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Beginning and Intermediate Algebra

ISBN: 9780673999658 | 0673999653
Format: Hardcover
Publisher: Prentice Hall
Pub. Date: 6/1/1996

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Table of Contents
Prefacevii
To the Student: Success in Algebraxvii
An Introduction to Scientific Calculatorsxix
An Introduction to Graphics Calculatorsxxiii
... MORE
The Real Number System
1(80)
Fractions
2(10)
Exponents, Order of Operations, and Inequality
12(8)
Variables, Expressions, and Equations
20(6)
Real Numbers and the Number Line
26(9)
Addition of Real Numbers
35(7)
Subtraction of Real Numbers
42(7)
Multiplication of Real Numbers
49(6)
Division of Real Numbers
55(8)
Properties of Addition and Multiplication
63(18)
Summary
71(1)
Key Terms
71(1)
New Symbols
71(1)
Quick Review
72(2)
Review Exercises
74(5)
Test
79(2)
Linear Equations and Applications
81(78)
Simplifying Expressions
82(5)
The Addition and Multiplication Properties of Equality
87(8)
More on Solving Linear Equations
95(8)
An Introduction to Applications of Linear Equations
103(11)
Formulas and Applications from Geometry
114(9)
Ratios and Proportions
123(10)
Applications of Percent: Mixture, Interest, and Money
133(8)
More About Problem Solving
141(18)
Summary
148(1)
Key Terms
148(1)
New Symbols
148(1)
Quick Review
149(2)
Review Exercises
151(4)
Test
155(2)
Cumulative Review (Chapters 1--2)
157(2)
Linear Inequalities and Absolute Value
159(37)
Linear Inequalities in One Variable
160(11)
Set Operations and Compound Inequalities
171(7)
Absolute Value Equations and Inequalities
178(18)
Summary: Solving Linear and Absolute Value Equations and Inequalities
188(1)
Summary
189(1)
Key Terms
189(1)
New Symbols
189(1)
Quick Review
189(2)
Review Exercises
191(2)
Test
193(1)
Cumulative Review (Chapters 1--3)
194(2)
Polynomials and Exponents
196(59)
Addition and Subtraction of Polynomials
197(8)
The Product Rule and Power Rules for Exponents
205(6)
Multiplication of Polynomials
211(6)
Special Products
217(6)
Integer Exponents and the Quotient Rule
223(8)
The Quotient of a Polynomial and a Monomial
231(4)
The Quotient of Two Polynomials
235(6)
An Application of Exponents: Scientific Notation
241(14)
Summary
245(1)
Key Terms
245(1)
New Symbols
245(1)
Quick Review
245(2)
Review Exercises
247(5)
Test
252(1)
Cumulative Review (Chapter 1--4)
253(2)
Factoring and Applications
255(55)
The Greatest Common Factor; Factoring by Grouping
256(7)
Factoring Trinomials
263(5)
More on Factoring Trinomials
268(7)
Special Factorizations
275(10)
Factoring
283(2)
Solving Quadratic Equations by Factoring
285(7)
Applications of Quadratic Equations
292(18)
Summary
301(1)
Key Terms
301(1)
Quick Review
301(2)
Review Exercises
303(4)
Test
307(1)
Cumulative Review (Chapters 1--5)
308(2)
Rational Expressions
310(65)
The Fundamental Property of Rational Expressions
311(8)
Multiplication and Division of Rational Expressions
319(7)
The Least Common Denominator
326(5)
Addition and Subtraction of Rational expressions
331(8)
Complex Fractions
339(7)
Equations Involving Rational Expressions
346(11)
Summary: Rational Expressions
354(3)
Applications of Rational Expressions
357(18)
Summary
365(1)
Key Terms
365(1)
Quick Review
365(4)
Review Exercises
369(3)
Test
372(1)
Cumulative Review (Chapters 1--6)
373(2)
The Straight Line
375(75)
The Rectangular Coordinate System
376(12)
The Slope of a Line
388(14)
Linear Equations
402(10)
Linear Inequalities
412(8)
Introduction to Functions
420(12)
Variation
432(18)
Summary
441(1)
Key Terms
441(1)
New Symbols
441(1)
Quick Review
441(2)
Review Exercises
443(3)
Test
446(2)
Cumulative Review (Chapters 1--7)
448(2)
Linear Systems
450(75)
Solving Systems of Linear Equations by Graphing
451(8)
Solving Systems of Linear Equations by Substitution
459(6)
Solving Systems of Linear Equations by Addition
465(8)
Linear Systems of Equations in Three Variables
473(7)
Applications of Linear Systems of Equations
480(11)
Solution of Linear Systems of Equations by Matrix Methods
491(9)
Determinants
500(7)
Solution of Linear Systems of Equations by Determinants --- Cramer's Rule
507(18)
Summary
513(1)
Key Terms
513(1)
New Symbols
513(1)
Quick Review
514(3)
Review Exercises
517(4)
Test
521(2)
Cumulative Review (Chapters 1--8)
523(2)
Roots and Radicals
525(52)
Finding Toots
526(10)
Multiplication and Division of Radicals
536(6)
Addition and Subtraction of Radicals
542(4)
Rationalizing the Denominator
546(5)
Simplifying Radical Expressions
551(6)
Equations with Radicals
557(6)
Fractional Exponents
563(14)
Summary
569(1)
Key Terms
569(1)
New Symbols
569(1)
Quick Review
569(2)
Review Exercises
571(3)
Test
574(1)
Cumulative Review (Chapters 1--9)
575(2)
Quadratic Equations
577(64)
Solving Quadratic Equations by the Square Root Property
578(6)
Solving Quadratic Equations by Completing the Square
584(5)
Solving Quadratic Equations by the Quadratic Formula
589(10)
Complex Numbers
599(7)
Equations Quadratic in Form
606(8)
Fomulas and Applications
614(9)
Nonlinear Inequalities
623(18)
Summary
629(1)
Key Terms
629(1)
New Symbols
629(1)
Quick Review
629(4)
Review Exercises
633(4)
Test
637(2)
Cumulative Review (Chapters 1--10)
639(2)
Quadratic Functions and the Conic Sections
641(74)
Quadratic Functions: Parabolas
642(10)
More About Parabolas and Their Applications
652(11)
The Circle and the Ellipse
663(10)
The Hyperbola and Square Root Functions
673(11)
Nonlinear Systems of Equations
684(10)
Second-Degree Inequalities and Systems of Inequalitis
694(21)
Summary
702(1)
Key Terms
702(1)
Quick Review
702(3)
Review Exercises
705(6)
Test
711(1)
Cumulative Review (Chapters 1--11)
712(3)
Inverse, Exponential, and Logarithmic Functions
715(62)
Inverse Functions
716(9)
Exponential Functions
725(9)
Logarithmic Functions
734(8)
Properties of Logarithms
742(7)
Evaluating Logarithms
749(9)
Exponential and Logarithmic Equations and Their Applications
758(19)
Summary
766(1)
Key Terms
766(1)
New Symbols
766(1)
Quick Review
766(3)
Review Exercises
769(4)
Test
773(1)
Cumulative Review (Chapters 1--12)
774(3)
Seequences and Series
777(36)
Sequences and Series
778(7)
Arithmetic Sequences
785(6)
Geometric Sequences
791(8)
The Binomial Theorem
799(14)
Summary
805(1)
Key Terms
805(1)
New Symbols
805(1)
Quick Review
805(2)
Review Exercises
807(2)
Test
809(1)
Cumulative Review (Chapters 1--13)
810(3)
Appendix A Review of Decimals and Percents813(4)
Appendix B Sets817(4)
Answers to Selected Exercises821(48)
Index869

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