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Algebra: A Combined Approach

ISBN: 9780131868465 | 0131868462
Edition: 3rd
Format: Paperback
Publisher: Prentice Hall
Pub. Date: 1/1/2007

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SummaryTable of Contents
Normal 0 false false false MicrosoftInternetExplorer4 Algebra: A Combined Approachis intended for a 2-semester sequence ofIntroductoryandIntermediate Algebrawhere students get a solid foundation in algebra, including exposure to functions, which prepares them for success in College Algebra or their next math course. Prealgebra Review; Real Numbers and Introduction to Algebra; Equations, Inequalities, and Problem Solving; Graphing Equations and Inequalities; Systems of Equations; Exponents and Polynomials; Factoring Polynomials; Rational Express... MORE
... MORE
Tools to Help Students Succeedxi
Additional Resources to Help You Succeedxiii
Prefacexv
Applications Indexxxv
Prealgebra Review
1(1)
Factors and the Least Common Multiple
2(7)
Fractions
9(10)
Decimals and Percents
19
Group Activity: Interpreting Survey Results
28(1)
Vocabulary Check
29(1)
Highlights
29(3)
Review
32(2)
Test
34
Real Numbers and Introduction to Algebra
1(88)
Tips for Success in Mathematics
2(6)
Symbols and Sets of Numbers
8(11)
Exponents, Order of Operations, and Variable Expressions
19(10)
Adding Real Numbers
29(9)
Subtracting Real Numbers
38(10)
Integrated Review---Operations on Real Numbers
46(2)
Multiplying and Dividing Real Numbers
48(12)
Properties of Real Numbers
60(8)
Simplifying Expressions
68(21)
Chapter 1 Group Activity: Magic Squares
77(1)
Chapter 1 Vocabulary Check
78(1)
Chapter 1 Highlights
78(5)
Chapter 1 Review
83(4)
Chapter 1 Test
87(2)
Equations, Inequalities, and Problem Solving
89(89)
The Addition Property of Equality
90(9)
The Multiplication Property of Equality
99(9)
Further Solving Linear Equations
108(10)
Integrated Review---Solving Linear Equations
116(2)
An Introduction to Problem Solving
118(12)
Formulas and Problem Solving
130(12)
Percent and Mixture Problem Solving
142(12)
Solving Linear Inequalities
154(24)
Chapter 2 Group Activity: Investigating Averages
164(1)
Chapter 2 Vocabulary Check
165(1)
Chapter 2 Highlights
165(3)
Chapter 2 Review
168(5)
Chapter 2 Test
173(2)
Cumulative Review
175(3)
Graphing Equations and Inequalities
178(89)
Reading Graphs and the Rectangular Coordinate System
179(15)
Graphing Linear Equations
194(11)
Intercepts
205(10)
Slope and Rate of Change
215(18)
Integrated Review---Summary on Linear Equations
231(2)
Equations of Lines
233(10)
Graphing Linear Inequalities in Two Variables
243(24)
Chapter 3 Group Activity: Finding a Linear Model
252(1)
Chapter 3 Vocabulary Check
253(1)
Chapter 3 Highlights
253(4)
Chapter 3 Review
257(6)
Chapter 3 Test
263(2)
Cumulative Review
265(2)
Systems of Equations
267(49)
Solving Systems of Linear Equations by Graphing
268(10)
Solving Systems of Linear Equations by Substitution
278(8)
Solving Systems of Linear Equations by Addition
286(8)
Integrated Review---Summary on Solving Systems of Equations
293(1)
Systems of Linear Equations and Problem Solving
294(22)
Chapter 4 Group Activity: Break-Even Point
305(1)
Chapter 4 Vocabulary Check
306(1)
Chapter 4 Highlights
306(3)
Chapter 4 Review
309(3)
Chapter 4 Test
312(2)
Cumulative Review
314(2)
Exponents and Polynomials
316(76)
Exponents
317(12)
Negative Exponents and Scientific Notation
329(9)
Introduction to Polynomials
338(10)
Adding and Subtracting Polynomials
348(7)
Multiplying Polynomials
355(7)
Special Products
362(9)
Integrated Review---Exponents and Operations on Polynomials
369(2)
Dividing Polynomials
371(21)
Chapter 5 Group Activity: Modeling with Polynomials
378(1)
Chapter 5 Vocabulary Check
379(1)
Chapter 5 Highlights
379(3)
Chapter 5 Review
382(5)
Chapter 5 Test
387(2)
Cumulative Review
389(3)
Factoring Polynomials
392(70)
The Greatest Common Factor
393(10)
Factoring Trinomials of the Form x2 + bx + c
403(7)
Factoring Trinomials of the Form ax2 + bx + c
410(7)
Factoring Trinomials of the Form ax2 + bx + c by Grouping
417(4)
Factoring by Special Products
421(10)
Integrated Review---Choosing a Factoring Strategy
429(2)
Solving Quadratic Equations by Factoring
431(9)
Quadratic Equations and Problem Solving
440(22)
Chapter 6 Group Activity
449(1)
Chapter 6 Vocabulary Check
450(1)
Chapter 6 Highlights
450(3)
Chapter 6 Review
453(4)
Chapter 6 Test
457(2)
Cumulative Review
459(3)
Rational Expressions
462(82)
Simplifying Rational Expressions
463(10)
Multiplying and Dividing Rational Expressions
473(9)
Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominators
482(9)
Adding and Subtracting Rational Expressions with Different Denominators
491(8)
Solving Equations Containing Rational Expressions
499(9)
Integrated Review---Summary on Rational Exprssions
506(2)
Proportions and Problem Solving with Rational Equations
508(15)
Simplifying Complex Fractions
523(21)
Chapter 7 Group Activity: Fast-Growing Careers
529(1)
Chapter 7 Vocabulary Check
530(1)
Chapter 7 Highlights
530(5)
Chapter 7 Review
535(4)
Chapter 7 Test
539(2)
Cumulative Review
541(3)
Graphs and Functions
544(61)
Review of Equations of Lines and Writing Parallel and Perpendicular Lines
545(10)
Introduction to Functions
555(12)
Polynomial and Rational Functions
567(9)
Integrated Review---Linear Equations in Two Variables and Functions
574(2)
Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions
576(8)
Shifting and Reflecting Graphs of Functions
584(21)
Chapter 8 Group Activity: Linear Modeling
592(1)
Chapter 8 Vocabulary Check
593(1)
Chapter 8 Highlights
593(3)
Chapter 8 Review
596(4)
Chapter 8 Test
600(2)
Cumulative Review
602(3)
Systems of Equations and Inequalities and Variation
605(46)
Solving Systems of Linear Equations in Three Variables and Problem Solving
606(11)
Solving Systems of Equations Using Matrices
617(8)
Integrated Review---Systems of Linear Equations
624(1)
Systems of Linear Inequalities
625(5)
Variation and Problem Solving
630(21)
Chapter 9 Group Activity: Another Mathematical Model
639(1)
Chapter 9 Vocabulary Check
640(1)
Chapter 9 Highlights
640(3)
Chapter 9 Review
643(3)
Chapter 9 Test
646(2)
Cumulative Review
648(3)
Rational Exponents, Radicals, and Complex Numbers
651(75)
Radical Expressions and Radical Functions
652(8)
Rational Exponents
660(7)
Simplifying Radical Expressions
667(9)
Adding, Subtracting, and Multiplying Radical Expressions
676(7)
Rationalizing Numerators and Denominators of Radical Expressions
683(10)
Integrated Review---Radicals and Rational Exponents
691(2)
Radical Equations and Problem Solving
693(12)
Complex Numbers
705(21)
Chapter 10 Group Activity: Heron of Alexandria
712(1)
Chapter 10 Vocabulary Check
713(1)
Chapter 10 Highlights
713(4)
Chapter 10 Review
717(4)
Chapter 10 Test
721(2)
Cumulative Review
723(3)
Quadratic Equations and Functions
726(82)
Solving Quadratic Equations by Completing the Square
727(12)
Solving Quadratic Equations by Using the Quadratic Formula
739(13)
Solving Equations by Using Quadratic Methods
752(12)
Integrated Review---Summary on Solving Quadratic Equations
762(2)
Nonlinear Inequalities in One Variable
764(9)
Quadratic Functions and Their Graphs
773(11)
Further Graphing of Quadratic Functions
784(24)
Chapter 11 Group Activity: Recognizing Linear and Quadratic Models
794(1)
Chapter 11 Vocabulary Check
795(1)
Chapter 11 Highlights
795(4)
Chapter 11 Review
799(4)
Chapter 11 Test
803(2)
Cumulative Review
805(3)
Exponential and Logarithmic Functions
808(77)
The Algebra of Functions
809(7)
Inverse Functions
816(11)
Exponential Functions
827(10)
Logarithmic Functions
837(8)
Properties of Logarithms
845(8)
Integrated Review---Functions and Properties of Logarithms
851(2)
Common Logarithms, Natural Logarithms, and Change of Base
853(7)
Exponential and Logarithmic Equations and Problem Solving
860(25)
Chapter 12 Group Activity: Sound Intensity
868(1)
Chapter 12 Vocabulary Check
869(1)
Chapter 12 Highlights
869(4)
Chapter 12 Review
873(6)
Chapter 12 Test
879(3)
Cumulative Review
882(3)
Conic Sections
885(55)
The Parabola and the Circle
886(14)
The Ellipse and the Hyperbola
900(12)
Integrated Review--Graphing Conic Sections
910(2)
Solving Nonlinear Systems of Equations
912(7)
Nonlinear Inequalities and Systems of Inequalities
919(21)
Chapter 13 Group Activity: Modeling Conic Sections
925(1)
Chapter 13 Vocabulary Check
926(1)
Chapter 13 Highlights
926(3)
Chapter 13 Review
929(5)
Chapter 13 Test
934(3)
Cumulative Review
937(3)
Appendix A Transition Review: Exponents, Polynomials, and Factoring Strategies940(6)
Appendix B Transition Review: Solving Linear and Quadratic Equations946(5)
Appendix C The Bigger Picture951(5)
Appendix D Sets and Compound Inequalities956(6)
Appendix E Absolute Value Equations and Inequalities962(10)
Appendix F Determinants and Cramer's Rule972(9)
Appendix G Review of Angles, Lines, and Special Triangles981(8)
Appendix H An Introduction to Using a Graphing Utility989(6)
Appendix I Stretching and Compressing Graphs of Absolute Value Functions995
Answers to Selected Exercises1(48)
Solutions to Selected Exercises49
Index1(8)
Photo Credits9

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