Description
The focus in BASIC COLLEGE MATHEMATICS is on you, the student. You are encouraged to be an active participant both in the classroom and in your own studies as you work through the How To examples and the paired Examples and You Try It problems. Active engagement is crucial to your success. BASIC COLLEGE MATHEMATICS presents worked examples, and then provides you with the opportunity to immediately solve similar problems, helping you build confidence as you learn to master the concepts. This simple framework, known as the Aufmann Interactive Method (AIM) is the foundation for your success.
All lessons, exercise sets, tests, and supplements are organized around a carefully constructed hierarchy of objectives. Each exercise mirrors a preceding objective, enabling you to better understand key concepts and practice skills you have just learned. This clear, objective-based approach helps you organize your thoughts around the content making the pages easier for you to follow.
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Chapter
Section 1.1:Introduction to Whole Numbers
Section 1.2:Addition of Whole Numbers
Section 1.3:Subtraction of Whole Numbers
Section 1.4:Multiplication of Whole Numbers
Section 1.5:Division of Whole Numbers
Section 1.6:Exponential Notation and the Order of Operations Agreement
Section 1.7:Prime Numbers and Factoring
Chapter 1:Review Exercises
Section 2.1:The Least Common Multiple and Greatest Common Factor
Section 2.2:Introduction to Fractions
Section 2.3:Writing Equivalent Fractions
Section 2.4:Addition of Fractions and Mixed Numbers
Section 2.5:Subtraction of Fractions and Mixed Numbers
Section 2.6:Multiplication of Fractions and Mixed Numbers
Section 2.7:Division of Fractions and Mixed Numbers
Section 2.8:Order, Exponents, and the Order of Operations Agreement
Chapter 2:Review Exercises
Section 3.1:Introduction to Decimals
Section 3.2:Addition of Decimals
Section 3.3:Subtraction of Decimals
Section 3.4:Multiplication of Decimals
Section 3.5:Division of Decimals
Section 3.6:Comparing and Converting Fractions and Decimals
Chapter 3:Review Exercises
Chapter 4:Ratio and Proportion
Chapter 4:Review Exercises
Section 5.1:Introduction to Percents
Section 5.2:Percent Equations:Part I
Section 5.3:Percent Equations:Part II
Section 5.4:Percent Equations:Part III
Section 5.5:Percent Problems:Proportion Method
Chapter 5:Review Exercises
Chapter 6:Applications for Business and Consumers
Section 6.1:Applications to Purchasing
Section 6.2:Percent Increase and Percent Decrease
Section 6.4:Real Estate Expenses
Section 6.7:Bank Statements
Chapter 6:Review Exercises
Chapter 7:Statistics and Probability
Section 7.1:Pictographs and Circle Graphs
Section 7.2:Bar Graphs and Broken-Line Graphs
Section 7.3:Histograms and Frequency Polygons
Section 7.4:Statistical Measures
Section 7.5:Introduction to Probability
Chapter 7:Review Exercises
Chapter 8:U.S. Customary Units of Measurement
Section 8.5:Energy and Power
Chapter 8:Review Exercises
Chapter 9:The Metric System of Measurement
Section 9.5:Conversion Between the U.S.Customary and the Metric Systems of Measurement
Chapter 9:Review Exercises
Chapter 10:Rational Numbers
Section 10.1:Introduction to Integers
Section 10.2:Addition and Subtraction of Integers
Section 10.3:Multiplication and Division of Integers
Section 10.4:Operations with Rational Numbers
Section 10.5:Scientific Notation and the Order of Operations Agreement
Chapter 10:Review Exercises
Chapter 11:Introduction to Algebra
Section 11.1:Variable Expressions
Section 11.2:Introduction to Equations
Section 11.3:General Equations:Part Ⅰ
Section 11.4:General Equations:Part Ⅱ
Section 11.5:Translating Verbal Expressions into Mathematical Expressions
Section 11.6:Translating Sentences into Equations and Solving
Chapter 11:Review Exercises
Section 12.1:Angles, Lines, and Geometric Figures
Section 12.2:Plane Geometric Figures
Section 12.5:The Pythagorean Theorem
Section 12.6:Similar and Congruent Triangles
Chapter 12:Review Exercises
Answers to Selected Exercises