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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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ISBN-13: 9780137398966
Developmental Mathematics: Prealgebra, Elementary Algebra, and Intermediate Algebra
Published 2020

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Developmental Mathematics: Prealgebra, Elementary Algebra, and Intermediate Algebra
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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.

  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. 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
  16. 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
  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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