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# Intermediate Algebra for College Students

by
Edition:
4th
ISBN13:

### 9780131835184

ISBN10:
0131835181
Format:
Hardcover
Pub. Date:
9/1/1995
Publisher(s):
Prentice Hall Professional Technical Reference

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## Summary

This dynamic new edition of this proven series adds cutting edge print and media resources. An emphasis on the practical applications of algebra motivates learners and encourages them to see algebra as an important part of their daily lives. The reader-friendly writing style uses short, clear sentences and easy-to-understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. KEY TOPICS Chapter topics cover basic concepts; equations and inequalities; graphs and functions; systems of equations and inequalities; polynomials and polynomial functions; rational expressions and equations; roots, radicals, and complex numbers; quadratic functions; exponential and logarithmic functions; conic sections; and sequences, series and the binomial theorem. For the study of Algebra.

## Table of Contents

Preface xi
To the Student xxi
 Basic Concepts
1(46)
 Study Skills for Success in Mathematics and using a Calculator
2(5)
 Sets and Other Basic Concepts
7(10)
 Properties of and Operations with Real Numbers
17(12)
 Order of Operations
29(18)
 Summary
42(1)
 Review Exercises
43(2)
 Practice Test
45(2)
 Equations and Inequalities
47(82)
 Solving Equations
48(12)
 Formulas
60(10)
 Applications of Algebra
70(13)
 Additional Application Problems
83(14)
 Solving Linear Inequalities
97(16)
 Solving Equations and Inequalities Containing Absolute Values
113(16)
 Summary
123(2)
 Review Exercises
125(2)
 Practice Test
127(1)
 Cumulative Review Test
128(1)
 Graphs and Functions
129(74)
 The Cartesian Coordinate System, Distance, and Midpoint Formulas
130(11)
 Graphing Linear Equations
141(14)
 Slope-Intercept and Point-Slope Forms of a Linear Equation
155(16)
 Relations and Functions
171(12)
 Linear and Non Linear Functions
183(9)
 Graphing Linear Inequalities
192(11)
 Summary
196(2)
 Review Exercises
198(4)
 Practice Test
202(1)
 Systems of Equations and Inequalities
203(66)
 Solving Systems of Linear Equations
204(14)
 Third-Order Systems of Linear Equations
218(8)
 Applications of Systems of Linear Equations
226(12)
 Solving Systems of Equations by Determinants and Cramer's Rule
238(9)
 Solving Systems of Equations Using Matrices
247(10)
 Solving Systems of Linear Inequalities
257(12)
 Summary
264(1)
 Review Exercises
265(2)
 Practice Test
267(1)
 Cumulative Review Test
268(1)
 Polynomials and Polynomial Functions
269(62)
 Exponents and Scientific Notation
270(15)
 More on Exponents
285(5)
 Addition, Subtraction, and Multiplication of Polynomials
290(10)
 Division of Polynomials
300(5)
 Synthetic Division
305(6)
 Polynomial Functions
311(20)
 Summary
327(1)
 Review Exercises
328(2)
 Practice Test
330(1)
 Factoring
331(46)
 Factoring a Monomial from a Polynomial and Factoring by Grouping
332(8)
 Factoring Trinomials
340(11)
 Special Factoring Formulas
351(7)
 General Review of Factoring
358(4)
 Solving Equations Using Factoring
362(15)
 Summary
373(1)
 Review Exercises
374(2)
 Practice Test
376(1)
 Cumulative Review Test
376(1)
 Rational Expressions and Equations
377(66)
 The Domain of Rational Functions and Multiplication and Division of Rational Expressions
378(14)
 Addition and Subtraction of Rational Expressions
392(10)
 Complex Fractions
402(6)
 Solving Rational Equations
408(12)
 Applications of Rational Equations
420(11)
 Variation
431(12)
 Summary
439(1)
 Review Exercises
440(2)
 Practice Test
442(1)
 Roots, Radicals and Complex Numbers
443(66)
 Roots and Radicals
444(6)
 Rational Exponents
450(10)
 Multiplying and Simplifying Radicals
460(8)
 Dividing and Simplifying Radicals
468(9)
 Adding and Subtracting Radicals
477(5)
 Solving Radical Equations
482(12)
 Complex Numbers
494(15)
 Summary
503(1)
 Review Exercises
504(2)
 Practice Test
506(2)
 Cumulative Review Test
508(1)
 Quadratic Functions and the Algebra Functions
509(66)
 Solving Quadratic Equations by Completing the Square
510(10)
 Solving Quadratic Equations by the Quadratic Formula
520(16)
 Writing Equations in Quadratic Form
536(9)
 Quadratic and Other Inequalities in One Variable
545(11)
 The Algebra of Functions
556(6)
 Inverse Functions
562(13)
 Summary
570(1)
 Review Exercises
571(3)
 Practice Test
574(1)
 Conic Sections
575(46)
 The Circle
576(7)
 The Ellipse
583(4)
 The Parabola
587(6)
 The Hyperbola
593(9)
 Nonlinear Systems of Equations and Their Applications
602(8)
 Nonlinear Systems of Inequalities
610(11)
 Summary
615(1)
 Review Exercises
616(3)
 Practice Test
619(1)
 Cumulative Review Test
620(1)
 Exponential and Logarithmic Functions
621(48)
 Exponential and Logarithmic Functions
622(13)
 Properties of Logarithms
635(6)
 Common Logarithms
641(6)
 Exponential and Logarithmic Equations
647(6)
 The Natural Exponential Function and Natural Logarithms
653(16)
 Summary
664(1)
 Review Exercises
665(2)
 Practice Test
667(2)
 Sequences, Series, and the Binomial Theorem
669(33)
 Sequences and Series
670(7)
 Arithmetic Sequences and Series
677(7)
 Geometric Sequences and Series
684(6)
 Infinite Geometric Series
690(4)
 The Binomial Theorem
694(8)
 Summary
699(1)
 Review Exercises
700(1)
 Practice Test
701(1)
 Cumulative Review Test
702
Appendices A1
 A A Review of Fractions
A1
 B Geometric Formulas
A3
Answers AN1
Index I1

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