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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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