Beginning and Intermediate Algebra

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  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2008-01-31
  • Publisher: McGraw-Hill Science/Engineering/Math
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Beginning and Intermediate Algebra, 2e, by Messersmithis the first text in a series of future offerings in developmental mathematics. The author presents the content in bite-size pieces, focusing not only on learning mathematical concepts, but also explaining the why behind those concepts. For students, learning mathematics is not just about the memorization of concepts and formulas, but it is also about the journey of learning how to problem solve. By breaking the sections down into manageable chunks, the author has identified the core places where students traditionally struggle, and then assists them in understanding that material to be successful moving forward. Proven pedagogical features, such as You Try problems after each example, reinforce a student's mastery of a concept. While teaching in the classroom, Messersmith has created worksheets for each section that fall into three categories: review worksheets/basic skills, worksheets to teach new content, and worksheets to reinforce/pull together different concepts. These worksheets are a great way to both enhance instruction and to give the students more tools to be successful in studying a given topic. The author is also an extremely popular lecturer, and finds it important to be in the video series that accompany her texts. Finally, the author finds it important to not only provide quality, but also an abundant quantity of exercises and applications. The book is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone.Messersmith mapping the journey to mathematical success!

Table of Contents

The Real Number System and Geometry Section
Review of Fractions Section
Exponents and Order of Operations Section
Geometry Review Section
Sets of Numbers and Absolute Value Section
Addition and Subtraction of Real Numbers Section
Multiplication and Division of Real Numbers Section
Algebraic Expressions and Properties of Real Numbers
Variables and Exponents Section
Simplifying Expressions Section
The Product Rule and Power Rules for Exponents Section
Combining the Rules Section
Integer Exponents with Real-Number Bases Section
Integer Exponents With Variable Bases Section
The Quotient Rule Mid-Chapter Summary Section
Scientific Notation
Linear Equations and Inequalities Section
Solving Linear Equations Part I Section
Solving Linear Equations Part II Section
Applications of Linear Equations to General Problems, Consecutive Integers, and Fixed and Variable Cost Section
Applications of Linear Equations to Percent Increase/Decrease and Investment Problems Section
Geometry Applications and Solving Formulas for a Specific Variable Section
Applications of Linear Equations to Proportions, d = rt, and Mixture Problems Section
Solving Linear Inequalities in One Variable Section
Solving Compound Inequalities
Linear Equations in Two Variables Section
Introduction to Linear Equations in Two Variables Section
Graphing by Plotting Points and Finding Intercepts Section
The Slope of a Line Section
The Slope-Intercept Form of a Line Section
Writing an Equation of a Line Section
Parallel and Perpendicular Lines Section
Introduction to Functions Section
Function Notation and Linear Functions
Solving Systems of Linear Equations Section
Solving Systems by Graphing Section
Solving Systems by Substitution Section
Solving Systems by the Elimination Method Mid-Chapter Summary Section
Applications of Systems of Two Equations Section
Systems of Linear Equations in Three Variables
Polynomials Section
Review of Rules of Exponents Section
Addition and Subtraction of Polynomials Section
Multiplication of Polynomials Section
Division of Polynomials
Factoring Polynomials Section
The Greatest Common Factor and Factoring by Grouping Section
Factoring Trinomials of the Form x^2 + bx + c Section
Factoring Polynomials of the Form ax^2 + bx + c (a not equal to 1) Section
Factoring Binomials and Perfect Square Trinomials Mid-Chapter Summary Section
Solving Quadratic Equations by Factoring Section
Applications of Quadratic Equations
Rational Expressions Section
Simplifying Rational Expressions Section
Multiplying and Dividing Rational Expressions Section
Finding the Least Common Denominator Section
Adding and Subtracting Rational Expressions Mid-Chapter Summary Section
Simplifying Complex Fractions Section
Solving Rational Equations Section
Absolute Value Equations and Inequalities Section
Solving Absolute Value Equations Section
Solving Absolute Value Inequalities Section
Linear Inequalities in Two Variables Section
Solving Systems of Equations Using Matrices
Radicals and Rational Exponents Section
Finding Roots Section
Rational Exponents Section
Simplifying Expressions Containing Square Roots Section
Simplifying Expressions Containing Higher Roots Section
Adding and Subtracting Radicals Section
Combining Multiplication, Addition, and Subtraction of Radicals Section
Dividing Radicals Section
Solving Radical Equations
Quadratic Equation
Table of Contents provided by Publisher. All Rights Reserved.

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