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Summary
The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning Algebra3e. 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, which 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, and this helps to reinforce the 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-solving 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 previous edition. This permits instructors to choose from a wealth 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 College 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
R Reference
R.1 Study Tips
R.2 Fractions
R.3 Decimals and Percents
R.4 Introduction to Geometry
1 Set of Real Numbers
1.1 Sets of Numbers and the Real Number Line
1.2 Order of Operations
1.3 Addition of Real Numbers
1.4 Subtraction of Real Numbers
1.5 Multiplication and Division of Real Numbers
1.6 Properties of Real Numbers and Simplifying Expressions
2 Linear Equations and Inequalities
2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality
2.2 Solving Linear Equations
2.3 Linear Equations: Clearing Fractions and Decimals
2.4 Applications of Linear Equations: Introduction to Problem Solving
2.5 Applications Involving Percents
2.6 Formulas and Applications of Geometry
2.7 Linear Inequalities
3 Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System
3.2 Linear Equations in Two Variables
3.3 Slope of a Line
3.4 Slope-Intercept Form of a Line
3.5 Point-Slope Formula
3.6 Applications of Linear Equations
4 Systems of Linear Equations and Inequalities in Two Variables
4.1 Solving Systems of Equations by the Graphing Method
4.2 Solving Systems of Equations by the Substitution Method
4.3 Solving Systems of Equations by the Addition Method
4.4 Applications of Linear Equations in Two Variables
4.5 Linear Inequalities in Two Variables
4.6 Systems of Linear Inequalities in Two Variables
5 Polynomials and Properties of Exponents
5.1 Exponents: Multiplying and Dividing Common Bases
5.2 More Properties of Exponents
5.3 Definitions of b^0 and b^-n
5.4 Scientific Notation
5.5 Addition and Subtraction of Polynomials
5.6 Multiplication of Polynomials
5.7 Division of Polynomials
6 Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x^2+ bx+ c(optional)
6.3 Factoring Trinomials: Trial-and-Error Method
6.4 Factoring Trinomials: AC-Method
6.5 Factoring Binomials
6.6 General Factoring Summary
6.7 Solving Equations Using the Zero Product Rule
7 Rational Expressions
7.1 Introduction to Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
7.5 Complex Fractions
7.6 Rational Equations
7.7 Applications of Rational Equations and Proportions
7.8 Variations
8 Radicals
8.1 Introducion to Roots and Radicals
8.2 Simplifying Radicals
8.3 Addition and Subtraction of Radicals
8.4 Multiplication of Radicals
8.5 Rationalization
8.6 Radical Equations
8.7 Rational Exponents
9 Functions, Complex Numbers, and Quadratic Equations
9.1 Introduction to Functions
9.2 Complex Numbers
9.3 The Square Root Property and Completing the Square