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Elementary and Intermediate Algebra,9780321368546
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Elementary and Intermediate Algebra

by ;
Edition:
2nd
ISBN13:

9780321368546

ISBN10:
0321368541
Format:
Hardcover
Pub. Date:
1/1/2007
Publisher(s):
Addison Wesley
List Price: $170.67
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Summary

While using Elementary and Intermediate Algebra, Second Edition, you will find that the text focuses on building competence and confidence. The authors present the concepts, show how to do the math, and explain the reasoning behind it in a language you can understand. The text ties concepts together using the Algebra Pyramid, which will help you see the big picture of algebra. The skills Carson presents through both the Learning Strategy boxes and the Study System, introduced in the Preface and incorporated throughout the text, will not only enhance your algebra experience but will also help you succeed in future college courses. Book jacket.

Table of Contents

Preface vii
To the Student xvii
Learning Styles Inventory xxiii
Foundations of Algebra
1(100)
Number Sets and the Structure of Algebra
2(9)
Fractions
11(13)
Adding and Subtracting Real Numbers; Properties of Real Numbers
24(17)
Multiplying and Dividing Real Numbers; Properties of Real Numbers
41(15)
Exponents, Roots, and Order of Operations
56(14)
Translating Word Phrases to Expressions
70(8)
Evaluating and Rewriting Expressions
78(23)
Summary
89(6)
Review Exercises
95(4)
Practice Test
99(2)
Solving Linear Equations and Inequalities
101(88)
Equations, Formulas, and the Problem-Solving Process
102(16)
The Addition Principle
118(14)
The Multiplication Principle
132(15)
Applying the Principles to Formulas
147(6)
Translating Word Sentences to Equations
153(11)
Solving Linear Inequalities
164(25)
Summary
177(5)
Review Exercises
182(4)
Practice Test
186(3)
Problem Solving
189(78)
Ratios and Proportions
190(15)
Percents
205(16)
Problems with Two or More Unknowns
221(15)
Rates
236(8)
Investment and Mixture
244(23)
Summary
252(5)
Review Exercises
257(5)
Practice Test
262(2)
Cumulative Review Exercises
264(3)
Graphing Linear Equations and Inequalities
267(106)
The Rectangular Coordinate System
268(9)
Graphing Linear Equations
277(12)
Graphing Using Intercepts
289(10)
Slope-Intercept Form
299(14)
Point-Slope Form
313(14)
Graphing Linear Inequalities
327(10)
Introduction to Functions and Function Notation
337(36)
Summary
355(8)
Review Exercises
363(7)
Practice Test
370(3)
Polynomials
373(86)
Exponents and Scientific Notation
374(13)
Introduction to Polynomials
387(13)
Adding and Subtracting Polynomials
400(11)
Exponent Rules and Multiplying Monomials
411(12)
Multiplying Polynomials; Special Products
423(12)
Exponent Rules and Dividing Polynomials
435(24)
Summary
451(3)
Review Exercises
454(4)
Practice Test
458(1)
Factoring
459(78)
Greatest Common Factor and Factoring by Grouping
460(11)
Factoring Trinomials of the Form x2 + bx + c
471(7)
Factoring Trinomials of the Form ax2 + bx + c, where a ≠ 1
478(9)
Factoring Special Products
487(9)
Strategies for Factoring
496(6)
Solving Quadratic Equations by Factoring
502(13)
Graphs of Quadratic Equations and Functions
515(22)
Summary
525(5)
Review Exercises
530(3)
Practice Test
533(1)
Cumulative Review Exercises
534(3)
Rational Expressions and Equations
537(92)
Simplifying Rational Expressions
538(14)
Multiplying and Dividing Rational Expressions
552(11)
Adding and Subtracting Rational Expressions with the Same Denominator
563(7)
Adding and Subtracting Rational Expressions with Different Denominators
570(12)
Complex Rational Expressions
582(9)
Solving Equations Containing Rational Expressions
591(10)
Applications with Rational Expressions
601(28)
Summary
615(7)
Review Exercises
622(4)
Practice Test
626(3)
More on Inequalities, Absolute Value, and Functions
629(58)
Compound Inequalities
630(14)
Equations Involving Absolute Value
644(5)
Inequalities Involving Absolute Value
649(8)
Functions and Graphing
657(12)
Function Operations
669(18)
Summary
676(4)
Review Exercises
680(5)
Practice Test
685(2)
Systems of Equations
687(96)
Solving Systems of Linear Equations Graphically
688(11)
Solving Systems of Linear Equations by Substitution
699(11)
Solving Systems of Linear Equations by Elimination
710(12)
Solving Systems of Linear Equations in Three Variables
722(14)
Solving Systems of Linear Equations Using Matrices
736(11)
Solving Systems of Linear Equations Using Cramer's Rule
747(10)
Solving Systems of Linear Inequalities
757(26)
Summary
767(6)
Review Exercises
773(4)
Practice Test
777(2)
Cumulative Review Exercises
779(4)
Rational Exponents, Radicals, and Complex Numbers
783(88)
Radical Expressions and Functions
784(12)
Rational Exponents
796(12)
Multiplying, Dividing, and Simplifying Radicals
808(9)
Adding, Subtracting, and Multiplying Radical Expressions
817(9)
Rationalizing Numerators and Denominators of Radical Expressions
826(12)
Radical Equations and Problem Solving
838(11)
Complex Numbers
849(22)
Summary
857(6)
Review Exercises
863(6)
Practice Test
869(2)
Quadratic Equations
871(76)
Completing the Square
872(13)
Solving Quadratic Equations Using the Quadratic Formula
885(12)
Solving Equations That Are Quadratic in Form
897(11)
Graphing Quadratic Functions
908(15)
Solving Nonlinear Inequalities
923(24)
Summary
936(5)
Review Exercises
941(4)
Practice Test
945(2)
Exponential and Logarithmic Functions
947(84)
Composite and Inverse Functions
948(14)
Exponential Functions
962(12)
Logarithmic Functions
974(10)
Properties of Logarithms
984(9)
Common and Natural Logarithms
993(7)
Exponential and Logarithmic Equations with Applications
1000(31)
Summary
1014(9)
Review Exercises
1023(6)
Practice Test
1029(2)
Conic Sections
1031
The Parabola and Circle
1032(14)
Ellipses and Hyperboals
1046(14)
Nonlinear Systems of Equations
1060(7)
Nonlinear Inequalities and Systems of Inequalities
1067
Summary
1075(7)
Review Exercises
1082(5)
Practice Test
1087(2)
Cumulative Review Exercises
1089
Elementary Algebra Review
Review of Expressions
1(2)
Review of Solving Linear Equations
3(5)
Review of Graphing Linear Equations
8(7)
Review of Polynomials
15(5)
Review of Factoring
20
Appendix A Arithmetic Sequences and Series 1(10)
Appendix B Geometric Sequences and Series 11(10)
Appendix C The Binomial Theorem 21(6)
Appendix D Permutations and Combinations 27(6)
Appendix E Probability 33
Answers (Student edition only) 1(1)
Glossary 1(1)
Index 1(1)
Applications Index 1(1)
Photograph Credits 1


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