Preface | p. xi |

Introduction to Algebraic Expressions | |

Introduction to Algebra | p. 2 |

The Commutative, Associative, and Distributive Laws | p. 11 |

Fraction Notation | p. 18 |

Positive and Negative Real Numbers | p. 26 |

Addition of Real Numbers | p. 34 |

Subtraction of Real Numbers | p. 41 |

Multiplication and Division of Real Numbers | p. 48 |

Exponential Notation and Order of Operations | p. 55 |

Connecting the Concepts | p. 61 |

Summary and Review | p. 64 |

Test | p. 66 |

Equations, Inequalities, and Problem Solving | |

Solving Equations | p. 70 |

Using the Principles Together | p. 77 |

Connecting the Concepts | p. 77 |

Formulas | p. 85 |

Applications with Percent | p. 91 |

Problem Solving | p. 98 |

Solving Inequalities | p. 109 |

Solving Applications with Inequalities | p. 117 |

Summary and Review | p. 125 |

Test | p. 127 |

Introduction to Graphing | |

Reading Graphs, Plotting Points, and Estimating Values | p. 130 |

Graphing Linear Equations | p. 142 |

Graphing and Intercepts | p. 152 |

Rates | p. 161 |

Slope | p. 170 |

Connecting the Concepts | p. 177 |

Slope-Intercept Form | p. 183 |

Point-Slope Form | p. 191 |

Summary and Review | p. 196 |

Test | p. 198 |

Cumulative Review: Chapters 1-3 | p. 199 |

Polynomials | |

Exponents and Their Properties | p. 202 |

Polynomials | p. 210 |

Addition and Subtraction of Polynomials | p. 218 |

Connecting the Concepts | p. 220 |

Multiplication of Polynomials | p. 227 |

Special Products | p. 235 |

Polynomials in Several Variables | p. 244 |

Division of Polynomials | p. 253 |

Negative Exponents and Scientific Notation | p. 258 |

Summary and Review | p. 268 |

Test | p. 271 |

Polynomials and Factoring | |

Introduction to Factoring | p. 274 |

Factoring Trinomials of the Type x[superscript 2] + bx + c | p. 281 |

Factoring Trinomials of the Type ax[superscript 2] + bx + c | p. 289 |

Factoring Perfect-Square Trinomials and Differences of Squares | p. 298 |

Factoring: A General Strategy | p. 305 |

Connecting the Concepts | p. 305 |

Solving Quadratic Equations by Factoring | p. 311 |

Connecting the Concepts | p. 311 |

Solving Applications | p. 319 |

Summary and Review | p. 328 |

Test | p. 330 |

Rational Expressions and Equations | |

Rational Expressions | p. 332 |

Multiplication and Division | p. 339 |

Addition, Subtraction, and Least Common Denominators | p. 346 |

Addition and Subtraction with Unlike Denominators | p. 355 |

Complex Rational Expressions | p. 363 |

Solving Rational Equations | p. 369 |

Connecting the Concepts | p. 369 |

Applications Using Rational Equations and Proportions | p. 375 |

Summary and Review | p. 387 |

Test | p. 390 |

Cumulative Review: Chapters 1-6 | p. 391 |

Systems and More Graphing | |

Systems of Equations and Graphing | p. 394 |

Systems of Equations and Substitution | p. 400 |

Systems of Equations and Elimination | p. 407 |

More Applications Using Systems | p. 415 |

Connecting the Concepts | p. 415 |

Linear Inequalities in Two Variables | p. 425 |

Systems of Linear Inequalities | p. 431 |

Direct and Inverse Variation | p. 434 |

Summary and Review | p. 440 |

Test | p. 443 |

Radical Expressions and Equations | |

Introduction to Square Roots and Radical Expressions | p. 446 |

Multiplying and Simplifying Radical Expressions | p. 453 |

Quotients Involving Square Roots | p. 458 |

More Operations with Radicals | p. 463 |

Radical Equations | p. 467 |

Connecting the Concepts | p. 467 |

Applications Using Right Triangles | p. 475 |

Higher Roots and Rational Exponents | p. 482 |

Summary and Review | p. 487 |

Test | p. 489 |

Quadratic Equations | |

Solving Quadratic Equations: The Principle of Square Roots | p. 492 |

Solving Quadratic Equations: Completing the Square | p. 497 |

The Quadratic Formula and Applications | p. 503 |

Connecting the Concepts | p. 506 |

Formulas and Equations | p. 512 |

Connecting the Concepts | p. 513 |

Complex Numbers as Solutions of Quadratic Equations | p. 519 |

Graphs of Quadratic Equations | p. 522 |

Functions | p. 528 |

Summary and Review | p. 538 |

Test | p. 540 |

Cumulative Review: Chapters 1-9 | p. 541 |

Sets | p. 545 |

Factoring Sums or Differences of Cubes | p. 549 |

Fractional and Decimal Equivalents | p. 553 |

Squares and Square Roots | p. 554 |

Geometric Formulas | p. 555 |

Answers | p. 1 |

Glossary | p. 1 |

Index | p. 1 |

Index of Applications | |

Videotape Index | |

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