
Intermediate Algebra: A Graphing Approach, 1/e
K. Elayn MartinGay, University of New Orleans Published March, 1997 by Prentice Hall Engineering/Science/Mathematics
 
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Cumulative Reviews in every chapter include worked examples from previous chapters. Students can find the answers in an appendix, as well as a reference to where the problem first appeared so that a complete solution is available.
Collaborative Projects are introduced in the chapter opener. At the end of each chapter concepts covered in the chapter opener are incorporated into a discoverybased group activity designed for students to work together using technology to manipulate data.
Real Numbers. Properties of Real Numbers. Operations on Real Numbers. Order of Operations and Algebraic Expressions. Group Activity: Analyzing Newspaper Circulation 2. Basic Concepts of Algebra. Solving Linear Equations Algebraically. Introduction to Modeling with Tables. An Introduction to Problem Solving. Formulas and Problem Solving. Interpreting Data and Reading Bar, Line, and Circle Graphs. Group Activity: Comparison of Volumes. 3. Introduction to Graphs and Functions. Introduction to Graphing and Graphing Utilities. Graphing Equations. Introduction to Functions. Graphing Linear Functions. The Slope of a Line. Equations of Lines. Solving Linear Equations Graphically. Group Activity: Modeling Japanese Automobile Imports. 4. Inequalities and Absolute Value. Solving Linear Inequalities Algebraically and Graphically. Compound Inequalities. Absolute Value Equations. Absolute Value Inequalities. Graphing Linear Inequalities in Two Variables. Group Activity: Analyzing a Budget. 5. Systems of Equations. Solving Systems of Linear Equations in Two Variables. Solving Systems of Linear Equations in Three Variables. Systems of Linear Equations and Problem Solving. Solving Systems of Equations by Matrices. Solving Systems of Equations by Determinants. Group Activity: Locating Lightning Strikes. 6. Exponents, Polynomials, and Polynomial Functions. Exponents and Scientific Notation. More Work with Exponents and Scientific Notation. Polynomials and Polynomial Functions. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. Factoring by Special Products and Factoring Strategies. Solving Polynomial Equations Algebraically and Graphically. Group Activity: Finding the Largest Area. 7. Rational Expressions. Rational Functions and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Dividing Polynomials. Synthetic Division. Solving Equations Containing Rational Expressions. Rational Equations and Problem Solving. Variation and Problem Solving. Group Activity: Modeling Electricity Production. 8. Rational Exponents, Radicals, and Complex Numbers. Radicals and Radical Functions. Rational Exponents. Simplifying Radical Expressions. Adding, Subtracting, and Multiplying Radicals. Rationalizing Numerators and Denominators of Radical Expressions. Radical Equations and Problem Solving. Complex Numbers. Group Activity: Calculating the Length and Period of a Pendulum. 9. Quadratic Equations and Functions. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Solving Equations Using Quadratic Methods. Nonlinear Inequalities in One Variable. Quadratic Functions and their Graphs. Further Graphing of Quadratic Functions. Interpreting Data: Recognizing Linear and Quadratic Models. Group Activity: Modeling the Position of a Freely Falling Object. 10. Conic Sections. The Parabola and the Circle. The Ellipse and the Hyperbola. Solving Nonlinear Systems of Equations. Nonlinear Inequalities and Systems of Inequalities. Group Activity: Modeling Conic Sections. 11. Exponential and Logarithmic Functions. Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Properties of Logarithms. Common Logarithms, Natural Logarithms, and Change of Base. Exponential and Logarithmic Equations and Applications. Group Activity: Modeling Temperature. 12. Sequences, Series, and the Binomial Theorem. Sequences. Arithmetic and Geometric Sequences. Series. Partial Sums of Arithmetic and Geometric Sequences. The Binomial Theorem. Group Activity: Modeling College Tuition. Appendices. Index. Photo Credits.
