Beginning and Intermediate Algebra An Integrated Approach

by Gustafson, R. David; Karr, Rosemary; Massey, Marilyn

• ISBN13: 9780495831433
• ISBN10: 0495831433
• Additional ISBN(s): 9780495117933, 9781435462533
• Edition: 6th
• Format: Hardcover
• Copyright: 2010-01-01
• Publisher: Brooks Cole
• More Book Details

Summary

The new edition of BEGINNING & INTERMEDIATE ALGEBRA is an exciting and innovative revision that takes an already successful book and makes it more compelling for today's users. The new edition has been thoroughly updated with a new interior design and other pedagogical features that make the book both easier to read and easier to use. Known for its clear writing and an engaging, accessible approach that makes algebra relevant, BEGINNING & INTERMEDIATE ALGEBRA helps users to develop problem-solving skills and strategies that they can use in their everyday lives. The new edition welcomes two new co-authors Rosemary Karr and Marilyn Massey who along with David Gustafson have developed a learning plan to help users succeed in Beginning Algebra and transition to the next level in their coursework.

Table of Contents

Real Numbers and Their Basic Properties

Real numbers and their graphs

Fractions

Exponents and order of operations

Adding and subtracting real numbers

Multiplying and dividing real numbers

Algebraic expressions

Properties of real numbers

Projects

Chapter summary

Test

Equations and Inequalities

Solving basic linear equations in one variable

Solving more linear equations in one variable

Simplifying expressions to solve linear equations in one variable

Formulas

Introduction to problem solving

Motion and mixed problems

Solving linear inequalities in one variable

Projects

Chapter summary

Chapter test Cumulative review exercises

Graphing and Solving Systems of Linear Equations and Linear Inequalities

The rectangular coordinate system

Graphing linear equations

Solving systems of linear equations by graphing

Solving systems of linear equations by substitution

Solving systems of linear equations by elimination (addition)

Applications of systems of linear equations

Solving Systems of linear inequalities

Projects

Chapter summary

Chapter test

Polynomials

Natural-number exponents

Zero and negative-integral exponents

Scientific notation

Polynomials and Polynomial Functions

Adding and subtracting polynomials

Multiplying polynomials

Dividing polynomials by monomials

Dividing polynomials by polynomials

Projects

Chapter summary

Chapter test Cumulative review exercises

Factoring Polynomials

Factoring out the greatest common factor

Factoring by grouping

Factoring the difference of two squares

Factoring trinomials with leading coefficients of

Factoring general trinomials

Factoring the sum and difference of two cubes

Summary of factoring techniques

Solving equations by factoring

Problem solving

Projects

Chapter summary

Chapter test

Proportions and Rational Expressions

Simplifying rational expressions

Multiplying and dividing rational expressions

Adding and subtracting rational expressions

Complex fractions

Solving equations that contain rational expressions

Applications of equations that contain rational expressions

Ratios

Proportions and similar triangles

Projects

Chapter summary

Chapter test Cumulative review exercises

More Equations, Inequalities, and Factoring

Review of equations and inequalities

Equations containing absolute value

Inequalities containing absolute values

Review of factoring

Review of rational expressions

Synthetic division

Projects

Chapter summary

Test

Writing Equations of Lines, Functions, and Variation

A review of the rectangular coordinate system

Slope of a nonvertical line

Writing equations of lines

A review of functions

Graphs of nonlinear functions

Variation

Projects

Chapter summary

Test Cumulative review exercises

Radicals and Rational Exponents

Radical expressions

Applications of radicals

Rational exponents

Simplifying and combining radical expressions

Multiplying and dividing radical expressions

Radical equations

Complex numbers

Projects

Chapter summary

Chapter test

Quadratic Functions, Inequalities and Algebra of Functions

Solving quadratic equations by completing the square

Solving quadratic equations by the quadratic formula

The discriminant and equations that can be written in quadratic form

Graphs of quadratic functions

Quadratic and other nonlinear inequalities

Algebra and composition of functions

Inverses of functions

Projects

Chapter summary

Chapter test Cumulative review exercises

Exponential and Logarithmic Functions

Exponential functions

Base- exponential functions

Logarithmic functions

Base- logarithms

Properties of logarithms

Exponential and logarithmic equations

Projects

Chapter summary

Chapter test

Conic Sections and More Graphing

The circle and the parabola

The ellipse

The hyperbola

Piecewise-defined functions and the greatest integer function

Projects

Chapter summary

Chapter test Cumulative review exercises

More on Systems of Equations and Inequalities

Solutions of two equations in two variables

Solutions of three equations in three variables

Solution by matrices

Solution by determinants

Solving simultaneous second-degree equations and inequalities

Projects

Chapter summary

Chapter test

Miscellaneous Topics

The binomial theorem

The nth term of a binomial expansion

Arithmetic sequences

Geometric sequences

Infinite geometric sequences

Permutations and combinations

Probability

Projects

Chapter summary

Chapter test Cumulative review exercises

Symmetries of graphs

Tables

Powers and roots

Base-10 logarithms

Base-e logarithms

Answers to Selected Exercises

Index

Index of Applications

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