Clara ines ramirez gonzalez

Prealgebra y introductory Algebra / - 1 - EUA Siglo XXl editores 2008 - 1223 21cm de ancho X 26cm de largo - Serie .

Contents

Tools to Help Students Succeed

Additional Resources to Help You Succeed sii

Preface XV

Applications Index

EXV

The Whole Numbers 1

1

1.1 Tips for Success in Mathematics 2

12 Place Value and Names for Numbers 7

13 Adding and Subtracting Whole Numbers, and Perimeter 15

1.4 Rounding and Estimating 30

1.5 Multiplying Whole Numbers and Area 38

1.6 Dividing Whole Numbers 50

Integrated Review-Operations on Whole Numbers

64

1.7 Exponents and Order of Operations 66

1.8 Introduction to Variables, Algebraic Expressions, and Equations 75

Chapter 1 Group Activity: Investigating Endangered and Threatened Species 83

Vocabulary Check 84

Chapter 1 Highlights 85.

Chapter 1 Review 88

Chapter 1 Test 93

Integers and Introduction to Solving Equations 2

95

2.1 Introduction to Integers 96

2.2 Adding Integers 106

2.3 Subtracting Integers 114

2.4 Multiplying and Dividing Integers Integrated Review-Integers

122

2.5 Order of Operations 133

131

2.6 Solving Equations: The Addition and Multiplication

Properties 141

Magic Squares

149

Chapter 2 Group Activity:

Vocabulary Check 150

Chapter 2 Highlights

150

Chapter 2

Review

153

Chapter 2 Test 157

Cumulative Review

159
15

Roots and Radicals

1105

15.1 Introduction to Radicals

1106

15.2 Somplifying Radicals 1113

1121

15.3 Adding and Subtracting Radicals

1126

15.4 Multiplying and Dividing Radicals

Integrated Review-Simplifying Radicals

1134

15.5 Solving Equations Containing Radicals 11.36 15.6 Radical Equations and Problem Solving 1147

Chapter 15 Group Activity: Graphing and the Distance Formula 1149

Vocabulary Check 1150

Chapter 15 Highlights 1150

Chapter 15 Review 1153

Chapter 15 Test

1156

Cumulative Review 1158

16 Quadratic Equations

1160

16.1 Solving Quadratic Equations by the Square Root Property 1161 16.2 Solving Quadratic Equations by Completing the Square 1168

16.3 Solving Quadratic Equations by the Quadratic Formula 1173 Integrated Review-Summary on Quadratic Equations 1182

16.4 Graphing Quadratic Equations in Two Variables

1184

Chapter 16 Group Activity: Uses of Parabolas

Vocabulary Check

1194

1193

Chapter 16 Highlights

1194

Chapter 16 Review

1196

Chapter 16 Test

1200

Cumulative Review

1202

Appendix A

Tables 1205

Appendix B The Bigger Picture 1210

Appendix C Factoring Sums and Differences of Cubes 1216

Appendix D Systems of Linear Inequalities

1219

Appendix E Geometric Formulas

1223

Answers to Selected Exercises

A1

Index 11


SULTAR RABAJOS ÉMICOS

Preface

Prealgebra & Introductory Algebra was first written im response to the needs of those teaching combined courses. My goals were to help students make the transs tion from arithmetic to algebra and to provide a solid foundation in algebra To achieve these goals, I introduce algebraic concepts catly and repeat them often, as traditional arithmetic topics are discussed, thus laying the groundwork for algebra Specific care was taken to ensure that all core topics of an introductory algebra course are covered and that students have the most up to date relevant text prepa ration for future courses that require an understanding of algebraic fundamentals The many factors that contributed to the success of the previous edition have been retained. In preparing the Second Edition, I considered comments and sugges tions of colleagues, students, and many users of the prior edition throughout the country

What's New in the Second Edition?

Enhanced Exercise Sets

NEW! Three forms of mixed sections of exercises have been added to the Second Edition

Mixed Practice exercises combining objectives within a section

Mixed Practice exercises combining previous sections

Mixed Review exercises included at the end of the Chapter Review

These exercises require students to determine the problem type and strategy needed in order to solve it. In doing so, students need to think about key con-cepts to proceed with a correct method of solving-just as they would need to do on a test.

NEW! Vocabulary and Readiness Check exercises appear at the beginning of most exercise sets. These exercises quickly check a student's understanding of new vocabulary words so that forthcoming instructions in the problem sets will be clear. The readiness exercises center on a student's understanding of a con-cept that is necessary in order to continue with the exercise set. For example, such a readiness exercise might be for students to write out both 2 and

NEW! Concept Check exercises have been added to the section exercise sets.

These exercises are related to the Concept Check(s) found within the section. They help students measure their understanding of key concepts by focusing on common trouble areas. These exercises may ask students to identify a common error, and/or provide an explanation.

NEW! Concept Extensions (formerly Combining Concepts) have been revised.

These exercises extend the concepts and require students to combine several skills or concepts to solve the exercises in this section.

Increased Emphasis on Study Skills and Student Success

NEW! Study Skills Builders (formerly Study Skill Reminders) Found at the end of many exercise sets, Study Skills Builders allow instructors to assign exercises that will help students improve their study skills and take responsibility for their part of the learning process. Study Skills Builders reinforce the material found in Section 1.1. "Tips for Success in Mathematics," and serve as an excellent tool for self-assessment.

NEW! The Bigger Picture is a recurring feature that focuses on the key con-cepts of the course-operations on sets of numbers, simplifying expressions.



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