Experiencing Intermediate Algebra

by Thomasson, JoAnne; Pesut, Robert

• ISBN13: 9780130090461
• ISBN10: 0130090468
• Edition: 2nd
• Format: Hardcover
• Copyright: 2003-01-01
• Publisher: Addison Wesley

Summary

This book bridges the gap between traditional algebra books and reform books, written to promote the AMATYC standards published as Crossroads in Mathematics. It provides users with a sound traditional mathematical foundation, fully integrates graphing calculator technology, and encourages computer activities. This book includes key topics in algebra such as linear equations and inequalities with one and two variables, systems of equations, polynomial functions and equations, quadratic functions and equations, exponential functions and equations, logarithmic functions an equations, rational and radical expressions, and conic sections. For professionals who wish to brush up on their algebra skills or enhance them with the use of graphing calculators and computers.

Table of Contents

0. Real Numbers.

Rational Numbers, the Number Line, and Operations on Rational Numbers. Exponents, Roots, and Scientific Notation. Properties of Real Numbers and Order of Operations.

1. Equations, Functions, and Graphs.

Expressions, Equations, and Formulas. Relations. Functions. Analyzing Graphs.

2. Linear Equations and Inequalities in One Variable.

Solving Linear Equations. Formulas and Real-World Models. Solving Linear Absolute Value Equations. Solving Linear Inequalities. Solving Absolute Value Inequalities.

3. Linear Equations and Inequalities in Two Variables.

Graphing Using Ordered Pairs and Intercepts. Graphing Using the Slope-Intercept Method. Writing Linear Equations from Given Data. Graphing Linear Inequalities.

4. Systems of Linear Equations and Inequalities.

Solving Systems of Two Equations. More Real-World Models. Solving Systems of Three Equations. Solving Systems Using Matrices. Solving Systems Using Cramer's Rule. Solving Systems of Linear Inequalities in Two Variables.

5. Polynomial Functions.

Polynomial Functions and Their Graphs. Quadratic Functions and Their Graphs. Writing Quadratic Functions.

6. Exponents and Polynomials.

Operations Involving Nonnegative Exponents. Negative Exponents. Polynomial Addition and Subtraction. Polynomial Multiplication. Polynomial Division.

7. Factoring.

Greatest Common Factors. Factoring Perfect Square Trinomials, Differences of Squares, and Sums and Differences of Cubes. Factoring Trinomials Using the Trial and Error Method. Factoring Using the Grouping Method. General Strategies for Factoring.

8. Quadratic and Other Polynomial Equations and Inequalities.

Solving Equations Numerically, Graphically, and Algebraically by Factoring. Solving Quadratic Equations Using Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations Using the Quadratic Formula. More Real-World Models. Solving Quadratic Inequalities.

9. Rational Expressions, Functions, and Equations.

Rational Expressions and Functions. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Solving Rational Equations. More Real-World Models.

10. Radical Expressions, Functions, and Equations.

Radical Expressions, Functions, and Graphs. Rational Exponents. Properties of Rational Exponents. Properties of Radicals. Operations on Radicals. Solving Radical Equations. Equations with Imaginary-Number Solutions.

11. Exponential and Logarithmic Functions and Equations.

Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Solving Exponential and Logarithmic Equations.

12. Conic Sections.

Parabolas. Circles. Ellipses. Hyperbolas.