Index of Applications | p. vii |

Index of Focus on Real-Data Applications | p. xi |

Preface | p. xiii |

Feature Walk-Through | p. xix |

An Introduction to Calculators | p. xxiii |

To the Student: Success in Algebra | p. xxix |

Diagnostic Pretest | p. xxxi |

Prealgebra Review | p. I |

Fractions | p. 1 |

Decimals and Percents | p. 13 |

The Real Number System | p. 23 |

Exponents, Order of Operations, and Inequality | p. 24 |

Variables, Expressions, and Equations | p. 31 |

Real Numbers and the Number Line | p. 39 |

Adding Real Numbers | p. 47 |

Subtracting Real Numbers | p. 55 |

Multiplying and Dividing Real Numbers | p. 65 |

Summary Exercises on Operations with Real Numbers | p. 77 |

Properties of Real Numbers | p. 79 |

Simplifying Expressions | p. 89 |

Summary | p. 95 |

Review Exercises | p. 99 |

Test | p. 105 |

Linear Equations, Inequalities, and Applications | p. 107 |

The Addition Property of Equality | p. 108 |

The Multiplication Property of Equality | p. 115 |

More on Solving Linear Equations | p. 121 |

Summary Exercises on Solving Linear Equations | p. 131 |

An Introduction to Applications of Linear Equations | p. 133 |

Formulas and Applications from Geometry | p. 147 |

Ratio, Proportion, and Percent | p. 157 |

Summary Exercises on Solving Applied Problems | p. 167 |

Solving Linear Inequalities | p. 171 |

Summary | p. 187 |

Review Exercises | p. 191 |

Test | p. 195 |

Cumulative Review Exercises | p. 197 |

Graphs of Linear Equations and Inequalities; Functions | p. 199 |

Reading Graphs; Linear Equations in Two Variables | p. 200 |

Graphing Linear Equations in Two Variables | p. 215 |

Slope of a Line | p. 229 |

Equations of Lines | p. 243 |

Summary Exercises on Graphing Linear Equations | p. 257 |

Graphing Linear Inequalities in Two Variables | p. 259 |

Introduction to Functions | p. 265 |

Summary | p. 281 |

Review Exercises | p. 287 |

Test | p. 293 |

Cumulative Review Exercises | p. 297 |

Systems of Linear Equations and Inequalities | p. 299 |

Solving Systems of Linear Equations by Graphing | p. 300 |

Solving Systems of Linear Equations by Substitution | p. 309 |

Solving Systems of Linear Equations by Elimination | p. 317 |

Summary Exercises on Solving Systems of Linear Equations | p. 325 |

Applications of Linear Systems | p. 327 |

Solving Systems of Linear Inequalities | p. 339 |

Summary | p. 345 |

Review Exercises | p. 349 |

Test | p. 353 |

Cumulative Review Exercises | p. 355 |

Exponents and Polynomials | p. 357 |

Adding and Subtracting Polynomials | p. 358 |

The Product Rule and Power Rules for Exponents | p. 367 |

Multiplying Polynomials | p. 375 |

Special Products | p. 383 |

Integer Exponents and the Quotient Rule | p. 389 |

Summary Exercises on the Rules for Exponents | p. 399 |

Dividing a Polynomial by a Monomial | p. 401 |

Dividing a Polynomial by a Polynomial | p. 405 |

An Application of Exponents: Scientific Notation | p. 411 |

Summary | p. 417 |

Review Exercises | p. 421 |

Test | p. 425 |

Cumulative Review Exercises | p. 427 |

Factoring and Applications | p. 429 |

Factors; The Greatest Common Factor | p. 430 |

Factoring Trinomials | p. 439 |

Factoring Trinomials by Grouping | p. 445 |

Factoring Trinomials Using FOIL | p. 449 |

Special Factoring Techniques | p. 455 |

Summary Exercises on Factoring | p. 465 |

Solving Quadratic Equations by Factoring | p. 467 |

Applications of Quadratic Equations | p. 475 |

Summary | p. 487 |

Review Exercises | p. 491 |

Test | p. 497 |

Cumulative Review Exercises | p. 499 |

Rational Expressions and Functions | p. 501 |

Rational Expressions and Functions; Multiplying and Dividing | p. 502 |

Adding and Subtracting Rational Expressions | p. 513 |

Complex Fractions | p. 523 |

Equations with Rational Expressions and Graphs | p. 529 |

Summary Exercises on Rational Expressions and Equations | p. 537 |

Applications of Rational Expressions | p. 539 |

Variation | p. 553 |

Summary | p. 563 |

Review Exercises | p. 569 |

Test | p. 573 |

Cumulative Review Exercises | p. 575 |

Equations, Inequalities, and Systems Revisited | p. 579 |

Review of Solving Linear Equations and Inequalities | p. 580 |

Set Operations and Compound Inequalities | p. 593 |

Absolute Value Equations and Inequalities | p. 605 |

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities | p. 617 |

Review of Systems of Linear Equations in Two Variables | p. 619 |

Systems of Linear Equations in Three Variables; Applications | p. 631 |

Solving Systems of Linear Equations by Matrix Methods | p. 643 |

Summary | p. 651 |

Review Exercises | p. 657 |

Test | p. 663 |

Cumulative Review Exercises | p. 665 |

Roots, Radicals, and Root Functions | p. 667 |

Radical Expressions and Graphs | p. 668 |

Rational Exponents | p. 681 |

Simplifying Radical Expressions | p. 691 |

Adding and Subtracting Radical Expressions | p. 703 |

Multiplying and Dividing Radical Expressions | p. 707 |

Summary Exercises on Operations with Radicals and Rational Exponents | p. 717 |

Solving Equations with Radicals | p. 719 |

Complex Numbers | p. 727 |

Summary | p. 737 |

Review Exercises | p. 741 |

Test | p. 745 |

Cumulative Review Exercises | p. 747 |

Quadratic Equations, Inequalities, and Functions | p. 749 |

Solving Quadratic Equations by the Square Root Property | p. 750 |

Solving Quadratic Equations by Completing the Square | p. 757 |

Solving Quadratic Equations by the Quadratic Formula | p. 765 |

Equations Quadratic in Form | p. 773 |

Summary Exercises on Solving Quadratic Equations | p. 785 |

Formulas and Further Applications | p. 787 |

Graphs of Quadratic Functions | p. 795 |

More About Parabolas; Applications | p. 807 |

Quadratic and Rational Inequalities | p. 819 |

Summary | p. 829 |

Review Exercises | p. 833 |

Test | p. 839 |

Cumulative Review Exercises | p. 843 |

Exponential and Logarithmic Functions | p. 847 |

Inverse Functions | p. 848 |

Exponential Functions | p. 857 |

Logarithmic Functions | p. 865 |

Properties of Logarithms | p. 875 |

Common and Natural Logarithms | p. 883 |

Exponential and Logarithmic Equations; Further Applications | p. 891 |

Summary | p. 903 |

Review Exercises | p. 907 |

Test | p. 911 |

Cumulative Review Exercises | p. 913 |

Nonlinear Functions, Conic Sections, and Nonlinear Systems | p. 917 |

Additional Graphs of Functions; Operations and Composition | p. 918 |

The Circle and the Ellipse | p. 931 |

The Hyperbola and Other Functions Defined by Radicals | p. 941 |

Nonlinear Systems of Equations | p. 951 |

Second-Degree Inequalities and Systems of Inequalities | p. 961 |

Summary | p. 969 |

Review Exercises | p. 973 |

Test | p. 977 |

Cumulative Review Exercises | p. 981 |

Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra) | p. 985 |

Strategies for Problem Solving | p. 993 |

Sets | p. 1007 |

Mean, Median, and Mode | p. 1013 |

Determinants and Cramer's Rule | p. 1021 |

Synthetic Division | p. 1031 |

Answers to Selected Exercises | p. A-1 |

Index | p. I-1 |

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