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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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