Some Basic Concepts of Arithmetic and Algebra | p. 1 |
Numerical and Algebraic Expressions | p. 2 |
Prime and Composite Numbers | p. 9 |
Integers: Addition and Subtraction | p. 15 |
Integers: Multiplication and Division | p. 23 |
Use of Properties | p. 29 |
Chapter 1 Summary | p. 39 |
Chapter 1 Review Problem Set | p. 39 |
Chapter 1 Test | p. 42 |
Real Numbers | p. 43 |
Rational Numbers: Multiplication and Division | p. 44 |
Addition and Subtraction of Rational Numbers | p. 52 |
Real Numbers and Algebraic Expressions | p. 62 |
Exponents | p. 73 |
Translating from English to Algebra | p. 80 |
Chapter 2 Summary | p. 87 |
Chapter 2 Review Problem Set | p. 87 |
Chapter 2 Test | p. 89 |
Cumulative Review Problem Set | p. 90 |
Equations, Inequalities, and Problem Solving | p. 92 |
Solving First-Degree Equations | p. 93 |
Equations and Problem Solving | p. 99 |
More on Solving Equations and Problem Solving | p. 106 |
Equations Involving Parentheses and Fractional Forms | p. 114 |
Inequalities | p. 123 |
Inequalities, Compound Inequalities, and Problem Solving | p. 132 |
Chapter 3 Summary | p. 140 |
Chapter 3 Review Problem Set | p. 140 |
Chapter 3 Test | p. 143 |
Formulas and Problem Solving | p. 144 |
Ratio, Proportion, and Percent | p. 145 |
More on Percents and Problem Solving | p. 154 |
Formulas | p. 161 |
Problem Solving | p. 170 |
More about Problem Solving | p. 176 |
Chapter 4 Summary | p. 183 |
Chapter 4 Review Problem Set | p. 183 |
Chapter 4 Test | p. 185 |
Cumulative Review Problem Set (Chapters 1-4) | p. 186 |
Exponents and Polynomials | p. 188 |
Addition and Subtraction of Polynomials | p. 189 |
Multiplying Monomials | p. 195 |
Multiplying Polynomials | p. 202 |
Dividing by Monomials | p. 210 |
Dividing by Binomials | p. 213 |
Zero and Negative Integers as Exponents | p. 218 |
Chapter 5 Summary | p. 227 |
Chapter 5 Review Problem Set | p. 227 |
Chapter 5 Test | p. 229 |
Cumulative Review Problem Set (Chapters 1-5) | p. 230 |
Factoring, Solving Equations, and Problem Solving | p. 232 |
Factoring by Using the Distributive Property | p. 233 |
Factoring the Difference of Two Squares | p. 240 |
Factoring Trinomials of the Form x[superscript 2] + bx + c | p. 246 |
Factoring Trinomials of the Form ax[superscript 2] + bx + c | p. 255 |
Factoring, Solving Equations, and Problem Solving | p. 261 |
Chapter 6 Summary | p. 271 |
Chapter 6 Review Problem Set | p. 271 |
Chapter 6 Test | p. 273 |
Algebraic Fractions | p. 274 |
Simplifying Algebraic Fractions | p. 275 |
Multiplying and Dividing Algebraic Fractions | p. 279 |
Adding and Subtracting Algebraic Fractions | p. 283 |
More on Addition and Subtraction of Algebraic Fractions | p. 290 |
Fractional Equations and Problem Solving | p. 298 |
More fractional Equations and Problem Solving | p. 305 |
Chapter 7 Summary | p. 316 |
Chapter 7 Review Problem Set | p. 316 |
Chapter 7 Test | p. 318 |
Cumulative Review Problem Set (Chapters 1-7) | p. 319 |
Coordinate Geometry and Linear Systems | p. 321 |
Cartesian Coordinate System | p. 322 |
Graphing Linear Equations and Inequalities | p. 331 |
Slope of a Line | p. 340 |
Writing Equations of Lines | p. 348 |
Solving Linear Systems by Graphing | p. 358 |
Elimination-by-Addition Method | p. 363 |
Substitution Method | p. 371 |
Chapter 8 Summary | p. 381 |
Chapter 8 Review Problem Set | p. 382 |
Chapter 8 Test | p. 384 |
Roots and Radicals | p. 385 |
Roots and Radicals | p. 386 |
Simplifying Radicals | p. 392 |
More on Simplifying Radicals | p. 398 |
Products and Quotients Involving Radicals | p. 404 |
Solving Radical Equations | p. 410 |
Chapter 9 Summary | p. 417 |
Chapter 9 Review Problem Set | p. 417 |
Chapter 9 Test | p. 419 |
Cumulative Review Problem Set (Chapters 1-9) | p. 420 |
Quadratic Equations | p. 423 |
Quadratic Equations | p. 424 |
Completing the Square | p. 433 |
Quadratic Formula | p. 439 |
Solving Quadratic Equations-Which Method? | p. 444 |
Solving Problems Using Quadratic Equations | p. 448 |
Chapter 10 Summary | p. 456 |
Chapter 10 Review Problem Set | p. 456 |
Chapter 10 Test | p. 458 |
Additional Topics | p. 459 |
Equations and Inequalities Involving Absolute Value | p. 460 |
3 X 3 Systems of Equations | p. 464 |
Fractional Exponents | p. 475 |
Complex Numbers | p. 480 |
Quadratic Equations: Complex Solutions | p. 484 |
Pie, Bar, and Line Graphs | p. 488 |
Relations and Functions | p. 497 |
Applications of Functions | p. 502 |
Chapter 11 Summary | p. 507 |
Chapter 11 Review Problem Set | p. 508 |
Chapter 11 Test | p. 511 |
Table of Squares and Approximate Square Roots | p. 513 |
Extra Word Problems | p. 516 |
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative Review, and Appendix B Problems | p. 527 |
Index | p. 1 |
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