| Preface |
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| To The Student |
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xvi | |
| Are You Ready For College Algebra? |
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xvii | |
| Prologue: Principles Of Problem Solving |
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1 | |
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1 | (86) |
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1 | (1) |
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P.1 Modeling the Real World with Algebra |
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2 | (4) |
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6 | (12) |
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P.3 Integer Exponents and Scientific Notation |
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18 | (7) |
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P.4 Rational Exponents and Radicals |
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25 | (7) |
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P.5 Algebraic Expressions |
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32 | (5) |
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37 | (7) |
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44 | (9) |
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P.8 Solving Basic Equations |
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53 | (8) |
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P.9 Modeling with Equations |
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61 | (26) |
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74 | (5) |
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79 | (2) |
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Focus On Modeling Making the Best Decisions |
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81 | (6) |
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Chapter 1 Equations and Graphs |
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87 | (96) |
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87 | (1) |
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88 | (6) |
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1.2 Graphs of Equations in Two Variables; Circles |
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94 | (10) |
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104 | (11) |
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1.4 Solving Quadratic Equations |
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115 | (11) |
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126 | (6) |
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1.6 Solving Other Types of Equations |
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132 | (9) |
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141 | (9) |
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1.8 Solving Absolute Value Equations and Inequalities |
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150 | (4) |
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1.9 Solving Equations and Inequalities Graphically |
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154 | (5) |
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159 | (15) |
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167 | (5) |
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172 | (2) |
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Focus On Modeling Fitting Lines to Data |
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174 | (9) |
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183 | (98) |
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183 | (1) |
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184 | (11) |
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195 | (11) |
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2.3 Getting Information from the Graph of a Function |
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206 | (13) |
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2.4 Average Rate of Change of a Function |
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219 | (7) |
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2.5 Linear Functions and Models |
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226 | (8) |
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2.6 Transformations of Functions |
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234 | (12) |
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246 | (9) |
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2.8 One-to-One Functions and Their Inverses |
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255 | (26) |
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265 | (6) |
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271 | (2) |
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Focus On Modeling Modeling with Functions |
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273 | (8) |
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Chapter 3 Polynomial and Rational Functions |
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281 | (84) |
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281 | (1) |
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3.1 Quadratic Functions and Models |
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282 | (8) |
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3.2 Polynomial Functions and Their Graphs |
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290 | (15) |
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305 | (6) |
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3.4 Real Zeros of Polynomials |
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311 | (12) |
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3.5 Complex Zeros and the Fundamental Theorem of Algebra |
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323 | (8) |
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331 | (16) |
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3.7 Polynomial and Rational Inequalities |
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347 | (18) |
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353 | (6) |
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359 | (2) |
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Focus On Modeling Fitting Polynomial Curves to Data |
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361 | (4) |
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Chapter 4 Exponential and Logarithmic Functions |
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365 | (72) |
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365 | (1) |
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4.1 Exponential Functions |
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366 | (8) |
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4.2 The Natural Exponential Function |
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374 | (6) |
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4.3 Logarithmic Functions |
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380 | (10) |
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390 | (6) |
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4.5 Exponential and Logarithmic Equations |
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396 | (10) |
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4.6 Modeling with Exponential Functions |
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406 | (11) |
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417 | (20) |
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422 | (5) |
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427 | (1) |
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Focus On Modeling Fitting Exponential and Power Curves to Data |
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428 | (9) |
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Cumulative Review Test:
Chapters 2, 3, and 4 (Website) |
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Chapter 5 Systems of Equations and Inequalities |
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437 | (52) |
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437 | (1) |
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5.1 Systems of Linear Equations in Two Variables |
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438 | (10) |
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5.2 Systems of Linear Equations in Several Variables |
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448 | (9) |
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457 | (5) |
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5.4 Systems of Nonlinear Equations |
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462 | (5) |
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5.5 Systems of Inequalities |
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467 | (22) |
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477 | (4) |
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481 | (1) |
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Focus On Modeling Linear Programming |
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482 | (7) |
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Chapter 6 Matrices and Determinants |
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489 | (58) |
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489 | (1) |
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6.1 Matrices and Systems of Linear Equations |
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490 | (13) |
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6.2 The Algebra of Matrices |
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503 | (12) |
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6.3 Inverses of Matrices and Matrix Equations |
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515 | (10) |
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6.4 Determinants and Cramer's Rule |
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525 | (22) |
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536 | (5) |
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541 | (1) |
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Focus On Modeling Computer Graphics |
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542 | (5) |
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547 | (44) |
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547 | (1) |
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548 | (8) |
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556 | (9) |
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565 | (8) |
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573 | (18) |
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582 | (4) |
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586 | (1) |
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Focus On Modeling Conies in Architecture |
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587 | (4) |
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Cumulative Review Test:
Chapters 5, 6, and 7 (Website) |
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Chapter 8 Sequences and Series |
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591 | (56) |
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591 | (1) |
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8.1 Sequences and Summation Notation |
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592 | (11) |
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603 | (5) |
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608 | (9) |
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8.4 Mathematics of Finance |
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617 | (6) |
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8.5 Mathematical Induction |
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623 | (6) |
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629 | (18) |
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637 | (5) |
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642 | (1) |
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Focus On Modeling Modeling with Recursive Sequences |
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643 | (4) |
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Chapter 9 Counting and Probability |
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647 | (44) |
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647 | (1) |
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648 | (12) |
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660 | (12) |
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672 | (5) |
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677 | (14) |
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681 | (5) |
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686 | (1) |
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Focus On Modeling The Monte Carlo Method |
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687 | (4) |
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Cumulative Review Test:
Chapters 8 and 9 (Website) |
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| Appendix A Calculations and Significant Figures |
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691 | (2) |
| Appendix B Graphing with a Graphing Calculator |
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693 | (6) |
| Appendix C Using the TI-83/84 Graphing Calculator |
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699 | |
| Answers |
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1 | (1) |
| Index |
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1 | |
