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Beginning Algebra

ISBN: 9780321036445 | 0321036441
Edition: 8th
Format: Hardcover
Publisher: Addison-Wesley
Pub. Date: 7/1/1997

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SummaryTable of Contents
KEY MESSAGE: The Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package. The Real Number System; Linear Equations and Inequalities in One Variable; Linear Equations and Inequalities in Two Variables: Functions; Systems of Linear Equations and Inequalities; Exponents and Polynomials; Factoring and Applications; Rational Expressions and Applications; Roots and Radicals; Quadratic Equations For a... MORE
Prefacexi
An Introduction to Calculatorsxxi
The Real Number System
1(87)
Fractions
2... MORE(12)
Exponents, Order of Operations, and Inequality
14(7)
Variables, Expressions, and Equations
21(6)
Real Numbers and the Number Line
27(10)
Addition and Subtraction of Real Numbers
37(12)
Multiplication and Division of Real Numbers
49(12)
Properties of Real Numbers
61(8)
Simplifying Expressions
69(19)
Group Activity
75(1)
Summary
76(3)
Review Exercises
79(6)
Test
85(3)
Linear Equations and Inequalities in One Variable
88(87)
The Addition and Multiplication Properties of Equality
89(8)
More on Solving Linear Equations
97(8)
An Introduction to Applications of Linear Equations
105(11)
Formulas and Applications from Geometry
116(10)
Ratios and Proportions
126(9)
More About Problem Solving
135(14)
The Addition and Multiplication Properties of Inequality
149(26)
Group Activity
162(1)
Summary
163(4)
Review Exercises
167(4)
Test
171(2)
Cumulative Review Exercises Chapters 1--2
173(2)
Linear Equations in Two Variables
175(48)
Linear Equations in Two Variables
176(12)
Graphing Linear Equations in Two Variables
188(12)
The Slope of a Line
200(23)
Group Activity
213(1)
Summary
214(3)
Review Exercises
217(2)
Test
219(1)
Cumulative Review Exercises Chapters 1--3
220(3)
Polynomials and Exponents
223(65)
Addition and Subtraction of Polynomials; Graphing Simple Polynomials
224(10)
The Product Rule and Power Rules for Exponents
234(8)
Multiplication of Polynomials
242(6)
Special Products
248(5)
Integer Exponents and the Quotient Rule
253(8)
Division of Polynomials
261(9)
An Application of Exponents: Scientific Notation
270(18)
Group Activity
276(1)
Summary
277(3)
Review Exercises
280(4)
Test
284(1)
Cumulative Review Exercises Chapters 1--4
285(3)
Factoring and Applications
288(65)
The Greatest Common Factor; Factoring by Grouping
289(7)
Factoring Trinomials
296(5)
More on Factoring Trinomials
301(7)
Special Factoring Rules
308(10)
Exercises on Factoring
316(2)
Solving Quadratic Equations by Factoring
318(7)
Applications of Quadratic Equations
325(11)
Solving Quadratic Inequalities
336(17)
Group Activity
342(1)
Summary
342(3)
Review Exercises
345(4)
Test
349(2)
Cumulative Review Exercises Chapters 1--5
351(2)
Rational Expressions
353(75)
The Fundamental Property of Rational Expressions
354(9)
Multiplication and Division of Rational Expressions
363(7)
The Least Common Denominator
370(5)
Addition and Subtraction of Rational Expressions
375(8)
Complex Fractions
383(8)
Solving Equations Involving Rational Expressions
391(11)
Exercises on Operations and Equations with Rational Expressions
399(3)
Applications of Rational Expressions
402(26)
Group Activity
416(1)
Summary
417(4)
Review Exercises
421(4)
Test
425(1)
Cumulative Review Exercises Chapters 1--6
426(2)
Equations of Lines, Inequalities, and Functions
428(39)
Equations of a Line
429(11)
Graphing Linear Inequalities in Two Variables
440(9)
Functions
449(18)
Group Activity
458(1)
Summary
459(2)
Review Exercises
461(3)
Test
464(1)
Cumulative Review Exercises Chapters 1--7
465(2)
Linear Systems
467(51)
Solving Systems of Linear Equations by Graphing
468(9)
Solving Systems of Linear Equations by Substitution
477(6)
Solving Systems of Linear Equations by Elimination
483(8)
Applications of Linear Systems
491(10)
Solving Systems of Linear Inequalities
501(17)
Group Activity
506(1)
Summary
507(3)
Review Exercises
510(4)
Test
514(1)
Cumulative Review Exercises Chapters 1--8
515(3)
Roots and Radicals
518(59)
Evaluating Roots
519(11)
Multiplication and Division of Radicals
530(7)
Addition and Subtraction of Radicals
537(5)
Rationalizing the Denominator
542(4)
Simplifying Radical Expressions
546(6)
Solving Equations with Radicals
552(10)
Fractional Exponents
562(15)
Group Activity
567(1)
Summary
568(3)
Review Exercises
571(3)
Test
574(1)
Cumulative Review Exercises Chapters 1--9
574(3)
Quadratic Equations
577(54)
Solving Quadratic Equations by the Square Root Property
578(5)
Solving Quadratic Equations by Completing the Square
583(6)
Solving Quadratic Equations by the Quadratic Formula
589(10)
Exercises on Quadratic Equations
597(2)
Complex Numbers
599(8)
More on Graphing Quadratic Equations; Quadratic Functions
607(24)
Group Activity
619(1)
Summary
620(3)
Review Exercises
623(3)
Test
626(1)
Cumulative Review Exercises Chapters 1--10
627(4)
Appendix A Review of Decimals and Percents631(4)
Appendix B Sets635
Answers to Selected ExercisesA-1
IndexI-1
Index of ApplicationsI-9

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