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Category : Higher Education
Preface vi To 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 Table of Contents
What is Test Bank?
The test bank is a guide for testing and exams. It contains a lot of questions with their correct answers related to an academic textbook. Test banks usually contain true/false questions, multiple choice questions, and essay questions. Authors provide those guides to help instructors and teachers create their exams and tests easily and fast. We recommend all students to download the sample attached to each test bank page and review them deeply..
What is Solutions Manual?
The solutions manual is a guide where you can find all the correct answers (odd and even) to your textbooks’ questions, cases, and problems.
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