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The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Introductory Algebra. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate 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. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. 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.
Table of Contents
Introductory Algebra, 3rd Edition
R.1 Study TipsR.2 FractionsR.3 Decimals and PercentsR.4 Introduction to Geometry
1 The Set of Real Numbers
1.1 Introduction to Algebra and the Set of Real Numbers1.2 Exponents, Square Roots, and the Order of Operations1.3 Addition of Real Numbers1.4 Subtraction of Real Numbers PRE: Addition and Subtraction of Real Numbers1.5 Multiplication and Division of Real Numbers1.6 Properties of Real Numbers and Simplifying Expressions Group Activity: Evaluating Formulas Using a Calculator
2 Linear Equations and Inequalities
2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality2.2 Solving Linear Equations2.3 Linear Equations: Clearing Fractions and Decimals PRE: Equations and Expressions2.4 Applications of Linear Equations:Introduction to Problem Solving2.5 Applications Involving Percents2.6 Literal Equations and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear Inequalities Group Activity: Computing Body Mass Index (BMI)
3 Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation PRE: Linear Equations in Two Variables3.5 Point-Slope Formula3.6 Applications of Linear Equations and Modeling Group Activity: Modeling a Linear Equation
4 Systems of Linear Equations in Two Variables
4.1 Solving Systems of Equations by the Graphing Method4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method PRE: Systems of Equations4.4 Applications of Linear Inequalities in Two Variables4.5 Linear Inequalities and Systems of Inequalities in Two Variables Group Activity: Creating Linear Models from Data
5 Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases5.2 More Properties of Exponents5.3 Definitions of b^0 and b^-n PRE: Properties of Exponents5.4 Scientific Notation5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials and Special Products5.7 Division of Polynomials PRE: Operations on Polynomials Group Activity: The Pythagorean Theorem and a Geometric 'Proof'
6 Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the Form x^2 + bx + c6.3 Factoring Trinomials: Trial and Error Method6.4 Factoring Trinomials: A-C Method6.5 Difference of Squares and Perfect Square Trinomials6.6 Sum and Difference of Cubes PRE: Factoring Strategy6.7 Solving Equations Using the Zero Product Rule PRE: Polynomial Expressions versus Polynomial Equations6.8 Applications of Quadratic Equations Group Activity: Building a Factoring Test
7 Rational Expressions and Equations
7.1 Introduction to Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions PRE: Operations on Rational Expressions7.5 Complex Fractions7.6 Rational Equations PRE: Comparing Rational Equations and Rational Expressions7.7 Applications of Rational Equations and Proportions7.8 Variation Group Activity: Computing Monthly Mortgage Payments
8.1 Introduction to Roots and Radicals8.2 Simplifying Radicals8.3 Addition and Subtraction of Radicals8.4 Multiplication of Radicals8.5 Division of Radicals and Rationalization PRE: Operations on Radicals8.6 Radicals Equations8.7 Rational Exponents Group Activity: Calculating Standard Deviation
9 More Quadratic Equations
9.1 The Square Root Property9.2 Completing the Square9.3 Quadratic Formula PRE: Solving Different Types of Equations9.4 Graphing Quadratic Equations9.5 Introduction to Functions Group Activity: Maximizing Volume