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Intermediate Algebra,9780201729191
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Intermediate Algebra

by ; ;
ISBN13:

9780201729191

ISBN10:
0201729199
Format:
Hardcover
Pub. Date:
1/1/2005
Publisher(s):
Addison Wesley

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Summary

Intermediate Algebra is a book for the student. The authors' goal is to help build students' confidence, their understanding and appreciation of math, and their basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. Unfortunately, students who place into developmental math courses often struggle with math anxiety due to bad experiences in past math courses. Developmental students often have never developed nor applied a study system in mathematics. To address these needs, the authors have framed three goals for Intermediate Algebra: 1) reduce math anxiety, 2) teach for understanding, and 3) foster critical thinking and enthusiasm. The authors' writing style is extremely student-friendly. They talk to students in their own language and walk them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the "monkey-see, monkey-do" approach that some books take.

Table of Contents

Preface vi
To the Student xii
Learning Styles Inventory xviii
Real Numbers and Expressions
1(54)
Sets and the Structure of Algebra
2(11)
Operations with Real Numbers; Properties of Real Numbers
13(13)
Exponents, Roots, and Order of Operations
26(10)
Evaluating and Rewriting Expressions
36(19)
Summary
47(4)
Review Exercises
51(3)
Practice Test
54(1)
Linear Equations and Inequalities in One Variable
55(78)
Linear Equations and Formulas
56(11)
Solving Problems
67(15)
Solving Linear Inequalities
82(13)
Compound Inequalities
95(13)
Equations Involving Absolute Value
108(5)
Inequalities Involving Absolute Value
113(20)
Summary
121(6)
Review Exercises
127(4)
Practice Test
131(2)
Equations and Inequalities in Two Variables and Functions
133(96)
Graphing Linear Equations
134(16)
The Slope of a Line
150(15)
The Equation of a Line
165(14)
Graphing Linear Inequalities
179(10)
Introduction to Functions and Function Notation
189(40)
Summary
209(6)
Review Exercises
215(7)
Practice Test
222(3)
Cumulative Review Exercises
225(4)
Systems of Linear Equations and Inequalities
229(88)
Solving Systems of Linear Equations in Two Variables
230(21)
Solving Systems of Linear Equations in Three Variables
251(8)
Solving Applications Using Systems of Equations
259(15)
Solving Systems of Linear Equations Using Matrices
274(11)
Cramer's Rule
285(10)
Solving Systems of Linear Inequalities
295(22)
Summary
305(6)
Review Exercises
311(4)
Practice Test
315(2)
Polynomials
317(72)
Exponents Scientific Notation
318(14)
Polynomials and Polynomial Functions
332(16)
Multiplying Polynomials
348(12)
Dividing Polynomials
360(10)
Synthetic Division and the Remainder Theorem
370(19)
Summary
377(5)
Review Exercises
382(4)
Practice Test
386(3)
Factoring
389(62)
Greatest Common Factor and Factoring by Grouping
390(9)
Factoring Trinomials
399(12)
Factoring Special Products and Factoring Strategies
411(10)
Solving Equations by Factoring
421(30)
Summary
439(5)
Review Exercises
444(3)
Practice Test
447(1)
Cumulative Review Exercises
448(3)
Rational Expressions and Equations
451(80)
Simplifying, Multiplying, and Dividing Rational Expressions
452(17)
Adding and Subtracting Rational Expressions
469(12)
Simplifying Complex Rational Expressions
481(11)
Solving Equations Containing Rational Expressions
492(10)
Applications with Rational Expressions; Variation
502(29)
Summary
518(7)
Review Exercises
525(4)
Practice Test
529(2)
Rational Exponents, Radicals, and Complex Numbers
531(86)
Radical Expressions and Functions
532(12)
Rational Exponents
544(12)
Multiplying, Dividing, and Simplifying Radical Expressions
556(10)
Adding, Subtracting, and Multiplying Radical Expressions
566(9)
Rationalizing Numerators and Denominators of Radical Expressions
575(11)
Radical Equations and Problem Solving
586(10)
Complex Numbers
596(21)
Summary
604(7)
Review Exercises
611(5)
Practice Test
616(1)
Quadratic Equations
617(82)
Completing the Square
618(15)
Solving Quadratic Equations Using the Quadratic Formula
633(14)
Solving Equations That Are in Quadratic Form
647(10)
Graphing Quadratic Functions
657(15)
Solving Nonlinear Inequalities
672(27)
Summary
685(5)
Review Exercises
690(5)
Practice Test
695(2)
Cumulative Review Exercises
697(2)
Exponential and Logarithmic Functions
699(84)
Composite and Inverse Functions
700(15)
Exponential Functions
715(12)
Logarithmic Functions
727(10)
Properties of Logarithms
737(9)
Common and Natural Logarithms
746(7)
Exponential and Logarithmic Equations with Applications
753(30)
Summary
766(9)
Review Exercises
775(6)
Practice Test
781(2)
Conic Sections
783
The Parabola and the Circle
784(16)
The Ellipse and Hyperbola
800(15)
Nonlinear Systems of Equations
815(8)
Nonlinear Inequalities and Systems of Inequalities
823
Summary
832(8)
Review Exercises
840(6)
Practice Test
846(3)
Cumulative Review Exercises
849
Appendix A Arithmetic Sequences and Series 1(10)
Appendix B Geometric Sequences and Series 11(10)
Appendix C The Binomial Theorem 21(8)
Appendix D Permutations and Combinations 29(6)
Appendix E Probability 35
Glossary 1(1)
Index 1(1)
Applications Index 1(1)
Photograph Credits 1(1)
Answers 1


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