Beginning and Intermediate Algebra with Graphing Calculators An Integrated Approach,9780534359423

Beginning and Intermediate Algebra with Graphing Calculators An Integrated Approach

by ; ;
ISBN13: 9780534359423
ISBN10: 0534359426
Format: Hardcover
Pub. Date: 1999-11-05
Publisher(s): Brooks Cole
List Price: $132.00

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Summary

The calculator is required - it is not optional. Calculator instruction is keyed to the TI-83 - TI 86. The approach throughout the text is fourfold: NUMERICAL, specifically through the use of tables; GRAPHICAL, done both on graph paper and with the graphing calculator, also providing the student with opportunities to model data and to interpret models; SYMBOLIC, which helps the student link the numerical and graphical; and finally VERBAL, where students are required to express mathematical concepts in their own words.

Table of Contents

PREFACE ix
1 Basic Arithmetic and Graphing Calculator Concepts
1(62)
1.1 Review of Fractions
2(18)
Technology 1.1: Introduction to the Graphing Calculator
14(6)
1.2 Exponents and Order of Operations
20(9)
Technology 1.2: Using the STOre Key
27(2)
1.3 Adding and Subtracting Real Numbers
29(9)
1.4 Multiplying and Dividing Real Numbers
38(7)
1.5 Basic Applications
45(11)
Chapter Summary
56(3)
Chapter Test
59(2)
Careers & Mathematics
61(2)
2 Exponents and Polynomials
63(44)
2.1 Whole-Number Exponents
64(7)
2.2 Algebraic Expressions and Polynomials
71(7)
2.3 Adding and Substracting Polynomials
78(5)
2.4 Multiplying Polynomials
83(7)
2.5 Dividing Polynomials by Monomials
90(3)
2.6 Dividing Polynomials by Polynomials
93(7)
Chapter Summary
100(2)
Chapter Test
102(1)
Cumulative Review: Chapter 1 and 2
102(3)
Careers & Mathematics
105(2)
3 Modeling Linear Equations in One and Two Variables
107(78)
3.1 Introduction to Linear Equations in One Variable
108
3.2 Literal Equations and Formulas
18
3.3 Introduction to Equations in Two Variables
123(10)
3.4 The Rectangular Coordinate Systems
133(24)
Technology 3.4: Graphing Basics
151(6)
3.5 Linear Applications and Models
157(8)
Technology 3.5: INTERSECT Method for Solving
165(1)
3.6 Algebraic and Graphical Solutions to One-Variable Linear Equations
165(13)
Chapter Summary
178(3)
Chapter Test
181(2)
Careers & Mathematics
183(2)
4 An Extended Look at Applications and Absolute Value Equations
185(34)
4.1 Applications--A Numeric Approach
186(9)
4.2 Business Applications
195(5)
4.3 More Applications of Equations
200(5)
4.4 Equations Containing Absolute Value
205(6)
Chapter Summary
211(2)
Chapter Test
213(1)
Cumulative Review: Chapters 3 and 4
214(3)
Careers & Mathematics
217(2)
5 Factoring
219(44)
5.1 Using the Distributive Property to Factor
220(8)
5.2 Factoring Trinomials
228(8)
5.3 Factoring the Difference of Two Squares and a Summary of Factoring Techniques
236(8)
5.4 Using Factoring to Solve Equations
244(13)
Chapter Summary
257(3)
Chapter Test
260(1)
Careers & Mathematics
261(2)
6 Rational Expressions and Equations
263(53)
6.1 Simplifying Rational Expressions
264(8)
6.2 Adding and Subtracting Rational Expressions
272(7)
6.3 Multiplying and Dividing Rational Expressions
279(4)
6.4 Mixed Operations and Complex Fractions
283(6)
6.5 Algebraic and Graphical Solutions of Rational Equations
289(11)
6.6 Applications of Rational Equations
300(6)
Chapter Summary
306(4)
Chapter Test
310(1)
Cumulative Review: Chapters 5 and 6
311(3)
Careers & Mathematics
314(2)
7 Making the Transition from Elementary to Intermediate Algebra
316(78)
7.1 Negative Integral Exponents
317(9)
7.2 Review of Factoring
326(5)
7.3 Equation Review
331(11)
7.4 Graphing and Its Applications Revisited
342(15)
Technology 7.4: ROOT/ZERO Method for Solving
356(1)
7.5 Solving Simple Linear Inequalities
357(11)
7.6 Compound Inequalities
368(10)
7.7 Absolute Value Inequalities
378(7)
Chapter Summary
385(5)
Chapter Test
390(2)
Careers & Mathematics
392(2)
8 Functions
394(56)
8.1 Relations and Functions
395(11)
8.2 Functions and Graphs
406(5)
8.3 Slope of a Nonvertical Line
411(10)
8.4 Equations of Lines
421(9)
8.5 Variation
430(9)
Chapter Summary
439(5)
Chapter Test
444(1)
Cumulative Review: Chapters 7 and 8
444(4)
Careers & Mathematics
448(2)
9 Rational Exponents and Radicals
450(53)
9.1 Introduction to Roots and Radicals
451(6)
9.2 Rational Exponents and Simplifying Radical Expressions
457(8)
9.3 Arithmetic Operations with Radicals
465(7)
9.4 Radical Equations and Their Applications
472(9)
9.5 Radical Functions
481(7)
9.6 (XXX)-1 and Complex Numbers
488(9)
Chapter Summary
497(3)
Chapter Test
500(1)
Careers & Mathematics
501(2)
10 Quadratics
503(58)
10.1 Square Root Property and Completing the Square
504(9)
10.2 The Quadratic Formula and the Discriminant
513(9)
10.3 Applications of Quadratic Functions and Solutions of Equations Using Quadratic Methods
522(9)
10.4 Graphs of Quadratic Functions
531(9)
10.5 Quadratic and Other Inequalities
540(11)
Chapter Summary
551(3)
Chapter Test
554(1)
Cumulative Review: Chapter 9 and 10
555(4)
Careers & Mathematics
559(2)
11 Functions and Their Inverses
561(60)
11.1 Algebra of Functions
562(7)
11.2 Inverse Functions
569(9)
11.3 Exponential Functions
578(11)
11.4 Logarithmic Functions
589(9)
11.5 Properties of Logarithms
598(8)
11.6 Exponential and Logarithmic Equations
606(7)
Chapter Summary
613(4)
Chapter Test
617(2)
Careers & Mathematics
619(2)
12 Systems of Equations and Inequalities
621
12.1 Solving Systems of Two Equations in Two Variables
622(8)
12.2 Applications of Systems of Two Equations in Two Variables
630(9)
12.3 Solving Systems of Three Equations in Three Variables
639(6)
12.4 Using Matrices to Solve Systems of Equations
645(9)
12.5 Using Determinants to Solve Systems of Equations
654(7)
12.6 Systems of Inequalities
661(6)
Chapter Summary
667(2)
Chapter Test
669(1)
Cumulative Review: Chapter 11 and 12
670(3)
Careers & Mathematics
673
APPENDIX A CONIC SECTIONS A-1(13)
APPENDIX B BINOMIAL THEOREM A-14(5)
APPENDIX C ARITHMETIC AND GEOMETRIC SEQUENCES A-19(9)
APPENDIX D PERMUTATIONS AND COMBINATIONS A-28(8)
APPENDIX E ANSWERS TO SELECTED EXERCISES A-36
GLOSSARY/INDEX I-1(5)
APPLICATIONS INDEX I-6

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