Preface | p. xi |

To the Student | p. xxiii |

Real Numbers | p. 1 |

Study Skills for Success in Mathematics | p. 2 |

Problem Solving | p. 9 |

Fractions | p. 21 |

The Real Number System | p. 33 |

Inequalities | p. 38 |

Addition of Real Numbers | p. 43 |

Subtraction of Real Numbers | p. 51 |

Multiplication and Division of Real Numbers | p. 59 |

Exponents, Parentheses, and the Order of Operations | p. 67 |

Properties of the Real Number System | p. 80 |

Summary | p. 85 |

Review Exercises | p. 87 |

Practice Test | p. 89 |

Solving Linear Equations | p. 91 |

Combining Like Terms | p. 92 |

The Addition Property of Equality | p. 101 |

The Multiplication Property of Equality | p. 111 |

Solving Linear Equations with a Variable on Only One Side of the Equation | p. 120 |

Solving Linear Equations with the Variable on Both Sides of the Equation | p. 127 |

Ratios and Proportions | p. 135 |

Summary | p. 149 |

Review Exercises | p. 150 |

Practice Test | p. 151 |

Cumulative Review Test | p. 152 |

Formulas and Applications of Algebra | p. 153 |

Formulas | p. 154 |

Changing Application Problems into Equations | p. 167 |

Solving Application Problems | p. 179 |

Geometric Problems | p. 195 |

Motion and Mixture Problems | p. 200 |

Summary | p. 214 |

Review Exercises | p. 215 |

Practice Test | p. 217 |

Cumulative Review Test | p. 218 |

Graphing Linear Equations | p. 221 |

The Cartesian Coordinate System and Linear Equations in Two Variables | p. 222 |

Graphing Linear Equations | p. 232 |

Slope of a Line | p. 244 |

Slope-Intercept and Point-Slope Forms of a Linear Equation | p. 251 |

Summary | p. 265 |

Review Exercises | p. 266 |

Practice Test | p. 268 |

Cumulative Review Test | p. 269 |

Exponents and Polynomials | p. 271 |

Exponents | p. 272 |

Negative Exponents | p. 281 |

Scientific Notation | p. 288 |

Addition and Subtraction of Polynomials | p. 296 |

Multiplication of Polynomials | p. 303 |

Division of Polynomials | p. 314 |

Summary | p. 324 |

Review Exercises | p. 325 |

Practice Test | p. 327 |

Cumulative Review Test | p. 328 |

Factoring | p. 329 |

Factoring a Monomial from a Polynomial | p. 330 |

Factoring by Grouping | p. 338 |

Factoring Trinomials of the from ax[superscript 2] + bx + c, a = 1 | p. 343 |

Factoring Trinomials of the form ax[superscript 2] + bx + c, a [not equal] 1 | p. 352 |

Special Factoring Formulas and a General Review of Factoring | p. 365 |

Solving Quadratic Equations Using Factoring | p. 372 |

Summary | p. 382 |

Review Exercises | p. 383 |

Practice Test | p. 385 |

Cumulative Review Test | p. 385 |

Rational Expressions and Equations | p. 387 |

Simplifying Rational Expressions | p. 388 |

Multiplication and Division of Rational Expressions | p. 395 |

Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator | p. 402 |

Addition and Subtraction of Rational Expressions | p. 410 |

Complex Fractions | p. 419 |

Solving Rational Equations | p. 424 |

Rational Equations: Applications and Problem Solving | p. 433 |

Variation | p. 444 |

Summary | p. 453 |

Review Exercises | p. 453 |

Practice Test | p. 456 |

Cumulative Review Test | p. 457 |

Functions and Their Graphs | p. 459 |

More on Graphs | p. 460 |

Functions | p. 468 |

Linear Functions | p. 468 |

Slope, Modeling, and Linear Relationships | p. 497 |

The Algebra of Functions | p. 514 |

Summary | p. 523 |

Review Exercises | p. 524 |

Practice Test | p. 526 |

Cumulative Review Test | p. 528 |

Systems of Linear Equations | p. 529 |

Solving Systems of Equations Graphically | p. 530 |

Solving Systems of Equations by Substitution | p. 540 |

Solving Systems of Equations by the Addition Method | p. 546 |

Solving Systems of Linear Equations in Three Variables | p. 554 |

Systems of Linear Equations: Applications and Problem Solving | p. 561 |

Solving Systems of Equations Using Matrices | p. 574 |

Solving Systems of Equations Using Determinants and Cramer's Rule | p. 582 |

Summary | p. 590 |

Review Exercises | p. 592 |

Practice Test | p. 594 |

Cumulative Review Test | p. 595 |

Inequalities in One and Two Variables | p. 597 |

Solving Linear Inequalities in One Variable | p. 598 |

Solving Equations and Inequalities Containing Absolute Value | p. 613 |

Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities | p. 623 |

Summary | p. 631 |

Review Exercises | p. 631 |

Practice Test | p. 633 |

Cumulative Review Test | p. 634 |

Roots, Radicals, and Complex Numbers | p. 637 |

Roots and Radicals | p. 638 |

Rational Exponents | p. 646 |

Multiplying and Simplifying Radicals | p. 654 |

Dividing and Simplifying Radicals | p. 662 |

Adding and Subtracting Radicals | p. 672 |

Solving Radical Equations | p. 678 |

Complex Numbers | p. 690 |

Summary | p. 698 |

Review Exercises | p. 699 |

Practice Test | p. 702 |

Cumulative Review Test | p. 703 |

Quadratic Functions | p. 705 |

Solving Quadratic Equations by Completing the Square | p. 706 |

Solving Quadratic Equations by the Quadratic Formula | p. 716 |

Quadratic Equations: Applications and Problem Solving | p. 730 |

Factoring Expressions and Solving Equations that are Quadratic in Form | p. 737 |

Graphing Quadratic Functions | p. 745 |

Quadratic and Other Inequalities in One Variable | p. 766 |

Summary | p. 775 |

Review Exercises | p. 776 |

Practice Test | p. 778 |

Cumulative Review Test | p. 779 |

Exponential and Logarithmic Functions | p. 781 |

Composite and Inverse Functions | p. 782 |

Exponential Functions | p. 794 |

Logarithmic Functions | p. 801 |

Properties of Logarithms | p. 807 |

Common Logarithms | p. 813 |

Exponential and Logarithmic Equations | p. 819 |

Natural Exponential and Natural Logarithmic Functions | p. 826 |

Summary | p. 838 |

Review Exercises | p. 839 |

Practice Test | p. 841 |

Cumulative Review Test | p. 842 |

Conic Sections | p. 843 |

The Parabola and the Circle | p. 844 |

The Ellipse | p. 856 |

The Hyperbola | p. 861 |

Nonlinear Systems of Equations and Their Applications | p. 867 |

Summary | p. 875 |

Review Exercises | p. 876 |

Practice Test | p. 878 |

Cumulative Review Test | p. 879 |

Sequences, Series, and the Binomial Theorem | p. 881 |

Sequences and Series | p. 882 |

Arithmetic Sequences and Series | p. 890 |

Geometric Sequences and Series | p. 896 |

The Binomial Theorem | p. 907 |

Summary | p. 913 |

Review Exercises | p. 914 |

Practice Test | p. 916 |

Cumulative Review Test | p. 917 |

Appendices | p. 919 |

Review of Decimals and Percents | p. 919 |

Finding the Greatest Common Factor and Least Common Denominator | p. 922 |

Geometry Concepts and Formulas | p. 924 |

Review of Exponents, Polynomials, and Factoring | p. 931 |

Answers | |

Index | |

Photo Credits | |

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