Developmental Mathematics with Applications and Visualization: Prealgebra, Beginning Algebra, and Intermediate Algebra, 2nd edition

Published by Pearson (January 1, 2021) © 2022

  • Gary K. Rockswold Minnesota State University, Mankato
  • Terry A. Krieger Rochester Community and Technical College
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In this eTextbook — More ways to learn

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  • More interactive. Bring learning to life with audio, videos, and diagrams.
  • More memorable. Make concepts stick with highlights, search, notes, and flashcards.
  • More understandable. Translate text into 100+ languages with one tap.
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Title overview

Developmental Mathematics with Applications and Visualization shows you why math matters; you'll make math part of your own experiences instead of just memorizing techniques. It uses applications, multiple representations, and a focus on visualization that helps students successfully absorb the information.

The 2nd Edition adds a wealth of new features including Connecting Concepts with Your Life, Math in Context, Online Exploration exercises, See the Concept, and more. Modeling data has been added to hundreds of exercises and examples, and applications have been updated throughout.

Table of contents

1. Whole Numbers

  • 1.1 Introduction to Whole Numbers
  • 1.2 Adding and Subtracting Whole Numbers; Perimeter <
  • 1.3 Multiplying and Dividing Whole Numbers; Area
  • 1.4 Exponents, Variables, and Algebraic Expressions
  • 1.5 Rounding and Estimating; Square Roots
  • 1.6 Order of Operations
  • 1.7 More with Equations and Problem Solving

2. Integers

  • 2.1 Integers and the Number Line
  • 2.2 Adding Integers
  • 2.3 Subtracting Integers
  • 2.4 Multiplying and Dividing Integers
  • 2.5 Order of Operations; Averages
  • 2.6 Solving Equations That Have Integer Solutions

3. Algebraic Expressions and Linear Equations

  • 3.1 Simplifying Algebraic Expressions
  • 3.2 Translating Words to Expressions and Equations
  • 3.3 Properties of Equality
  • 3.4 Solving Linear Equations in One Variable
  • 3.5 Applications and Problem Solving

4. Fractions

  • 4.1 Introduction to Fractions and Mixed Numbers
  • 4.2 Prime Factorization and Lowest Terms
  • 4.3 Multiplying and Dividing Fractions
  • 4.4 Adding and Subtracting Fractions–Like Denominators
  • 4.5 Adding and Subtracting Fractions–Unlike Denominators
  • 4.6 Operations on Mixed Numbers
  • 4.7 Complex Fractions and Order of Operations
  • 4.8 Solving Equations Involving Fractions

5. Decimals

  • 5.1 Introduction to Decimals
  • 5.2 Adding and Subtracting Decimals
  • 5.3 Multiplying and Dividing Decimals
  • 5.4 Real Numbers, Square Roots, and Order of Operations
  • 5.5 Solving Equations Involving Decimals
  • 5.6 Applications from Geometry and Statistics

6. Ratios, Proportions, and Measurement

  • 6.1 Ratios and Rates
  • 6.2 Proportions and Similar Figures
  • 6.3 The U.S. System of Measurement
  • 6.4 The Metric System of Measurement
  • 6.5 U.S.-Metric Conversions; Temperature 6.6 Time and Speed

7. Percents

  • 7.1 Introduction to Percent; Circle Graphs
  • 7.2 Using Equations to Solve Percent Problems
  • 7.3 Using Proportions to Solve Percent Problems
  • 7.4 Applications: Sales Tax, Discounts, and Net Pay
  • 7.5 Applications: Simple and Compound Interest
  • 7.6 Probability and Percent Chance

8. Geometry

  • 8.1 Plane Geometry: Points, Lines, and Angles
  • 8.2 Triangles
  • 8.3 Polygons and Circles
  • 8.4 Perimeter and Circumference
  • 8.5 Area, Volume, and Surface Area

9. Linear Equations and Inequalities in One Variable

  • 9.1 Review of Linear Equations in One Variable
  • 9.2 Further Problem Solving
  • 9.3 Linear Inequalities in One Variable

10. Graphing Equations

  • 10.1 Introduction to Graphing
  • 10.2 Equations in Two Variables
  • 10.3 Intercepts; Horizontal and Vertical Lines
  • 10.4 Slope and Rates of Change
  • 10.5 Slope-Intercept Form
  • 10.6 Point-Slope Form
  • 10.7 Introduction to Modeling

11. Systems of Linear Equations in Two Variables

  • 11.1 Solving Systems of Linear Equations Graphically and Numerically
  • 11.2 Solving Systems of Linear Equations by Substitution
  • 11.3 Solving Systems of Linear Equations by Elimination
  • 11.4 Systems of Linear Inequalities

12. Polynomials and Exponents

  • 12.1 Rules for Exponents
  • 12.2 Addition and Subtraction of Polynomials
  • 12.3 Multiplication of Polynomials
  • 12.4 Special Products
  • 12.5 Integer Exponents and the Quotient Rule
  • 12.6 Division of Polynomials

13. Factoring Polynomials and Solving Equations

  • 13.1 Introduction to Factoring
  • 13.2 Factoring Trinomials I (x2 + bx + c)
  • 13.3 Factoring Trinomials II (ax2 + bx + c)
  • 13.4 Special Types of Factoring
  • 13.5 Summary of Factoring
  • 13.6 Solving Equations by Factoring I (Quadratics)
  • 13.7 Solving Equations by Factoring II (Higher Degree)

14. Rational Expressions

  • 14.1 Introduction to Rational Expressions
  • 14.2 Multiplication and Division of Rational Expressions
  • 14.3 Addition and Subtraction with Like Denominators
  • 14.4 Addition and Subtraction with Unlike Denominators
  • 14.5 Complex Fractions
  • 14.6 Rational Equations and Formulas
  • 14.7 Proportions and Variation

15. Introduction to Functions

  • 15.1 Functions and Their Representations
  • 15.2 Linear Functions
  • 15.3 Compound Inequalities and Piecewise-Defined Functions
  • 15.4 Other Functions and Their Properties
  • 15.5 Absolute Value Equations and Inequalities

16. Systems of Linear Equations

  • 16.1 Systems of Linear Equations in Three Variables
  • 16.2 Matrix Solutions of Linear Systems
  • 16.3 Determinants

17. Radical Expressions and Functions

  • 17.1 Radical Expressions and Functions
  • 17.2 Rational Exponents
  • 17.3 Simplifying Radical Expressions
  • 17.4 Operations on Radical Expressions
  • 17.5 More Radical Functions
  • 17.6 Equations Involving Radical Expressions
  • 17.7 Complex Numbers

18. Quadratic Functions and Equations

  • 18.1 Quadratic Functions and Their Graphs
  • 18.2 Transformations and Translations of Parabolas
  • 18.3 Quadratic Equations
  • 18.4 The Quadratic Formula
  • 18.5 Quadratic Inequalities
  • 18.6 Equations in Quadratic Form

19. Exponential and Logarithmic Functions

  • 19.1 Composite and Inverse Functions
  • 19.2 Exponential Functions
  • 19.3 Logarithmic Functions
  • 19.4 Properties of Logarithms
  • 19.5 Exponential and Logarithmic Equations

20. Conic Sections

  • 20.1 Parabolas and Circles
  • 20.2 Ellipses and Hyperbolas
  • 20.3 Nonlinear Systems of Equations and Inequalities

21. Sequences and Series

  • 21.1 Sequences
  • 21.2 Arithmetic and Geometric Sequences
  • 21.3 Series
  • 21.4 The Binomial Theorem

Appendices

  • A: Using the Graphing Calculator
  • B: Sets
  • C: Linear Programming
  • D: Synthetic Division
  • E: Using a Calculator

Author bios

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