Developmental Mathematics: Prealgebra, Elementary Algebra, and Intermediate Algebra, 2nd edition
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Overview
Known for its unique examples that provide extra stepbystep 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.
Published by Pearson (December 11th 2020)  Copyright © 2019
ISBN13: 9780137398966
Subject: Developmental Math
Category: Basic Math/Prealgebra, Beginning Algebra & Intermediate Algebra Combined
Table of contents
Table of Contents
 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
 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
 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
 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
 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
 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
 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
 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
 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 SlopeIntercept Form of a Line
 9.5 PointSlope 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
 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
 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
 Factoring Polynomials
 12.1 Greatest Common Factor and Factoring by Grouping
 12.2 Factoring Trinomials of the Form x^{2} + bx + c
 12.3 Factoring Trinomials of the Form ax^{2} + 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
 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
 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
 Radicals and Rational Exponents
 15.1 Square Roots
 15.2 nth Roots and Rational Exponents
 15.3 Simplifying Expressions Using the Laws of Exponents
 15.4 Simplifying Radical Expressions Using Properties of Radicals
 15.5 Adding, Subtracting, and Multiplying Radical Expressions
 15.6 Rationalizing Radical Expressions
 Putting the Concepts Together (Sections 15.1—15.6)
 15.7 Functions Involving Radicals
 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
 Quadratic Equations and Functions
 16.1 Solving Quadratic Equations by Completing the Square
 16.2 Solving Quadratic Equations by the Quadratic Formula
 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
 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
 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
 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
 B.1 A Review of Systems of Linear Equations in Two Variables
 Appendix C. Table of Square Roots
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