Essentials of College Mathematics

by Cleaves, Cheryl; Hobbs, Margie

• ISBN13: 9780131714809
• ISBN10: 0131714805
• Edition: 2nd
• Format: Paperback
• Copyright: 2019-11-21
• Publisher: Pearson

Summary

This text is designed for students in technical, trade, allied health, and other 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

Table of Contents

Review of Basic Concepts	1	(58)
Basic Operations with Whole Numbers and Decimals	2	(29)
Exponents, Roots, and Powers of 10	31	(5)
Order of Operations and Problem Solving	36	(23)
Career Application: DC Circuits	56	(3)
Review of Fractions and Percents	59	(83)
Equivalent Fractions and Decimals	60	(18)
Adding and Subtracting Fractions and Mixed Numbers	78	(6)
Multiplying and Dividing Fractions and Mixed Numbers	84	(9)
The U.S. Customary System of Measurement	93	(14)
Number and Percent Equivalents	107	(6)
Percentage Problems	113	(8)
Increase and Decrease	121	(21)
Career Application: What Percent Tax Is Really Withheld?	140	(2)
Measurement	142	(56)
Introduction to the Metric System	143	(12)
Time, Temperature, and Other Measures	155	(5)
Metric-U.S. Customary Comparisons	160	(2)
Accuracy, Precision, and Error	162	(5)
Reading Measuring Instruments	167	(31)
Career Application: Nursing---Drug Dosage and IV Concentration	196	(2)
Signed Numbers and Powers of 10	198	(45)
Adding Signed Numbers	199	(6)
Subtracting Signed Numbers	205	(4)
Multiplying and Dividing Signed Numbers	209	(5)
Signed Fractions and Decimals	214	(7)
Powers of 10	221	(5)
Scientific Notation	226	(17)
Career Application: Engineering Notation	240	(2)
Cumulative Practice Test for Chapters 1--4	242	(1)
Linear Equations	243	(51)
Variable Notation	244	(6)
Solving Basic Linear Equations	250	(8)
Applying the Distributive Property in Solving Equations	258	(4)
Solving Linear Equations with Fractions by Clearing the Denominators	262	(13)
Formulas	275	(19)
Career Application: Electronics---Kirchoff's Laws	290	(4)
Ratio and Proportion	294	(25)
Ratio and Proportion	295	(2)
Direct Variation	297	(11)
Inverse Variation	308	(11)
Career Application: Analyzing Nutrition Labels	317	(2)
Graphing Linear Equations	319	(47)
Graphical Representation of Linear Equations	320	(8)
Graphing Linear Equations with Two Variables Using Alternative Methods	328	(9)
Slope	337	(5)
Linear Equation of a Line	342	(24)
Career Application: Electronics---Using the Slope to Find Resistance	363	(3)
Systems of Linear Equations	366	(21)
Solving Systems of Linear Equations Graphically	367	(2)
Solving Systems of Equations Using the Addition Method	369	(5)
Solving Systems of Equations Using the Substitution Method	374	(2)
Problem Solving Using Systems of Linear Equations	376	(11)
Career Application: Electronics---Mesh Currents	384	(2)
Cumulative Practice Test for Chapters 5--8	386	(1)
Powers and Polynomials	387	(22)
Laws of Exponents	388	(7)
Polynomials	395	(3)
Basic Operations with Polynomials	398	(11)
Career Application: Business---Maximize Your Investments---Start Early	407	(2)
Products and Factors	409	(28)
The Distributive Property and Common Factors	410	(3)
Multiplying and Dividing Polynomials	413	(6)
Factoring Special Products	419	(3)
Factoring General Trinomials	422	(15)
Career Application: Information Systems---Security Coding	435	(2)
Quadratic Equations	437	(33)
Solving Quadratic Equations by the Square-Root Method	438	(4)
Solving Quadratic Equations by Factoring	442	(4)
Solving Quadratic Equations Using the Quadratic Formula	446	(4)
Graphing Quadratic Equations	450	(6)
Imaginary Numbers	456	(14)
Career Application: Civil Engineering---Freeway Supports	468	(1)
Cumulative Practice Test for Chapters 9--11	469	(1)
Geometry	470	(67)
Lines and Angles	471	(9)
Perimeter and Area	480	(10)
Circles and Radians	490	(17)
Volume and Surface Area	507	(9)
Special Triangle Relationships	516	(21)
Career Application: Interior Design---Paint, Wallpaper, and Border	535	(2)
Right-Triangle Trigonometry	537	(33)
Trigonometric Functions	538	(5)
Solving Right Triangles Using the Sine, Cosine, and Tangent Functions	543	(27)
Career Application: Electronics---Series Circuits and Parallel Circuits	565	(5)
Trigonometry with Any Angle	570	(41)
Vectors	571	(5)
Trigonometric Functions for Any Angle	576	(5)
Period and Phase Shift	581	(5)
Law of Sines	586	(7)
Law of Cosines	593	(18)
Career Application: Law Enforcement---Vehicle Vaults	608	(1)
Cumulative Practice Test for Chapters 12--14	609	(2)
Statistics	611	(31)
Reading Circle, Bar, and Line Graphs	612	(4)
Averages and Frequency Distributions	616	(8)
Range and Standard Deviation	624	(4)
Counting Techniques and Simple Probability	628	(14)
Career Application: Teaching---Using Statistics to Examine Class Performance	640	(2)
Selected Answers to Student Exercise Material	642	(47)
Glossary and Index	689