.
Numbers in the Real World: Expressions.
Solving Equations Using Addition.
Study Tips: Preparing for a Test.
Solving Equations Using Division.
Solving Equations with Several Steps.
3. Solving Application Problems.
Problem Solving: Perimeter.
Problem Solving: Area.
Application Problems with One Unknown Quantity.
Numbers in the Real World: Formulas.
Application Problems with Two Unknown Quantities.
Study Tips: Taking a Test
4. Rational Numbers: Positive and Negative Fractions.
Introduction to Positive and Negative Fractions.
Numbers in the Real World: Quilt Patterns.
Writing Fractions in Lowest Terms.
Multiplying and Dividing Signed Fractions.
Adding and Subtracting Signed Fractions.
Numbers in the Real World: Music.
Problem Solving: Mixed Numbers and Estimating.
Numbers in the Real World: Sharing Hotel Expenses.
Exponents, Order of Operations, and Complex Fractions.
Numbers in the RealWorld: Recipes.
Problem Solving: Equations Containing Fractions.
Geometry Applications: Area and Volume.
Numbers in the Real World: Stock Market.
5. Positive and Negative Decimal Numbers.
Reading and Writing Decimal Numbers.
Rounding Decimal Numbers.
Adding and Subtracting Decimal Numbers.
Multiplying Decimal Numbers.
Dividing Decimal Numbers.
Fractions and Decimals.
Introduction to Statistics: Mean, Median, Mode, and Variability.
Geometry Applications: Pythagorean Theorem.
Problem Solving: Equations Containing Decimals.
Numbers in the Real World: Lawn Fertilizer.
Geometry Applications: Circles, Cylinders, and Surface Area.
6. Ratio, Proportion, and Line/Angle/Triangle Relationships.
Problem Solving: Proportions.
Geometry: Lines and Angles.
Geometry Applications: Congruent and Similar Triangles.
The Basics of Percent.
The Percent Proportion.
The Percent Equation.
Problem Solving with Percent.
Numbers in the Real World: Feeding Hummingbirds.
Consumer Applications: Sales Tax, Tips, and Discounts.
Problem Solving: Simple and Compound Interest.
Numbers in the Real World: Making Your Investments Grow.
The English System.
Numbers in the Real World: Growing Sunflowers.
The Metric System-Length.
Numbers in the Real World: Measuring Up.
The Metric System-Capacity and Mass (Weight).
Problem Solving: Metric Measurement.
Metric-English Conversions and Temperature Formulas.
Reading and Interpreting Tables and Pictographs.
Reading and Constructing Circle Graphs.
Bar Graphs and Line Graphs.
Numbers in the Real World: Grocery Shopping.
The Rectangular Coordinate System.
10. Real Numbers, Equations, and Inequalities.
Real Numbers and Expressions.
More on Solving Linear Equations.
Formulas and Solving for a Specified Variable.
11. Exponents and Polynomials.
The Product Rule and Power Rules for Exponents.
Numbers in the Real World: Do You Have the Knack for Percent?
Integer Exponents and the Quotient Rule.
An Application of Exponents: Scientific Notation.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Products of Binomials.
Division of a Polynomial by a Monomial.
The Quotient of Two Polynomials.
Factors; The Greatest Common Factor.
Numbers in the Real World: Number Patterns in our World.
Numbers in the Real World: Using Number Properties in Identification.
More on Factoring Trinomials.
Numbers in the Real World: The Influence of Spanish Coinage on Stock Prices.
Summarizing Exercises by Factoring.
Solving Quadratic Equations by Factoring.
Numbers in the Real World: Using Computers to Break Codes.
Applications of Quadratic Equations.
13. Rational Expressions.
The Fundamental Property of Rational Expressions.
Numbers in the Real World: The Dangers of Ultraviolet Rays.
Multiplication and Division of Rational Expressions.
Least Common Denominators.
Numbers in the Real World: Statistics Require Careful Interpretation.
Addition and Subtraction of Rational Expressions.
Numbers in the Real World: Number Magic.
Equations Involving Rational Expressions.
Numbers in the Real World: Geometry in Our World.
Summary Exercises on Rational Expressions.
Applications of Rational Expressions.
Numbers in the Real World: Big Numbers in Our World (and Others)...And Just How Big Is a Googol?
14. Linear Equations and Inequalities in Two Variables.
Introduction to Graphing Linear Equations.
Graphing Linear Equations in Two Variables.
Numbers in the Real World: Some Facts and Figures on Children's Allowances.
The Slope of a Line.
Equations of a Line.
Graphing Linear Inequalities in Two Variables.
Graphing Direct and Inverse Variation.
15. Linear Systems of Equations and Inequalities.
Solving Systems of Linear Equations by Graphing.
Solving Systems of Linear Equations by Addition.
Solving Systems of Linear Equations by Substitution.
Application of Linear Systems.
Solving Systems of Linear Inequalities.
16. Roots and Radicals.
Multiplication and Division of Radicals.
Addition and Subtraction of Radicals.
Rationalizing the Denominator.
Simplifying Radical Expressions.
Equations with Radicals.
Numbers in the Real World: Are You a Good "Guesstimator" ?
17. Quadratic Equations.
Solving Quadratic Equations by the Square Root Property.
Numbers in the Real World: A Mathematical Model of the Spread of AIDS.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations by the Quadratic Formula.
Summary Exercises on Quadratic Equations.
Using Function Notation for Quadratic Equations.
Graphing Quadratic Equations and Inequalities.
R. Whole Numbers Review.
Addition of Whole Numbers.
Subtraction of Whole Numbers.
Multiplication of Whole Numbers.
Division of Whole Numbers.
Appendix A: Scientific Calculators
Appendix B: Inductive and Deductive Reasoning.
Numbers in the Real World: Lifetime Earnings.
Answers to Selected Exercises
Index of Applications.