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# Intermediate Algebra, 4th edition

Published by Pearson (August 1, 2021) © 2018

**Michael Sullivan**Chicago State University**Katherine R. Struve**

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**ISBN-13: 9780137517350**

Intermediate Algebra

Published 2021

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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".

## Table of Contents

**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

**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

**Relations, Functions, and More Inequalities**- 2.1. Relations
- 2.2. An Introduction to Functions
- 2.3. Functions and Their Graphs
- Putting the Concepts Together (Sections 2.1–2.3)

- 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**- 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
- Putting the Concepts Together (Sections 3.1–3.3)

- 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**- 4.1. Adding and Subtracting Polynomials
- 4.2. Multiplying Polynomials
- 4.3. Dividing Polynomials; Synthetic Division
- Putting the Concepts Together (Sections 4.1–4.3)

- 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**- 5.1. Multiplying and Dividing Rational Expressions
- 5.2. Adding and Subtracting Rational Expressions
- 5.3. Complex Rational Expressions
- Putting the Concepts Together (Sections 5.1–5.3)

- 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

**Radicals and Rational Exponents**- 6.1. nth Roots and Rational Exponents
- 6.2. Simplifying Expressions Using the Laws of Exponents
- 6.3. Simplifying Radical Expressions Using Properties of Radicals
- 6.4. Adding, Subtracting, and Multiplying Radical Expressions
- 6.5. Rationalizing Radical Expressions
- Putting the Concepts Together (Sections 6.1–6.5)

- 6.6. Functions Involving Radicals
- 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

**Quadratic Equations and Functions**- 7.1. Solving Quadratic Equations by Completing the Square
- 7.2. Solving Quadratic Equations by the Quadratic Formula
- 7.3. Solving Equations Quadratic in Form
- Putting the Concepts Together (Sections 7.1–7.3)

- 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**- 8.1. Composite Functions and Inverse Functions
- 8.2. Exponential Functions
- 8.3. Logarithmic Functions
- Putting the Concepts Together (Sections 8.1–8.3)

- 8.4. Properties of Logarithms
- 8.5. Exponential and Logarithmic Equations
- Chapter 8 Activity: Correct the Quiz
- Chapter 8 Review
- Chapter 8 Test

**Conics**- 9.1. Distance and Midpoint Formulas
- 9.2. Circles
- 9.3. Parabolas
- 9.4. Ellipses
- 9.5. Hyperbolas
- Putting the Concepts Together (Sections 9.1–9.5)

- 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**- 10.1. Sequences
- 10.2. Arithmetic Sequences
- 10.3. Geometric Sequences and Series
- Putting the Concepts Together (Sections 10.1–10.3)

- 10.4. The Binomial Theorem
- Chapter 10 Activity: Discover the Relation
- Chapter 10 Review
- Chapter 10 Test

#### Answers to Selected Exercises

#### Applications Index

#### Subject Index

#### Photo Credits

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