Intermediate Algebra : Concepts and Applications

by Bittinger, Marvin L.; Ellenbogen, David J.

• ISBN13: 9780321557186
• ISBN10: 0321557182
• Edition: 8th
• Format: Hardcover
• Copyright: 2009-01-21
• Publisher: Pearson

Summary

Normal 0 false false false KEY BENEFIT: TheBittinger Concepts and Applications Seriesbrings proven pedagogy to a new generation of students, with updates throughout to help todayrs"s students learn. Bittinger transitions students from skills-based math to the concepts-oriented math required for college courses, and supports students with quality applications and exercises to help them apply and retain their knowledge. New features such as Translating for Success and Visualizing for Success unlock the way students think, making math accessible to them. KEY TOPICS: Algebraic and Problem Solving; Graphs, Functions, and Linear Equations; Introduction to Graphing; Inequalities and Problem Solving; Polynomials and Polynomial Functions; Rational Expressions, Equations, and Functions; Exponents and Radicals; Quadratic Functions and Equations; Exponential and Logarithmic Functions; Conic Sections; Sequences, Series, and the Binomial Theorem MARKET: For all readers interested in algebra.

Table of Contents

Algebraic and Problem Solving

Some Basics of Algebra

Operations and Properties of Real Numbers

Solving Equations

Introduction to Problem Solving

Formulas, Models, and Geometry

Properties of Exponents

Scientific Notation

Graphs, Functions, and Linear

Equations

Graphs

Functions

Linear Functions: Slope, Graphs, and Models

Another Look at Linear Graphs

Other Equations of Lines

The Algebra of Functions

Introduction to Graphing

Systems of Equations in Two Variables

Solving by Substitution or Elimination

Solving Applications: Systems of Two Equations

Systems of Equations in Three Variables

Solving Applications: Systems of Three Variables

Elimination Using Matrices

Determinants and Cramer's Rule

Business and Economics Applications

Inequalities and Problem Solving

Inequalities and Applications

Intersections, Unions, and Compound Inequalities

Absolute-Value Equations and Inequalities

Inequalities in Two Variables

Applications Using Linear Programming

Polynomials and Polynomial Functions

Introduction to Polynomials and Polynomial Functions

Multiplication of Polynomials

Common Factors and Factoring by Grouping

Factoring Trinomials

Factoring Perfect-Square Trinomials and Differences of Squares

Factoring Sums or Differences of Cubes

Factoring: A General Strategy

Applications of Polynomial Equations

Rational Expressions, Equations, and Functions

Rational Expressions and Functions: Multiplying and Dividing

Rational Expressions and Functions: Adding and Subtracting

Complex Rational Expressions

Rational Equations

Solving Applications Using Rational Equations

Division of Polynomials

Synthetic Division

Formulas, Applications, and Variation

Exponents and Radicals

Radical Expressions and Functions

Rational Numbers as Exponents

Multiplying Radical Expressions

Dividing Radical Expressions

Expressions Containing Several Radical Terms

Solving Radical Equations

The Distance and Midpoint Formulas and Other Applications

The Complex Numbers

Quadratic Functions and Equations

Quadratic Equations

The Quadratic Formula

Studying Solutions of Quadratic Equations

Applications Involving Quadratic Equations

Equations Reducible to Quadratic

Quadratic Functions and Their Graphs

More About Graphing Quadratic Functions

Problem Solving and Quadratic Functions

Polynomial and Rational Inequalities

Exponential and Logarithmic Functions

Composite and Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithmic Functions

Common and Natural Logarithms

Solving Exponential and Logarithmic Functions

Applications of Exponential and Logarithmic Functions

Conic Sections

Conic Sections: Parabolas and Circles

Conic Sections: Ellipses

Conic Sections: Hyperbolas

Nonlinear Systems of Equations

Sequences, Series, and the Binomial Theorem

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

The Binomial Theorem

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