Student Solutions Manual for Developmental Mathematics: Basic Mathematics and Algebra

Zusammenfassung

The manual provides detailed solutions to the odd-numbered section-level exercises and to all margin, Relating Concepts, Summary, Chapter Review, Chapter Test, and Cumulative Review Exercises.

Inhalt

Preface

CHAPTER 1 Whole Numbers

1.1 Reading and Writing Whole Numbers

1.2 Adding Whole Numbers

1.3 Subtracting Whole Numbers

1.4 Multiplying Whole Numbers

1.5 Dividing Whole Numbers

1.6 Long Division

1.7 Rounding Whole Numbers

1.8 Exponents, Roots, and Order of Operations

1.9 Reading Pictographs, Bar Graphs, and Line Graphs

1.10 Solving Application Problems

CHAPTER 2 Multiplying and Dividing Fractions

2.1 Basics of Fractions

2.2 Mixed Numbers

2.3 Factors

2.4 Writing a Fraction in Lowest Terms

2.5 Multiplying Fractions

2.6 Applications of Multiplication

2.7 Dividing Fractions

2.8 Multiplying and Dividing Mixed Numbers

CHAPTER 3 Adding and Subtracting Fractions

3.1 Adding and Subtracting Like Fractions

3.2 Least Common Multiples

3.3 Adding and Subtracting Unlike Fractions

3.4 Adding and Subtracting Mixed Numbers

3.5 Order Relations and the Order of Operations

CHAPTER 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

4.5 Dividing Decimal Numbers

4.6 Fractions and Decimals

CHAPTER 5 Ratio and Proportion

5.1 Ratios

5.2 Rates

5.3 Proportions

5.4 Solving Proportions

5.5 Solving Application Problems with Proportions

CHAPTER 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

6.6 Solving Application Problems with Percent

6.7 Simple Interest

6.8 Compound Interest

CHAPTER 7 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

8.7 Volume

8.8 Pythagorean Theorem

8.9 Similar Triangles

CHAPTER 8 Statistics

8.1 Circle Graphs

8.2 Bar Graphs and Line Graphs

8.3 Frequency Distributions and Histograms

8.4 Mean, Median, and Mode

CHAPTER 9 The Real Number System

9.1 Exponents, Order of Operations, and Inequality

9.2 Variables, Expressions, and Equations

9.3 Real Numbers and the Number Line

9.4 Adding Real Numbers

9.5 Subtracting Real Numbers

9.6 Multiplying and Dividing Real Numbers

9.7 Properties of Real Numbers

9.8 Simplifying Expressions

**CHAPTER 10 Equations, Inequalities, and Applications
10.1 The Addition Property of Equality

10.2 The Multiplication Property of Equality

10.3 More on Solving Linear Equations

10.4 An Introduction to Applications of Linear Equations

10.5 Formulas and Additional Applications from Geometry

10.6 Solving Linear Inequalities

CHAPTER 11 Graphs of Linear Equations and Inequalities in Two Variables

11.1 Linear Equations and Rectangular Coordinates

11.2 Graphing Linear Equations in Two Variables

11.3 The Slope of a Line

11.4 Slope-Intercept Form of a Linear Equation

11.5 Point-Slope Form of a Linear Equation and Modeling

11.6 Graphing Linear Inequalities in Two Variables

CHAPTER 12 Exponents and Polynomials

12.1 The Product Rule and Power Rules for Exponents

12.2 Integer Exponents and the Quotient Rule

12.3 An Application of Exponents: Scientific Notation

12.4 Adding and Subtracting Polynomials

12.5 Multiplying Polynomials

12.6 Special Products

12.7 Dividing a Polynomial by a Monomial

12.8 Dividing a Polynomial by a Polynomial

CHAPTER 13 Factoring and Applications

13.1 Greatest Common Factors; Factor by Grouping

13.2 Factoring Trinomials

13.3 Factoring Trinomials by Grouping

13.4 Factoring Trinomials Using the FOIL Method

13.5 Special Factoring Techniques

13.6 Solving Quadratic Equations Using the Zero-Factor Property

13.7 Applications of Quadratic Equations

CHAPTER 14 Rational Expressions and Applications

14.1 The Fundamental Property of Rational Expressions

14.2 Multiplying and Dividing Rational Expressions

14.3 Least Common Denominators

14.4 Adding and Subtracting Rational Expressions

14.5 Complex Fractions

14.6 Solving Equations with Rational Expressions

14.7 Applications of Rational Expressions

14.8 Variation

CHAPTER 15 Systems of Linear Equations and Inequalities

15.1 Solving Systems of Linear Equations by Graphing

15.2 Solving Systems of Linear Equations by Substitution

15.3 Solving Systems of Linear Equations by Elimination