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Algebra : A Combined Approach,9780130850485
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Algebra : A Combined Approach

by
ISBN13:

9780130850485

ISBN10:
0130850489
Format:
Paperback
Pub. Date:
6/1/1999
Publisher(s):
Prentice Hall
List Price: $104.00

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Summary

A combined introductory and intermediate algebra version of the Martin-Gay worktext splits. Two semesters of algebra under one cover. Text is a "cut and paste" of content taken from the split Martin-Gay worktexts; Introductory algebra 1/e and Intermediate Algebra 1/e 4-color worktext w/complete text-specific instructor and student media/print/web supplement package. AMATYC/NCTM Standards of Content and Pedagogy integrated into Applications, Marginal Exercises, Pretests, Concept Checks, Combining Concepts exercises, Focus On boxes, Chapter Highlights, Chapter Reviews, Chapter Tests and Cumulative Reviews. Graphics, models and illustrations visually clarify and reinforce concepts with the frequent integration of bar charts, line graphs, applications, illustrations, calculator screens and geometric figures. Integrated Reviews and Helpful Hints strtegically placed throughout the text provide students with additional review and immediate reinforcement. 4-Step Problem Solving Approach introduced in Chapter 2 and reinforced throughout the text in applications and exercises increase students' confidence in tackling problems.

Table of Contents

Preface ix
Prealgebra Review
1(1)
Factors and the Least Common Multiple
3(6)
Fractions
9(10)
Decimals and Percents
19
Activity: Interpreting Survey Results
29(1)
Highlights
30(3)
Review
33(2)
Test
35
Real Numbers and Introduction to Algebra
1(88)
Symbols and Sets of Numbers
3(10)
Introduction to Variable Expressions and Equations
13(10)
Adding Real Numbers
23(8)
Subtracting Real Numbers
31(10)
Multiplying Real Numbers
41(6)
Dividing Real Numbers
47(10)
Integrated Review---Operations on Real Numbers
55(2)
Properties of Real Numbers
57(8)
Reading Graphs
65(24)
Activity: Analyzing Wealth
75(1)
Highlights
76(5)
Review
81(4)
Test
85(4)
Equations, Inequalities, and Problem Solving
89(102)
Simplifying Expressions
91(8)
The Addition Property of Equality
99(10)
The Multiplication Property of Equality
109(8)
Further Solving Linear Equations
117(12)
Integrated Review---Solving Linear Equations
127(2)
An Introduction to Problem Solving
129(12)
Formulas and Problem Solving
141(10)
Percent, Ration, and Proportion
151(12)
Linear Inequalities and Problem Solving
163(28)
Activity: Investigating Averages
177(1)
Highlights
178(3)
Review
181(6)
Test
187(2)
Cumulative Review
189(2)
Graphing Equations and Inequalities
191(78)
The Rectangular Coordinate System
193(14)
Graphing Linear Equations
207(12)
Intercepts
219(12)
Slope
231(16)
Integrated Review---Summary on Linear Equations
245(2)
Graphing Linear Inequalities in Two Variables
247(22)
Activity: Financial Analysis
257(1)
Highlights
258(3)
Review
261(4)
Test
265(2)
Cumulative Review
267(2)
Exponents and Polynomials
269(82)
Exponents
271(12)
Negative Exponents and Scientific Notation
283(12)
Introduction to Polynomials
295(10)
Adding and Subtracting Polynomials
305(6)
Multiplying Polynomials
311(6)
Special Products
317(10)
Integrated Review---Operations on Polynomials
325(2)
Dividing Polynomials
327(24)
Activity: Modeling with Polynomials
337(1)
Highlights
338(3)
Review
341(6)
Test
347(2)
Cumulative Review
349(2)
Factoring Polynomials
351(78)
The Greatest Common Factor
353(8)
Factoring Trinomials of the Form x2 + bx + c
361(8)
Factoring Trinomials of the Form ax2 1 bx 1 c
369(8)
Factoring Trinomials of the Form ax2 1 bx 1 c by Grouping
377(6)
Factoring Perfect Square Trinomials and the Difference of Two Squares
383(12)
Integrated Review---Choosing a Factoring Strategy
393(2)
Solving Quadratic Equations by Factoring
395(10)
Quadratic Equations and Problem Solving
405(24)
Activity: Factoring
417(1)
Highlights
418(3)
Review
421(4)
Test
425(2)
Cumulative Review
427(2)
Rational Expressions
429(82)
Simplifying Rational Expressions
431(8)
Multiplying and Dividing Rational Expressions
439(10)
Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
449(8)
Adding and Subtracting Rational Expressions with Different Denominators
457(8)
Solving Equations Containing Rational Expressions
465(10)
Integrated Review---Summary on Rational Expressions
473(2)
Rational Equations and Problem Solving
475(12)
Simplifying Complex Fractions
487(24)
Activity: Analyzing a Table
495(1)
Highlights
496(5)
Review
501(6)
Test
507(2)
Cumulative Review
509(2)
Graphs and Functions
511(74)
The Slope-Intercept Form
513(8)
More Equations of Lines
521(14)
Integrated Review---Linear Equations in Two Variables
533(2)
Introduction to Functions
535(14)
Polynomial and Rational Functions
549(8)
An Introduction to Graphing Polynomial Functions
557(28)
Activity: Measuring Slope
571(1)
Highlights
572(3)
Review
575(6)
Test
581(2)
Cumulative Review
583(2)
Systems of Equations and Inequalities
585(100)
Solving Systems of Linear Equations by Graphing
587(12)
Solving Systems of Linear Equations by Substitution
599(10)
Solving Systems of Linear Equations by Addition
609(10)
Systems of Linear Equations and Problem Solving
619(12)
Solving Systems of Linear Equations in Three Variables
631(12)
Integrated Review---Systems of Linear Equations
641(2)
Solving Systems of Equations Using Matrices
643(6)
Solving Systems of Equations Using Determinants
649(8)
Systems of Linear Inequalities
657(28)
Activity: Locating Lightning Strikes
665(1)
Highlights
666(7)
Review
673(8)
Test
681(2)
Cumulative Review
683(2)
Rational Exponents, Radicals, and Complex Numbers
685(80)
Radical Expressions
687(8)
Rational Exponents
695(8)
Simplifying Radical Expressions
703(8)
Adding, Subtracting, and Multiplying Radical Expressions
711(8)
Rationalizing Numerators and Denominators of Radical Expressions
719(10)
Integrated Review---Radicals and Rational Exponents
727(2)
Radical Equations and Problem Solving
729(12)
Complex Numbers
741(24)
Activity: Calculating the Length and Period of a Pendulum
751(1)
Highlights
752(3)
Review
755(6)
Test
761(2)
Cumulative Review
763(2)
Quadratic Equations and Functions
765(86)
Solving Quadratic Equations by Completing the Square
767(14)
Solving Quadratic Equations by the Quadratic Formula
781(12)
Solving Equations by Using Quadratic Methods
793(14)
Integrated Review---Summary on Solving Quadratic Equations
805(2)
Nonlinear Inequalities in One Variable
807(6)
Quadratic Functions and Their Graphs
813(14)
Further Graphing of Quadratic Functions
827(24)
Activity: Recognizing Linear and Quadratic Models
839(1)
Highlights
840(3)
Review
843(4)
Test
847(2)
Cumulative Review
849(2)
Exponential and Logarithmic Functions
851(74)
The Algebra of Functions
853(6)
Inverse Functions
859(10)
Exponential Functions
869(10)
Logarithmic Functions
879(8)
Properties of Logarithms
887(8)
Integrated Review---Functions and Properties of Logarithms
893(2)
Common Logarithms, Natural Logarithms, and Change of Base
895(8)
Exponential and Logarithmic Equations and Problem Solving
903(22)
Activity: Modeling Temperature
911(1)
Highlights
912(3)
Review
915(6)
Test
921(2)
Cumulative Review
923(2)
Conic Sections
925
The Parabola and the Circle
927
The Ellipse and the Hyperbola
941
Integrated Review---Graphing Conic Sections
951
Graphing Nonlinear Functions
953
Solving Nonlinear Systems of Equations
959
Nonlinear Inequalities and Systems of Inequalities
967
Activity: Modeling Conic Sections
975
Highlights
976
Review
979
Test
985
Cumulative Review
987
Appendix A An Introduction to Using a Graphing Utility A-1
Appendix B Table of Squares and Square Roots A-8
Appendix C Review of Angles, Lines, and Special Triangles A-9
Appendix D Review of Geometric Figures A-17
Appendix E Mean, Median, and Mode A-19
Appendix F Sets and Compound Inequalities A-23
Appendix G Absolute Value Equations and Inequalities A-31
Answers to Selected Exercises A-41
Solutions to Selected Exercises A-91
Index I-1
Photo Credits P-1


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