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Developmental Mathematics: Prealgebra, Elementary Algebra, and Intermediate Algebra, 2nd edition
Published by Pearson (December 11, 2020) © 2019
- Michael Sullivan Joliet Junior College
- Katherine R. Struve
- Janet Mazzarella
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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.
- 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 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
- 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 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
- 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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