Intermediate algebra : an applied approach /
Aufmann, Richard.
Intermediate algebra : an applied approach / created by Richard N Aufmann, Vernon C Barker and Joanne S Lockwood. - Seventh edition - various pagination : illustrations (some coloured) ; 28 cm
Includes an index
Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, Review Exercises, and Test. Chapters 2-6 are followed by Cumulative Review Exercises.1. Review of Real Numbers Section 1.1 Introduction to Real NumbersSection 1.2 Operations on Rational NumbersSection 1.3 Variable ExpressionsSection 1.4 Verbal Expressions and Variable ExpressionsFocus on Problem Solving: Polya's Four-Step ProcessProjects and Group Activities: Water Displacement2. First-Degree Equations and Inequalities Section 2.1 Solving First-Degree EquationsSection 2.2 Applications: Puzzle ProblemsSection 2.3 Applications: Mixture and Uniform Motion ProblemsSection 2.4 First-Degree InequalitiesSection 2.5 Absolute Value Equations and InequalitiesFocus on Problem Solving: Understand the ProblemProjects and Group Activities: Electricity3. Linear Functions and Inequalities in Two Variables Section 3.1 The Rectangular Coordinate SystemSection 3.2 Introduction to FunctionsSection 3.3 Linear FunctionsSection 3.4 Slope of a Straight LineSection 3.5 Finding Equations of LinesSection 3.6 Parallel and Perpendicular LinesSection 3.7 Inequalities in Two VariablesFocus on Problem Solving: Find a PatternProjects and Group Activities: Evaluating a Function with a Graphing Calculator, Introduction to Graphing Calculators, Wind-Chill Index4. Systems of Equations and Inequalities Section 4.1 Solving Systems of Linear Equations by Graphing and by the Substitution MethodSection 4.2 Solving Systems of Linear Equations by the Addition MethodSection 4.3 Solving Systems of Equations by Using DeterminantsSection 4.4 Application ProblemsSection 4.5 Solving Systems of Linear InequalitiesFocus on Problem Solving: Solve an Easier ProblemProjects and Group Activities: Using a Graphing Calculator to Solve a System of Equations5. Polynomials Section 5.1 Exponential ExpressionsSection 5.2 Introduction to Polynomial FunctionsSection 5.3 Multiplication of PolynomialsSection 5.4 Division of PolynomialsSection 5.5 Factoring PolynomialsSection 5.6 Special FactoringSection 5.7 Solving Equations by FactoringFocus on Problem Solving: Find a CounterexampleProjects and Group Activities: Astronomical Distances and Scientific Notation6. Rational Expressions Section 6.1 Multiplication and Division of Rational ExpressionsSection 6.2 Addition and Subtraction of Rational ExpressionsSection 6.3 Complex FractionsSection 6.4 Ratio and ProportionSection 6.5 Rational EquationsSection 6.6 VariationFocus on Problem Solving: ImplicationProjects and Group Activities: Graphing Variation Equations, Transformers7. Exponents and Radicals Section 7.1 Rational Exponents and Radical ExpressionsSection 7.2 Operations on Radical ExpressionsSection 7.3 Solving Equations Containing Radical ExpressionsSection 7.4 Complex NumbersFocus on Problem Solving: Another Look at Polya's Four-Step ProcessProjects and Group Activities: Solving Radical Equations with a Graphing Calculator, The Golden Rectangle8. Quadratic Equations Section 8.1 Solving Quadratic Equations by Factoring or by Taking Square RootsSection 8.2 Solving Quadratic Equations by Completing the SquareSection 8.3 Solving Quadratic Equations by Using the Quadratic FormulaSection 8.4 Solving Equations that are Reducible to Quadratic EquationsSection 8.5 Quadratic Inequalities and Rational InequalitiesSection 8.6 Applications of Quadratic EquationsFocus on Problem Solving: Inductive and Deductive ReasoningProjects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation9. Functions and Relations Section 9.1 Properties of Quadratic FunctionsSection 9.2 Graphs of FunctionsSection 9.3 Algebra of FunctionsSection 9.4 One-to-One and Inverse FunctionsFocus on Problem Solving: Proof in MathematicsProjects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator, Business Applications of Maximum and Minimum Values of Quadratic Functions10. Exponential and Logarithmic Functions Section 10.1 Exponential FunctionsSection 10.2 Introduction to LogarithmsSection 10.3 Graphs of Logarithmic FunctionsSection 10.4 Solving Exponential and Logarithmic EquationsSection 10.5 Applications of Exponential and Logarithmic FunctionsFocus on Problem Solving: Proof by ContradictionProjects and Group Activities: Solving Exponential and Logarithmic Equations Using a Graphing Calculator, Credit Reports and FICO (R) Scores11. Conic Sections Section 11.1 The ParabolaSection 11.2 The CircleSection 11.3 The Ellipse and the HyperbolaSection 11.4 Solving Nonlinear Systems of EquationsSection 11.5 Quadratic Inequalities and Systems of InequalitiesFocus on Problem Solving: Using a Variety of Problem-Solving TechniquesProjects and Group Activities: The Eccentricity and Foci of an Ellipse, Graphing Conic Sections Using a Graphing Calculator12. Sequences and Series Section 12.1 Introduction to Sequences and SeriesSection 12.2 Arithmetic Sequences and SeriesSection 12.3 Geometric Sequences and SeriesSection 12.4 Binomial ExpansionsFocus on Problem Solving: Forming NegationsProjects and Group Activities: ISBN and UPC Numbers
9780618503087 0618503080
Algebra
Algebra--Study and teaching (secondary)
Algebra--Study and teaching
QA154.2 AUF
Intermediate algebra : an applied approach / created by Richard N Aufmann, Vernon C Barker and Joanne S Lockwood. - Seventh edition - various pagination : illustrations (some coloured) ; 28 cm
Includes an index
Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, Review Exercises, and Test. Chapters 2-6 are followed by Cumulative Review Exercises.1. Review of Real Numbers Section 1.1 Introduction to Real NumbersSection 1.2 Operations on Rational NumbersSection 1.3 Variable ExpressionsSection 1.4 Verbal Expressions and Variable ExpressionsFocus on Problem Solving: Polya's Four-Step ProcessProjects and Group Activities: Water Displacement2. First-Degree Equations and Inequalities Section 2.1 Solving First-Degree EquationsSection 2.2 Applications: Puzzle ProblemsSection 2.3 Applications: Mixture and Uniform Motion ProblemsSection 2.4 First-Degree InequalitiesSection 2.5 Absolute Value Equations and InequalitiesFocus on Problem Solving: Understand the ProblemProjects and Group Activities: Electricity3. Linear Functions and Inequalities in Two Variables Section 3.1 The Rectangular Coordinate SystemSection 3.2 Introduction to FunctionsSection 3.3 Linear FunctionsSection 3.4 Slope of a Straight LineSection 3.5 Finding Equations of LinesSection 3.6 Parallel and Perpendicular LinesSection 3.7 Inequalities in Two VariablesFocus on Problem Solving: Find a PatternProjects and Group Activities: Evaluating a Function with a Graphing Calculator, Introduction to Graphing Calculators, Wind-Chill Index4. Systems of Equations and Inequalities Section 4.1 Solving Systems of Linear Equations by Graphing and by the Substitution MethodSection 4.2 Solving Systems of Linear Equations by the Addition MethodSection 4.3 Solving Systems of Equations by Using DeterminantsSection 4.4 Application ProblemsSection 4.5 Solving Systems of Linear InequalitiesFocus on Problem Solving: Solve an Easier ProblemProjects and Group Activities: Using a Graphing Calculator to Solve a System of Equations5. Polynomials Section 5.1 Exponential ExpressionsSection 5.2 Introduction to Polynomial FunctionsSection 5.3 Multiplication of PolynomialsSection 5.4 Division of PolynomialsSection 5.5 Factoring PolynomialsSection 5.6 Special FactoringSection 5.7 Solving Equations by FactoringFocus on Problem Solving: Find a CounterexampleProjects and Group Activities: Astronomical Distances and Scientific Notation6. Rational Expressions Section 6.1 Multiplication and Division of Rational ExpressionsSection 6.2 Addition and Subtraction of Rational ExpressionsSection 6.3 Complex FractionsSection 6.4 Ratio and ProportionSection 6.5 Rational EquationsSection 6.6 VariationFocus on Problem Solving: ImplicationProjects and Group Activities: Graphing Variation Equations, Transformers7. Exponents and Radicals Section 7.1 Rational Exponents and Radical ExpressionsSection 7.2 Operations on Radical ExpressionsSection 7.3 Solving Equations Containing Radical ExpressionsSection 7.4 Complex NumbersFocus on Problem Solving: Another Look at Polya's Four-Step ProcessProjects and Group Activities: Solving Radical Equations with a Graphing Calculator, The Golden Rectangle8. Quadratic Equations Section 8.1 Solving Quadratic Equations by Factoring or by Taking Square RootsSection 8.2 Solving Quadratic Equations by Completing the SquareSection 8.3 Solving Quadratic Equations by Using the Quadratic FormulaSection 8.4 Solving Equations that are Reducible to Quadratic EquationsSection 8.5 Quadratic Inequalities and Rational InequalitiesSection 8.6 Applications of Quadratic EquationsFocus on Problem Solving: Inductive and Deductive ReasoningProjects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation9. Functions and Relations Section 9.1 Properties of Quadratic FunctionsSection 9.2 Graphs of FunctionsSection 9.3 Algebra of FunctionsSection 9.4 One-to-One and Inverse FunctionsFocus on Problem Solving: Proof in MathematicsProjects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator, Business Applications of Maximum and Minimum Values of Quadratic Functions10. Exponential and Logarithmic Functions Section 10.1 Exponential FunctionsSection 10.2 Introduction to LogarithmsSection 10.3 Graphs of Logarithmic FunctionsSection 10.4 Solving Exponential and Logarithmic EquationsSection 10.5 Applications of Exponential and Logarithmic FunctionsFocus on Problem Solving: Proof by ContradictionProjects and Group Activities: Solving Exponential and Logarithmic Equations Using a Graphing Calculator, Credit Reports and FICO (R) Scores11. Conic Sections Section 11.1 The ParabolaSection 11.2 The CircleSection 11.3 The Ellipse and the HyperbolaSection 11.4 Solving Nonlinear Systems of EquationsSection 11.5 Quadratic Inequalities and Systems of InequalitiesFocus on Problem Solving: Using a Variety of Problem-Solving TechniquesProjects and Group Activities: The Eccentricity and Foci of an Ellipse, Graphing Conic Sections Using a Graphing Calculator12. Sequences and Series Section 12.1 Introduction to Sequences and SeriesSection 12.2 Arithmetic Sequences and SeriesSection 12.3 Geometric Sequences and SeriesSection 12.4 Binomial ExpansionsFocus on Problem Solving: Forming NegationsProjects and Group Activities: ISBN and UPC Numbers
9780618503087 0618503080
Algebra
Algebra--Study and teaching (secondary)
Algebra--Study and teaching
QA154.2 AUF