College Mathematics

by Cleaves, Cheryl; Hobbs, Margie

• ISBN13: 9780131735989
• ISBN10: 0131735985
• Edition: 7th
• Format: Hardcover
• Copyright: 2007-01-01
• Publisher: Pearson College Div

Summary

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 Concepts	p. 1
Basic Operations with Whole Numbers and Decimals	p. 2
Exponents, Roots, and Powers of 10	p. 30
Order of Operations and Problem Solving	p. 36
Review of Fractions	p. 60
Multiples and Factors	p. 61
Equivalent Fractions and Decimals	p. 70
Adding and Subtracting Fractions and Mixed Numbers	p. 82
Multiplying and Dividing Fractions and Mixed Numbers	p. 89
The U.S. Customary System of Measurement	p. 101
Percents	p. 132
Percent and Number Equivalents	p. 133
Percentage Problems	p. 139
Increase and Decrease	p. 154
Chapters 1-3 Cumulative Practice Test	p. 169
Measurement	p. 170
Introduction to the Metric System	p. 171
Time, Temperature, and Other Measures	p. 183
Metric-U.S. Customary Comparisons	p. 188
Accuracy, Precision, Error, and Measuring Instruments	p. 191
Signed Numbers and Powers of 10	p. 208
Adding Signed Numbers	p. 209
Subtracting Signed Numbers	p. 215
Multiplying and Dividing Signed Numbers	p. 219
Signed Fractions and Decimals	p. 225
Powers of 10	p. 233
Scientific Notation	p. 237
Statistics	p. 257
Reading Circle, Bar, and Line Graphs	p. 258
Averages and Frequency Distributions	p. 264
Range and Standard Deviation	p. 274
Counting Techniques and Simple Probabilities	p. 281
Chapters 4-6 Cumulative Practice Test	p. 297
Linear Equations	p. 299
Variable Notation	p. 300
Solving Linear Equations	p. 307
Applying the Distributive Property in Solving Equations	p. 315
Solving Linear Equations with Fractions and Decimals by Clearing the Denominators	p. 319
Formulas	p. 333
Ratio and Proportion	p. 353
Ratio and Proportion	p. 354
Direct and Joint Variation	p. 357
Inverse and Combined Variation	p. 366
Graphing Linear Equations and Functions	p. 381
Graphical Representation of Linear Equations and Functions	p. 382
Graphing Linear Equations with Two Variables Using Alternative Methods	p. 393
Slope	p. 403
Linear Equation of a Line	p. 408
Systems of Linear Equations	p. 431
Solving Systems of Linear Equations Graphically	p. 432
Solving Systems of Linear Equations Using the Addition Method	p. 434
Solving Systems of Linear Equations Using the Substitution Method	p. 439
Problem Solving Using Systems of Linear Equations	p. 441
Chapters 7-10 Cumulative Practice Test	p. 452
Powers and Polynomials	p. 453
Laws of Exponents	p. 454
Polynomials	p. 461
Basic Operations with Polynomials	p. 465
Roots and Radicals	p. 484
Irrational Numbers and Real Numbers	p. 485
Simplifying Irrational Expressions	p. 491
Basic Operations with Square-Root Radicals	p. 497
Complex and Imaginary Numbers	p. 505
Factoring	p. 518
The Distributive Property and Common Factors	p. 519
Factoring Special Products	p. 522
Factoring General Trinomials	p. 527
Rational Expressions and Equations	p. 542
Simplifying Rational Expressions	p. 543
Multiplying and Dividing Rational Expressions	p. 547
Adding and Subtracting Rational Expressions	p. 553
Solving Equations with Rational Expressions	p. 558
Quadratic and Higher-Degree Equations	p. 571
Solving Quadratic Equations by the Square-Root Method	p. 572
Solving Quadratic Equations by Factoring	p. 576
Solving Quadratic Equations by Completing the Square or Using the Formula	p. 580
Graphing Quadratic Functions	p. 588
Solving Higher-Degree Equations by Factoring	p. 597
Chapters 11-15 Cumulative Practice Test	p. 616
Exponential and Logarithmic Equations	p. 619
Exponential Expressions, Equations, and Formulas	p. 620
Logarithmic Expressions, Equations, and Formulas	p. 636
Inequalities and Absolute Values	p. 654
Inequalities and Sets	p. 655
Solving Linear Inequalities	p. 659
Solving Compound Inequalities	p. 667
Solving Quadratic and Rational Inequalities in One Variable	p. 673
Solving Equations and Inequalities Containing One Absolute-Value Term	p. 679
Geometry	p. 694
Lines and Angles	p. 695
Polygons	p. 704
Circles and Radians	p. 716
Volume and Surface Area	p. 731
Triangles	p. 756
Special Triangle Relationships	p. 757
Pythagorean Theorem	p. 765
Inscribed and Circumscribed Regular Polygons and Circles	p. 774
Distance and Midpoints	p. 784
Chapters 16-19 Cumulative Practice Test	p. 800
Right-Triangle Trigonometry	p. 803
Trigonometric Functions	p. 804
Solving Right Triangles Using the Sine, Cosine, and Tangent Functions	p. 809
Trigonometry with Any Angle	p. 834
Vectors	p. 835
Trigonometric Functions for Any Angle	p. 845
Period and Phase Shift	p. 850
Law of Sines	p. 856
Law of Cosines	p. 864
Chapters 20-21 Cumulative Practice Test	p. 883
Selected Answers to Student Exercise Material	p. 885
Glossary and Index	p. 969
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