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Elementary and Intermediate Algebra,9780131915053

Elementary and Intermediate Algebra

by ; ;
Edition:
1st
ISBN13:

9780131915053

ISBN10:
0131915053
Format:
Hardcover
Pub. Date:
1/1/2007
Publisher(s):
Pearson College Div
List Price: $170.67

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Summary

Normal 0 false false false MicrosoftInternetExplorer4 Intended for a 2-semester sequence of ElementaryandIntermediate Algebrawhere students get a solid foundation in algebra, including exposure to functions, which prepares them for success in College Algebra or their next math course. Operations on Real Numbers and Algebraic Expressions; Equations and Inequalities in One Variable; Introduction to Graphing and Equations of Lines; Systems of Linear Equations and Inequalities; Exponents and Polynomials; Factoring Polynomials; Rational Expressions and Equations; Graphs, Relations, and Functions; Radicals and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conics; Sequences, Series, and The Binomial Theorem; Review of Fractions, Decimals, and Percents; Division of Polynomials; Synthetic Division; The Library of Functions; Geometry; More on Systems of Equations For all readers interested in elementary and intermediate algebra.

Table of Contents

Preface viii
Operations on Real Numbers and Algebraic Expressions
1(73)
Success in Mathematics
2(6)
The Number Systems and the Real Number Line
8(10)
Adding, Subtracting, Multiplying, and Dividing Integers
18(10)
Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals
28(13)
Putting the Concepts Together (Sections 1.2--1.4)
40(1)
Properties of Real Numbers
41(8)
Exponents and the Order of Operations
49(8)
Simplifying Algebraic Expressions
57(17)
Chapter 1 Activity: The Math Game
65(1)
Chapter 1 Review
66(7)
Chapter 1 Test
73(1)
Equations and Inequalities in One Variable
74(100)
Linear Equations: The Addition and Multiplication Properties of Equality
75(9)
Linear Equations: Using the Properties Together
84(9)
Solving Linear Equations Involving Fractions and Decimals; Classifying Equations
93(10)
Evaluating Formulas and Solving Formulas for a Variable
103(14)
Putting the Concepts Together (Sections 2.1--2.4)
116(1)
Introduction to Problem Solving: Direct Translation Problems
117(14)
Problem Solving: Direct Translation Problems Involving Percent
131(8)
Problem Solving: Geometry and Uniform Motion
139(11)
Solving Linear Inequalities in One Variable
150(24)
Chapter 2 Activity: Pass to the Right
164(1)
Chapter 2 Review
165(7)
Chapter 2 Test
172(2)
Introduction to Graphing and Equations of Lines
174(98)
The Rectangular Coordinate System and Equations in Two Variables
175(16)
Graphing Equations in Two Variables
191(15)
Slope
206(11)
Slope-Intercept Form of a Line
217(10)
Point-Slope Form of a Line
227(8)
Parallel and Perpendicular Lines
235(10)
Putting the Concepts Together (Sections 3.1--3.6)
244(1)
Variation
245(7)
Linear Inequalities in Two Variables
252(20)
Chapter 3 Activity: Graphing Practice
261(1)
Chapter 3 Review
262(8)
Chapter 3 Test
270(1)
Cumulative Review Chapters 1--3
271(1)
Systems of Linear Equations and Inequalities
272(71)
Solving Systems of Linear Equations by Graphing
273(12)
Solving Systems of Linear Equations Using Substitution
285(11)
Solving Systems of Linear Equations Using Elimination
296(11)
Putting the Concepts Together (Sections 4.1--4.3)
306(1)
Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations
307(7)
Solving Mixture Problems Using Systems of Linear Equations
314(12)
Systems of Linear Inequalities
326(17)
Chapter 4 Activity: Find the Numbers
334(1)
Chapter 4 Review
334(7)
Chapter 4 Test
341(2)
Exponents and Polynomials
343(64)
Adding and Subtracting Polynomials
344(10)
Multiplying Monomials: The Product and Power Rules
354(6)
Multiplying Polynomials
360(11)
Dividing Monomials: The Quotient Rule and Integer Exponents
371(12)
Putting the Concepts Together (Sections 5.1--5.4)
383(1)
Dividing Polynomials
383(8)
Applying Exponent Rules: Scientific Notation
391(16)
Chapter 5 Activity: What Is the Question?
398(2)
Chapter 5 Review
400(4)
Chapter 5 Test
404(1)
Cumulative Review Chapters 1--5
405(2)
Factoring Polynomials
407(67)
Greatest Common Factor and Factoring by Grouping
408(10)
Factoring Trinomials of the Form x2 + bx + c
418(9)
Factoring Trinomials of the Form ax2 + bx + c, a 1
427(9)
Factoring Special Products
436(8)
Summary of Factoring Techniques
444(7)
Putting the Concepts Together (Sections 6.1--6.5)
450(1)
Solving Polynomial Equations by Factoring
451(9)
Modeling and Solving Problems with Quadratic Equations
460(14)
Chapter 6 Activity: Which One Does Not Belong?
468(1)
Chapter 6 Review
469(4)
Chapter 6 Test
473(1)
Getting Ready for Intermediate Algebra: A Review of Chapters 1--6
474(89)
Rational Expressions and Equations
476(87)
Simplifying Rational Expressions
477(8)
Multiplying and Dividing Rational Expressions
485(9)
Adding and Subtracting Rational Expressions with a Common Denominator
494(7)
Finding the Least Common Denominator and Forming Equivalent Rational Expressions
501(8)
Adding and Subtracting Rational Expressions with Unlike Denominators
509(11)
Complex Rational Expressions
520(9)
Putting the Concepts Together (Sections 7.1--7.6)
528(1)
Rational Equations
529(12)
Models Involving Rational Equations
541(22)
Chapter 7 Activity: Correct the Quiz
555(1)
Chapter 7 Review
556(5)
Chapter 7 Test
561(2)
Getting Ready for Intermediate Algebra: A Review of Chapters 1--7
563
Graphs, Relations, and Functions
565(94)
Graphs of Equations
566(11)
Relations
577(7)
Putting the Concepts Together (Sections 8.1--8.2)
584(1)
An Introduction to Functions
584(13)
Functions and Their Graphs
597(10)
Linear Functions
607(14)
Compound Inequalities
621(11)
Absolute Value Equations and Inequalities
632(27)
Chapter 8 Activity: Shifting Discovery
644(1)
Chapter 8 Review
644(12)
Chapter 8 Test
656(3)
Radicals and Rational Exponents
659(84)
Square Roots
660(6)
nth Roots and Rational Exponents
666(8)
Simplify Expressions Using the Laws of Exponents
674(6)
Simplifying Radical Expressions
680(12)
Adding, Subtracting, and Multiplying Radical Expressions
692(7)
Rationalizing Radical Expressions
699(6)
Putting the Concepts Together (Sections 9.1--9.6)
705(1)
Functions Involving Radicals
705(7)
Radical Equations and Their Applications
712(10)
The Complex Number System
722(21)
Chapter 9 Activity: Which One Does Not Belong?
733(1)
Chapter 9 Review
734
Chapter 9 Test
714(27)
Cumulative Review Chapters 1--9
741(2)
Quadratic Equations and Functions
743(94)
Solving Quadratic Equations by Completing the Square
744(13)
Solving Quadratic Equations by the Quadratic Formula
757(15)
Solving Equations Quadratic in Form
772(9)
Putting the Concepts Together (Sections 10.1--10.3)
780(1)
Graphing Quadratic Functions Using Transformations
781(14)
Graphing Quadratic Functions Using Properties
795(16)
Quadratic Inequalities
811(10)
Rational Inequalities
821(16)
Chapter 10 Activity: Presidential Decision Making
827(1)
Chapter 10 Review
828(7)
Chapter 10 Test
835(2)
Exponential and Logarithmic Functions
837(75)
Composite Functions and Inverse Functions
838(14)
Exponential Functions
852(18)
Logarithmic Functions
870(14)
Putting the Concepts Together (Sections 11.1--11.3)
883(1)
Properties of Logarithms
884(10)
Exponential and Logarithmic Equations
894(18)
Chapter 11 Activity: Correct the Quiz
903(1)
Chapter 11 Review
904(5)
Chapter 11 Test
909(1)
Cumulative Review Chapters 1--11
910(2)
Conics
912(61)
Distance and Midpoint Formulas
913(7)
Circles
920(7)
Parabolas
927(11)
Ellipses
938(11)
Hyperbolas
949(9)
Putting the Concepts Together (Sections 12.1--12.5)
957(1)
Nonlinear Systems of Equations
958(15)
Chapter 12 Activity: How Do You Know That . . . ?
966(1)
Chapter 12 Review
966(6)
Chapter 12 Test
972(1)
Sequences, Series, and the Binomial Theorem
973
Sequences
974(8)
Arithmetic Sequences
982(8)
Geometric Sequences and Series
990(12)
Putting the Concepts Together (Sections 13.1--13.3)
1001(1)
The Binomial Theorem
1002
Chapter 13 Activity: Pass to the Right
1008(1)
Chapter 13 Review
1008(4)
Chapter 13 Test
1012(1)
Cumulative Review Chapters 1--13
1013
Appendix A: Fractions, Decimals, and Percents 1(1)
Appendix B: Synthetic Division 1(1)
Appendix C: Geometry Review 1(1)
Appendix D: The Library of Functions 1(1)
Appendix E: More on Systems of Linear Equations 1(1)
Appendix F: Table of Square Roots 1(1)
Answers to Quick Check Exercises 1(1)
Answers to Selected Exercises 1(1)
Applications Index 1(1)
Subject Index 1(1)
Photo Credits 1


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