Intermediate Algebra / Edition 4 available in Hardcover, Other Format
- ISBN-10:
- 0321912578
- ISBN-13:
- 9780321912572
- Pub. Date:
- 01/13/2014
- Publisher:
- Pearson Education
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Overview
The Carson Algebra Series guides students to success by presenting the why behind understanding algebra, and includes the complete Carson Math Study System with a Learning Styles Inventory to address individual learning styles. The Carson Math Study System adapts to the way each student learns, and targeted learning strategies are presented throughout the program. The authors speak to students in everyday language and walk them through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work to foster conceptual understanding.
Product Details
| ISBN-13: | 9780321912572 |
|---|---|
| Publisher: | Pearson Education |
| Publication date: | 01/13/2014 |
| Edition description: | 4th ed. |
| Pages: | 872 |
| Product dimensions: | 8.10(w) x 10.80(h) x 1.10(d) |
About the Author
Bill Jordan received his BS from Rollins College and his MAT from Tulane University. A decorated teacher for more than 40 years, Bill has served as the chair of the math department at Seminole Community College and has taught at Rollins College. He has been a member and leader of numerous professional organizations, including the Florida Two-Year College Mathematical Association (president), Florida Council of Teachers of Mathematics (district director), and others. In addition to his work on the Carson series, Bill is also the lead author of Integrated Algebra and Arithmetic, 2/e, also published by Pearson. In his spare time, he enjoys fishing, traveling, and hiking.
Table of Contents
Preface viTo the Student xiii
Learning Styles Inventory xv
The Carson Math Study System xvii
1 Real Numbers and
Expressions 1
1.1 Sets and the Structure of Algebra 2
1.2 Operations with Real Numbers; Properties
of Real Numbers 12
1.3 Exponents, Roots, and Order of
Operations 24
1.4 Evaluating and Rewriting Expressions 34
Summary and Review Exercises 45
Practice Test 53
2 Linear Equations and Inequalities
in One Variable 55
2.1 Linear Equations and Formulas 56
2.2 Solving Problems 66
2.3 Solving Linear Inequalities 74
2.4 Compound Inequalities 85
2.5 Equations Involving Absolute Value 96
2.6 Inequalities Involving Absolute
Value 100
Summary and Review Exercises 108
Practice Test 116
Chapters 1—2 Cumulative Review
Exercises 118
3 Equations and Inequalities in Two
Variables; Functions 120
3.1 Graphing Linear Equations 121
3.2 The Slope of a Line 133
3.3 The Equation of a Line 145
3.4 Graphing Linear Inequalities 156
3.5 Introduction to Functions and Function
Notation 164
Summary and Review Exercises 182
Practice Test 192
Chapters 1—3 Cumulative Review
Exercises 194
4 Systems of Linear Equations
and Inequalities 197
4.1 Solving Systems of Linear Equations
in Two Variables 198
4.2 Solving Systems of Linear Equations
in Three Variables 216
4.3 Solving Applications Using Systems
of Equations 223
4.4 Solving Systems of Linear Equations
Using Matrices 236
4.5 Solving Systems of Linear Inequalities 245
Summary and Review Exercises 252
Practice Test 259
Chapters 1—4 Cumulative Review
Exercises 261
5 Exponents, Polynomials, and
Polynomial Functions 263
5.1 Exponents and Scientific Notation 264
5.2 Polynomials and Polynomial Functions 280
5.3 Multiplying Polynomials 294
5.4 Dividing Polynomials 305
5.5 Synthetic Division and the Remainder
Theorem 313
Summary and Review Exercises 319
Practice Test 327
Chapters 1—5 Cumulative Review
Exercises 329
6 Factoring 331
6.1 Greatest Common Factor and
Factoring by Grouping 332
6.2 Factoring Trinomials 340
6.3 Factoring Special Products
and Factoring Strategies 350
6.4 Solving Equations by Factoring 361
Summary and Review Exercises 374
Practice Test 381
Chapters 1—6 Cumulative Review
Exercises 383
7 Rational Expressions and
Equations 386
7.1 Simplifying, Multiplying, and Dividing
Rational Expressions 387
7.2 Adding and Subtracting Rational
Expressions 402
7.3 Simplifying Complex Rational
Expressions 414
7.4 Solving Equations Containing Rational
Expressions 423
7.5 Applications with Rational Expressions;
Variation 430
Summary and Review Exercises 444
Practice Test 456
Chapters 1—7 Cumulative Review
Exercises 458
8 Rational Exponents, Radicals,
and Complex Numbers 460
8.1 Radical Expressions and Functions 461
8.2 Rational Exponents 471
8.3 Multiplying, Dividing, and Simplifying
Radicals 481
8.4 Adding, Subtracting, and Multiplying
Radical Expressions 489
8.5 Rationalizing Numerators and Denominators
of Radical Expressions 496
8.6 Radical Equations and Problem Solving 506
8.7 Complex Numbers 515
Summary and Review Exercises 523
Practice Test 533
Chapters 1—8 Cumulative Review
Exercises 535
9 Quadratic Equations and
Functions 537
9.1 The Square Root Principle and Completing
the Square 538
9.2 Solving Quadratic Equations Using the
Quadratic Formula 548
9.3 Solving Equations That Are Quadratic
in Form 559
9.4 Graphing Quadratic Functions 568
9.5 Solving Nonlinear Inequalities 580
Summary and Review Exercises 591
Practice Test 598
Chapters 1—9 Cumulative Review
Exercises 601
10 Exponential and Logarithmic
Functions 603
10.1 Composite and Inverse Functions 604
10.2 Exponential Functions 616
10.3 Logarithmic Functions 625
10.4 Properties of Logarithms 633
10.5 Common and Natural Logarithms 641
10.6 Exponential and Logarithmic Equations with
Applications 646
Summary and Review Exercises 657
Practice Test 669
Chapters 1—10 Cumulative Review
Exercises 671
11 Conic Sections 673
11.1 Parabolas and Circles 674
11.2 Ellipses and Hyperbolas 687
11.3 Nonlinear Systems of Equations 698
11.4 Nonlinear Inequalities and Systems of
Inequalities 704
Summary and Review Exercises 711
Practice Test 720
Chapters 1—11 Cumulative Review
Exercises 722
Appendixes 673
A. Arithmetic Sequences and Series APP-1
B. Geometric Sequences and Series APP-8
C. The Binomial Theorem APP-15
D. Solving Systems of Linear Equations
Using Cramer’s Rule APP-20
E. Permutations and Combinations
(available online via MyMathLab)
F. Probability
(available online via MyMathLab)
Photo Credits P-1
Collaborative Exercises C-1
Answers A-1
Glossary G-1
Index of Applications IA-1
Index I-1