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Elementary and Intermediate Algebra: Concepts and Applications

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Elementary and Intermediate Algebra: Concepts and Applications Cover

 

Synopses & Reviews

Publisher Comments:

The goal of Elementary and Intermediate Algebra: Concepts and Applications, 4e is to help today’s students learn and retain mathematical concepts by preparing them for the transition from “skills-oriented” elementary and  intermediate algebra courses to more “concept-oriented” college-level mathematics courses, as well as to make the transition from “skill” to “application.” This edition continues to bring your students a best-selling text that incorporates the five-step problem-solving process, real-world applications, proven pedagogy, and an accessible writing style. The Bittinger/Ellenbogen/Johnson series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. This revision has an even stronger focus on vocabulary and conceptual understanding as well as making the mathematics even more accessible to students. Among the features added are new Concept Reinforcement exercises, Student Notes that help students avoid common mistakes, and Study Summaries that highlight the most important concepts and terminology from each chapter.

 

Introduction to Algebraic Expressions; Equations, Inequalities, and Problem Solving; Introduction to Graphing; Polynomials; Polynomials and Factoring; Rational Expressions and Equations; Functions and Graphs; Systems of Equations and Problem Solving; Inequalities and Problem Solving; Exponents and Radicals; Quadratic Functions and Equations; Exponential and Logarithmic Functions; Conic Sections; Sequences, Series, and The Binomial Theorem; Elementary Algebra Review

  For all readers interested in elementary and intermediate algebra.

Synopsis:

KEY BENEFIT: The Bittinger Concepts and Applications Series extends proven pedagogy to a new generation of students, with updates throughout to help today’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 the Graph unlock the way students think, making math accessible to them.

KEY TOPICS:

MARKET: For all readers interested in algebra.

Table of Contents

1. Introduction to Algebraic Expressions

Introduction to Algebra   

The Commutative, Associative, and Distributive Laws

Fraction Notation

Positive and Negative Real Numbers

Addition of Real Numbers

Subtraction of Real Numbers

Multiplication and Division of Real Numbers

Exponential Notation and Order of Operations

 

2. Equations, Inequalities, and Problem Solving

Solving Equations

Using the Principles Together

Formulas

Applications with Percent

Problem Solving

Solving Inequalities

Solving Applications with Inequalities

 

3. Introduction to Graphing

Reading Graphs, Plotting Points, and Scaling Graphs

Graphing Linear Equations

Graphing and Intercepts

Rates

Slope

Slope-Intercept Form

Point-Slope Form

 

4. Polynomials

Exponents and Their Properties

Negative Exponents and Scientific Notation

Polynomials

Addition and Subtraction of Polynomials

Multiplication of Polynomials

Special Products

Polynomials in Several Variables

Division of Polynomials

 

5. Polynomials and Factoring

Introduction to Factoring

Factoring Trinomials of the Type x2 + bx + c

Factoring Trinomials of the Type ax2 + bx + c

Factoring Perfect-Square Trinomials and Differences of Squares

Factoring Sums or Differences of Cubes

Factoring: A General Strategy

Solving Quadratic Equations by Factoring

Solving Applications

 

6. Rational Expressions and Equations

Rational Expressions

Multiplication and Division

Addition, Subtraction, and Least Common Denominators

Addition and Subtraction with Unlike Denominators

Complex Rational Expressions

Solving Rational Equations

Applications Using Rational Equations and Proportions

 

7. Functions and Graphs

Introduction to Functions

Domain and Range

Graphs of Functions (including brief review of graphing)

The Algebra of Functions

Formulas, Applications, and Variation

 

8. Systems of Equations and Problem Solving

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 Equations

Elimination Using Matrices

Determinants and Cramer's Rule

Business and Economics Applications

 

9. Inequalities and Problem SolvingInequalities and Domain

Intersections, Unions, and Compound Inequalities

Absolute-Value Equations and Inequalities

Inequalities in Two Variables

Applications Using Linear Programming

 

10. 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

 

11. 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

 

12. Exponential and Logarithmic Functions

Composite and Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithmic Functions

Common and Natural Logarithms

Solving Exponential and Logarithmic Equations

Applications of Exponential and Logarithmic Functions

 

13. Conic Sections

Conic Sections: Parabolas and Circles

Conic Sections: Ellipses

Conic Sections: Hyperbolas

Nonlinear Systems of Equations

 

14. Sequences, Series, and the Binomial Theorem

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

The Binomial Theorem

 

R. Elementary Algebra Review

Introduction to Algebraic Expressions

Equations, Inequalities, and Problem Solving

Introduction to Graphing

Polynomials

Polynomials and Factoring

Rational Expressions and Equation

Appendixes

A Mean, Median and Mode

B Sets

C Synthetic Division

Tables

1 Fraction and Decimal Equivalents

2 Squares and Square Roots with Approximations to Three Decimal Places

Answers A-1       Additional Instructor's Answers IA-1

Glossary G-1

Index I-1

Index of Applications I-10

Product Details

ISBN:
9780321233837
Subtitle:
Concepts and Applications
Author:
Bittinger, Marvin L.
Author:
Bittinger, Marvin A.
Author:
Penna, Judith A.
Author:
Ellenbogen, David J.
Author:
Johnson, Barbara L.
Publisher:
Addison Wesley
Subject:
Algebra - Elementary
Subject:
Algebra - Intermediate
Subject:
Algebra - General
Copyright:
Edition Number:
4
Edition Description:
Trade paper
Series:
The Bittinger Concepts and Applications Series
Publication Date:
20090115
Binding:
Hardback
Grade Level:
College/higher education:
Language:
English
Illustrations:
Y
Pages:
1120
Dimensions:
11 x 8.3 x 0.8 in 599 gr

Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Calculus » Precalculus
Textbooks » General

Elementary and Intermediate Algebra: Concepts and Applications Used Hardcover
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Product details 1120 pages Addison Wesley Publishing Company - English 9780321233837 Reviews:
"Synopsis" by ,

KEY BENEFIT: The Bittinger Concepts and Applications Series extends proven pedagogy to a new generation of students, with updates throughout to help today’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 the Graph unlock the way students think, making math accessible to them.

KEY TOPICS:

MARKET: For all readers interested in algebra.

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