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Intermediate Algebra,9780130676672
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Intermediate Algebra

by
Edition:
2nd
ISBN13:

9780130676672

ISBN10:
0130676675
Format:
Paperback
Pub. Date:
1/1/2003
Publisher(s):
Prentice Hall

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Summary

The engaging Martin-Gay workbook series presents a user-friendly approach to the concepts of basic math and algebra, giving readers ample opportunity to practice skills and see how those skills relate to both their lives and the real world. The goals of the workbooks are to build confidence, increase motivation, and encourage mastery of basic skills and concepts. Martin-Gay enhances users' perception of math by exposing them to real-life situations through graphs and applications; and ensures that readers have an organized, integrated learning system at their fingertips. The integrated learning resources program features book-specific supplements including Martin-Gay's acclaimed tutorial videotapes, CD videos, and MathPro 5. This book includes key topics in algebra such as linear equations and inequalities, systems of equations, polynomial functions and equations, quadratic functions and equations, exponential functions and equations, logarithmic functions an equations, and rational and radical expressions. For professionals who wish to brush up on their algebra skills.

Table of Contents

Preface vii
Real Numbers and Algebraic Expressions
1(78)
Chapter 1 Pretest
2(1)
Tips for Success in Mathematics
3(6)
Sets of Numbers
9(10)
Properties of Real Numbers
19(10)
Operations on Real Numbers
29(12)
Integrated Review---Real Numbers
39(2)
Order of Operations and Algebraic Expressions
41(8)
Exponents and Scientific Notation
49(10)
More Work with Exponents and Scientific Notation
59(20)
Activity: Searching for Patterns
66(1)
Chapter 1 Vocabulary Check
67(1)
Chapter 1 Highlights
67(4)
Chapter 1 Review
71(6)
Chapter 1 Test
77(2)
Equations, Inequalities, and Problem Solving
79(88)
Chapter 2 Pretest
80(1)
Linear Equations in One Variable
81(10)
An Introduction to Problem Solving
91(14)
Formulas and Problem Solving
105(10)
Linear Inequalities and Problem Solving
115(16)
Integrated Review--Linear Equations and Inequalities
129(2)
Sets and Compound Inequalities
131(8)
Absolute Value Equations and Inequalities
139(28)
Activity: Room Redecorating
150(1)
Chapter 2 Vocabulary Check
151(1)
Chapter 2 Highlights
151(6)
Chapter 2 Review
157(6)
Chapter 2 Test
163(2)
Cumulative Review
165(2)
Graphs and Functions
167(90)
Chapter 3 Pretest
168(1)
Graphing Linear Equations
169(16)
The Slope of a Line
185(12)
The Slope-Intercept Form
197(8)
More Equations of Lines
205(12)
Integrated Review--Linear Equations in Two Variables
215(2)
Introduction to Functions
217(14)
Graphing Linear Inequalities
231(26)
Activity: Measuring Slope
238(1)
Chapter 3 Vocabulary Check
239(1)
Chapter 3 Highlights
239(6)
Chapter 3 Review
245(6)
Chapter 3 Test
251(4)
Cumulative Review
255(2)
Systems of Equations and Inequalities
257(68)
Chapter 4 Pretest
258(1)
Solving Systems of Linear Equations in Two Variables
259(14)
Solving Systems of Linear Equations in Three Variables
273(8)
Systems of Linear Equations and Problem Solving
281(16)
Integrated Review--Systems of Linear Equations
295(2)
Solving Systems of Equations Using Matrices
297(6)
Systems of Linear Inequalities
303(22)
Activity: Locating Lightning Strikes
310(1)
Chapter 4 Vocabulary Check
311(1)
Chapter 4 Highlights
311(6)
Chapter 4 Review
317(4)
Chapter 4 Test
321(2)
Cumulative Review
323(2)
Polynomials and Polynomial Functions
325(96)
Chapter 5 Pretest
326(1)
Adding and Subtracting Polynomials
327(12)
Multiplying Polynomials
339(10)
Dividing Polynomials
349(10)
The Greatest Common Factor and Factoring by Grouping
359(8)
Factoring Trinomials
367(10)
Factoring by Special Products
377(10)
Integrated Review--Operations on Polynomials and Factoring Strategies
385(2)
Solving Equations by Factoring and Solving Problems
387(10)
An Introduction to Graphing Polynomial Functions
397(24)
Activity: Finding the Largest Area
406(1)
Chapter 5 Vocabulary Check
407(1)
Chapter 5 Highlights
407(4)
Chapter 5 Review
411(6)
Chapter 5 Test
417(2)
Cumulative Review
419(2)
Rational Expressions
421(80)
Chapter 6 Pretest
422(1)
Multiplying and Dividing Rational Expressions
423(12)
Adding and Subtracting Rational Expressions
435(10)
Simplifying Complex Fractions
445(8)
Solving Equations Containing Rational Expressions
453(10)
Integrated Review--Expressions and Equations Containing Rational Expressions
461(2)
Rational Equations and Problem Solving
463(12)
Variation and Problem Solving
475(26)
Activity: Estimating Population Sizes
485(2)
Chapter 6 Vocabulary Check
487(1)
Chapter 6 Highlights
487(4)
Chapter 6 Review
491(6)
Chapter 6 Test
497(2)
Cumulative Review
499(2)
Rational Exponents, Radicals, and Complex Numbers
501(84)
Chapter 7 Pretest
502(1)
Radical Expressions
503(10)
Rational Exponents
513(8)
Simplifying Radical Expressions
521(8)
Adding, Subtracting, and Multiplying Radical Expressions
529(8)
Rationalizing Numerators and Denominators of Radical Expressions
537(12)
Integrated Review--Radicals and Rational Exponents
547(2)
Radical Equations and Problem Solving
549(12)
Complex Numbers
561(24)
Activity: Calculating the Length and Period of a Pendulum
570(1)
Chapter 7 Vocabulary Check
571(1)
Chapter 7 Highlights
571(4)
Chapter 7 Review
575(6)
Chapter 7 Test
581(2)
Cumulative Review
583(2)
Quadratic Equations and Functions
585(84)
Chapter 8 Pretest
586(1)
Solving Quadratic Equations by Completing the Square
587(12)
Solving Quadratic Equations by Using the Quadratic Formula
599(12)
Solving Equations by Using Quadratic Methods
611(14)
Integrated Review--Summary on Solving Quadratic Equations
623(2)
Nonlinear Inequalities in One Variable
625(8)
Quadratic Functions and Their Graphs
633(12)
Further Graphing of Quadratic Functions
645(24)
Activity: Recognizing Linear and Quadratic Models
656(1)
Chapter 8 Vocabulary Check
657(1)
Chapter 8 Highlights
657(4)
Chapter 8 Review
661(4)
Chapter 8 Test
665(2)
Cumulative Review
667(2)
Conic Sections
669(66)
Chapter 9 Pretest
670(1)
The Parabola and the Circle
671(16)
The Ellipse and the Hyperbola
687(12)
Integrated Review--Graphing Conic Sections
697(2)
Graphing Nonlinear Functions
699(6)
Solving Nonlinear Systems of Equations
705(6)
Nonlinear Inequalities and Systems of Inequalities
711(24)
Activity: Modeling Conic Sections
718(1)
Chapter 9 Vocabulary Check
719(1)
Chapter 9 Highlights
719(4)
Chapter 9 Review
723(6)
Chapter 9 Test
729(4)
Cumulative Review
733(2)
Exponential and Logarithmic Functions
735(84)
Chapter 10 Pretest
736(1)
The Algebra of Functions
737(6)
Inverse Functions
743(12)
Exponential Functions
755(10)
Logarithmic Functions
765(10)
Properties of Logarithms
775(10)
Integrated Review--Functions and Properties of Logarithms
783(2)
Common Logarithms, Natural Logarithms, and Change of Base
785(8)
Exponential and Logarithmic Equations and Problem Solving
793(26)
Activity: Modeling Temperature
802(1)
Chapter 10 Vocabulary Check
803(1)
Chapter 10 Highlights
803(4)
Chapter 10 Review
807(6)
Chapter 10 Test
813(4)
Cumulative Review
817(2)
Appendix A An Introduction to Using a Graphing Utility 819(6)
Appendix B Solving Systems of Equations Using Determinants 825(8)
Appendix C Fractions 833(8)
Appendix D Review of Angles, Lines, and Special Triangles 841(8)
Appendix E Review of Geometric Figures 849
Answers to Selected Exercises A1
Solutions to Selected Exercises A43
Index I1
Photo Credits I8

Excerpts

About This Book Algebra A Combined Approach,Second Edition is intended for a two semester course in introductory and intermediate algebra. It was written to provide a solid foundationin algebra for students who might have had no previous experience in algebra. Specific care was taken to ensure that students have the most up-to-date relevanttext preparation for their next mathematics course or for nonmathematical courses that require an understanding of algebraic fundamentals. I have tried to achieve this by writing a user-friendly text that is keyed to objectives and contains many worked-out examples. As suggested by the AMATYC Crossroads Document and the NCTM Standards (plus Addenda), real-life and real-data applications, data interpretation, conceptual understanding, problem solving, writing, cooperative learning, appropriate use of technology, mental mathematics, number sense, critical thinking, and geometric concepts are emphasized and integrated throughout the book. The many factors that contributed to the success of the first edition have been retained. In preparing the Second Edition, I considered comments and suggestions of colleagues, students, and many users of the prior edition throughout the country. Algebra A Combined Approach,Second Edition is part of a series of texts that can include Basic College Mathematics,Second Edition; Prealgebra,Third Edition; Introductory Algebra,Second Edition; and Intermediate Algebra,Second Edition. Throughout the series pedagogical features are designed to develop student proficiency in algebra and problem solving, and to prepare students for future courses.


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