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Allen R. Angel received his AAS in Electrical Technology from New York City Community College. He then received his BS in Physics and his MS in Mathematics from SUNY at New Paltz, and he took additional graduate work at Rutgers University. He is Professor Emeritus at Monroe Community College in Rochester, New York where he served for many years as the chair of the Mathematics Department. He also served as the Assistant Director of the National Science Foundation Summer Institutes at Rutgers University from 1967—73. He served as the President of the New York State Mathematics Association of Two Year Colleges (NYSMATYC) and the Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). He is the recipient of many awards including a number of NISOD Excellence in Teaching Awards, NYSMATYC's Outstanding Contributions to Mathematics Education Award, and AMATYC's President Award. Allen enjoy tennis, worldwide travel, and visiting with his children and granddaughter.
Preface | p. xi |
To the Student | p. xvii |
Real Numbers | p. 1 |
Study Skills for Success in Mathematics | p. 2 |
Problem Solving | p. 7 |
Fractions | p. 20 |
The Real Number System | p. 30 |
Inequalities | p. 35 |
Mid-Chapter Test: Sections 1.1-1.5 | p. 40 |
Addition of Real Numbers | p. 41 |
Subtraction of Real Numbers | p. 50 |
Multiplication and Division of Real Numbers | p. 60 |
Exponents, Parentheses, and the Order of Operations | p. 68 |
Properties of the Real Number System | p. 80 |
Summary | p. 86 |
Review Exercises | p. 91 |
Practice Test | p. 94 |
Solving Linear Equations and Inequalities | p. 95 |
Combining Like Terms | p. 96 |
The Addition Property of Equality | p. 105 |
The Multiplication Property of Equality | p. 112 |
Solving Linear Equations with a Variable on Only One Side of the Equation | p. 119 |
Mid-Chapter Test: Sections 2.1-2.4 | p. 129 |
Solving Linear Equations with the Variable on Both Sides of the Equation | p. 129 |
Formulas | p. 140 |
Ratios and Proportions | p. 152 |
Inequalities in One Variable | p. 164 |
Summary | p. 171 |
Review Exercises | p. 175 |
Practice Test | p. 178 |
Cumulative Review Test | p. 178 |
Applications of Algebra | p. 179 |
Changing Application Problems into Equations | p. 180 |
Solving Application Problems | p. 195 |
Mid-Chapter Test: Sections 3.1-3.2 | p. 206 |
Geometric Problems | p. 207 |
Motion, Money, and Mixture Problems | p. 212 |
Summary | p. 225 |
Review Exercises | p. 227 |
Practice Test | p. 229 |
Cumulative Review Test | p. 231 |
Graphing Linear Equations | p. 232 |
The Cartesian Coordinate System and Linear Equations in Two Variables | p. 233 |
Graphing Linear Equations | p. 241 |
Slope of a Line | p. 251 |
Mid-Chapter Test: Sections 4.1-4.2 | p. 263 |
Slope-Intercept and Point-Slope Forms of a Linear Equation | p. 263 |
Graphing Linear Inequalities | p. 276 |
Functions | p. 279 |
Summary | p. 289 |
Review Exercises | p. 292 |
Practice Test | p. 296 |
Cumulative Review Test | p. 296 |
Systems of Linear Equations | p. 298 |
Solving Systems of Equations Graphically | p. 299 |
Solving Systems of Equations by Substitution | p. 308 |
Solving Systems of Equations by the Addition Method | p. 315 |
Mid-Chapter Test: Sections 5.1-5.3 | p. 323 |
Systems of Equations: Applications and Problem Solving | p. 324 |
Solving Systems of Linear Inequalities | p. 334 |
Summary | p. 337 |
Review Exercises | p. 339 |
Practice Test | p. 341 |
Cumulative Review Test | p. 342 |
Exponents and Polynomials | p. 345 |
Exponents | p. 344 |
Negative Exponents | p. 353 |
Scientific Notation | p. 362 |
Mid-Chapter Test: Sections 6.1-6.2 | p. 372 |
Addition and Subtraction of Polynomials | p. 372 |
Multiplication of Polynomials | p. 379 |
Division of Polynomials | p. 389 |
Summary | p. 396 |
Review Exercises | p. 398 |
Practice Test | p. 400 |
Cumulative Review Test | p. 401 |
Factoring | p. 402 |
Factoring a Monomial from a Polynomial | p. 403 |
Factoring by Grouping | p. 410 |
Factoring Trinomials of the Form ax[superscript 2] + bx + c, a = 1 | p. 415 |
Factoring Trinomials of the Form ax[superscript 2] + bx + c, a [nonequal] 1 | p. 424 |
Mid-Chapter Test: Sections 7.1-7.4 | p. 438 |
Special Factoring Formulas and a General Review of Factoring | p. 436 |
Solving Quadratic Equations Using Factoring | p. 444 |
Applications of Quadratic Equations | p. 451 |
Summary | p. 458 |
Review Exercises | p. 461 |
Practice Test | p. 463 |
Cumulative Review Test | p. 464 |
Rational Expressions and Equations | p. 465 |
Simplifying Rational Expressions | p. 466 |
Multiplication and Division of Rational Expressions | p. 474 |
Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator | p. 482 |
Addition and Subtraction of Rational Expressions | p. 489 |
Mid-Chapter Test: Sections 8.1-8.4 | p. 496 |
Complex Fractions | p. 497 |
Solving Rational Equations | p. 502 |
Rational Equations: Applications and Problem Solving | p. 510 |
Variation | p. 522 |
Summary | p. 529 |
Review Exercises | p. 532 |
Practice Test | p. 534 |
Cumulative Review Test | p. 535 |
Roots and Radicals | p. 536 |
Evaluating Square Roots | p. 537 |
Simplifying Square Roots | p. 544 |
Adding, Subtracting, and Multiplying Square Roots | p. 550 |
Dividing Square Roots | p. 556 |
Mid-Chapter Test: Sections 9.1-9.4 | p. 564 |
Solving Radical Equations | p. 565 |
Radicals: Applications and Problem Solving | p. 571 |
Higher Roots and Rational Exponents | p. 578 |
Summary | p. 585 |
Review Exercises | p. 588 |
Practice Test | p. 590 |
Cumulative Review Test | p. 591 |
Quadratic Equations | p. 592 |
The Square Root Property | p. 593 |
Solving Quadratic Equations by Completing the Square | p. 598 |
Solving Quadratic Equations by the Quadratic | |
Formula 604 Mid-Chapter Test Sections 10.1-10.3 | p. 614 |
Graphing Quadratic Equations | p. 615 |
Complex Numbers | p. 625 |
Summary | p. 628 |
Review Exercises | p. 630 |
Practice Test | p. 632 |
Cumulative Review Test | p. 633 |
Appendices | p. 634 |
Review of Decimals and Percent | p. 634 |
Finding the Greatest Common Factor and Least Common Denominator | p. 637 |
Geometry | p. 640 |
Answers | p. A1 |
Applications Index | p. I1 |
Subject Index | p. I4 |
Photo Credits | P1 |
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