Beginning and Intermediate Algebra

by Tobey, John Jr; Slater, Jeffrey; Blair, Jamie

• ISBN13: 9780130909497
• ISBN10: 0130909491
• Edition: 2nd
• Format: Paperback
• Copyright: 2006-01-01
• Publisher: PRENTICE HALL

Summary

Provides clear, accessible treatment of mathematics, featuring 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. Softcover.

Table of Contents

Preface	xiii
Acknowledgments	xx
To the Student	xxviii
Diagnostic Pretest	xxx
Real Numbers and Variables	1	(62)
Pretest Chapter 1	2	(1)
Addition of Real Numbers	3	(10)
Subtraction of Real Numbers	13	(5)
Multiplication and Division of Real Numbers	18	(10)
Exponents	28	(3)
Order of Arithmetic Operations	31	(3)
Using the Distributive Property to Simplify Expressions	34	(5)
Combining Like Terms	39	(5)
Using Substitution to Evaluate Expressions and Formulas	44	(7)
Putting Your Skills to Work: Measuring Your Level of Fitness	50	(1)
Grouping Symbols	51	(12)
Putting Your Skills to Work: Consumer Price Index	55	(1)
Math in the Media	56	(1)
Chapter 1 Organizer	57	(2)
Chapter 1 Review Problems	59	(3)
Chapter 1 Test	62	(1)
Equations, Inequalities, and Applications	63	(78)
Pretest Chapter 2	64	(2)
The Addition Principle	66	(6)
The Multiplication Principle	72	(6)
Using the Addition and Multiplication Principles Together	78	(7)
Equations with Fractions	85	(7)
Formulas	92	(7)
Putting Your Skills to Work: Controlling Emissions Levels	98	(1)
Writing and Graphing Inequalities	99	(5)
Solving Inequalities	104	(8)
Solving Word Problems: Comparisons	112	(6)
Solving Word Problems: The Value of Money and Percents	118	(23)
Putting Your Skills to Work: Automobile Loans and Installment Loans	128	(1)
Math in the Media	129	(1)
Chepter 2 Organizer	130	(3)
Chapter 2 Review Problems	133	(4)
Chapter 2 Test	137	(2)
Cumulative Test for Chapters 1-2	139	(2)
Graphing and Functions	141	(70)
Pretest Chapter 3	142	(2)
Rectangular Coordinate Systems	144	(10)
Graphing Linear Equations	154	(10)
Slope of a Line	164	(14)
Putting Your Skills to Work: Underwater Pressure	176	(2)
Obtaining the Equation of a Line	178	(5)
Graphing Linear Inequalities	183	(5)
Functions	188	(23)
Putting Your Skills to Work: Graphing the Size of Rain Forests	199	(1)
Math in the Media	200	(1)
Chapter 3 Organizer	201	(2)
Chapter 3 Review Problems	203	(4)
Chapter 3 Test	207	(2)
Cumulative Test for Chapter 1-3	209	(2)
Systems of Linear Equations and Inequalities	211	(50)
Pretest Chapter 4	212	(1)
Systems of Equations in Two Variables	213	(13)
Putting Your Skills to Work: Endangered Species	225	(1)
Systems of Equations in Three Variables	226	(7)
Applications of Systems of Linear Equations	233	(11)
Systems of Linear Inequalities	244	(17)
Math in the Media	251	(1)
Chapter 4 Organizer	252	(2)
Chapter 4 Review Problems	254	(4)
Chapter 4 Test	258	(1)
Cumulative Test for Chapter 1-4	259	(2)
Exponents and Polynomials	261	(58)
Pretest Chapter 5	262	(2)
The Rules of Exponents	264	(9)
Negative Exponents and Scientific Notation	273	(9)
Putting Your Skills to Work: The Mathematics of Forests	281	(1)
Fundamental Polynomial Operations	282	(5)
Multiplication of Polynomials	287	(6)
Multiplication: Special Cases	293	(7)
Putting Your Skills to Work: The Mathemetics of DNA	299	(1)
Division of Polynomials	300	(19)
Putting Your Skills to Work: The Enrollment Polynomial	307	(1)
Math in the Media	308	(1)
Chapter 5 Organizer	309	(2)
Chapter 5 Review Problems	311	(4)
Chapter 5 Test	315	(1)
Cumulative Test for Chapter 1-5	316	(3)
Factoring	319	(52)
Pretest Chapter 6	320	(1)
Introduction to Factoring	321	(5)
Factor by Grouping	326	(4)
Factoring Trinomials of the Form x2 + bx + c	330	(7)
Factoring Trinomials of the Form ax2 + bx + c	337	(6)
Special Cases of Factoring	343	(5)
A Brief Review of Factoring	348	(4)
Solving Quadratic Equations by Factoring	352	(19)
Putting Your Skills to Work: Predicting Total Earnings by a Mathematical Series	360	(1)
Math in the Media	361	(1)
Chapter 6 Organizer	362	(1)
Chapter 6 Review Problems	363	(3)
Putting Your Skills to Work: The Sum-of-the-Digits Depreciation Method	366	(2)
Chapter 6 Test	368	(1)
Cumulative Test for Chapter 1-6	369	(2)
Rational Expressions and Equations	371	(52)
Pretest Chapter 7	372	(1)
Simplifying Rational Expressions	373	(6)
Multiplication and Division of Rational Expressions	379	(5)
Addition and Subtraction of Rational Expressions	384	(10)
Putting Your Skills to Work: Estimating the Surplus or Deficit	392	(2)
Simplifying Complex Rational Expressions	394	(5)
Equations Involving Rational Expressions	399	(5)
Ratio, Proportion, and Other Applied Problems	404	(19)
Putting Your Skills to Work: Mathematical Measurement of Planet Orbit Time	412	(1)
Math in the Media	413	(1)
Chapter 7 Organizer	414	(2)
Chapter 7 Review Problems	416	(3)
Chapter 7 Test	419	(1)
Cumulative Test for Chapter 1-7	420	(3)
Rational Exponents and Radicals	423	(64)
Pretest Chapter 8	424	(1)
Rational Exponents	425	(7)
Radical Expressions and Functions	432	(8)
Simplifying, Adding, and Subtracting Radicals	440	(5)
Multiplication and Division of Radicals	445	(9)
Radical Equations	454	(6)
Complex Numbers	460	(8)
Variation	468	(19)
Math in the Media	475	(1)
Chapter 8 Organizer	476	(3)
Putting Your Skills to Work: The Sailor's Observation Formula	479	(1)
Chapter 8 Review Problems	480	(3)
Chapter 8 Test	483	(2)
Cumulative Test for Chapter 1-8	485	(2)
Quadratic Equations, Inequalities, and Absolute Value	487	(76)
Pretest Chapter 9	488	(3)
Quadratic Equations	491	(6)
The Quadratic Formula and Solutions to Quadratic Equations	497	(8)
Equations That Can Be Transformed into Quadratic Form	505	(6)
Formulas and Applications	511	(10)
Quadratic Functions	521	(8)
Quadratic Inequalities in One Variable	529	(8)
Putting Your Skills to Work: The Mathematics of the Hoover Dam	536	(1)
Absolute Value Equations	537	(5)
Absolute Value Inequalities	542	(21)
Math in the Media	549	(1)
Chapter 9 Organizer	550	(3)
Chapter 9 Review Problems	553	(6)
Chapter 9 Test	559	(2)
Cumulative Test for Chapter 1-9	561	(2)
The Conic Sections	563	(58)
Pretest Chapter 10	564	(2)
The Distance Formula and the Circle	566	(8)
The Parabola	574	(11)
The Ellipse	585	(8)
The Hyperbola	593	(8)
Nonlinear Systems of Equations	601	(20)
Putting Your Skills to Work: Locating the Center of an Earthquake Mathematically	608	(2)
Math in the Media	610	(1)
Chapter 10 Organizer	611	(3)
Chapter 10 Review Problems	614	(3)
Chapter 10 Test	617	(2)
Cumulative Test for Chapter 1-10	619	(2)
An Advanced Look at Functions	621	(50)
Pretest Chapter 11	622	(2)
Function Notation	624	(6)
General Graphing Procedures for Functions	630	(8)
Algebraic Operations on Functions	638	(8)
Inverse of a Function	646	(25)
Math in the Media	656	(1)
Chapter 11 Organizer	657	(3)
Putting Your Skills to Work: Using Polynomial Functions for Mathematical Modeling	660	(2)
Chapter 11 Review Problems	662	(4)
Chapter 11 Test	666	(2)
Cumulative Test for Chapter 1-11	668	(3)
Logarithmic and Exponential Functions	671	(55)
Pretest Chapter 12	672	(1)
The Exponential Function	673	(9)
The Logarithmic Function	682	(8)
Properties of Logarithms	690	(7)
Finding Logarithmic Function Values on a Calculator	697	(7)
Exponential and Logarithmic Equations	704	(22)
Putting Your Skills to Work: Newton's Law of Cooling	715	(2)
Math in the Media	717	(1)
Chapter 12 Organizer	718	(2)
Chapter 12 Review Problems	720	(3)
Chapter 12 Test	723	(1)
Cumulative Test for Chapter 1-12	724	(2)
Practice Final Examination	726
Glossary	1	(2)
Appendix A: Tables
Table A-1: Table of Sqaure Roots	1	(1)
Table A-2: Table of Exponential Values	2	(1)
Appendix B: Mathematics Blueprint for Problem Solving	3	(6)
Appendix C: Interpreting Data from Tables, Charts, and Graphs	9	(10)
Appendix D: Inductive and Deductive Reasoning	19	(7)
Appendix E: Determinats and Cramer's Rule	26	(8)
Appendix F: Sets	34
Solutions to Practice Problems	1	(1)
Selected Answers	1	(1)
Applications Index	1	(4)
Subject Index	5
Photo Credits	1