An Introduction to Algebra | p. 1 |
Describing Numerical Relationships | p. 2 |
The Real Numbers | p. 12 |
Exponents and Order of Operations | p. 25 |
Algebraic Expressions | p. 36 |
Solving Equations | p. 48 |
Problem Solving | p. 61 |
Key Concept: Variables | p. 71 |
Accent on Teamwork | p. 72 |
Chapter Review | p. 73 |
Chapter Test | p. 79 |
Real Numbers, Equations, and Inequalities | p. 81 |
Adding and Subtracting Real Numbers | p. 82 |
Multiplying and Dividing Real Numbers | p. 93 |
Order of Operations and Evaluating Algebraic Expressions | p. 105 |
Simplifying Algebraic Expressions | p. 115 |
Solving Equations | p. 125 |
Formulas | p. 137 |
Problem Solving | p. 150 |
Inequalities | p. 162 |
Key Concept: Simplify and Solve | p. 175 |
Accent on Teamwork | p. 176 |
Chapter Review | p. 177 |
Chapter Test | p. 183 |
Cumulative Review Exercises | p. 184 |
Graphs, Linear Equations, and Functions | p. 187 |
Graphing Using the Rectangular Coordinate System | p. 188 |
Equations Containing Two Variables | p. 197 |
Graphing Linear Equations | p. 210 |
Rate of Change and the Slope of a Line | p. 224 |
Describing Linear Relationships | p. 236 |
Writing Linear Equations | p. 249 |
Functions | p. 257 |
Key Concept: Describing Linear Relationships | p. 267 |
Accent on Teamwork | p. 268 |
Chapter Review | p. 269 |
Chapter Test | p. 274 |
Exponents and Polynomials | p. 276 |
Natural-Number Exponents | p. 277 |
Zero and Negative Integer Exponents | p. 285 |
Scientific Notation | p. 293 |
Polynomials and Polynomial Functions | p. 300 |
Adding and Subtracting Polynomials | p. 311 |
Multiplying Polynomials | p. 318 |
Dividing Polynomials by Monomials | p. 328 |
Dividing Polynomials by Polynomials | p. 335 |
Key Concept: Polynomials | p. 342 |
Accent on Teamwork | p. 343 |
Chapter Review | p. 344 |
Chapter Test | p. 348 |
Cumulative Review Exercises | p. 349 |
Factoring and Quadratic Equations | p. 352 |
Factoring Out the Greatest Common Factor and Factoring by Grouping | p. 353 |
Factoring the Difference of Two Squares | p. 363 |
Factoring Trinomials | p. 368 |
Quadratic Equations | p. 379 |
The Quadratic Formula | p. 388 |
Graphing Quadratic Functions | p. 401 |
Key Concept: Quadratic Equations | p. 414 |
Accent on Teamwork | p. 415 |
Chapter Review | p. 416 |
Chapter Test | p. 420 |
Proportion and Rational Expressions | p. 422 |
Ratios | p. 423 |
Proportions and Similar Triangles | p. 431 |
Rational Expressions and Rational Functions | p. 441 |
Multiplying and Dividing Rational Expressions | p. 451 |
Adding and Subtracting Rational Expressions | p. 459 |
Complex Fractions | p. 469 |
Solving Equations That Contain Rational Expressions | p. 475 |
Applications of Equations That Contain Rational Expressions | p. 482 |
Key Concept: The Language of Algebra | p. 488 |
Accent on Teamwork | p. 489 |
Chapter Review | p. 490 |
Chapter Test | p. 494 |
Cumulative Review Exercises | p. 495 |
Solving Systems of Equations and Inequalities | p. 498 |
Solving Systems of Equations by Graphing | p. 499 |
Solving Systems of Equations by Substitution | p. 510 |
Solving Systems of Equations by Addition | p. 517 |
Applications of Systems of Equations | p. 524 |
Graphing Linear Inequalities | p. 535 |
Solving Systems of Linear Inequalities | p. 544 |
Key Concept: Systems of Equations and Inequalities | p. 554 |
Accent on Teamwork | p. 555 |
Chapter Review | p. 556 |
Chapter Test | p. 560 |
More Equations, Inequalities, and Factoring | p. 562 |
Review of Equations and Inequalities | p. 563 |
Solving Absolute Value Equations and Inequalities | p. 576 |
Review of Factoring | p. 585 |
Factoring the Sum and Difference of Two Cubes | p. 597 |
Review of Rational Expressions | p. 602 |
Review of Linear Functions | p. 614 |
Variation | p. 630 |
Key Concept: Factoring | p. 639 |
Accent on Teamwork | p. 640 |
Chapter Review | p. 641 |
Chapter Test | p. 645 |
Cumulative Review Exercises | p. 646 |
Radicals and Rational Exponents | p. 649 |
Radical Expressions and Radical Functions | p. 650 |
Radical Equations | p. 662 |
Rational Exponents | p. 671 |
Simplifying and Combining Radical Expressions | p. 681 |
Multiplying and Dividing Radical Expressions | p. 691 |
Geometric Applications of Radicals | p. 701 |
Key Concept: Radicals | p. 711 |
Accent on Teamwork | p. 712 |
Chapter Review | p. 713 |
Chapter Test | p. 718 |
Quadratic Equations, Functions, and Inequalities | p. 720 |
Completing the Square | p. 721 |
The Quadratic Formula | p. 731 |
Quadratic Functions and Their Graphs | p. 739 |
Complex Numbers | p. 753 |
The Discriminant and Equations That Can Be Written in Quadratic Form | p. 763 |
Quadratic and Other Nonlinear Inequalities | p. 769 |
Key Concept: Solving Quadratic Equations | p. 778 |
Accent on Teamwork | p. 779 |
Chapter Review | p. 780 |
Chapter Test | p. 784 |
Cumulative Review Exercises | p. 785 |
Exponential and Logarithmic Functions | p. 788 |
Algebra and Composition of Functions | p. 789 |
Inverses of Functions | p. 796 |
Exponential Functions | p. 806 |
Base-e Exponential Functions | p. 819 |
Logarithmic Functions | p. 828 |
Base-e Logarithms | p. 837 |
Properties of Logarithms | p. 843 |
Exponential and Logarithmic Equations | p. 853 |
Key Concept: Inverse Functions | p. 863 |
Accent on Teamwork | p. 864 |
Chapter Review | p. 865 |
Chapter Test | p. 870 |
More on Systems of Equations | p. 873 |
Solving Systems with Two Variables | p. 874 |
Solving Systems with Three Variables | p. 888 |
Solving Systems Using Matrices | p. 899 |
Solving Systems Using Determinants | p. 909 |
Key Concept: Systems of Equations | p. 920 |
Accent on Teamwork | p. 921 |
Chapter Review | p. 922 |
Chapter Test | p. 926 |
Cumulative Review Exercises | p. 927 |
Conic Sections; More Graphing | p. 930 |
The Circle and the Parabola | p. 931 |
The Ellipse | p. 943 |
The Hyperbola | p. 951 |
Solving Simultaneous Second-Degree Equations | p. 960 |
Key Concept: Conic Sections | p. 966 |
Accent on Teamwork | p. 967 |
Chapter Review | p. 968 |
Chapter Test | p. 970 |
Miscellaneous Topics | p. 971 |
The Binomial Theorem | p. 972 |
Arithmetic Sequences | p. 979 |
Geometric Sequences | p. 986 |
Permutations and Combinations | p. 995 |
Probability | p. 1004 |
Key Concept: The Language of Algebra | p. 1009 |
Accent on Teamwork | p. 1010 |
Chapter Review | p. 1011 |
Chapter Test | p. 1014 |
Cumulative Review Exercises | p. 1015 |
Arithmetic Fractions | p. 1 |
Synthetic Division | p. 14 |
Tables | p. 21 |
Powers and Roots | p. 21 |
Base-10 Logarithms | p. 22 |
Base-e Logarithms | p. 23 |
Answers to Selected Exercises | p. 24 |
Index | p. 1 |
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