Summary

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The Sullivan Elementary & Intermediate Developmental Math Series, 4^th Edition introduces readers to the logic, precision and rigor of mathematics, while building a foundation for future success.

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Preface

1. Operations on Real Numbers and Algebraic Expressions

1.1. Success in Mathematics

1.2. Fractions, Decimals, and Percents

1.3. The Number Systems and the Real Number Line

1.4. Adding, Subtracting, Multiplying, and Dividing Integers

1.5. Adding, Subtracting, Multiplying, and Dividing Rational Numbers

Putting the Concepts Together (Sections 1.2–1.5)

1.6. Properties of Real Numbers

1.7. Exponents and the Order of Operations

1.8. Simplifying Algebraic Expressions

Chapter 1 Activity: The Math Game

Chapter 1 Review

Chapter 1 Test

2. Equations and Inequalities in One Variable

2.1. Linear Equations: The Addition and Multiplication Properties of Equality

2.2. Linear Equations: Using the Properties Together

2.3. Solving Linear Equations Involving Fractions and Decimals; Classifying Equations

2.4. Evaluating Formulas and Solving Formulas for a Variable

Putting the Concepts Together (Sections 2.1–2.4)

2.5. Problem Solving: Direct Translation

2.6. Problem Solving: Problems Involving Percent

2.7. Problem Solving: Geometry and Uniform Motion

2.8. Solving Linear Inequalities in One Variable

Chapter 2 Activity: Pass to the Right

Chapter 2 Review

Chapter 2 Test

3. Introduction to Graphing and Equations of Lines

3.1. The Rectangular Coordinate System and Equations in Two Variables

3.2. Graphing Equations in Two Variables

3.3. Slope

3.4. Slope-Intercept Form of a Line

3.5. Point-Slope Form of a Line

3.6. Parallel and Perpendicular Lines

Putting the Concepts Together (Sections 3.1–3.6)

3.7. Linear Inequalities in Two Variables

Chapter 3 Activity: Graphing Practice

Chapter 3 Review

Chapter 3 Test

Cumulative Review Chapters 1–3

4. Systems of Linear Equations and Inequalities in Two Variables

4.1. Solving Systems of Linear Equations by Graphing

4.2. Solving Systems of Linear Equations Using Substitution

4.3. Solving Systems of Linear Equations Using Elimination

Putting the Concepts Together (Sections 4.1–4.3)

4.4. Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations

4.5. Solving Mixture Problems Using Systems of Linear Equations

4.6. Systems of Linear Inequalities

Chapter 4 Activity: Find the Numbers

Chapter 4 Review

Chapter 4 Test

5. Exponents and Polynomials

5.1. Adding and Subtracting Polynomials

5.2. Multiplying Monomials: The Product and Power Rules

5.3. Multiplying Polynomials

5.4. Dividing Monomials: The Quotient Rule and Integer Exponents

Putting the Concepts Together (Sections 5.1–5.4)

5.5. Dividing Polynomials

5.6. Applying the Exponent Rules: Scientific Notation

Chapter 5 Activity: What Is the Question?

Chapter 5 Review

Chapter 5 Test

Cumulative Review Chapters 1–5

6. Factoring Polynomials

6.1. Greatest Common Factor and Factoring by Grouping

6.2. Factoring Trinomials of the Form x^2 + bx + c

6.3. Factoring Trinomials of the Form ax^2 + bx + c, a ≠ 1

6.4. Factoring Special Products

6.5. Summary of Factoring Techniques

Putting the Concepts Together (Sections 6.1–6.5)

6.6. Solving Polynomial Equations by Factoring

6.7. Modeling and Solving Problems with Quadratic Equations

Chapter 6 Activity: Which One Does Not Belong?

Chapter 6 Review

Chapter 6 Test

7. Rational Expressions and Equations

7.1. Simplifying Rational Expressions

7.2. Multiplying and Dividing Rational Expressions

7.3. Adding and Subtracting Rational Expressions with a Common Denominator

7.4. Finding the Least Common Denominator and Forming Equivalent Rational Expressions

7.5. Adding and Subtracting Rational Expressions with Unlike Denominators

7.6. Complex Rational Expressions

Putting the Concepts Together (Sections 7.1–7.6)

7.7. Rational Equations

7.8. Models Involving Rational Equations

7.9. Variation

Chapter 7 Activity: Correct the Quiz

Chapter 7 Review

Chapter 7 Test

Cumulative Review Chapters 1–7

8. Roots and Radicals

8.1. Introduction to Square Roots

8.2. Simplifying Square Roots

8.3. Adding and Subtracting Square Roots

8.4. Multiplying Expressions with Square Roots

8.5. Dividing Expressions with Square Roots

Putting the Concepts Together (Sections 8.1–8.5)

8.6. Solving Equations Containing Square Roots

8.7. Higher Roots and Rational Exponents

Chapter 8 Activity: Working Together with Radicals

Chapter 8 Review

Chapter 8 Test

9. Quadratic Equations

9.1. Solving Quadratic Equations Using the Square Root Property

9.2. Solving Quadratic Equations by Completing the Square

9.3. Solving Quadratic Equations Using the Quadratic Formula

Putting the Concepts Together (Sections 9.1–9.3)

9.4. Problem Solving Using Quadratic Equations

9.5. The Complex Number System

Chapter 9 Activity: The Math Game

Chapter 9 Review

Chapter 9 Test

Cumulative Review Chapters 1–9

10. Graphs of Quadratic Equations in Two Variables and an Introduction to Functions

10.1. Quadratic Equations in Two Variables

10.2. Relations

Putting the Concepts Together (Sections 10.1 and 10.2)

10.3. An Introduction to Functions

Chapter 10 Activity: Discovering Shifting

Chapter 10 Review

Chapter 10 Test

Appendix A: Table of Square Roots

Appendix B: Geometry Review

Photo Credits

Answers to Selected Exercises

Graphing Answer Section

Applications Index

Subject Index

Supplemental Materials

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