Loose Leaf Beginning Algebra

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  • Edition: 3rd
  • Format: Loose-leaf
  • Copyright: 2010-01-15
  • Publisher: McGraw-Hill Science/Engineering/Math
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Beginning Algebra3/e by Miller/O'Neill continues to offer an enlightened approach grounded in the fundamentals of classroom experience. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the textbook. Throughout the text the authors have integrated many Study Tips and Avoiding Mistakes hints that are reflective of the comments and instruction presented to students in the classroom. In this way the text communicates to students the very points their instructors are likely to make during lecture, helping to reinforce concepts and provide instruction that leads students to mastery and success. The authors included in this edition Problem-Recognition exercises that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students. The intent of the Problem-Recognition exercises is to help students overcome what is sometimes a natural inclination toward applying problem-sovling algorithms that may not always be appropriate. In addition, the exercise sets have been revised to include even more core exercises than were present in the first 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 they need to make a successful transition into Intermediate Algebra. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture that students will feel as comfortable outside of class, as they do inside class with their instructor. For even more support, students have access to a wealth of supplements, including McGraw-Hill's online homework management system, MathZone.

Table of Contents

Study Tips
Decimals and Percents
Introduction to Geometry
Set of Real Numbers
Sets of Numbers and the Real Number Line
Order of Operations
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Properties of Real Numbers and Simplifying Expressions
Linear Equations and Inequalities
Addition, Subtraction, Multiplication, and Division Properties of Equality
Solving Linear Equations
Linear Equations: Clearing Fractions and Decimals
Applications of Linear Equations: Introduction to Problem Solving
Applications Involving Percents
Formulas and Applications of Geometry
Mixture Applications and Uniform Motion
Linear Inequalities
Graphing Linear Equations in Two Variables
Rectangular Coordinate System
Linear Equations in Two Variables
Slope of a Line and Rate of Change
Slope-Intercept Form of a Line
Point-Slope Formula
Applications of Linear Equations and Modeling
Systems of Linear Equations
Solving Systems of Equations by the Graphing Method
Solving Systems of Equations by the Substitution Method
Solving Systems of Equations by the Addition Method
Applications of Linear Equations in Two Variables
Linear Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
Polynomials and Properties of Exponents
Exponents: Multiplying and Dividing Common Bases
More Properties of Exponents
Definitions of b^0 and b^-n
Scientific Notation
Addition and Subtraction of Polynomials
Multiplication of Polynomials and Special Products
Division of Polynomials
Factoring Polynomials
Greatest Common Factor and Factoring by Grouping
Factoring Trinomials of the Form x^2+ bx+ c(optional)
Factoring Trinomials: Trial-and-Error Method
Factoring Trinomials: AC-Method
Difference of Squares and Perfect Square Trinomials
Sum and Difference of Cubes
Solving Equations Using the Zero Product Rule
Applications Using the Zero Product Rule
Rational Expressions
Introduction to Rational Expressions
Multiplication and Division of Rational Expressions
Least Common Denominator
Addition and Subtraction of Rational Expressions
Complex Fractions
Rational Equations
Applications of Rational Equations and Proportions
Introducion to Roots and Radicals
Simplifying Radicals
Addition and Subtraction of Radicals
Multiplication of Radicals
Division of Radicals and Rationalization
Radical Equations
Rational Exponents
Quadratic Equations, Complex Numbers, and Functions
The Square Root Property
Completing the Square
Quadratic Formula
Complex Numbers
Graphing Quadratic Equations
Introduction to Functions
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