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Beginning and Intermediate Algebra

ISBN: 9780131492035 | 0131492039
Edition: 2nd
Format: Paperback
Publisher: Prentice Hall
Pub. Date: 1/1/2006

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SummaryTable of Contents
Normal 0 false false false MicrosoftInternetExplorer4 A worktext format for basic college math or arithmetic courses including lecture-based, self-paced, and modular classes. John Tobey and Jeff Slater are experienced developmental math authors and active classroom teachers. The Tobey approach focuses on building skills one at a time by breaking math down into manageable pieces. This building block organization is a practical approach to basic math skill development that makes it easier for students to understand each topic, gaining confidence ... MORE
To the Studenti
Prefacexiii
Acknowledgmentsxx
Diagnostic Pretestxxiv
Prealgebra Review
1... MORE
Simplifying Fractions
2(9)
Adding and Subtracting Fractions
11(11)
Multiplying and Dividing Fractions
22(9)
How Am I Doing? Sections 0.1--0.3
30(1)
Using Decimals
31(11)
Percents, Rounding, and Estimating
42(17)
Organizer
53(2)
Review Problems
55(2)
How Am I Doing? Chapter 0 Test
57(2)
Real Numbers and Variables
59(66)
Adding Real Numbers
60(11)
Subtracting Real Numbers
71(5)
Multiplying and Dividing Real Numbers
76(10)
Exponents
86(4)
The Order of Operations
90(5)
How Am I Doing? Sections 1.1--1.5
94(1)
Using the Distributive Property to Simplify Algebraic Expressions
95(5)
Combining Like Terms
100(5)
Using Substitution to Evaluate Algebraic Expressions and Formulas
105(8)
Grouping Symbols
113(12)
Chapter 1 Organizer
118(1)
Chapter 1 Review Problems
119(4)
How Am I Doing? Chapter 1 Test
123(2)
Equations, Inequalities, and Applications
125(78)
The Addition Principle of Equality
126(6)
The Multiplication Principle of Equality
132(6)
Using the Addition and Multiplication Principles Together
138(7)
Solving Equations with Fractions
145(9)
How Am I Doing? Sections 2.1--2.4
153(1)
Translating English Phrases into Algebraic Expressions
154(6)
Using Equations to Solve Word Problems
160(9)
Solving Word Problems Using Geometric Formulas
169(12)
Solving Inequalities in One Variable
181(22)
Chapter 2 Organizer
193(2)
Chapter 2 Review Problems
195(5)
How Am I Doing? Chapter 2 Test
200(2)
Cumulative Test for Chapters 0-2
202(1)
Graphing and Functions
203(68)
The Rectangular Coordinate System
204(12)
Graphing Linear Equations
216(10)
The Slope of a Line
226(13)
How Am I Doing? Sections 3.1--3.3
237(2)
Writing the Equation of a Line
239(4)
Graphing Linear Inequalities
243(5)
Functions
248(23)
Chapter 3 Organizer
260(2)
Chapter 3 Review Problems
262(5)
How Am I Doing? Chapter 3 Test
267(2)
Cumulative Test for Chapters 0-3
269(2)
Systems of Linear Equations and Inequalities
271(52)
Systems of Linear Equations in Two Variables
272(14)
Systems of Linear Equations in Three Variables
286(8)
How Am I Doing? Sections 4.1--4.2
293(1)
Applications of Systems of Linear Equations
294(11)
Systems of Linear Inequalities
305(18)
Chapter 4 Organizer
314(2)
Chapter 4 Review Problems
316(4)
How Am I Doing? Chapter 4 Test
320(1)
Cumulative Test for Chapters 0-4
321(2)
Exponents and Polynomials
323(52)
The Rules of Exponents
324(9)
Negative Exponents and Scientific Notation
333(7)
Fundamental Polynomial Operations
340(7)
How Am I Doing? Sections 5.1--5.3
346(1)
Multiplying Polynomials
347(6)
Multiplication: Special Cases
353(7)
Dividing Polynomials
360(15)
Chapter 5 Organizer
368(1)
Chapter 5 Review Problems
369(4)
How Am I Doing? Chapter 5 Test
373(1)
Cumulative Test for Chapters 0-5
374(1)
Factoring
375(52)
Removing a Common Factor
376(5)
Factoring by Grouping
381(5)
Factoring Trinomials of the Form X2 + bx + c
386(7)
Factoring Trinomials of the Form ax2 + bx + c
393(7)
How Am I Doing? Sections 6.1--6.4
399(1)
Special Cases of Factoring
400(6)
A Brief Review of Factoring
406(4)
Solving Quadratic Equations by Factoring
410(17)
Chapter 6 Organizer
420(1)
Chapter 6 Review Problems
421(4)
How Am I Doing? Chapter 6 Test
425(1)
Cumulative Test for Chapters 0-6
426(1)
Rational Expressions and Equations
427(50)
Simplifying Rational Expressions
428(6)
Multiplying and Dividing Rational Expressions
434(5)
Adding and Subtracting Rational Expressions
439(9)
How Am I Doing? Sections 7.1--7.3
447(1)
Simplifying Complex Rational Expressions
448(5)
Solving Equations Involving Rational Expressions
453(5)
Ratio, Proportion, and Other Applied Problems
458(19)
Chapter 7 Organizer
468(2)
Chapter 7 Review Problems
470(5)
How Am I Doing? Chapter 7 Test
475(1)
Cumulative Test for Chapters 0-7
476(1)
Rational Exponents and Radicals
477(66)
Rational Exponents
478(7)
Radical Expressions and Functions
485(8)
Simplifying, Adding, and Subtracting Radicals
493(6)
Multiplying and Dividing Radicals
499(11)
How Am I Doing? Sections 8.1--8.4
509(1)
Radical Equations
510(6)
Complex Numbers
516(8)
Variation
524(19)
Chapter 8 Organizer
532(3)
Chapter 8 Review Problems
535(4)
How Am I Doing? Chapter 8 Test
539(2)
Cumulative Test for Chapters 0-8
541(2)
Quadratic Equations and Inequalities
543(82)
Quadratic Equations
544(7)
The Quadratic Formula and Solutions to Quadratic Equations
551(9)
Equations That Can Be Transformed into Quadratic Form
560(8)
How Am I Doing? Sections 9.1--9.3
567(1)
Formulas and Applications
568(11)
Quadratic Functions
579(9)
Compound Inequalities and Quadratic Inequalities
588(12)
Absolute Value Equations and Inequalities
600(25)
Chapter 9 Organizer
612(4)
Chapter 9 Review Problems
616(5)
How Am I Doing? Chapter 9 Test
621(2)
Cumulative Test for Chapters 0-9
623(2)
The Conic Sections
625(54)
The Distance Formula and the Circle
626(8)
The Parabola
634(11)
The Ellipse
645(9)
How Am I Doing? Sections 10.1--10.3
653(1)
The Hyperbola
654(8)
Nonlinear Systems of Equations
662(17)
Chapter 10 Organizer
669(3)
Chapter 10 Review Problems
672(3)
How Am I Doing? Chapter 10 Test
675(2)
Cumulative Test for Chapters 0-10
677(2)
Additional Properties of Functions
679(44)
Function Notation
680(6)
General Graphing Procedures for Functions
686(9)
How Am I Doing? Sections 11.1--11.2
694(1)
Algebraic Operations on Functions
695(7)
Inverse of a Function
702(21)
Chapter 11 Organizer
712(2)
Chapter 11 Review Problems
714(5)
How Am I Doing? Chapter 11 Test
719(2)
Cumulative Test for Chapters 0-11
721(2)
Logarithmic and Exponential Functions
723(52)
The Exponential Function
724(9)
The Logarithmic Function
733(7)
Properties of Logarithms
740(8)
How Am I Doing? Sections 12.1--12.3
747(1)
Common Logarithms, Natural Logarithms, and Change of Base of Logarithms
748(8)
Exponential and Logarithmic Equations
756(19)
Chapter 12 Organizer
768(2)
Chapter 12 Review Problems
770(2)
How Am I Doing? Chapter 12 Test
772(1)
Cumulative Test for Chapters 0-12
773(2)
Practice Final Examination
775
Glossary
1(1)
Appendix A: Foundations for Intermediate Algebra
1(42)
Integer Exponents, Square Roots, Order of Operations, and Scientific Notation
1(12)
Polynomial Operations
13(7)
Factoring Polynomials
20(10)
Special Cases of Factoring
30(8)
The Point-Slope Form of a Line
38(5)
Appendix B: Using the Mathematics Blueprint for Problem Solving
43(7)
Appendix C: Practice with Operations of Whole Numbers
50(2)
Appendix D: Tables
52(2)
Table D-1: Table of Square Roots
52(1)
Table D-2: Exponential Values
53(1)
Appendix E: Determinants and Cramer's Rule
54(8)
Appendix F: Solving Systems of Linear Equations Using Matrices
62(5)
Appendix G: Sets
67
Solutions to Practice Problems1(1)
Answers to Selected Exercises1(1)
Applications Index1(4)
Subject Index5
Photo Credits1

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