Intermediate Algebra / Edition 4

Intermediate Algebra / Edition 4

by Alan S. Tussy, R. David Gustafson, Diane Koenig
     
 

ISBN-10: 1439044368

ISBN-13: 9781439044360

Pub. Date: 02/09/2010

Publisher: Cengage Learning

Tussy and Gustafson's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. In this 2nd edition, the concept of function is introduced in Chapter 2 and is stressed throughout the text. Students learn to use function notation, graph functions, and write functions that…  See more details below

Overview

Tussy and Gustafson's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. In this 2nd edition, the concept of function is introduced in Chapter 2 and is stressed throughout the text. Students learn to use function notation, graph functions, and write functions that mathematically model many interesting real-life situations. The authors build the strong mathematical foundation necessary to give students confidence to apply their newly acquired skills in further mathematics courses, at home or on the job.

Product Details

ISBN-13:
9781439044360
Publisher:
Cengage Learning
Publication date:
02/09/2010
Series:
Available Titles CourseMate Series
Edition description:
New Edition
Pages:
1024
Product dimensions:
8.40(w) x 10.70(h) x 1.30(d)

Table of Contents

1A Review of Basic Algebra1
TLE Lesson 1The Real Numbers
1.1The Language of Algebra4
1.2The Real Number System11
1.3Operations with Real Numbers22
1.4Simplifying Algebraic Expressions36
1.5Solving Linear Equations and Formulas47
1.6Using Equations to Solve Problems60
1.7More Problem Solving71
Key Concept: Let x =87
Accent on Teamwork88
Chapter Review89
Chapter Test95
2Graphs, Equations of Lines, and Functions97
TLE Lesson 2The Rectangular Coordinate System
TLE Lesson 3Rate of Change and the Slope of a Line
TLE Lesson 4Function Notation
2.1The Rectangular Coordinate System100
2.2Graphing Linear Equations112
2.3Rate of Change and the Slope of a Line124
2.4Writing Equations of Lines137
2.5Introduction to Functions149
2.6Graphs of Functions162
Key Concept: Functions174
Accent on Teamwork175
Chapter Review176
Chapter Test181
Cumulative Review Exercises183
3Systems of Equations185
TLE Lesson 5Solving Systems of Equations by Graphing
3.1Solving Systems by Graphing188
3.2Solving Systems Algebraically197
3.3Systems of Three Equations211
3.4Solving Systems Using Matrices223
3.5Solving Systems Using Determinants232
Key Concept: Systems of Equations242
Accent on Teamwork243
Chapter Review244
Chapter Test249
Cumulative Review Exercises251
4Inequalities253
TLE Lesson 6Absolute Value Equations
4.1Solving Linear Inequalities256
4.2Solving Compound Inequalities268
4.3Solving Absolute Value Equations and Inequalities278
4.4Linear Inequalities in Two Variables288
4.5Systems of Linear Inequalities297
Key Concept: Inequalities306
Accent on Teamwork307
Chapter Review308
Chapter Test313
Cumulative Review Exercises315
5Exponents, Polynomials, and Polynomial Functions317
TLE Lesson 7The Greatest Common Factor and Factoring by Grouping
TLE Lesson 8Factoring Trinomials and the Difference of Squares
5.1Exponents320
5.2Scientific Notation329
5.3Polynomials and Polynomial Functions336
5.4Multiplying Polynomials348
5.5The Greatest Common Factor and Factoring by Grouping358
5.6The Difference of Two Squares; the Sum and Difference of Two Cubes365
5.7Factoring Trinomials372
5.8Summary of Factoring Techniques381
5.9Solving Equations by Factoring384
Key Concept: Polynomials394
Accent on Teamwork395
Chapter Review396
Chapter Test401
Cumulative Review Exercises403
6Rational Expressions, Equations, and Functions405
TLE Lesson 9Solving Rational Equations
6.1Rational Functions and Simplifying Rational Expressions408
6.2Multiplying and Dividing Rational Expressions419
6.3Adding and Subtracting Rational Expressions428
6.4Complex Fractions436
6.5Equations Containing Rational Expressions445
6.6Dividing Polynomials458
6.7Proportion and Variation469
Key Concept: Expressions and Equations483
Accent on Teamwork484
Chapter Review485
Chapter Test491
Cumulative Review Exercises493
7Radical Expressions, Equations, and Functions496
TLE Lesson 10Simplifying Radical Expressions
TLE Lesson 11Radical Equations
7.1Radical Expressions and Radical Functions499
7.2Simplifying and Combining Radical Expressions510
7.3Multiplying and Dividing Radical Expressions519
7.4Radical Equations528
7.5Rational Exponents536
7.6Geometric Applications of Radicals547
Key Concept: Radicals557
Accent on Teamwork558
Chapter Review559
Chapter Test565
Cumulative Review Exercises567
8Quadratic Equations, Functions, and Inequalities569
TLE Lesson 12The Quadratic Formula
8.1Completing the Square572
8.2The Quadratic Formula582
8.3Quadratic Functions and Their Graphs591
8.4Complex Numbers606
8.5The Discriminant and Equations That Can Be Written in Quadratic Form616
8.6Quadratic and Other Nonlinear Inequalities623
Key Concept: Solving Quadratic Equations631
Accent on Teamwork632
Chapter Review633
Chapter Test639
Cumulative Review Exercises641
9Exponential and Logarithmic Functions644
TLE Lesson 13Exponential Functions
TLE Lesson 14Properties of Logarithms
9.1Algebra and Composition of Functions647
9.2Inverses of Functions654
9.3Exponential Functions664
9.4Base-e Exponential Functions676
9.5Logarithmic Functions684
9.6Base-e Logarithms695
9.7Properties of Logarithms700
9.8Exponential and Logarithmic Equations709
Key Concept: Inverse Functions721
Accent on Teamwork722
Chapter Review723
Chapter Test729
Cumulative Review Exercises731
10Conic Sections; More Graphing733
TLE Lesson 15Introduction to Conic Sections
10.1The Circle and the Parabola736
10.2The Ellipse747
10.3The Hyperbola756
10.4Solving Simultaneous Second-Degree Equations764
Key Concept: Conic Sections770
Accent on Teamwork771
Chapter Review772
Chapter Test775
Cumulative Review Exercises777
Appendix IFractions and Decimals1
Appendix IICumulative Review of Graphing13
Appendix IIIAnswers to Selected Exercises (Appears in the Student Edition only)15
Index1

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