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Index of Applications | p. xiii |
Index of Study Tips | p. xvii |
Preface | p. xix |
Review of Basic Algebra | |
The Set of Real Numbers | p. 2 |
Operations with Real Numbers | p. 13 |
Exponential Notation and Order of Operations | p. 25 |
Introduction to Algebraic Expressions | p. 35 |
Equivalent Algebraic Expressions | p. 42 |
Simplifying Algebraic Expressions | p. 50 |
Properties of Exponents and Scientific Notation | p. 58 |
Summary and Review | p. 70 |
Test | p. 73 |
Solving Linear Equations and Inequalities | |
Solving Equations | p. 76 |
Formulas and Applications | p. 90 |
Applications and Problem Solving | p. 99 |
Sets, Inequalities, and Interval Notation | p. 113 |
Translating for Success | p. 122 |
Intersections, Unions, and Compound Inequalities | p. 129 |
Absolute-Value Equations and Inequalities | p. 141 |
Summary and Review | p. 152 |
Test | p. 155 |
Graphs, Functions, and Applications | |
Graphs of Equations | p. 158 |
Functions and Graphs | p. 174 |
Finding Domain and Range | p. 189 |
Linear Functions: Graphs and Slope | p. 194 |
More on Graphing Linear Equations | p. 205 |
Visualizing for Success | p. 213 |
Finding Equations of Lines; Applications | p. 218 |
Summary and Review | p. 232 |
Test | p. 236 |
Cumulative Review: Chapters R-2 | p. 240 |
Systems of Equations | |
Systems of Equations in Two Variables | p. 244 |
Solving by Substitution | p. 253 |
Solving by Elimination | p. 259 |
Solving Applied Problems: Two Equations | p. 269 |
Translating for Success | p. 278 |
Systems of Equations in Three Variables | p. 283 |
Solving Applied Problems: Three Equations | p. 290 |
Systems of Inequalities in Two Variables | p. 298 |
Visualizing for Success | p. 308 |
Business and Economics Applications | p. 314 |
Summary and Review | p. 320 |
Test | p. 323 |
Polynomials and Polynomial Functions | |
Introduction to Polynomials and Polynomial Functions | p. 326 |
Multiplication of Polynomials | p. 338 |
Introduction to Factoring | p. 349 |
Factoring Trinomials: x[superscript 2] + bx + c | p. 356 |
Factoring Trinomials: ax[superscript 2] + bx + c, a [not equal] 1 | p. 362 |
Special Factoring | p. 371 |
Visualizing for Success | p. 378 |
Factoring: A General Strategy | p. 383 |
Applications of Polynomial Equations and Functions | p. 388 |
Translating for Success | p. 396 |
Summary and Review | p. 402 |
Test | p. 405 |
Cumulative Review: Chapters R-4 | p. 407 |
Rational Expressions, Equations, and Functions | |
Rational Expressions and Functions: Multiplying, Dividing, and Simplifying | p. 412 |
LCMs, LCDs, Addition, and Subtraction | p. 425 |
Division of Polynomials | p. 436 |
Complex Rational Expressions | p. 444 |
Solving Rational Equations | p. 451 |
Applications and Proportions | p. 460 |
Translating for Success | p. 469 |
Formulas and Applications | p. 475 |
Variation and Applications | p. 479 |
Summary and Review | p. 490 |
Test | p. 493 |
Radical Expressions, Equations, and Functions | |
Radical Expressions and Functions | p. 496 |
Rational Numbers as Exponents | p. 508 |
Simplifying Radical Expressions | p. 515 |
Addition, Subtraction, and More Multiplication | p. 524 |
More on Division of Radical Expressions | p. 530 |
Solving Radical Equations | p. 535 |
Applications Involving Powers and Roots | p. 547 |
Translating for Success | p. 549 |
The Complex Numbers | p. 554 |
Summary and Review | p. 565 |
Test | p. 568 |
Cumulative Review: Chapters R-6 | p. 570 |
Quadratic Equations and Functions | |
The Basics of Solving Quadratic Equations | p. 574 |
The Quadratic Formula | p. 588 |
Applications Involving Quadratic Equations | p. 596 |
Translating for Success | p. 602 |
More on Quadratic Equations | p. 608 |
Graphing f(x) = a(x - h)[superscript 2] + k | p. 617 |
Graphing f(x) = ax[superscript 2] + bx + c | p. 628 |
Visualizing for Success | p. 633 |
Mathematical Modeling with Quadratic Functions | p. 638 |
Polynomial and Rational Inequalities | p. 652 |
Summary and Review | p. 660 |
Test | p. 663 |
Exponential and Logarithmic Functions | |
Exponential Functions | p. 666 |
Inverse and Composite Functions | p. 680 |
Logarithmic Functions | p. 698 |
Properties of Logarithmic Functions | p. 709 |
Natural Logarithmic Functions | p. 715 |
Visualizing for Success | p. 720 |
Solving Exponential and Logarithmic Equations | p. 724 |
Mathematical Modeling with Exponential and Logarithmic Functions | p. 731 |
Translating for Success | p. 740 |
Summary and Review | p. 746 |
Test | p. 750 |
Cumulative Review: Chapters R-8 | p. 753 |
Conic Sections | |
Parabolas and Circles | p. 758 |
Ellipses | p. 771 |
Hyperbolas | p. 779 |
Visualizing for Success | p. 783 |
Nonlinear Systems of Equations | p. 787 |
Summary and Review | p. 797 |
Test | p. 801 |
Cumulative Review/Final Examination: Chapters R-9 | p. 803 |
Appendixes | |
Handling Dimension Symbols | p. 810 |
Determinants and Cramer's Rule | p. 813 |
Elimination Using Matrices | p. 818 |
The Algebra of Functions | p. 823 |
Photo Credits | p. 826 |
Answers (Student Edition only) | p. 1 |
Glossary | p. 1 |
Index | p. 1 |
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