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Beginning Algebra,9780131482876
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Beginning Algebra

by ;
Edition:
6th
ISBN13:

9780131482876

ISBN10:
0131482874
Format:
Paperback
Pub. Date:
1/1/2006
Publisher(s):
Prentice Hall
List Price: $152.66

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This is the 6th edition with a publication date of 1/1/2006.
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Summary

This clear, accessible treatment of mathematics features a building-block approach toward problem solving, realistic and diverse applications, and chapter organizer to help users focus their study and become effective and confident problem solvers. The Putting Your Skills to Work and new chapter-end feature, Math in the Media, present readers with opportunities to utilize critical thinking skills, analyze and interpret data, and problem solve using applied situations encountered in daily life. Earlier coverage of the Order of Arithmetic Operations--now section 1.5 so that operations is now covered together before Introduction to Algebra. The discussion of solving linear equations in Chapter 2 now includes coverage of equations with no solution and equations with infinitely many solutions. Section 4.3 now offers a more thorough introduction to polynomials, with the addition of new terminology at the beginning of the section and a new lesson on evaluating polynomials at the end. Revised Ch. 7 on Graphing and Functions includes new coverage of the rectangular coordinate system and slope. The coverage of the rectangular coordinate system in Chapter 7 has been improved for greater clarity.

Table of Contents

To the Student i
Preface xiii
Acknowledgments xx
Diagnostic Pretest xxiv
A Brief Review of Arithmetic Skills
1(66)
Simplifying Fractions
2(8)
Adding and Subtracting Fractions
10(10)
Multiplying and Dividing Fractions
20(8)
Using Decimals
28(12)
How Am I Doing? Sections 0.1--0.4
39(1)
Using Percent
40(7)
Rounding and Estimating
47(5)
Using the Mathematics Blueprint for Problem Solving
52(15)
Chapter 0 Organizer
60(2)
Chapter 0 Review Problems
62(3)
How Am I Doing? Chapter 0 Test
65(2)
Real Numbers and Variables
67(66)
Adding Real Numbers
68(11)
Subtracting Real Numbers
79(5)
Multiplying and Dividing Real Numbers
84(10)
Exponents
94(4)
The Order of Operations
98(5)
How Am I Doing? Sections 1.1--1.5
102(1)
Using the Distributive Property to Simplify Algebraic Expressions
103(5)
Combining Like Terms
108(5)
Using Substitution to Evaluate Algebraic Expressions and Formulas
113(8)
Grouping Symbols
121(12)
Chapter 1 Organizer
126(1)
Chapter 1 Review Problems
127(4)
How Am I Doing? Chapter 1 Test
131(2)
Equations and Inequalities
133(58)
The Addition Principle of Equality
134(6)
The Multiplication Principle of Equality
140(6)
Using the Addition and Multiplication Principles Together
146(7)
Solving Equations with Fractions
153(9)
How Am I Doing? Sections 2.1--2.4
161(1)
Formulas
162(8)
Writing and Graphing Inequalities
170(5)
Solving Inequalities
175(16)
Chapter 2 Organizer
184(1)
Chapter 2 Review Problems
185(4)
How Am I Doing? Chapter 2 Test
189(1)
Cumulative Test for Chapters 0--2
190(1)
Solving Applied Problems
191(60)
Translating English Phrases into Algebraic Expressions
192(6)
Using Equations to Solve Word Problems
198(9)
Solving Word Problems: Comparisons
207(7)
How Am I Doing? Sections 3.1--3.3
213(1)
Solving Word Problems: The Value of Money and Percents
214(10)
Solving Word Problems Using Geometric Formulas
224(11)
Using Inequalities to Solve Word Problems
235(16)
Chapter 3 Organizer
242(1)
Chapter 3 Review Problems
243(5)
How Am I Doing? Chapter 3 Test
248(2)
Cumulative Test for Chapters 0--3
250(1)
Exponents and Polynomials
251(52)
The Rules of Exponents
252(9)
Negative Exponents and Scientific Notation
261(7)
Fundamental Polynomial Operations
268(7)
How Am I Doing? Sections 4.1--4.3
274(1)
Multiplying Polynomials
275(6)
Multiplication: Special Cases
281(7)
Dividing Polynomials
288(15)
Chapter 4 Organizer
296(1)
Chapter 4 Review Problems
297(4)
How Am I Doing? Chapter 4 Test
301(1)
Cumulative Test for Chapters 0--4
302(1)
Factoring
303(52)
Removing a Common Factor
304(5)
Factoring by Grouping
309(5)
Factoring Trinomials of the Form x2 + bx + c
314(7)
Factoring Trinomials of the Form ax2 + bx + c
321(7)
How Am I Doing? Sections 5.1--5.4
327(1)
Special Cases of Factoring
328(6)
A Brief Review of Factoring
334(4)
Solving Quadratic Equations by Factoring
338(17)
Chapter 5 Organizer
348(1)
Chapter 5 Review Problems
349(4)
How Am I Doing? Chapter 5 Test
353(1)
Cumulative Test for Chapters 0--5
354(1)
Rational Expressions and Equations
355(50)
Simplifying Rational Expressions
356(6)
Multiplying and Dividing Rational Expressions
362(5)
Adding and Subtracting Rational Expressions
367(9)
How Am I Doing? Sections 6.1--6.3
375(1)
Simplifying Complex Rational Expressions
376(5)
Solving Equations Involving Rational Expressions
381(5)
Ratio, Proportion, and Other Applied Problems
386(19)
Chapter 6 Organizer
396(2)
Chapter 6 Review Problems
398(5)
How Am I Doing? Chapter 6 Test
403(1)
Cumulative Test for Chapters 0--6
404(1)
Graphing and Functions
405(66)
The Rectangular Coordinate System
406(10)
Graphing Linear Equations
416(10)
The Slope of a Line
426(13)
How Am I Doing? Sections 7.1--7.3
437(2)
Writing the Equation of a Line
439(4)
Graphing Linear Inequalities
443(5)
Functions
448(23)
Chapter 7 Organizer
460(2)
Chapter 7 Review Problems
462(5)
How Am I Doing? Chapter 7 Test
467(2)
Cumulative Test for Chapters 0--7
469(2)
Systems of Equations
471(46)
Solving a System of Equations in Two Variables by Graphing
472(8)
Solving a System of Equations in Two Variables by the Substitution Method
480(6)
Solving a System of Equations in Two Variables by the Addition Method
486(9)
How Am I Doing? Sections 8.1--8.3
494(1)
Review of Methods for Solving Systems of Equations
495(5)
Solving Word Problems Using Systems of Equations
500(17)
Chapter 8 Organizer
509(2)
Chapter 8 Review Problems
511(4)
How Am I Doing? Chapter 8 Test
515(1)
Cumulative Test for Chapters 0--8
516(1)
Radicals
517(52)
Square Roots
518(5)
Simplifying Radical Expressions
523(5)
Adding and Subtracting Radical Expressions
528(4)
Multiplying Radical Expressions
532(6)
How Am I Doing? Sections 9.1--9.4
537(1)
Dividing Radical Expressions
538(6)
The Pythagorean Theorem and Radical Equations
544(8)
Word Problems Involving Radicals: Direct and Inverse Variation
552(17)
Chapter 9 Organizer
562(1)
Chapter 9 Review Problems
563(4)
How Am I Doing? Chapter 9 Test
567(1)
Cumulative Test for Chapters 0--9
568(1)
Quadratic Equations
569(48)
Introduction to Quadratic Equations
570(8)
Using the Square Root Property and Completing the Square to Find Solutions
578(6)
Using the Quadratic Formula to find solutions
584(8)
How Am I Doing? Sections 10.1--10.3
591(1)
Graphing Quadratic Equations
592(9)
Formulas and Applied Problems
601(16)
Chapter 10 Organizer
608(2)
Chapter 10 Review Problems
610(4)
How Am I Doing? Chapter 10 Test
614(1)
Cumulative Test for Chapters 0--10
615(2)
Practice Final Examination 617
Beginning Algebra Glossary 1(1)
Appendix A: Table of Square Roots 1(1)
Appendix B: Metric Measurement and Conversion of Units 2(4)
Appendix C: Interpreting Data from Tables, Charts, and Graphs 6(9)
Appendix D: Inductive and Deductive Reasoning 15
Solutions to Practice Problems 1(1)
Answers to Selected Exercises 1(1)
Applications Index 1(4)
Subject Index 5
Photo Credits 1


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