Intermediate Algebra, 06th Edition

✍ Scribed by Julie Miller, Molly O’Neill, and Nancy Hyde

• Publisher: McGraw Hill
• Year: 2023
• Tongue: English
• Leaves: 1068
• Edition: 6
• Category: Library

✦ Synopsis

The 6th Edition of Intermediate Algebra continues the Miller/O'Neill/Hyde author team’s approach in addressing the needs of developmental level students to help them get better results. Content updates include new end-of-section activities, prerequisite review exercises, and new study skills videos.

This new edition is available in ALEKS 360. In a single platform, ALEKS provides a balance of adaptive practice for skill mastery and homework, tests, and quizzes for application and assessment so that you can create the assignments your students need to have the best outcome in your course. In addition to content updates to the text, we are continuously adding new features to ALEKS 360–including new video assignments, an enhanced gradebook experience, end-of-chapter questions aligned to the text, and more.

✦ Table of Contents

Cover
Title Page
Copyright Page
About the Authors
Acknowledgments
Contents
Chapter R Review of Basic Algebraic Concepts
R.1 Sets of Numbers and Interval Notation
R.2 Operations on Real Numbers
R.3 Simplifying Algebraic Expressions
Chapter R Summary
Chapter R Review Exercises
Chapter R Test
Chapter 1 Linear Equations and Inequalities in One Variable
1.1 Linear Equations in One Variable
Problem Recognition Exercises: Equations Versus Expressions
1.2 Applications of Linear Equations in One Variable
1.3 Applications to Geometry and Literal Equations
1.4 Linear Inequalities in One Variable
1.5 Compound Inequalities
1.6 Absolute Value Equations
1.7 Absolute Value Inequalities
Problem Recognition Exercises: Identifying Equations and Inequalities
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Test
Chapter 2 Linear Equations in Two Variables and Functions
2.1 Linear Equations in Two Variables
2.2 Slope of a Line and Rate of Change
2.3 Equations of a Line
Problem Recognition Exercises: Characteristics of Linear Equations
2.4 Applications of Linear Equations and Modeling
2.5 Introduction to Relations
2.6 Introduction to Functions
2.7 Graphs of Functions
Problem Recognition Exercises: Characteristics of Relations
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Chapter 3 Systems of Linear Equations and Inequalities
3.1 Solving Systems of Linear Equations by the Graphing Method
3.2 Solving Systems of Linear Equations by the Substitution Method
3.3 Solving Systems of Linear Equations by the Addition Method
Problem Recognition Exercises: Solving Systems of Linear Equations
3.4 Applications of Systems of Linear Equations in Two Variables
3.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables
3.6 Systems of Linear Equations in Three Variables and Applications
3.7 Solving Systems of Linear Equations by Using Matrices
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Chapter 4 Polynomials
4.1 Properties of Integer Exponents and Scientific Notation
4.2 Addition and Subtraction of Polynomials and Polynomial Functions
4.3 Multiplication of Polynomials
4.4 Division of Polynomials
Problem Recognition Exercises: Operations on Polynomials
4.5 Greatest Common Factor and Factoring by Grouping
4.6 Factoring Trinomials
4.7 Factoring Binomials
Problem Recognition Exercises: Factoring Summary
4.8 Solving Equations by Using the Zero Product Rule
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Test
Chapter 5 Rational Expressions and Rational Equations
5.1 Rational Expressions and Rational Functions
5.2 Multiplication and Division of Rational Expressions
5.3 Addition and Subtraction of Rational Expressions
5.4 Complex Fractions
Problem Recognition Exercises: Operations on Rational Expressions
5.5 Solving Rational Equations
Problem Recognition Exercises: Rational Equations vs. Expressions
5.6 Applications of Rational Equations and Proportions
5.7 Variation
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Chapter 6 Radicals and Complex Numbers
6.1 Definition of an nth Root
6.2 Rational Exponents
6.3 Simplifying Radical Expressions
6.4 Addition and Subtraction of Radicals
6.5 Multiplication of Radicals
6.6 Division of Radicals and Rationalization
Problem Recognition Exercises: Operations on Radicals
6.7 Solving Radical Equations
6.8 Complex Numbers
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test
Chapter 7 Quadratic Equations and Functions
7.1 Square Root Property and Completing the Square
7.2 Quadratic Formula
7.3 Equations in Quadratic Form
Problem Recognition Exercises: Quadratic and Quadratic Type Equations
7.4 Graphs of Quadratic Functions
7.5 Vertex of a Parabola: Applications and Modeling
7.6 Polynomial and Rational Inequalities
Problem Recognition Exercises: Recognizing Equations and Inequalities
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Test
Chapter 8 Exponential and Logarithmic Functions and Applications
8.1 Algebra of Functions and Composition
8.2 Inverse Functions
8.3 Exponential Functions
8.4 Logarithmic Functions
Problem Recognition Exercises: Identifying Graphs of Functions
8.5 Properties of Logarithms
8.6 The Irrational Number e and Change of Base
Problem Recognition Exercises: Logarithmic and Exponential Forms
8.7 Logarithmic and Exponential Equations and Applications
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Test
Chapter 9 Conic Sections
9.1 Distance Formula, Midpoint Formula, and Circles
9.2 More on the Parabola
9.3 The Ellipse and Hyperbola
Problem Recognition Exercises: Formulas and Conic Sections
9.4 Nonlinear Systems of Equations in Two Variables
9.5 Nonlinear Inequalities and Systems of Inequalities in Two Variables
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Test
Chapter 10 Binomial Expansions, Sequences, and Series
10.1 Binomial Expansions
10.2 Sequences and Series
10.3 Arithmetic Sequences and Series
10.4 Geometric Sequences and Series
Problem Recognition Exercises: Identifying Arithmetic and Geometric Sequences
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Test
Additional Topics Appendix
A.1 Determinants and Cramer’s Rule
Student Answer Appendix
Index
Formula Charts