Beginning and Intermediate Algebra An Integrated Approach

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  • Edition: 6th
  • Format: Hardcover
  • Copyright: 2010-01-01
  • Publisher: Brooks Cole
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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
Exponents and order of operations
Adding and subtracting real numbers
Multiplying and dividing real numbers
Algebraic expressions
Properties of real numbers
Chapter summary
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
Introduction to problem solving
Motion and mixed problems
Solving linear inequalities in one variable
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
Chapter summary
Chapter test
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
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
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
Proportions and similar triangles
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
Chapter summary
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
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
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
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
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
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
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
Chapter summary
Chapter test Cumulative review exercises
Symmetries of graphs
Powers and roots
Base-10 logarithms
Base-e logarithms
Answers to Selected Exercises
Index of Applications
Table of Contents provided by Publisher. All Rights Reserved.

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