Prealgebra and Introductory Algebra

Margaret L. Lial, Diana L. Hestwood, John Hornsby, Terry McGinnis (Autoren)

Buch | Softcover

1344 Seiten

2009 | 3rd edition
Pearson (Verlag)
9780321578730 (ISBN)

Infos

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.

Autor

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.

Inhalt

Study Skills: Your Brain Can Learn Mathematics

 

1. Introduction to Algebra: Integers

1.1 Place Value

    Study Skills: Using Your Textbook

1.2 Introduction to Signed Numbers

    Study Skills: Homework: How, Why, When

1.3 Adding Integers

1.4 Subtracting Integers

1.5 Problem Solving: Rounding and Estimating

1.6 Multiplying Integers

1.7 Dividing Integers

1.8 Exponents and Order of Operations

    Study Skills: Taking Lecture Notes

    Study Skills: Reviewing a Chapter

    Study Skills: Managing Your Time

 

2. Understanding Variables and Solving Equations

2.1 Introduction to Variables

    Study Skills: Using Study Cards

2.2 Simplifying Expressions

    Study Skills: Using Study Cards Revisited

2.3 Solving Equations Using Addition

2.4 Solving Equations Using Division

2.5 Solving Equations with Several Steps

    Study Skills: Preparing for Tests

 

3. Solving Application Problems

3.1 Problem Solving: Perimeter

3.2 Problem Solving: Area

3.3 Application Problems with One Unknown Quantity

3.4 Application Problems with Two Unknown Quantities

    Study Skills: Tips for Taking Math Tests

 

4. Rational Numbers: Positive and Negative Fractions

4.1 Introduction to Signed Fractions

4.2 Writing Fractions in Lowest Terms

4.3 Multiplying and Dividing Signed Fractions

4.4 Adding and Subtracting Signed Fractions

    Study Skills: Making a Mind Map

4.5 Problem Solving: Mixed Numbers and Estimating

4.6 Exponents, Order of Operations, and Complex Fractions

4.7 Problem Solving: Equations Containing Fractions

4.8 Geometry Applications: Area and Volume

    Study Skills: Analyzing Your Test Results 

 

5. Rational Numbers: Positive and Negative Decimal

5.1 Reading and Writing Decimal Numbers

5.2 Rounding Decimal Numbers

5.3 Adding and Subtracting Signed Decimal Numbers

5.4 Multiplying Signed Decimal Numbers

5.5 Dividing Signed Decimal Numbers

5.6 Fractions and Decimals

5.7 Problem Solving with Statistics: Mean, Median, Mode, and Variability

5.8 Geometry Applications: Pythagorean Theorem and Square Roots

5.9 Problem Solving: Equations Containing Decimals

5.10 Geometry Applications: Circles, Cylinders, and Surface Area

 

6. Ratio, Proportion, and Line/Angle/Triangle Relationships

6.1 Ratios

6.2 Rates

6.3 Proportions

6.4 Problem Solving: Proportions

6.5 Geometry: Lines and Angles

6.6 Geometry Applications: Congruent and Similar Triangles

 

7. Percent

7.1 The Basics of Percent

7.2 The Percent Proportion

7.3 The Percent Equation

7.4 Problem Solving with Percent

7.5 Consumer Applications: Sales Tax, Tips, and Discounts, and Simple Interest

Study Skills: Preparing for Your Final Exam

 

8. Measurement

8.1 Problem Solving with US Customary Measurements

8.2 The Metric System-Length

8.3 The Metric System-Capacity and Mass (Weight)

8.4 Problem Solving with Metric Measurements

8.5 Metric-US Customary Conversions and Temperature

 

9. Graphs

9.1 Problem Solving with Tables and Pictographs

9.2 Reading and Constructing Circle Graphs

9.3 Bar Graphs and Line Graphs

9.4 The Rectangular Coordinate System

9.5 Introduction to Graphing Linear Equations

 

10 Real Numbers, Equations, and Inequalities

10.1 Real Numbers and Expressions

10.2 More on Solving Linear Equations

10.3 Formulas and Solving for a Specified Variable

10.4 Solving Linear Inequalities

 

11. Graphs of Linear Equations and Inequalities in Two Variables

11.1 Reading Graphs; Linear Equations in Two Variables

11.2 Graphing Linear Equations in Two Variables

11.3 Slope of a Line

11.4 Equations of Lines

11.5 Graphing Linear Inequalities in Two Variables

 

12. Systems of Equations and Inequalities

12.1 Solving Systems of Linear Equations by Graphing

12.2 Solving Systems of Linear Equations by Substitution

12.3 Solving Systems of Linear Equations by Elimination

12.4 Application of Linear Systems

12.5 Solving Systems of Linear Inequalities

 

13. Exponents and Polynomials

13.1 Adding and Subtracting Polynomials

13.2 The Product Rule and Power Rules for Exponents

13.3 Multiplying Polynomials

13.4 Special Products

13.5 Integer Exponents and the Quotient Rule

13.6 Dividing a Polynomial by a Monomial

13.7 Dividing a Polynomial by a Polynomial

13.8 An Application of Exponents: Scientific Notation

 

14. Factoring and Applications

14.1 Factors; The Greatest Common Factor

14.2 Factoring Trinomials

14.3 Factoring Trinomials by Grouping

14.4 Factoring Trinomials Using FOIL

14.5 Special Factoring Techniques

14.6 Solving Quadratic Equations by Factoring

14.7 Applications of Quadratic Equations

 

15. Rational Expressions and Applications

15.1 The Fundamental Property of Rational Expressions

15.2 Multiplying and Dividing Rational Expressions

15.3 Least Common Denominators

15.4 Adding and Subtracting Rational Expressions

15.5 Complex Fractions

15.6 Solving Equations with Rational Expressions

15.7 Applications of Rational Expressions

15.8 Variation

 

16. Roots and Radicals

16.1 Evaluating Roots

16.2 Multiplying, Dividing, and Simplifying Radicals

16.3 Adding and Subtracting Radicals

16.4 Rationalizing the Denominator

16.5 More Simplifying and Operations with Radicals

16.6 Solving Equations with Radicals

 

17. Quadratic Equations

17.1 Solving Quadratic Equations by the Square Root Property

17.2 Solving Quadratic Equations by Completing the Square

17.3 Solving Quadratic Equations by the Quadratic Formula

17.4 Graphing Quadratic Equations

17.5 Introduction to Functions

 

R. Whole Numbers Review

R.1 Adding Whole Numbers

R.2 Subtracting Whole Numbers

R.3 Multiplying Whole Numbers

R.4 Dividing Whole Numbers

R.5 Long Division

 

Produkt-Details

• Erscheint lt. Verlag: 18.3.2009
• Sprache: englisch
• Maße: 216 x 276 mm
• Gewicht: 2486 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• ISBN-13: 9780321578730 / 9780321578730
• Zustand: Neuware