Developmental Mathematics: Prealgebra, Beginning Algebra, and Intermediate Algebra, 1st edition

Published by Pearson (April 22, 2014) © 2014

  • John Tobey North Shore Community College
  • Jeffrey Slater North Shore Community College
  • Jamie Blair Orange Coast College
  • Jennifer Crawford Normandale Community College
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  • Loose-leaf, 3-hole-punched pages
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Developmental Mathematics: Prealgebra, Beginning Algebra, and Intermediate Algebra, 1st Edition is with you every step of the way in your math course. It offers everything needed for the full developmental math sequence in one flexible, modularized solution, including Use Math to Save Money Animations. The topic-based modules build essential skills one at a time by breaking the mathematics down into manageable pieces, and guide you as you progress through the material in all course environments, including hybrid, self-paced and online.

Module 1: Whole Numbers and Introduction to Algebra

1.1: Understanding Whole Numbers

1.2: Adding Whole Number Expressions

1.3: Subtracting Whole Number Expressions

1.4: Multiplying Whole Number Expressions

1.5: Dividing Whole Number Expressions

1.6: Exponents and the Order of Operations

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How Am I Doing? Topics 1.1–1.6

1.7: More on Algebraic Expressions

1.8: Introduction to Solving Linear Equations

1.9: Solving Applied Problems Using Several Operations

Module 1 Organizer

Module 1 Review Problems

How Am I Doing? Module 1 Test

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Module 2: Integers

2.1: Understanding Integers

2.2: Adding Integers

2.3: Subtracting Integers

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How Am I Doing? Topics 2.1–2.3

2.4: Multiplying and Dividing Integers

2.5: The Order of Operations and Applications Involving Integers

2.6: Simplifying and Evaluating Algebraic Expressions

Module 2 Organizer

Module 2 Review Problems

How Am I Doing? Module 2 Test

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Module 3: Introduction to Equations and Algebraic Expressions

3.1: Equations of the form x + a = c and x - a = c

3.2: Equations of the form ax = c

How Am I Doing? Topics 3.1–3.2

3.3: Equations and Geometric Formulas

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3.4: Performing Operations with Exponents

Module 3 Organizer

Module 3 Review Problems

How Am I Doing? Module 3 Test

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Module 4: Fractions, Ratio, and Proportions

4.1: Factoring Whole Numbers

4.2: Understanding Fractions

4.3: Simplifying Fractional Expressions

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How Am I Doing? Topics 4.1–4.3

4.4: Simplifying Fractional Expressions with Exponents

4.5: Ratios and Rates

4.6: Proportions and Applications

Module 4 Organizer

Module 4 Review Problems

How Am I Doing? Module 4 Test

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Module 5: Operations on Fractional Expressions

5.1: Multiplying and Dividing Fractional Expressions

5.2: Least Common Multiples of Algebraic Expressions

5.3: Adding and Subtracting Fractional Expressions

5.4: Operations with Mixed Numbers

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How Am I Doing? Topics 5.1–5.4

5.5: Order of Operations and Complex Fractions

5.6: Solving Applied Problems Involving Fractions

5.7: The Multiplication Principle of Equality

Module 5 Organizer

Module 5 Review Problems

How Am I Doing? Module 5 Test

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Module 6: Decimals and Percents

6.1: Understanding Decimal Fractions

6.2: Adding and Subtracting Decimal Expressions

6.3: Multiplying and Dividing Decimal Expressions

How Am I Doing? Topics 6.1–6.3

6.4: Estimating with Percents

6.5: Percents

6.6: Solving Percent Problems Using Equations

6.7: Solving Percent Problems Using Proportions

6.8: Solving Applied Problems Involving Percents

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Module 6 Organizer

Module 6 Review Problems

How Am I Doing? Module 6 Test

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Module 7: Measurement and Geometric Figures

7.1: Using Unit Fractions with U.S. and Metric Units

7.2: Converting Between the U.S. and Metric Systems

7.3: Angles

How Am I Doing? Topics 7.1–7.3

7.4: The Circle

7.5: Volume

7.6: Similar Geometric Figures

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Module 7 Organizer

Module 7 Review Problems

How Am I Doing? Module 7 Test

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Module 8: Introduction to Polynomials

8.1: Adding and Subtracting Polynomials

8.2: Multiplying Polynomials

How Am I Doing? Topics 8.1–8.2

8.3: Translate from English to Algebra

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8.4: Factoring Using the Greatest Common Factor

Module 8 Organizer

Module 8 Review Problems

How Am I Doing? Module 8 Test

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Module 9: Equations, Inequalities, and Applications

9.1: Addition and Multiplication Principles of Equality

9.2: Using Both Principles of Equality Together

9.3: Solving Equations with Fractions

How Am I Doing? Topics 9.1–9.3

9.4: Formulas

9.5: Using Equations to Solve Word Problems

9.6: Solving Word Problems Involving Money and Percents

9.7: Solving Inequalities in One Variable

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Module 9 Organizer

Module 9 Review Problems

How Am I Doing? Module 9 Test

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Module 10: Graphing and Functions

10.1: The Rectangular Coordinate System

10.2: Graphing Linear Equations

10.3: The Slope of a Line

How Am I Doing? Topics 10.1–10.3

10.4: Writing the Equation of a Line

10.5: Graphing Linear Inequalities

10.6: Functions

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Module 10 Organizer

Module 10 Review Problems

How Am I Doing? Module 10 Test

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Module 11: Systems of Linear Equations and Inequalities

11.1: Systems of Linear Equations in Two Variables

11.2: Systems of Linear Equations in Three Variables

How Am I Doing? Topics 11.1–11.2

11.3: Applications of Systems of Linear Equations

11.4: Systems of Linear Inequalities

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Module 11 Organizer

Module 11 Review Problems

How Am I Doing? Module 11 Test

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Module 12: Exponents and Polynomials

12.1: The Rules of Exponents

12.2: Negative Exponents and Scientific Notation

12.3: Fundamental Polynomial Operations

How Am I Doing? Topics 12.1–12.3

12.4: Multiplying Polynomials

12.5: Multiplication -Special Cases

12.6: Dividing Polynomials

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Module 12 Organizer

Module 12 Review Problems

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Module 13: Factoring

13.1: Removing a Common Factor

13.2: Factoring by Grouping

13.3: Factoring Trinomials When a = 1

13.4: Factoring Trinomials When a ≠ 1

How Am I Doing? Topics 13.1–13.4

13.5: Special Cases of Factoring

13.6: A Brief Review of Factoring

13.7: Solving Quadratic Equations by Factoring

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Module 13 Organizer

Module 13 Review Problems

How Am I Doing? Module 13 Test

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Module 14: Rational Expressions and Equations

14.1: Simplifying Rational Expressions

14.2: Multiplying and Dividing Rational Expressions

14.3: Adding and Subtracting Rational Expressions

How Am I Doing? Topics 14.1–14.3

14.4: Simplifying Complex Rational Expressions

14.5: Solving Equations Involving Rational Expressions

14.6: Ratio, Proportion, and Other Applied Problems

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Module 14 Organizer

Module 14 Review Problems

How Am I Doing? Module 14 Test

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Module 15: Rational Exponents and Radicals

15.1: Rational Exponents

15.2: Radical Expressions and Functions

15.3: Simplifying, Adding, and Subtracting Radicals

15.4: Multiplying and Dividing Radicals

How Am I Doing? Topics 15.1–15.3

15.5: Radical Equations

15.6: Complex Numbers

15.7: Variation

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Module 15 Organizer

Module 15 Review Problems

How Am I Doing? Module 15 Test

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Module 16: Quadratic Equations

16.1: Quadratic Equations

16.2: Solutions to Quadratic Equations-Quadratic Formula

16.3: Solving Equations That Are Quadratic in Form

How Am I Doing? Topics 16.1–16.3

16.4: Formulas and Applications

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Module 16 Organizer

Module 16 Review Problems

How Am I Doing? Module 16 Test

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Module 17: The Conic Sections

17.1: The Distance Formula and the Circle

17.2: The Parabola

17.3: The Ellipse

How Am I Doing? Topics 17.1–17.3

17.4: The Hyperbola

17.5: Nonlinear Systems of Equations

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Module 17 Organizer

Module 17 Review Problems

How Am I Doing? Module 17 Test

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Module 18: Additional Properties of Functions

18.1: Function Notation

18.2: General Graphing Procedures for Functions

How Am I Doing? Topics 18.1–18.2

18.3: Algebraic Operations on Functions

18.4: Inverse of a Function

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Module 18 Organizer

Module 18 Review Problems

How Am I Doing? Module 18 Test

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Module 19: Logarithmic and Exponential Functions

19.1: The Exponential Function

19.2: The Logarithmic Function

19.3: Properties of Logarithms

How Am I Doing? Topics 19.1–19.3

19.4: Common and Natural Logarithms; Change of Base

19.5: Exponential and Logarithmic Equations

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Module 19 Organizer

Module 19 Review Problems

How Am I Doing? Module 19 Test

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Module 20: Additional Topics

20.1: Quadratic Functions

20.2: Compound and Quadratic Inequalities

20.3: Absolute Value Equations and Inequalities

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Module 20 Organizer

Module 20 Review Problems

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Appendices

Appendix A: Consumer Finance Applications

Appendix B: Introduction to U.S. and Metric Units of Measurement

Appendix C: Additional Arithmetic Practice

Appendix D: Foundations for Intermediate Algebra: A Transition from Beginning to Intermediate Algebra

Appendix E: Determinants and Cramer's Rule

Appendix F: Solving Systems of Linear Equations Using Matrices

Appendix G: Sets

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