Beginning and Intermediate Algebra with MathZone / Edition 1

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Overview

Hall and Mercer's text is intended for schools that want a single book covering the standard topics from elementary algebra through intermediate algebra. The text is fully integrated, rather than being simply the joining of two, separate texts. Topics are organized not following the historical pattern, but by using as the guiding principles, the AMATYC standards as outlined in Crossroads in Mathematics. Beginning And Intermediate Algebra: The Language And Symbolism Of Mathematics is oriented toward recent reforms in college level mathematics curricula.
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Product Details

  • ISBN-13: 9780073047812
  • Publisher: McGraw-Hill Companies, The
  • Publication date: 8/28/2004
  • Edition description: Older Edition
  • Edition number: 1
  • Product dimensions: 8.20 (w) x 10.20 (h) x 1.50 (d)

Meet the Author

James Hall
James Hall

JAMES W. HALL is an Edgar and Shamus Award–winning author whose books have been translated into a dozen languages. He has written four books of poetry, a collection of short fiction, and a collection of essays. This is his fifteenth novel. He and his wife, Evelyn, divide their time between South Florida and North Carolina.

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Table of Contents

Hall-Mercer, Beginning & Intermediate Algebra: The Language and Symbolism of Mathematics.
TABLE OF CONTENTS
Chapter One OPERATIONS WITH REAL NUMBERS
1.1 The Real Number Line
1.2 Addition of Real Numbers
1.3 Subtraction of Real Numbers
1.4 Multiplication of Real Numbers
1.5 Division of Real Numbers
1.6 Exponents and Order of Operations
Chapter Group Project
Chapter Two LINEAR EQUATIONS AND PATTERNS
2.1 The Rectangular Coordinate System and Arithmetic Sequences
2.2 Function Notation and Linear Functions
2.3 Graphs of Linear Equations in Two Variables
2.4 Solving Linear Equations In One Variable Using the Addition-Subtraction Principle
2.5 Solving Linear Equations In One Variable Using the Multiplication-Division Principle
2.6 Ratios, Proportions, and Direct Variation
2.7 Solving for a Specified Variable
Chapter Group Project
Chapter Three LINES AND SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES
3.1 Slope of a Line and Applications of Slope
3.2 Special Forms of Linear Equations In Two Variables
3.3 Solving Systems of Linear Equations In Two Variables Graphically and Numerically
3.4 Solving Systems of Linear Systems In Two Variables by the Substitution Method
3.5 Solving Systems of Linear Systems In Two Variables by the Addition Method
3.6 More Applications of Linear Systems
Chapter Group Project
Chapter Four LINEAR INEQUALITIES AND SYSTEMS OF LINEAR INEQUALITIES
4.1 Solving Linear Inequalities Using the Addition-Subtraction Principle
4.2 Solving Linear Inequalities Using the Multiplication-Division Principle
4.3 Solving Compound Inequalities
4.4 Solving Absolute Value Equations and Inequalities
4.5Graphing Systems of Linear Inequalities
Chapter Group Project
Chapter Five EXPONENTS AND OPERATIONS WITH POLYNOMIALS
5.1 Product and Power Rules for Exponents
5.2 Quotient Rule and Zero Exponents
5.3 Negative Exponents and Scientific Notation
5.4 Adding and Subtracting Polynomials
5.5 Multiplying Polynomials
5.6 Using Division to Factor Polynomials
5.7 Special Products and Factors
Chapter Group Project
Chapter Six USING COMMON ALGEBRAIC FUNCTIONS
6.1 Functions and Representations of Functions
6.2 Linear and Absolute Value Functions
6.3 Quadratic, Square Root, Cubic and Cube Root Functions
6.4 Horizontal and Vertical Translations of Functions (Optional)
6.5 Stretching, Shrinking, and Reflecting Graphs of Functions (Optional)
6.6 Curve Fitting---Selecting a Formula that Best Fits a Set of Data (Optional)
6.7 Linear Factors of a Polynomial, Zeros of a Polynomial Function, and x-intercepts of a Graph
Chapter Group Project
Chapter Seven ANOTHER LOOK AT FACTORING POLYNOMIALS
7.1 Factoring Trinomials of the Form
7.2 Factoring Trinomials of the Form
7.3 Factoring Special Forms
7.4 Factoring by Grouping and a General Strategy for Factoring Polynomials
7.5 Solving Equations by Factoring
Group Project
Chapter Eight RADICAL EXPRESSIONS, COMPLEX NUMBERS, AND QUADRATIC EQUATIONS
8.1 Rational Exponents and Radicals
8.2 Addition of Radical Expressions
8.3 Multiplication and Division of Radical Expressions
8.4 Complex Numbers
8.5 Quadratic Equations and Inequalities
8.6 Equations with Radicals
8.7 More Applications of Quadratic Equations
Chapter Group Project
Chapter Nine RATIONAL FUNCTIONS AND EXPRESSIONS
9.1 Rational Functions and Reducing Rational Expressions
9.2 Multiplication and Division of Rational Expressions
9.3 Addition and Subtraction of Rational Expressions
9.4 Combining Operations and Simplifying Complex Rational Expressions
9.5 Solving Equations Containing Rational Expressions
9.6 Applications Yielding Equations with Fractions
Chapter Group Project
Chapter Ten EXPONENTIAL AND LOGARITHMIC FUNCTIONS
10.1 Geometric Sequences and Exponential Functions
10.2 Inverse Functions
10.3 Logarithmic Functions
10.4 Evaluating Logarithms
10.5 Properties of Logarithms
10.6 Exponential and Logarithmic Equations
10.7 Applications of Exponential and Logarithmic Equations
Chapter Group Project
Chapter Eleven A PREVIEW OF COLLEGE ALGEBRA
11.1 Algebra of Functions
11.2 Sequences, Series, and Summation Notation
11.3 Solving Systems of Linear Equations Using Augmented Matrices
11.4 Systems of Linear Equations in Three Variables
11.5 Conic Sections
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