Intermediate Algebra (Hardcover)

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

• ISBN13: 9780077349943
• ISBN10: 0077349946
• Edition: 3rd
• Format: Hardcover
• Copyright: 2010-01-07
• Publisher: McGraw-Hill Science Engineering

Summary

The revised exercise sets now include even more core exercises than were present in the second edition. This permits instructors to choose from a greater pool of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge to make a successful transition to the next level course.

Table of Contents

Linear Equations and Inequalities in One Variable

Linear Equations in One Variable

Problem Recognition Exercises: Equations versus Expressions

Applications of Linear Equations in One Variable

Applications to Geometry and Literal Equations

Linear Inequalities in One Variable

Compound Inequalities

Absolute Value Equations

Absolute Value Inequalities

Problem Recognition Exercises: Identifying Equations and Inequalities

Group Activity: Understanding the Symbolism of Mathematics

Summary

Review Exercises

Test

Linear Equations in Two Variables and Functions

Linear Equations in Two Variables

Slope of a Line and Rate of Change

Equations of a Line

Problem Recognition Exercises: Characteristics of Linear Equations

Applications of Linear Equations and Modeling

Introduction to Relations

Introduction to Functions

Graphs of Basic Functions

Problem Recognition Exercises: Characteristics of Relations

Group Activity: Deciphering a Coded Message

Summary

Review Exercises

Test

Cumulative Review Exercises

Systems of Linear Equations and Inequalities

Solving Systems of Linear Equations by the Graphing Method

Solving Systems of Linear Equations by the Substitution Method

Solving Systems of Linear Equations by the Addition Method

Problem Recognition Exercises: Solving Systems of Linear Equations

Applications of Systems of Linear Equations in Two Variables

Linear Inequalities and Systems of Linear Inequalities in Two Variables

Systems of Linear Equations in Three Variables and Applications

Solving Systems of Linear Equations by Using Matrices

Group Activity: Creating a Quadratic Model of the Form y = at2 + bt + c

Summary

Review Exercises

Test

Cumulative Review Exercises

Polynomials

Properties of Integer Exponents and Scientific Notation

Addition and Subtraction of Polynomials and Polynomial Functions

Multiplication of Polynomials

Division of Polynomials

Problem Recognition Exercises: Operations on Polynomials

Greatest Common Factor and Factoring by Grouping

Factoring Trinomials

Factoring Binomials

Problem Recognition Exercises: Factoring Summary

Solving Equations by Using the Zero Product Rule

Group Activity: Investigating Pascal’s Triangle

Summary

Review Exercises

Test

Cumulative Review Exercises

Rational Expressions and Rational Equations

Rational Expressions and Rational Functions

Multiplication and Division of Rational Expressions

Addition and Subtraction of Rational Expressions

Complex Fractions

Problem Recognition Exercises: Operations on Rational Expressions

Solving Rational Equationsv

Problem Recognition Exercises: Rational Equations vs. Expressions

Applications of Rational Equations and Proportions

Variation

Group Activity: Computing the Future Value of an Investment

Summary

Review Exercises

Test

Cumulative Review Exercises

Radicals and Complex Numbers

Definition of an nth Root

Rational Exponents

Simplifying Radical Expressions

Addition and Subtraction of Radicals

Multiplication of Radicals

Problem Recognition Exercises: Simplifying Radical Expressions

Division of Radicals and Rationalization

Solving Radical Equations

Complex Numbers

Group Activity: Margin of Error of Survey Results

Summary

Review Exercises

Test

Cumulative Review Exercises

Quadratic Equations and Functions

Square Root Property and Completing the Square

Quadratic Formula

Equations in Quadratic Form

Problem Recognition Exercises: Quadratic and Quadratic Type Equations

Graphs of Quadratic Functions

Vertex of a Parabola: Applications and Modeling

Nonlinear Inequalities

Problem Recognition Exercises: Recognizing Equations and Inequalities

Group Activity: Creating a Quadratic Model of the Form y = a(x - h)2 + k

Summary

Review Exercises

Test

Cumulative Review Exercises

Exponential and Logarithmic Functions and Applications

Algebra and Composition of Functions

Inverse Functions

Exponential Functions

Logarithmic Functions

Problem Recognition Exercises: Identifying Graphs of Functions

Properties of Logarithms

The Irrational Number and Change of Base

Problem Recognition Exercises: Logarithmic and Exponential Forms

Logarithmic and Exponential Equations and Applications

Group Activity: Creating a Population Model

Summary

Review Exercises

Test

Cumulative Review Exercises

Conic Sections

Distance Formula, Midpoint Formula, and Circles

More on the Parabola

The Ellipse and Hyperbola

Problem Recognition Exercises: Formulas and Conic Sections

Nonlinear Systems of Equations in Two Variables

Nonlinear Inequalities and Systems of Inequalities

Group Activity: Investigating the Graphs of Conic Sections on a Calculator

Summary

Review Exercises

Test

Cumulative Review Exercises

Binomial Expansions, Sequences, and Series

Binomial Expansions

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

Problem Recognition Exercises: Identifying Arithmetic and Geometric Sequences

Group Activity: Investigating Mean and Standard Deviation

Summary

Review Exercises

Test

Cumulative Review Exercises

Additional Topics Appendix

Determinants and Cramer’s Rule

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