College Mathematics

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  • Edition: 7th
  • Format: Hardcover
  • Copyright: 2007-01-01
  • Publisher: Pearson College Div
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Continuing the tradition of excellence in applied mathematics, Cleaves and Hobbs 7th edition is designed for students in a broad range of career programs that require a solid understanding of basic math, elementary algebra, trigonometry, and geometry. Topics are introduced and reinforced using a step-by-step "spiral learning" approach supported by numerous examples and applications. Throughout the text, examples are presented in both symbolic and narrative form and all concepts are applied directly to careers and professions. Students who will benefit from this text include: Allied Health, Nursing, Computer Technology, Aviation, the Industrial Trades and Technologies, Electronics, CAD, Drafting, Architecture, Agriculture, Telecommunication, Auto/Diesel, Criminal Justice, Fire Science, Business, Hospitality, and Culinary/Food Safety programs.

Table of Contents

Review of Basic Conceptsp. 1
Basic Operations with Whole Numbers and Decimalsp. 2
Exponents, Roots, and Powers of 10p. 30
Order of Operations and Problem Solvingp. 36
Review of Fractionsp. 60
Multiples and Factorsp. 61
Equivalent Fractions and Decimalsp. 70
Adding and Subtracting Fractions and Mixed Numbersp. 82
Multiplying and Dividing Fractions and Mixed Numbersp. 89
The U.S. Customary System of Measurementp. 101
Percentsp. 132
Percent and Number Equivalentsp. 133
Percentage Problemsp. 139
Increase and Decreasep. 154
Chapters 1-3 Cumulative Practice Testp. 169
Measurementp. 170
Introduction to the Metric Systemp. 171
Time, Temperature, and Other Measuresp. 183
Metric-U.S. Customary Comparisonsp. 188
Accuracy, Precision, Error, and Measuring Instrumentsp. 191
Signed Numbers and Powers of 10p. 208
Adding Signed Numbersp. 209
Subtracting Signed Numbersp. 215
Multiplying and Dividing Signed Numbersp. 219
Signed Fractions and Decimalsp. 225
Powers of 10p. 233
Scientific Notationp. 237
Statisticsp. 257
Reading Circle, Bar, and Line Graphsp. 258
Averages and Frequency Distributionsp. 264
Range and Standard Deviationp. 274
Counting Techniques and Simple Probabilitiesp. 281
Chapters 4-6 Cumulative Practice Testp. 297
Linear Equationsp. 299
Variable Notationp. 300
Solving Linear Equationsp. 307
Applying the Distributive Property in Solving Equationsp. 315
Solving Linear Equations with Fractions and Decimals by Clearing the Denominatorsp. 319
Formulasp. 333
Ratio and Proportionp. 353
Ratio and Proportionp. 354
Direct and Joint Variationp. 357
Inverse and Combined Variationp. 366
Graphing Linear Equations and Functionsp. 381
Graphical Representation of Linear Equations and Functionsp. 382
Graphing Linear Equations with Two Variables Using Alternative Methodsp. 393
Slopep. 403
Linear Equation of a Linep. 408
Systems of Linear Equationsp. 431
Solving Systems of Linear Equations Graphicallyp. 432
Solving Systems of Linear Equations Using the Addition Methodp. 434
Solving Systems of Linear Equations Using the Substitution Methodp. 439
Problem Solving Using Systems of Linear Equationsp. 441
Chapters 7-10 Cumulative Practice Testp. 452
Powers and Polynomialsp. 453
Laws of Exponentsp. 454
Polynomialsp. 461
Basic Operations with Polynomialsp. 465
Roots and Radicalsp. 484
Irrational Numbers and Real Numbersp. 485
Simplifying Irrational Expressionsp. 491
Basic Operations with Square-Root Radicalsp. 497
Complex and Imaginary Numbersp. 505
Factoringp. 518
The Distributive Property and Common Factorsp. 519
Factoring Special Productsp. 522
Factoring General Trinomialsp. 527
Rational Expressions and Equationsp. 542
Simplifying Rational Expressionsp. 543
Multiplying and Dividing Rational Expressionsp. 547
Adding and Subtracting Rational Expressionsp. 553
Solving Equations with Rational Expressionsp. 558
Quadratic and Higher-Degree Equationsp. 571
Solving Quadratic Equations by the Square-Root Methodp. 572
Solving Quadratic Equations by Factoringp. 576
Solving Quadratic Equations by Completing the Square or Using the Formulap. 580
Graphing Quadratic Functionsp. 588
Solving Higher-Degree Equations by Factoringp. 597
Chapters 11-15 Cumulative Practice Testp. 616
Exponential and Logarithmic Equationsp. 619
Exponential Expressions, Equations, and Formulasp. 620
Logarithmic Expressions, Equations, and Formulasp. 636
Inequalities and Absolute Valuesp. 654
Inequalities and Setsp. 655
Solving Linear Inequalitiesp. 659
Solving Compound Inequalitiesp. 667
Solving Quadratic and Rational Inequalities in One Variablep. 673
Solving Equations and Inequalities Containing One Absolute-Value Termp. 679
Geometryp. 694
Lines and Anglesp. 695
Polygonsp. 704
Circles and Radiansp. 716
Volume and Surface Areap. 731
Trianglesp. 756
Special Triangle Relationshipsp. 757
Pythagorean Theoremp. 765
Inscribed and Circumscribed Regular Polygons and Circlesp. 774
Distance and Midpointsp. 784
Chapters 16-19 Cumulative Practice Testp. 800
Right-Triangle Trigonometryp. 803
Trigonometric Functionsp. 804
Solving Right Triangles Using the Sine, Cosine, and Tangent Functionsp. 809
Trigonometry with Any Anglep. 834
Vectorsp. 835
Trigonometric Functions for Any Anglep. 845
Period and Phase Shiftp. 850
Law of Sinesp. 856
Law of Cosinesp. 864
Chapters 20-21 Cumulative Practice Testp. 883
Selected Answers to Student Exercise Materialp. 885
Glossary and Indexp. 969
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