# Developmental Mathematics: Prealgebra, Elementary Algebra, and Intermediate Algebra, 2nd edition

• Michael Sullivan,
• Katherine R. Struve,
• Janet Mazzarella

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## Overview

Known for its unique examples that provide extra step-by-step support, Developmental Mathematics utilizes the authors' hallmark engaging features to introduce the logic, precision and rigor of mathematics  -- while building a foundation for success in future math courses.

ISBN-13: 9780137398966

Subject: Developmental Math

Category: Basic Math/Prealgebra, Beginning Algebra & Intermediate Algebra Combined

## Overview

1. Whole Numbers
• 1.1 Success in Mathematics
• 1.2 Fundamentals of Whole Numbers
• 1.3 Adding and Subtracting Whole Numbers
• 1.4 Multiplying Whole Numbers; Exponents
• Putting the Concepts Together (Sections 1.1—1.4)
• 1.5 Dividing Whole Numbers
• 1.6 Prime Numbers
• 1.7 Order of Operations
• Chapter 1 Review
• Chapter 1 Test
• Getting Ready for Chapter 2: A Review of Whole Numbers
2. Integers and an Introduction to Algebra
• 2.1 Fundamentals of Integers
• 2.2 Adding and Subtracting Integers
• 2.3 Multiplying and Dividing Integers
• 2.4 Exponents; Order of Operations
• Putting the Concepts Together (Sections 2.1—2.4)
• 2.5 Simplifying Algebraic Expressions
• 2.6 Linear Equations: The Addition and Multiplication Properties
• 2.7 Linear Equations: Using the Properties Together
• 2.8 Introduction to Problem Solving: Direct Translation Problems
• Chapter 2 Review
• Chapter 2 Test
• Getting Ready for Chapter 3: A Review of Chapters 1 and 2
3. Rational Numbers Expressed as Fractions
• 3.1 Fundamentals of Fractions
• 3.2 Multiplying and Dividing Fractions
• 3.3 Adding and Subtracting Like Fractions
• Putting the Concepts Together (Sections 3.1—3.3)
• 3.4 Adding and Subtracting Unlike Fractions
• 3.5 Order of Operations and Complex Fractions
• 3.6 Operations with Mixed Numbers
• 3.7 Solving Equations That Contain Fractions
• Chapter 3 Review
• Chapter 3 Test
• Getting Ready for Chapter 4: A Review of Chapters 1—3
4. Rational Numbers as Decimals
• 4.1 Fundamentals of Decimals
• 4.2 Adding and Subtracting Decimals
• 4.3 Multiplying Decimals
• 4.4 Dividing Decimals
• Putting the Concepts Together (Sections 4.1—4.4)
• 4.5 Solving Equations That Contain Decimals
• Chapter 4 Review
• Chapter 4 Test
• Getting Ready for Chapter 5: A Review of Chapters 1—4
• Putting It Together: Real Numbers
5. Ratio, Proportion, and Percent
• 5.1 Ratios and Unit Rates
• 5.2 Proportions
• 5.3 Fundamentals of Percent Notation
• Putting the Concepts Together (Sections 5.1—5.3)
• 5.4 Solving Percent Problems: Proportion Method
• 5.5 Solving Percent Problems: Equation Method
• 5.6 Applications Involving Percent
• Chapter 5 Review
• Chapter 5 Test
• Getting Ready for Chapter 6: A Review of Chapters 1—5
6. Measurement and Geometry
• 6.1 The U.S. Standard (English) System of Measurement
• 6.2 The Metric System of Measurement
• Putting the Concepts Together (Sections 6.1—6.2)
• 6.3 Fundamentals of Geometry
• 6.4 Introduction to Square Roots and the Pythagorean Theorem
• 6.5 Polygons
• 6.6 Perimeter and Area of Polygons and Circles
• 6.7 Volume and Surface Area
• Chapter 6 Review
• Chapter 6 Test
• Getting Ready for Chapter 7: A Review of Chapters 1—6
7. Introduction to Statistics and the Rectangular Coordinate System
• 7.1 Tables and Graphs
• 7.2 Mean, Median, and Mode
• Putting the Concepts Together (Sections 7.1 and 7.2)
• 7.3 The Rectangular Coordinate System and Equations in Two Variables
• 7.4 Graphing Equations in Two Variables
• Chapter 7 Review
• Chapter 7 Test
• Getting Ready for Elementary Algebra: A Review of Chapters 1—7
8. Equations and Inequalities in One Variable
• 8.1 Linear Equations: The Addition and Multiplication Properties of Equality
• 8.2 Linear Equations: Using the Properties Together
• 8.3 Solving Linear Equations Involving Fractions and Decimals; Classifying Equations
• 8.4 Evaluating Formulas and Solving Formulas for a Variable
• 8.5 Problem Solving: Direct Translation
• 8.6 Problem Solving: Problems Involving Percent
• 8.7 Problem Solving: Geometry and Uniform Motion
• 8.8 Solving Linear Inequalities in One Variable
• Chapter 8 Review
• Chapter 8 Test
9. Introduction to Graphing and Equations of Lines
• 9.1 The Rectangular Coordinate System and Equations in Two Variables
• 9.2 Graphing Equations in Two Variables
• 9.3 Slope
• 9.4 Slope-Intercept Form of a Line
• 9.5 Point-Slope Form of a Line
• 9.6 Parallel and Perpendicular Lines
• Putting the Concepts Together (Sections 9.1—9.6)
• 9.7 Linear Inequalities in Two Variables
• Chapter 9 Activity: Graphing Practice
• Chapter 9 Review
• Chapter 9 Test
• Cumulative Review Chapters 1—9
10. Systems of Linear Equations and Inequalities
• 10.1 Solving Systems of Linear Equations by Graphing
• 10.2 Solving Systems of Linear Equations Using Substitution
• 10.3 Solving Systems of Linear Equations Using Elimination
• Putting the Concepts Together (Sections 10.1—10.3)
• 10.4 Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations
• 10.5 Solving Mixture Problems Using Systems of Linear Equations
• 10.6 Systems of Linear Inequalities
• Chapter 10 Activity: Find the Numbers
• Chapter 10 Review
• Chapter 10 Test
11. Exponents and Polynomials
• 11.1 Adding and Subtracting Polynomials
• 11.2 Multiplying Monomials: The Product and Power Rules
• 11.3 Multiplying Polynomials
• 11.4 Dividing Monomials: The Quotient Rule and Integer Exponents
• Putting the Concepts Together (Sections 11.1—11.4)
• 11.5 Dividing Polynomials
• 11.6 Applying Exponent Rules: Scientific Notation
• Chapter 11 Activity: What Is the Question?
• Chapter 11 Review
• Chapter 11 Test
• Cumulative Review Chapters 1—11
12. Factoring Polynomials
• 12.1 Greatest Common Factor and Factoring by Grouping
• 12.2 Factoring Trinomials of the Form x2 + bx + c
• 12.3 Factoring Trinomials of the Form ax2 + bx + c, a 1
• 12.4 Factoring Special Products 837
• 12.5 Summary of Factoring Techniques
• Putting the Concepts Together (Sections 12.1—12.5)
• 12.6 Solving Polynomial Equations by Factoring
• 12.7 Modeling and Solving Problems with Quadratic Equations
• Chapter 12 Activity: Which One Does Not Belong?
• Chapter 12 Review
• Chapter 12 Test
• Getting Ready for Intermediate Algebra: A Review of Chapters 1—12
13. Rational Expressions and Equations
• 13.1 Simplifying Rational Expressions
• 13.2 Multiplying and Dividing Rational Expressions
• 13.3 Adding and Subtracting Rational Expressions with a Common Denominator
• 13.4 Finding the Least Common Denominator and Forming Equivalent Rational Expressions
• 13.5 Adding and Subtracting Rational Expressions with Unlike Denominators
• 13.6 Complex Rational Expressions
• Putting the Concepts Together (Sections 13.1—13.6)
• 13.7 Rational Equations
• 13.8 Models Involving Rational Equations
• Chapter 13 Activity: Correct the Quiz
• Chapter 13 Review
• Chapter 13 Test
• Cumulative Review Chapters 1—13
• Getting Ready for Intermediate Algebra: A Review of Chapters 1—13
• Getting Ready for Chapter 14: Interval Notation
14. Graphs, Relations, and Functions
• 14.1 Graphs of Equations
• 14.2 Relations
• 14.3 An Introduction to Functions
• 14.4 Functions and Their Graphs
• Putting the Concepts Together (Sections 14.1—14.4)
• 14.5 Linear Functions and Models
• 14.6 Compound Inequalities
• 14.7 Absolute Value Equations and Inequalities
• 14.8 Variation
• Chapter 14 Activity: Shifting Discovery
• Chapter 14 Review
• Chapter 14 Test
• 15.1 Square Roots
• 15.2 nth Roots and Rational Exponents
• 15.3 Simplifying Expressions Using the Laws of Exponents
• Putting the Concepts Together (Sections 15.1—15.6)
• 15.7.4 Graph Functions Involving Cube Roots
• 15.8 Radical Equations and Their Applications
• 15.9 The Complex Number System
• Chapter 15 Activity: Correct the Quiz
• Chapter 15 Review
• Chapter 15 Test
• Cumulative Review Chapters 1—15
• 16.1 Solving Quadratic Equations by Completing the Square
• 16.3 Solving Equations Quadratic in Form
• Putting the Concepts Together (Sections 16.1—16.3)
• 16.4 Graphing Quadratic Functions Using Transformations
• 16.5 Graphing Quadratic Functions Using Properties
• 16.6 Polynomial Inequalities
• 16.7 Rational Inequalities
• Chapter 16 Activity: Presidential Decision Making
• Chapter 16 Review
• Chapter 16 Test
17. Exponential and Logarithmic Functions
• 17.1 Composite Functions and Inverse Functions
• 17.2 Exponential Functions
• 17.3 Logarithmic Functions
• Putting the Sections Together (17.1—17.3)
• 17.4 Properties of Logarithms
• 17.5 Exponential and Logarithmic Equations
• Chapter 17 Activity: Correct the Quiz
• Chapter 17 Review
• Chapter 17 Test
• Cumulative Review Chapters 1—15
18. Conics
• 18.1 Distance and Midpoint Formulas
• 18.2 Circles
• 18.3 Parabolas
• 18.4 Ellipses
• 18.5 Hyperbolas
• Putting the Concepts Together (Sections 18.1—18.5)
• 18.6 Systems of Nonlinear Equations
• 18.6.1 Solve a System of Nonlinear Equations Using Substitution
• 18.6.2 Solve a System of Nonlinear Equations Using Elimination
• Chapter 18 Activity: How Do You Know That …?
• Chapter 18 Review
• Chapter 18 Test
19. Sequences, Series, and the Binomial Theorem
• 19.1 Sequences
• 19.2 Arithmetic Sequences
• 19.3 Geometric Sequences and Series
• Putting the Concepts Together (Sections 19.1—19.3)
• 19.4 The Binomial Theorem
• Chapter 19 Activity: Discover the Relation
• Chapter 19 Review
• Chapter 19 Test
• Cumulative Review Chapters 1—19

### APPENDICES

• Appendix A. Synthetic Division
• A.1.1 Divide Polynomials Using Synthetic Division
• A.1.2 Use the Remainder and Factor Theorems
• Appendix B. More on Systems of Linear Equations
• B.1 A Review of Systems of Linear Equations in Two Variables
• B.1.1 Determine Whether an Ordered Pair Is a Solution of a System of Linear Equations
• B.1.2 Solve a System of Two Linear Equations by Graphing
• B.1.3 Solve a System of Two Linear Equations by Substitution
• B.1.4 Solve a System of Two Linear Equations by Elimination
• B.1.5 Identify Inconsistent Systems
• B.1.6 Write the Solution of a System with Dependent Equations
• B.2 Systems of Linear Equations in Three Variables
• B.2.1 Solve Systems of Three Linear Equations
• B.2.2 Identify Inconsistent Systems
• B.2.3 Write the Solution of a System with Dependent Equations
• B.2.4 Model and Solve Problems Involving Three Linear Equations
• B.3 A Using Matrices to Solve Systems
• B.3.1 Write the Augmented Matrix of a System
• B.3.2 Write the System from the Augmented Matrix
• B.3.3 Perform Row Operations on a Matrix
• B.3.4 Solve Systems Using Matrices
• B.3.5 Solve Consistent Systems with Dependent Equations and Solve Inconsistent Systems
• B.4 Determinants and Cramer’s Rule
• B.4.1 Evaluate the Determinant of a 2 x 2 Matrix
• B.4.2 Use Cramer’s Rule to Solve a System of Two Equations
• B.4.3 Evaluate the Determinant of a 3 x 3 Matrix
• B.4.4 Use Cramer’s Rule to Solve a System of Three Equations
• Appendix C. Table of Square Roots

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