MP Beginning and Intermediate Algebra
ISBN: 9780073312699 | 007331269X
Edition: 2ndFormat: Hardcover
Publisher: McGraw-Hill Science/Engineering/Math
Pub. Date: 1/12/2007
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Built by teachers, just like you, Miller/O'Neill continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate 2e. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the textbook. Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instructio... MORE
| Preface | p. xii |
| Reference | p. 1 |
| Study Tips | p. 2 |
| Fractions | p. 6 |
| Introduction to Geometry | p. 22 |
| The Set of Real Numbers | p. 41 |
| Sets of Numbers and the Real Number Line | p. 42 |
| Order of Operations | p. 53 |
| Addition of Real Numbers | p. 63 |
| Subtraction of Real Numbers | p. 72 |
| Problem Recognition Exerc... MORE | p. 80 |
| Multiplication and Division of Real Numbers | p. 81 |
| Properties of Real Numbers and Simplifying Expressions | p. 92 |
| Summary | p. 105 |
| Review Exercises | p. 109 |
| Test | p. 111 |
| Linear Equations and Inequalities | p. 113 |
| Addition, Subtraction, Multiplication, and Division Properties of Equality | p. 114 |
| Solving Linear Equations | p. 125 |
| Linear Equations: Clearing Fractions and Decimals | p. 134 |
| Applications of Linear Equations: Introduction to Problem Solving | p. 141 |
| Applications Involving Percents | p. 156 |
| Formulas and Applications of Geometry | p. 163 |
| Linear Inequalities | p. 174 |
| Summary | p. 189 |
| Review Exercises | p. 195 |
| Test | p. 198 |
| Cumulative Review Exercises, Chapters 1-2 | p. 199 |
| Graphing Linear Equations in Two Variables | p. 201 |
| Rectangular Coordinate System | p. 202 |
| Linear Equations in Two Variables | p. 213 |
| Slope of a Line | p. 230 |
| Slope-Intercept Form of a Line | p. 245 |
| Point-Slope Formula | p. 256 |
| Applications of Linear Equations | p. 265 |
| Summary | p. 276 |
| Review Exercises | p. 280 |
| Test | p. 284 |
| Cumulative Review Exercises, Chapters 1-3 | p. 286 |
| Systems of Linear Equations in Two Variables | p. 289 |
| Solving Systems of Equations by the Graphing Method | p. 290 |
| Solving Systems of Equations by the Substitution Method | p. 302 |
| Solving Systems of Equations by the Addition Method | p. 312 |
| Applications of Linear Equations in Two Variables | p. 323 |
| Summary | p. 334 |
| Review Exercises | p. 337 |
| Test | p. 340 |
| Cumulative Review Exercises, Chapters 1-4 | p. 341 |
| Polynomials and Properties of Exponents | p. 343 |
| Exponents: Multiplying and Dividing Common Bases | p. 344 |
| More Properties of Exponents | p. 354 |
| Definitions of b[superscript 0] and b[superscript -n] | p. 359 |
| Scientific Notation | p. 367 |
| Problem Recognition Exercises-Properties of Exponents | p. 376 |
| Addition and Subtraction of Polynomials | p. 376 |
| Multiplication of Polynomials | p. 388 |
| Division of Polynomials | p. 398 |
| Problem Recognition Exercises-Operations on Polynomials | p. 410 |
| Summary | p. 411 |
| Review Exercises | p. 414 |
| Test | p. 417 |
| Cumulative Review Exercises, Chapters 1-5 | p. 418 |
| Factoring Polynomials | p. 421 |
| Greatest Common Factor and Factoring by Grouping | p. 422 |
| Factoring Trinomials of the Form x[superscript 2] + bx + c (Optional) | p. 432 |
| Factoring Trinomials: Triai-and-Error Method | p. 438 |
| Factoring Trinomials: AC-Method | p. 449 |
| Factoring Binomials | p. 458 |
| General Factoring Summary | p. 466 |
| Solving Equations Using the Zero Product Rule | p. 471 |
| Summary | p. 485 |
| Review Exercises | p. 489 |
| Test | p. 491 |
| Cumulative Review Exercises, Chapters 1-6 | p. 492 |
| Rational Expressions | p. 493 |
| Introduction to Rational Expressions | p. 494 |
| Multiplication and Division of Rational Expressions | p. 504 |
| Least Common Denominator | p. 510 |
| Addition and Subtraction of Rational Expressions | p. 518 |
| Problem Recognition Exercises-Operations on Rational Expressions | p. 528 |
| Complex Fractions | p. 529 |
| Rational Equations | p. 537 |
| Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions | p. 547 |
| Applications of Rational Equations and Proportions | p. 548 |
| Summary | p. 561 |
| Review Exercises | p. 566 |
| Test | p. 568 |
| Cumulative Review Exercises, Chapters 1-7 | p. 569 |
| Introduction to Relations and Functions | p. 571 |
| Introduction to Relations | p. 572 |
| Introduction to Functions | p. 580 |
| Graphs of Functions | p. 593 |
| Variation | p. 606 |
| Summary | p. 615 |
| Review Exercises | p. 618 |
| Test | p. 622 |
| Cumulative Review Exercises, Chapters 1-8 | p. 623 |
| Systems of Linear Equations in Three Variables | p. 625 |
| Systems of Linear Equations in Three Variables | p. 626 |
| Applications of Systems of Linear Equations in Three Variables | p. 634 |
| Solving Systems of Linear Equations by Using Matrices | p. 640 |
| Determinants and Cramer's Rule | p. 650 |
| Summary | p. 662 |
| Review Exercises | p. 666 |
| Test | p. 667 |
| Cumulative Review Exercises, Chapters 1-9 | p. 668 |
| More Equations and Inequalities | p. 671 |
| Compound Inequalities | p. 672 |
| Polynomial and Rational Inequalities | p. 681 |
| Absolute Value Equations | p. 693 |
| Absolute Value Inequalities | p. 700 |
| Problem Recognition Exercises-Equations and Inequalities | p. 712 |
| Linear Inequalities in Two Variables | p. 713 |
| Summary | p. 727 |
| Review Exercises | p. 731 |
| Test | p. 735 |
| Cumulative Review Exercises, Chapters 1-10 | p. 736 |
| Radicals and Complex Numbers | p. 739 |
| Definition of an nth Root | p. 740 |
| Rational Exponents | p. 752 |
| Simplifying Radical Expressions | p. 760 |
| Addition and Subtraction of Radicals | p. 767 |
| Multiplication of Radicals | p. 773 |
| Rationalization | p. 781 |
| Problem Recognition Exercises-Operations on Radicals | p. 788 |
| Radical Equations | p. 789 |
| Complex Numbers | p. 800 |
| Summary | p. 811 |
| Review Exercises | p. 816 |
| Test | p. 819 |
| Cumulative Review Exercises, Chapters 1-11 | p. 820 |
| Quadratic Equations and Functions | p. 823 |
| Square Root Property and Completing the Square | p. 824 |
| Quadratic Formula | p. 833 |
| Equations in Quadratic Form | p. 846 |
| Graphs of Quadratic Functions | p. 853 |
| Vertex of a Parabola and Applications | p. 867 |
| Summary | p. 880 |
| Review Exercises | p. 883 |
| Test | p. 886 |
| Cumulative Review Exercises, Chapters 1-12 | p. 888 |
| Exponential and Logarithmic Functions | p. 891 |
| Algebra and Composition of Functions | p. 892 |
| Inverse Functions | p. 900 |
| Exponential Functions | p. 911 |
| Logarithmic Functions | p. 921 |
| Properties of Logarithms | p. 935 |
| The Irrational Number e | p. 944 |
| Problem Recognition Exercises-Logarithmic and Exponential Forms | p. 957 |
| Logarithmic and Exponential Equations | p. 958 |
| Summary | p. 972 |
| Review Exercises | p. 978 |
| Test | p. 982 |
| Cumulative Review Exercises, Chapters 1-13 | p. 984 |
| Conic Sections and Nonlinear Systems | p. 987 |
| Distance Formula and Circles | p. 988 |
| More on the Parabola | p. 997 |
| The Ellipse and Hyperbola | p. 1006 |
| Nonlinear Systems of Equations in Two Variables | p. 1015 |
| Nonlinear Inequalities and Systems of Inequalities | p. 1024 |
| Summary | p. 1033 |
| Review Exercises | p. 1037 |
| Test | p. 1041 |
| Cumulative Review Exercises, Chapters 1-14 | p. 1042 |
| Beginning Algebra Review | p. R-1 |
| Set of Real Numbers | p. R-1 |
| Linear Equations in One Variable | p. R-10 |
| Linear Equations in Two Variables | p. R-15 |
| Systems of Linear Equations in Two Variables | p. R-25 |
| Polynomials and Properties of Exponents | p. R-31 |
| Factoring Polynomials and Solving Quadratic Equations | p. R-37 |
| Rational Expressions | p. R-42 |
| Additional Topics Appendix Posted in MathZone (www.mathzone.com) | |
| Binomial Expansions | |
| Sequences and Series | |
| Arithmetic and Geometric Sequences and Series | |
| Fundamentals of Counting | |
| Introduction to Probability | |
| Student Answer Appendix | p. SA-1 |
| Table of Contents provided by Ingram. All Rights Reserved. |
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