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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