Preface | p. xiii |

Index of Applications | p. xxiv |

Review of Real Numbers | p. 2 |

Tips for Success in Mathematics | p. 4 |

Symbols and Sets of Numbers | p. 8 |

Fractions | p. 17 |

Introduction to Variable Expressions and Equations | p. 25 |

Adding Real Numbers | p. 34 |

Subtracting Real Numbers | p. 41 |

Multiplying and Dividing Real Numbers | p. 48 |

Properties of Real Numbers | p. 56 |

Reading Graphs | p. 61 |

Chapter 1 Project: Creating and Interpreting Graphs | p. 68 |

Chapter 1 Vocabulary Check | p. 68 |

Chapter 1 Highlights | p. 69 |

Chapter 1 Review | p. 73 |

Chapter 1 Test | p. 76 |

Equations, Inequalities, and Problem Solving | p. 78 |

Simplifying Algebraic Expressions | p. 80 |

The Addition and Multiplication Properties of Equality | p. 86 |

Solving Linear Equations | p. 96 |

An Introduction to Problem Solving | p. 104 |

Formulas and Problem Solving | p. 113 |

Percent and Problem Solving | p. 121 |

Solving Linear Inequalities | p. 130 |

Chapter 2 Project: Developing a Budget | p. 140 |

Chapter 2 Vocabulary Check | p. 141 |

Chapter 2 Highlights | p. 142 |

Chapter 2 Review | p. 146 |

Chapter 2 Test | p. 148 |

Chapter 2 Cumulative Review | p. 149 |

Graphs and Functions | p. 150 |

The Rectangular Coordinate System | p. 152 |

Graphing Equations | p. 163 |

Introduction to Functions | p. 173 |

Graphing Linear Functions | p. 188 |

The Slope of a Line | p. 195 |

Equations of Lines | p. 209 |

Graphing Linear Inequalities | p. 220 |

Chapter 3 Project: Modeling Real Data | p. 225 |

Chapter 3 Vocabulary Check | p. 226 |

Chapter 3 Highlights | p. 227 |

Chapter 3 Review | p. 232 |

Chapter 3 Test | p. 235 |

Chapter 3 Cumulative Review | p. 236 |

Solving Systems of Linear Equations | p. 238 |

Solving Systems of Linear Equations by Graphing | p. 240 |

Solving Systems of Linear Equations by Substitution | p. 247 |

Solving Systems of Linear Equations by Addition | p. 253 |

Systems of Linear Equations and Problem Solving | p. 259 |

Chapter 4 Project: Analyzing the Courses of Ships | p. 269 |

Chapter 4 Vocabulary Check | p. 270 |

Chapter 4 Highlights | p. 271 |

Chapter 4 Review | p. 274 |

Chapter 4 Test | p. 275 |

Chapter 4 Cumulative Review | p. 276 |

Exponents and Polynomials | p. 278 |

Exponents | p. 280 |

Negative Exponents and Scientific Notation | p. 290 |

Polynomial Functions and Adding and Subtracting Polynomials | p. 298 |

Multiplying Polynomials | p. 309 |

Special Products | p. 313 |

Dividing Polynomials | p. 320 |

Synthetic Division and the Remainder Theorem | p. 326 |

Chapter 5 Project: Modeling with Polynomials | p. 330 |

Chapter 5 Vocabulary Check | p. 331 |

Chapter 5 Highlights | p. 332 |

Chapter 5 Review | p. 334 |

Chapter 5 Test | p. 337 |

Chapter 5 Cumulative Review | p. 338 |

Factoring Polynomials | p. 340 |

The Greatest Common Factor and Factoring by Grouping | p. 342 |

Factoring Trinomials of the Form x[subscript 2] + bx + c | p. 348 |

Factoring Trinomials of the Form ax[subscript 2] + bx + c | p. 354 |

Factoring Binomials | p. 362 |

Choosing a Factoring Strategy | p. 368 |

Solving Quadratic Equations by Factoring | p. 373 |

Quadratic Equations and Problem Solving | p. 380 |

An Introduction to Graphing Polynomial Functions | p. 391 |

Chapter 6 Project: Choosing Among Building Options | p. 400 |

Chapter 6 Vocabulary Check | p. 400 |

Chapter 6 Highlights | p. 401 |

Chapter 6 Review | p. 405 |

Chapter 6 Test | p. 406 |

Chapter 6 Cumulative Review | p. 407 |

Rational Expressions | p. 408 |

Rational Functions and Simplifying Rational Expressions | p. 410 |

Multiplying and Dividing Rational Expressions | p. 418 |

Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator | p. 425 |

Adding and Subtracting Rational Expressions with Unlike Denominators | p. 432 |

Simplifying Complex Fractions | p. 438 |

Solving Equations Containing Rational Expressions | p. 445 |

Ratio and Proportion | p. 453 |

Rational Equations and Problem Solving | p. 459 |

Chapter 7 Project: Comparing Dosage Formulas | p. 467 |

Chapter 7 Vocabulary Check | p. 468 |

Chapter 7 Highlights | p. 469 |

Chapter 7 Review | p. 472 |

Chapter 7 Test | p. 475 |

Chapter 7 Cumulative Review | p. 476 |

Transitions to Intermediate Algebra | p. 478 |

Review Solving Equations | p. 480 |

Further Problem Solving | p. 484 |

Compound Inequalities | p. 495 |

Absolute Value Equations | p. 502 |

Absolute Value Inequalities | p. 507 |

Solving Systems of Linear Equations in Three Variables | p. 513 |

Solving Systems of Equations by Matrices | p. 521 |

Solving Systems of Equations by Determinants | p. 527 |

Chapter 8 Project: Analyzing Municipal Budgets | p. 534 |

Chapter 8 Vocabulary Check | p. 536 |

Chapter 8 Highlights | p. 536 |

Chapter 8 Review | p. 543 |

Chapter 8 Test | p. 545 |

Chapter 8 Cumulative Review | p. 546 |

Radicals, Rational Exponents, and Complex Numbers | p. 548 |

Radicals and Radical Functions | p. 550 |

Rational Exponents | p. 557 |

Simplifying Radical Expressions | p. 564 |

Adding, Subtracting, and Multiplying Radical Expressions | p. 570 |

Rationalizing Denominators and Numerators of Radical Expressions | p. 574 |

Radical Equations and Problem Solving | p. 580 |

Complex Numbers | p. 589 |

Chapter 9 Project: Calculating the Length and Period of a Pendulum | p. 596 |

Chapter 9 Vocabulary Check | p. 597 |

Chapter 9 Highlights | p. 598 |

Chapter 9 Review | p. 601 |

Chapter 9 Test | p. 603 |

Chapter 9 Cumulative Review | p. 604 |

Quadratic Equations and Functions | p. 606 |

Solving Quadratic Equations by Completing the Square | p. 608 |

Solving Quadratic Equations by the Quadratic Formula | p. 618 |

Solving Equations by Using Quadratic Methods | p. 627 |

Nonlinear Inequalities in One Variable | p. 636 |

Variation and Problem Solving | p. 643 |

Quadratic Functions and Their Graphs | p. 652 |

Further Graphing of Quadratic Functions | p. 659 |

Chapter 10 Project: Fitting a Quadratic Model to Data | p. 667 |

Chapter 10 Vocabulary Check | p. 668 |

Chapter 10 Highlights | p. 668 |

Chapter 10 Review | p. 671 |

Chapter 10 Test | p. 673 |

Chapter 10 Cumulative Review | p. 674 |

Exponential and Logarithmic Functions | p. 676 |

The Algebra of Functions; Composite Functions | p. 678 |

Inverse Functions | p. 683 |

Exponential Functions | p. 694 |

Logarithmic Functions | p. 702 |

Properties of Logarithms | p. 709 |

Common Logarithms, Natural Logarithms, and Change of Base | p. 715 |

Exponential and Logarithmic Equations and Applications | p. 721 |

Chapter 11 Project: Modeling Temperature | p. 727 |

Chapter 11 Vocabulary Check | p. 729 |

Chapter 11 Highlights | p. 729 |

Chapter 11 Review | p. 732 |

Chapter 11 Test | p. 735 |

Chapter 11 Cumulative Review | p. 736 |

Sequences, Series, and the Binomial Theorem | p. 738 |

Sequences | p. 740 |

Arithmetic and Geometric Sequences | p. 744 |

Series | p. 751 |

Partial Sums of Arithmetic and Geometric Sequences | p. 756 |

The Binomial Theorem | p. 763 |

Chapter 12 Project: Modeling College Tuition | p. 768 |

Chapter 12 Vocabulary Check | p. 769 |

Chapter 12 Highlights | p. 769 |

Chapter 12 Review | p. 771 |

Chapter 12 Test | p. 773 |

Chapter 12 Cumulative Review | p. 774 |

Conic Sections | p. 776 |

The Parabola and the Circle | p. 778 |

The Ellipse and the Hyperbola | p. 787 |

Solving Nonlinear Systems of Equations | p. 796 |

Nonlinear Inequalities and Systems of Inequalities | p. 802 |

Chapter 13 Project: Modeling Conic Sections | p. 806 |

Chapter 13 Vocabulary Check | p. 807 |

Chapter 13 Highlights | p. 808 |

Chapter 13 Review | p. 810 |

Chapter 13 Test | p. 812 |

Chapter 13 Cumulative Review | p. 813 |

Appendices | p. 815 |

Operations on Decimals | p. 815 |

Review of Angles, Lines, and Special Triangles | p. 817 |

Review of Geometric Figures | p. 825 |

Review of Volume and Surface Area | p. 829 |

Mean, Median, and Mode | p. 835 |

Introduction to Using a Graphing Utility | p. 839 |

Table of Squares and Square Roots | p. 845 |

Answers to Selected Exercises | p. 1 |

Index | p. 1 |

Photo Credits | p. 1 |

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