Preliminary Edition of Beginning and Intermediate Algebra

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  • Edition: 1st
  • Format: Paperback
  • Copyright: 2006-07-17
  • Publisher: McGraw-Hill Science/Engineering/Math
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Table of Contents

The Real Number System and Geometry
Review of Fractions
Exponents and Order of Operations
Geometry Review
Sets of Numbers and Absolute Value
Addition and Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Algebraic Expressions and Properties of Real Numbers Chapter 1 Summary Chapter 1 Review Chapter 1 Test 2 Variables and Exponents
Simplifying Expressions
a) The Product Rule and Power Rules for Exponents b) Combining the Rules
a) Integer Exponents With Real-Number Bases
b) Integer Exponents With Variable Bases
The Quotient Rule SUMMARY EXERCISES: Putting All the Rules Together
Scientific Notation Chapter
Summary Chapter 2 Review Chapter 2 Test Cumulative Review – Ch. 1 & 2 3 Linear Equations and Inequalities
Solving Linear Equations –
3.2 Solving Linear Equations –
Applications of Linear Equations to General Problems, Consecutive Integers, and Fixed and Variable Cost
Applications of Linear Equations to Percent Increase/Decrease and Investment Problems
Geometry Applications and Solving Formulas for a Specific Variable
Applications of Linear Equations to Proportions, d=rt, and Mixture Problems
Solving Linear Inequalities in One Variable
Solving Compound Inequalities Chapter 3 Summary Chapter 3 Review Chapter 3 Test Cumulative Review – Ch. 1 – 3
Linear Equations in Two Variables
Introduction to Linear Equations in Two Variables
Graphing by Plotting Points and Finding Intercepts
The Slope of a Line
The Slope-Intercept Form of a Line
Writing an Equation of a Line
Parallel and Perpendicular Lines Chapter 4 Summary Chapter 4 Review Chapter 4 Test Cumulative Review – Ch. 1 – 4
Solving Systems of Linear Equations
Solving Systems by Graphing
Solving Systems by Substitution
Solving Systems by the Addition Method Summary Exercises
Applications of Systems of Two Equations Chapter 5 Summary Chapter 5 Review Chapter 5 Test Cumulative Review – Ch. 1 – 5
Review of Rules of Exponents
Addition and Subtraction of Polynomials
Multiplication of Polynomials SUMMARY EXERCISES
Division of Polynomials Chapter 6 Summary Chapter 6 Review Chapter 6 Test Cumulative Review – Ch. 1 – 6
Factoring Polynomials
The Greatest Common Factor and Factoring by Grouping
Factoring Trinomials of the Form x2 + bx + c
Factoring Trinomials of the Form ax2 + bx + c (x 1)
Factoring Binomials and Perfect Square Trinomials SUMMARY EXERCISES
Solving Quadratic Equations by Factoring
Applications of Quadratic Equations Chapter 7 Summary Chapter 7 Review Chapter 7 Test Cumulative Review – Ch. 1 – 7
Rational Expressions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Finding the Least Common Denominator
Adding and Subtracting Rational Expressions SUMMARY EXERCISES
Simplifying Complex Fractions
Solving Equations Containing Rational Expressions SUMMARY EXERCISES
Applications Chapter 8 Summary Chapter 8 Review Chapter 8 Test Cumulative Review – Ch. 1 – 8
Absolute Value Equations and Inequalities and More on Solving Systems
Solving Absolute Value Equations
Solving Absolute Value Inequalities
Linear Inequalities in Two Variables
Systems of Linear Equations in Three Variables
Solving Systems Using Gaussian Reduction Chapter 9 Summary Chapter 9 Review Chapter 9 Test Cumulative Review – Ch. 1 – 9
Radicals and Rational Exponents
Finding Roots
Rational Exponents
Simplifying Expressions Containing Square Roots
Simplifying Expressions Containing Higher Roots
Adding and Subtracting Radicals
Combining Multiplication, Addition, and Subtraction of Radicals
Dividing Radicals
Solving Radical Equations Chapter 10 Summary Chapter 10 Review Chapter 10 Test Cumulative Review – Ch. 1 – 10
Quadratic Equations
Review of Solving Equations by Factoring
Solving Quadratic Equations Using the Square Root Property
Complex Numbers
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations Using the Quadratic Formula SUMMARY EXERCISES
Equations in Quadratic Form
Formulas and Applications Chapter 11 Summary Chapter 11 Review Chapter 11 Test Cumulative Review Ch. 1 – 11
Functions and their Graphs
Relations and Functions
Function Notation and Linear Functions
Graphs of Other Functions
Transformations of Graphs
Quadratic Functions and their Graphs
Applications of Quadratic Functions and Graphing Other Parabolas Summary Exercises
The Algebra of Functions
Variation Chapter 12 Summary Chapter 12 Review Chapter 12 Test Cumulative Review – Ch. 1 – 12
Inverse, Exponential, and Logarithmic Functions
Inverse Functions
Exponential Functions
Logarithmic Functions Summary Exercises
Properties of Logarithms
Common and Natural Logarithms and Change of Base
Solving Exponential and Logarithmic Equations Chapter 13 Summary Chapter 13 Review Chapter 13 Test Cumulative Review – Ch. 1 – 13
Conic Sections, Nonlinear Inequalities, and Nonlinear Systems
Review of Parabolas
The Circle
The Ellipse and the Hyperbola SUMMARY EXERCISES
Nonlinear Systems of Equations
Quadratic and Rational Inequalities
Second – Degree Inequalities and Systems of Inequalities Chapter 14 Summary Chapter 14 Review Chapter 14 Test Cumulative Review – Ch. 1 – 14
Sequences and Series
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem Chapter 15 Summary Chapter 15 Review Chapter 15 Test Cumulative Review – Ch. 1 – 15
Beginning Algebra Review
Synthetic Division
Determinants and Cramer’s Rule
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