Loose Leaf Intermediate Algebra

by Miller, Julie; O'Neill, Molly; Hyde, Nancy

• ISBN13: 9780077401801
• ISBN10: 0077401808
• Edition: 3rd
• Format: Loose-leaf
• Copyright: 2010-01-19
• Publisher: McGraw-Hill Science Engineering

Table of Contents

Intermediate Algebra, Second Edition

Chapter 1: Review of Basic Algebraic Concepts

1.1 Sets of Numbers and Interval Notation

1.2 Operations on Real Numbers

1.3 Simplifying Expressions

1.4 Linear Equations in One Variable

1.5 Applications of Linear Equations in One Variable

1.6 Literal Equations and Applications to Geometry

1.7 Linear Inequalities in One Variable

1.8 Properties of Integer Exponents and Scientific Notation

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

Chapter 2: Linear Equations in Two Variables

2.1 The Rectangular Coordinate System and Midpoint Formula

2.2 Linear Equations in Two Variables

2.3 Slope of a Line

2.4 Equations of a Line

2.5 Applications of Linear Equations and Graphing

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Cumulative Review Exercises, Chapters 1 – 2

Chapter 3: Systems of Linear Equations

3.1 Solving Systems of Linear Equations by Graphing

3.2 Solving Systems of Equations by Using the Substitution Method

3.3 Solving Systems of Equations by Using the Addition Method

3.4 Applications of Systems of Linear Equations in Two Variables

3.5 Systems of Linear Equations in Three Variables and Applications

3.6 Solving Systems of Linear Equations by Using Matrices

3.7 Determinants and Cramer’s Rule

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Cumulative Review Exercises, Chapters 1 – 3

Chapter 4: Introduction to Relations and Functions

4.1 Introduction to Relations

4.2 Introduction to Functions

4.3 Graphs of Functions

4.4 Variation

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Cumulative Review Exercises, Chapters 1 – 4

Chapter 5:Polynomials

5.1 Addition and Subtraction of Polynomials and Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Division of Polynomials

Problem Recognition Exercises – Operations on Polynomials

5.4 Greatest Common Factor and Factoring by Grouping

5.5 Factoring Trinomials

5.6 Factoring Binomials

5.7 Additional Factoring Strategies

5.8 Solving Equations by Using the Zero Product Rule

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Cumulative Review Exercises, Chapters 1 – 5

Chapter 6:Rational Expressions and Rational Equations

6.1 Rational Expressions and Rational Functions

6.2 Multiplication and Division of Rational Expressions

6.3 Addition and Subtraction of Rational Expressions

6.4 Complex Fractions

Problem Recognition Exercises – Operations on Rational Expressions

6.5 Rational Equations

6.6 Applications of Rational Equations and Proportions

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Cumulative Review Exercises, Chapters 1 – 6

Chapter 7: Radicals and Complex Numbers

7.1 Definition of an nth Root

7.2 Rational Exponents

7.3 Simplifying Radical Expressions

7.4 Addition and Subtraction of Radicals

7.5 Multiplication of Radicals

7.6 Rationalization

7.7 Radical Equations

7.8 Complex Numbers

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Chapter 8: Quadratic Equations and Functions

8.1 Square Root Property and Completing the Square

8.2 Quadratic Formula

8.3 Equations in Quadratic Form

8.4 Graphs of Quadratic Functions

8.5 Vertex of a Parabola and Applications

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Cumulative Review Exercises, Chapters 1 - 8

Chapter 9: More Equations and Inequalities

9.1 Compound Inequalities

9.2 Polynomial and Rational Inequalities

9.3 Absolute Value Equations

9.4 Absolute Value Inequalities

Problem Recognition – Equations and Inequalities

9.5 Linear Inequalities in Two Variables

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Cumulative Review Exercises, Chapters 1 - 9

Chapter 10: Exponential and Logarithmic Functions

10.1 Algebra and Composition of Functions

10.2 Inverse Functions

10.3 Exponential Functions

10.4 Logarithmic Functions

10.5 Properties of Logarithms

10.6 The Irrational Number e

Problem Recognition – Logarithmic and Exponential Forms

10.7 Logarithmic and Exponential Equations

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Test

Cumulative Review Exercises, Chapters 1 - 10

Chapter 11: Conic Sections

11.1 Distance Formula and Circles

11.2 More on the Parabola

11.3 The Ellipse and Hyperbola

11.4 Nonlinear Systems of Equations in Two Variables

11.5 Nonlinear Inequalities and Systems of Inequalities

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Test

Cumulative Review Exercises, Chapters 1 – 11

Appendix

A.1 Binomial Expansions

A.2 Sequences and Series

A.3 Arithmetic and Geometric Sequences and Series