# 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
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
• 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
2. 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
3. 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
4. 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
5. 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
6. 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
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
8. 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
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

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