Intermediate Algebra

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Edition: 1st
Format: Paperback
Pub. Date: 2009-01-05
Publisher(s): Cengage Learning
List Price: $294.18

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Summary

INTERMEDIATE ALGEBRA employs a proven, three-step problem-solving approachùlearn a skill, use the skill to solve equations, and then use the equations to solve application problemsùto keep students focused on building skills and reinforcing them through practice. This simple and straightforward approach, in an easy-to-read format, has helped many students grasp and apply fundamental problem-solving skills. The carefully structured pedagogy includes learning objectives, detailed examples to develop concepts, practice exercises, an extensive selection of problem-set exercises, and well-organized end-of-chapter reviews and assessments. The clean and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad array of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life. Also, as recommended by the American Mathematical Association of Two-Year Colleges, many basic geometric concepts are integrated in problem-solving scenarios. The text's resource packageùanchored by Enhanced WebAssign, an online homework management toolùsaves instructors time while also providing additional help and skill-building practice for students outside of class.

Table of Contents

Basic Concepts and Properties
Sets, Real Numbers, and Numerical Expressions
Operations with Real Numbers
Properties or Real Numbers and the Use of Exponents
Algebraic Expressions
Equations, Inequalities and Problem Solving
Solving First-Degree Equations
Equations Involving Fractional Forms
Equations Involving Decimals and Problem Solving
Formulas
Inequalities
More on Inequalities and Problem Solving
Equations and Inequalities Involving Absolute Values
Linear Equations and Inequalities in Two Variables
Rectangular Coordinate System and Linear Equations
Linear Inequalities in Two Variables
Distance and Slope
Determining the Equation of a Line
Systems of Equations
Systems of Two Linear Equations and Linear Inequalities in Two Variables
Substitution Method
Elimination-by-Addition Method
Systems of Three Linear Equations in Three Variables
Polynomials
Polynomials: Sums and Differences
Products and Quotients of Monomials
Multiplying Polynomials
Factoring: Use of the Distributive Property
Factoring: Difference of two Squares and Sums or Difference in Two Cubes
Factoring Trinomials
Equations and Problem Solving
Rational Expressions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
More on Rational Expressions and Complex Fractions
Dividing Polynomials
Fractional Equations
More Rational Equations and Applications
Exponents and Radicals
Using Integers as Exponents
Roots and Radicals
Combining Radicals and Simplifying Radicals That Contain Variables
Products and Quotients Involving Radicals
Merging Exponents and Roots
Scientific Notation
Quadratic Equations and Inequalities
Complex Numbers
Quadratic Equations
Completing the Square
Quadratic Formula
More Quadratic Equations and Applications
Quadratic and Other Nonlinear Inequalities
Conic Sections
Graphing Nonlinear Equations
Graphing Parabolas
More Parabolas and Some Circles
Graphing Ellipses
Graphing Hyperbolas
Systems Involving Nonlinear Equations
Functions
Relations and Functions
Functions: Their Graphs and Applications
Graphing Made Easy Via Transformations
Composition of Functions
Inverse Functions
Direct and Inverse Variations
Exponential and Logarithmic Functions
Exponents and Exponential Functions
Applications of Exponential Functions
Logarithms
Logarithmic Functions
Exponential Equations, Logarithmic Equations, and Problem Solving
Prime Numbers and Operations with Fractions
Matrix Approach to Problem Solving
Determinants
3 X 3 Determinants and Systems of Three LINEAR EQUATIONS IN Three VARIABLES
Systems Involving Nonlinear Equations and Systems of Inequalities
Table of Contents provided by Publisher. All Rights Reserved.

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