Intermediate Algebra with Mathzone

Miller/O'Neill Intermediate Algebra is an insightful text written by instructors who have first-hand experience with students of developmental mathematics. The authors introduce functions in Chapter 3 and do a very thorough treatment, devoting the entire chapter to the concept of functions. With such a solid foundation to build from, students will experience greater success when they encounter other function-related topics in later chapters, such as polynomial functions; quadratic functions; radical functions; and others. The authors have crafted the exercise sets with the idea of infusing review. In each set of practice exercises, instructors will find a set of exercises that help students to review concepts previously learned, and in this way, students will retain more of what they have learned. The exercise sets also contain "translation" exercises which provide students with an opportunity to convert from English phrases to mathematical symbols and from mathematical symbols to English phrases, thus helping students to strengthen their command of mathematical language.Moreover, the applications found in the exercise sets are based on real-world data, which helps to promote students' interest in mathematics, and in turn, may serve to motivate and engage them. Other features include mid-chapter reviews and classroom activities (classroom activities are worksheets that can be downloaded from the OLC or distributed by instructors since the classroom activities can be found in the IRM as well). The classroom activities are of special value, in that through their use, students may begin to take greater ownership over their own learning. The classroom activities were designed to be quick activities students could perform in class (either individually, or collaboratively in groups). In short, the Miller/O'Neill Intermediate Algebra text offers enriching applications, a high level of readability, and excellent opportunities for students to become actively engaged in their exploration of mathematics.

Table of Contents:
1 Review of Basic Algebraic ConceptsSets of Numbers and Interval NotationOperations on Real Numbers Simplifying ExpressionsLinear Equations in One VariableMidchapter ReviewApplications of Linear Equations in One VariableLiteral Equations and Applications to GeometryLinear Inequalities in One Variable2 Linear Equations in Two and Three VariablesLinear Equations in Two VariablesSlope of a LineEquations of a LineApplications of Linear Equations and GraphingMidchapter ReviewSystems of Linear Equations in Two VariablesApplications of Systems of Linear Equations in Two VariablesSystems of Linear Equations in Three VariablesSolving Systems of Linear Equations Using Matrices3 Introduction to Relations and FunctionsIntroduction to RelationsIntroduction to FunctionsGraphs of Basic FunctionsMidchapter ReviewAdditional Topics on FunctionsVariation4 PolynomialsProperties of Integer Exponents and Scientific NotationPolynomial Functions and ApplicationsAddition and Subtraction of Polynomials Midchapter ReviewMultiplication of Polynomials Division of PolynomialsSynthetic Division5 Radicals and Complex NumbersDefinition of an nth-RootRational ExponentsProperties of RadicalsMidchapter ReviewAddition and Subtraction of RadicalsMultiplication of Radicals RationalizationRadical EquationsComplex Numbers6 Factoring and Quadratic Functions Greatest Common Factor and Factoring by GroupingFactoring TrinomialsFactoring BinomialsMidchapter Review: A Factoring StrategyZero Product RuleCompleting the Square and the Square Root PropertyQuadratic FormulaEquations in Quadratic Form7 Quadratic Functions and Nonlinear Systems Graphs of Quadratic FunctionsApplications of Quadratic FunctionsMidchapter ReviewDistance Formula and CirclesNonlinear Systems of Equations in Two Variables8 Rational ExpressionsIntroduction to Rational FunctionsMultiplication and Division of Rational ExpressionsAddition and Subtraction of Rational ExpressionsMidchapter ReviewComplex FractionsRational EquationsApplications of Rational Equations and Proportions9 More Equations and Inequalities Compound InequalitiesPolynomial and Rational InequalitiesMidchapter ReviewAbsolute Value EquationsAbsolute Value InequalitiesLinear Inequalities in Two Variables10 Exponential and Logarithmic FunctionsExponential FunctionsLogarithmic FunctionsProperties of LogarithmsThe Irrational Number, eMidchapter ReviewExponential and Logarithmic Equations