Student Solutions Manual for Basic College Mathematics

1. Whole Numbers

Study Skills Your Brain Can Learn Mathematics

1.1 Reading and Writing Whole Numbers

Study Skills Using Your Text

1.2 Adding Whole Numbers

1.3 Subtracting Whole Numbers

1.4 Multiplying Whole Numbers

1.5 Dividing Whole Numbers

1.6 Long Division

Summary Exercises Whole Numbers Computation

1.7 Rounding Whole Numbers

1.8 Exponents, Roots, and Order of Operations

Study Skills Taking Lecture Notes

1.9 Reading Pictographs, Bar Graphs, and Line Graphs

1.10 Solving Application Problems

2. Multiplying and Dividing Fractions

2.1 Basics of Fractions

Study Skills Homework: How, Why, and When

2.2 Mixed Numbers

2.3 Factors

2.4 Writing a Fraction in Lowest Terms

Study Skills Using Study Cards

Summary Exercises Fraction Basics

2.5 Multiplying Fractions

2.6 Applications of Multiplication

2.7 Dividing Fractions

Study Skills Using Study Cards Revisited

2.8 Multiplying and Dividing Mixed Numbers

Study Skills Reviewing a Chapter
Study Skills Tips for Taking Math Tests

3. Adding and Subtracting Fractions

3.1 Adding and Subtracting Like Fractions

Study Skills Managing Your Time

3.2 Least Common Multiples

3.3 Adding and Subtracting Unlike Fractions

3.4 Adding and Subtracting Mixed Numbers

Summary Exercises Operations with Fractions

Study Skills Making a Mind Map

3.5 Order Relations and the Order of Operations

Study Skills Preparing for Tests

4. Decimals

4.1 Reading and Writing Decimal Numbers

4.2 Rounding Decimal Numbers

4.3 Adding and Subtracting Decimal Numbers

4.4 Multiplying Decimal Numbers

Summary Exercises Adding, Subtracting, and Multiplying Decimal Numbers

4.5 Dividing Decimal Numbers

4.6 Fractions and Decimals

Study Skills Analyzing Your Test Results

5. Ratio and Proportion

5.1 Ratios

5.2 Rates

5.3 Proportions

5.4 Solving Proportions

Summary Exercises Ratios, Rates, and Proportions

5.5 Solving Application Problems with Proportions

6. Percent

6.1 Basics of Percent

6.2 Percents and Fractions

6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem

6.4 Using Proportions to Solve Percent Problems

6.5 Using the Percent Equation

Summary Exercises Using the Percent Proportion and Percent Equation

6.6 Solving Application Problems with Percent

6.7 Simple Interest

6.8 Compound Interest

Study Skills Preparing for Your Final Exam

7. Measurement

7.1 Problem Solving with U.S. Measurement Units

7.2 The Metric System—Length

7.3 The Metric System—Capacity and Weight (Mass)

Summary Exercises U.S. and Metric Measurement Units

7.4 Problem Solving with Metric Measurement

7.5 Metric—U.S. Measurement Conversions and Temperature

8. Geometry

8.1 Basic Geometric Terms

8.2 Angles and Their Relationships

8.3 Rectangles and Squares

8.4 Parallelograms and Trapezoids

8.5 Triangles

8.6 Circles

Summary Exercises Perimeter, Circumference, and Area

8.7 Volume

8.8 Pythagorean Theorem

8.9 Similar Triangles

9. Basic Algebra

9.1 Signed Numbers

9.2 Adding and Subtracting Signed Numbers

9.3 Multiplying and Dividing Signed Numbers

9.4 Order of Operations

Summary Exercises Operations with Signed Numbers

9.5 Evaluating Expressions and Formulas

9.6 Solving Equations

9.7 Solving Equations with Several Steps

9.8 Using Equations to Solve Application Problems

10. Statistics

10.1 Circle Graphs

10.2 Bar Graphs and Line Graphs

Summary Exercises Graphs

10.3 Frequency Distributions and Histograms

10.4 Mean, Median, and Mode

Appendix: Inductive and Deductive Reasoning