Elementary Algebra /

By:

Larson Hostteler

Language: Inglés Series: SeriePublication details: IAE Estados Unidos 2005Edition: 4Description: 610 20cm de ancho X 26cm de largoISBN:

978-0-618-38818-9

LOC classification:

Contents:

Your Guide to Academic Success 51 Your Guide to the Chapters $19 Your Guide to Your Book S41 A Word from the Authors 547 Motivating the Chapter 1 1 The Real Number System 1 1.1 Real Numbers: Order and Absolute Value 2 1.2 Adding and Subtracting Integers 12 1.3 Multiplying and Dividing Integers 20 Mid-Chapter Quiz 33 1.4 Operations with Rational Numbers 34 1.5 Exponents, Order of Operations, and Properties of Real Numbers 48 What Did You Learn? (Chapter Summary) 60 Review Exercises 61 Chapter Test 65 Motivating the Chapter 66 2 Fundamentals of Algebra 67 2.1 Writing and Evaluating Algebraic Expressions 68 2.2 Simplifying Algebraic Expressions 78 Mid-Chapter Quiz 90 2.3 Algebra and Problem Solving 91 2.4 Introduction to Equations 105 What Did You Learn? (Chapter Summary) 116 Review Exercises 117 Chapter Test 121 Motivating the Chapter 122 3 Linear Equations and Problem Solving 123 3.1 Solving Linear Equations 124 3.2 Equations That Reduce to Linear Form 135 3.3 Problem Solving with Percents 145 Mid-Chapter Quiz 157 3.4 Ratios and Proportions 158 3.5 Geometric and Scientific Applications 169 3.6 Linear Inequalities 182 What Did You Learn? (Chapter Summary) 192 Review Exercises 193 Chapter Test 196 Cumulative Test: Chapters 1-3 197 V Contents vii Motivating the Chapter 372 7 Rational Expressions and Equations 373 7.1 Simplifying Rational Expressions 374 7.2 Multiplying and Dividing Rational Expressions 384 7.3 Adding and Subtracting Rational Expressions Mid-Chapter Quiz 403 393 7.4 Complex Fractions 404 7.5 Rational Equations and Applications 411 What Did You Learn? (Chapter Summary) 422 Review Exercises 423 Chapter Test 427 Motivating the Chapter 428 8 Systems of Equations and Inequalities 429 8.1 Solving Systems of Equations by Graphing 430 8.2 Solving Systems of Equations by Substitution 440 8.3 Solving Systems of Equations by Elimination 449 Mid-Chapter Quiz 459 8.4 Applications of Systems of Linear Equations 460 8.5 Systems of Linear Inequalities 472 What Did You Learn? (Chapter Summary) 480 Review Exercises 481 Chapter Test 485 Motivating the Chapter 486 9 Radical Expression and Equations 487 9.1 Roots and Radicals 488 9.2 Simplifying Radicals 497 Mid-Chapter Quiz 508 9.3 Operations with Radical Expressions 509 9.4 Radical Equations and Applications 519 What Did You Learn? (Chapter Summary) 529 Review Exercises 530 Chapter Test 533 Cumulative Test: Chapters 7-9 534 Motivating the Chapter 536 10 Quadratic Equations and Functions 537 10.1 Solution by the Square Root Property 538 10.2 Solution by Completing the Square 544 10.3 Solution by the Quadratic Formula 553 Mid-Chapter Quiz 561 10.4 Graphing Quadratic Functions 562 10.5 Applications of Quadratic Equations 573 10.6 Complex Numbers 581 10.7 Relations, Functions, and Graphs 593 603 What Did You Learn? (Chapter Summary) Review Exercises 604 Chapter Test 610 Appendices Appendix A Introduction to Graphing Calculators A1 Appendix B Further Concepts in Geometry* B.1 Exploring Congruence and Similarity B.2 Angles Appendix C Further Concepts in Statistics* Additional Answers A9 Technology Answers A53 Index of Applications A57 Index A61

Summary: ACADEMICOS Academic Success Manage Your Time Well Create a Weekly Schedule** To give yourself the best chance for success in your algebra course, it is important that you manage your time well. When creating a schedule, you can use a planner that shows each month, each week, or each day at a glance, whatever works best for you. Look at the back of the book for sample weekly and monthly planners to get you started. In your planner, record anything that will take place on a specific date and at a specific time over the next seven days, such as the following. Meetings Appointments Due dates for assignments. Test dates Study sessions Carry your planner with you during the school day so that you can jot down commitments as they arise. Daily planners show only one day at a time. These can be useful, especially for people who need to schedule appointments hour by hour. But keep in mind the power of planning a whole week at a time. Weekly planning can give you a wider perspective on your activities, help you spot different options for scheduling events, and free you from feeling that you have to accomplish everything in one day. As you use your weekly planner to record events, keep the following suggestions in mind. Schedule fixed blocks of time first. Start with class time and work time, for instance. These time periods are usually determined in advance. Other activities must be scheduled around them. As an alternative to entering your class schedule in your calendar each week, you can simply print out your class schedule, store it in your weekly planner, and consult it as needed. Study two hours for every hour you spend in class. In college, it is standard advice to allow two hours of study time for every hour spent in class. If you spend 15 hours each week in class, plan to spend 30 hours a week studying. The benefits of following this advice will be apparent at exam time. Note: This guideline is just that-a guideline, not an absolute rule. Note how many hours you actually spend studying for each hour of class. Then ask yourself how your schedule is working. You may want to allow more study time for some subjects. Re-evaluate your study time periodically through-out the semester. Avoid scheduling marathon study sessions. When possible, study in shorter sessions. Three 3-hour sessions are usually far more productive than one 9-hour session. When you do study in long sessions, stop and rest for a few minutes every hour. Give your brain a chance to take a break.

Holdings
Item type	Current library	Call number	Copy number	Status	Date due	Barcode
Libro	CI Gustavo A. Madero 2	NA2750 B38 1984	Ej:1	Available

Your Guide to Academic Success 51

Your Guide to the Chapters $19

Your Guide to Your Book S41

A Word from the Authors

547

Motivating the Chapter 1

1 The Real Number System 1

1.1 Real Numbers: Order and Absolute Value 2

1.2 Adding and Subtracting Integers 12

1.3 Multiplying and Dividing Integers 20

Mid-Chapter Quiz 33

1.4 Operations with Rational Numbers 34

1.5 Exponents, Order of Operations, and Properties of Real Numbers 48

What Did You Learn? (Chapter Summary) 60

Review Exercises 61

Chapter Test 65

Motivating the Chapter 66

2 Fundamentals of Algebra

67

2.1 Writing and Evaluating Algebraic Expressions 68

2.2 Simplifying Algebraic Expressions 78

Mid-Chapter Quiz 90

2.3 Algebra and Problem Solving 91

2.4 Introduction to Equations 105

What Did You Learn? (Chapter Summary) 116

Review Exercises 117

Chapter Test 121

Motivating the Chapter 122

3 Linear Equations and Problem Solving

123

3.1 Solving Linear Equations 124

3.2 Equations That Reduce to Linear Form

135

3.3 Problem Solving with Percents

145

Mid-Chapter Quiz 157

3.4 Ratios and Proportions 158

3.5 Geometric and Scientific Applications

169

3.6 Linear Inequalities 182

What Did You Learn? (Chapter Summary) 192

Review Exercises 193

Chapter Test

196

Cumulative Test: Chapters 1-3 197

V
Contents

vii

Motivating the Chapter

372

7 Rational Expressions and Equations

373

7.1 Simplifying Rational Expressions

374

7.2 Multiplying and Dividing Rational Expressions

384

7.3 Adding and Subtracting Rational Expressions

Mid-Chapter Quiz 403

393

7.4 Complex Fractions 404

7.5 Rational Equations and Applications 411

What Did You Learn? (Chapter Summary)

422

Review Exercises 423

Chapter Test

427

Motivating the Chapter 428

8 Systems of Equations and Inequalities

429

8.1 Solving Systems of Equations by Graphing

430

8.2 Solving Systems of Equations by Substitution 440

8.3 Solving Systems of Equations by Elimination

449

Mid-Chapter Quiz 459

8.4 Applications of Systems of Linear Equations

460

8.5 Systems of Linear Inequalities

472

What Did You Learn? (Chapter Summary)

480

Review Exercises 481

Chapter Test

485

Motivating the Chapter

486

9 Radical Expression and Equations

487

9.1 Roots and Radicals

488

9.2 Simplifying Radicals

497

Mid-Chapter Quiz

508

9.3 Operations with Radical Expressions

509

9.4 Radical Equations and Applications

519

What Did You Learn? (Chapter Summary)

529

Review Exercises 530

Chapter Test

533

Cumulative Test: Chapters 7-9 534
Motivating the Chapter 536

10 Quadratic Equations and Functions

537

10.1 Solution by the Square Root Property 538

10.2 Solution by Completing the Square

544

10.3 Solution by the Quadratic Formula

553

Mid-Chapter Quiz 561

10.4 Graphing Quadratic Functions

562

10.5 Applications of Quadratic Equations 573

10.6 Complex Numbers

581

10.7 Relations, Functions, and Graphs

593

603

What Did You Learn? (Chapter Summary)

Review Exercises

604

Chapter Test

610

Appendices

Appendix A Introduction to Graphing Calculators A1

Appendix B Further Concepts in Geometry*

B.1 Exploring Congruence and Similarity

B.2 Angles

Appendix C Further Concepts in Statistics*

Additional Answers A9

Technology Answers

A53

Index of Applications

A57

Index A61

ACADEMICOS

Academic Success

Manage Your Time Well

Create a Weekly Schedule**

To give yourself the best chance for success in your algebra course, it is important that you manage your time well. When creating a schedule, you can use a planner that shows each month, each week, or each day at a glance, whatever works best for you. Look at the back of the book for sample weekly and monthly planners to get you started. In your planner, record anything that will take place on a specific date and at a specific time over the next seven days, such as the following.

Meetings

Appointments

Due dates for assignments.

Test dates

Study sessions

Carry your planner with you during the school day so that you can jot down commitments as they arise.

Daily planners show only one day at a time. These can be useful, especially for people who need to schedule appointments hour by hour. But keep in mind the power of planning a whole week at a time. Weekly planning can give you a wider perspective on your activities, help you spot different options for scheduling events, and free you from feeling that you have to accomplish everything in one day.

As you use your weekly planner to record events, keep the following suggestions in mind.

Schedule fixed blocks of time first. Start with class time and work time, for instance. These time periods are usually determined in advance. Other activities must be scheduled around them. As an alternative to entering your class schedule in your calendar each week, you can simply print out your class schedule, store it in your weekly planner, and consult it as needed.

Study two hours for every hour you spend in class. In college, it is standard advice to allow two hours of study time for every hour spent in class. If you spend 15 hours each week in class, plan to spend 30 hours a week studying. The benefits of following this advice will be apparent at exam time.

Note: This guideline is just that-a guideline, not an absolute rule. Note how many hours you actually spend studying for each hour of class. Then ask yourself how your schedule is working. You may want to allow more study time for some subjects. Re-evaluate your study time periodically through-out the semester.

Avoid scheduling marathon study sessions. When possible, study in shorter sessions. Three 3-hour sessions are usually far more productive than one 9-hour session. When you do study in long sessions, stop and rest for a few minutes every hour. Give your brain a chance to take a break.