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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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