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Intermediate Algebra (Hardcover),9780077349943
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Intermediate Algebra (Hardcover)

by ; ;
Edition:
3rd
ISBN13:

9780077349943

ISBN10:
0077349946
Format:
Hardcover
Pub. Date:
1/7/2010
Publisher(s):
McGraw-Hill Science/Engineering/Math
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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
Table of Contents provided by Publisher. All Rights Reserved.


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