# Intermediate Algebra (4e)

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Intermediate Algebra introduces you to the logic, precision and rigor of mathematics, while helping you build a foundation for future success. With examples and resources that provide step-by-step support, you'll have the tools you need to successfully "do the math".

• Preface

• R. Review

• R.1. Success in Mathematics

• R.2. Sets and Classification of Numbers

• R.3. Operations on Signed Numbers; Properties of Real Numbers

• R.4. Order of Operations

• R.5. Algebraic Expressions

1. Linear Equations and Inequalities

### Part I. Linear Equations and Inequalities in One Variable

• 1.1. Linear Equations in One Variable

• 1.2. An Introduction to Problem Solving

• 1.3. Using Formulas to Solve Problems

• 1.4. Linear Inequalities in One Variable

• Putting the Concepts Together (Sections 1.1–1.4)

### Part II. Linear Equations and Inequalities in Two Variables

• 1.5. Rectangular Coordinates and Graphs of Equations

• 1.6. Linear Equations in Two Variables

• 1.7. Parallel and Perpendicular Lines

• 1.8. Linear Inequalities in Two Variables

• Chapter 1 Activity: Pass the Paper

• Chapter 1 Review

• Chapter 1 Test

• Cumulative Review Chapters R–1

1. Relations, Functions, and More Inequalities

• Putting the Concepts Together (Sections 2.1–2.3)

• 2.1. Relations

• 2.2. An Introduction to Functions

• 2.3. Functions and Their Graphs

• 2.4. Linear Functions and Models

• 2.5. Compound Inequalities

• 2.6. Absolute Value Equations and Inequalities

• Chapter 2 Activity: Shifting Discovery

• Chapter 2 Review

• Chapter 2 Test

Systems of Linear Equations and Inequalities

• Putting the Concepts Together (Sections 3.1–3.3)

• 3.1. Systems of Linear Equations in Two Variables

• 3.2. Problem Solving: Systems of Two Linear Equations Containing Two Unknowns

• 3.3. Systems of Linear Equations in Three Variables

• 3.4. Using Matrices to Solve Systems

• 3.5. Determinants and Cramer’s Rule

• 3.6. Systems of Linear Inequalities

• Chapter 3 Activity: Find the Numbers

• Chapter 3 Review

• Chapter 3 Test

• Cumulative Review Chapters R–3

• Getting Ready for Chapter 4: Laws of Exponents and Scientific Notation

Polynomials and Polynomial Functions

• Putting the Concepts Together (Sections 4.1–4.3)

• 4.1. Adding and Subtracting Polynomials

• 4.2. Multiplying Polynomials

• 4.3. Dividing Polynomials; Synthetic Division

• 4.4. Greatest Common Factor; Factoring by Grouping

• 4.5. Factoring Trinomials

• 4.6. Factoring Special Products

• 4.7. Factoring: A General Strategy

• 4.8. Polynomial Equations

• Chapter 4 Activity: What Is the Question?

• Chapter 4 Review

• Chapter 4 Test

• Getting Ready for Chapter 5: A Review of Operations on Rational Numbers

Rational Expressions and Rational Functions

• Putting the Concepts Together (Sections 5.1–5.3)

• 5.1. Multiplying and Dividing Rational Expressions

• 5.2. Adding and Subtracting Rational Expressions

• 5.3. Complex Rational Expressions

• 5.4. Rational Equations

• 5.5. Rational Inequalities

• 5.6. Models Involving Rational Expressions

• 5.7. Variation

• Chapter 5 Activity: Correct the Quiz

• Chapter 5 Review

• Chapter 5 Test

• Cumulative Review Chapters R–5

• Getting Ready for Chapter 6: Square Roots

• Putting the Concepts Together (Sections 6.1–6.5)

• 6.1. nth Roots and Rational Exponents

• 6.2. Simplifying Expressions Using the Laws of Exponents

• 6.7. Radical Equations and Their Applications

• 6.8. The Complex Number System

• Chapter 6 Activity: Which One Does Not Belong?

• Chapter 6 Review

• Chapter 6 Test

• Putting the Concepts Together (Sections 7.1–7.3)

• 7.1. Solving Quadratic Equations by Completing the Square

• 7.3. Solving Equations Quadratic in Form

• 7.4. Graphing Quadratic Functions Using Transformations

• 7.5. Graphing Quadratic Functions Using Properties

• 7.6. Polynomial Inequalities

• Chapter 7 Activity: Presidential Decision Making

• Chapter 7 Review

• Chapter 7 Test

• Cumulative Review Chapters R–7

Exponential and Logarithmic Functions

• Putting the Concepts Together (Sections 8.1–8.3)

• 8.1. Composite Functions and Inverse Functions

• 8.2. Exponential Functions

• 8.3. Logarithmic Functions

• 8.4. Properties of Logarithms

• 8.5. Exponential and Logarithmic Equations

• Chapter 8 Activity: Correct the Quiz

• Chapter 8 Review

• Chapter 8 Test

Conics

• Putting the Concepts Together (Sections 9.1–9.5)

• 9.1. Distance and Midpoint Formulas

• 9.2. Circles

• 9.3. Parabolas

• 9.4. Ellipses

• 9.5. Hyperbolas

• 9.6. Systems of Nonlinear Equations

• Chapter 9 Activity: How Do You Know That . . . ?

• Chapter 9 Review

• Chapter 9 Test

• Cumulative Review: Chapters R–9

Sequences, Series, and the Binomial Theorem

• Putting the Concepts Together (Sections 10.1–10.3)

• 10.1. Sequences

• 10.2. Arithmetic Sequences

• 10.3. Geometric Sequences and Series

• 10.4. The Binomial Theorem

• Chapter 10 Activity: Discover the Relation

• Chapter 10 Review

• Chapter 10 Test

#### Photo Credits

• 出版者 ‏ : ‎ Pearson; 第4版 (2017年 1月 1日)

• 語言 ‏ : ‎ English

• Hardcover ‏ : ‎ 888 頁

• ISBN-10 ‏ : ‎ 0134555805

• ISBN-13 ‏ : ‎ 978-0134555805

• 商品重量 ‏ : ‎ 1.86 Kilograms

• 尺寸 ‏ : ‎ 22.48 x 4.45 x 28.32 cm

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