Loose Leaf Beginning Algebra

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

• ISBN13: 9780077401788
• ISBN10: 0077401786
• Edition: 3rd
• Format: Loose-leaf
• Copyright: 2010-01-15
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

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

Reference

Study Tips

Fractions

Decimals and Percents

Introduction to Geometry

Set of Real Numbers

Sets of Numbers and the Real Number Line

Fractions

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

Variations

Radicals

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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