Loose Leaf Version for Beginning and Intermediate Algebra

Loose Leaf | January 6, 2011

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Format:Loose LeafDimensions:10.8 × 8.3 × 1.4 inPublished:January 6, 2011Publisher:McGraw-Hill EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0077431316

ISBN - 13:9780077431310

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Table of Contents

1The Real Number System and Geometry
1.1Review of Fractions
1.2Exponents and Order of Operations
1.3Geometry Review
1.4Sets of Numbers and Absolute Value
1.5Addition and Subtraction of Real Numbers
1.6Multiplication and Division of Real Numbers
1.7Algebraic Expressions and Properties of Real Numbers

2The Rules of Exponents
2.1Basic Rules of Exponents
Part AThe Product Rule and Power Rules
Part BCombining the Rules
2.2Integer Exponents
Part AReal-Number Bases
Part BVariable Bases
2.3The Quotient Rule
Putting It All Together
2.4Scientific Notation

3Linear Equations and Inequalities
3.1Solving Linear Equations Part I
3.2Solving Linear Equations Part II
3.3Applications of Linear Equations
3.4Applications Involving Percentages
3.5Geometry Applications and Solving Formulas
3.6Applications of Linear Equations to Proportions, Money Problems, and d=rt
3.7Solving Linear Inequalities in One Variable
3.8Solving Compound Inequalities

4Linear Equations in Two Variables
4.1Introduction to Linear Equations in Two Variables
4.2Graphing by Plotting Points and Finding Intercepts
4.3The Slope of a Line
4.4The Slope-Intercept Form of a Line
4.5Writing an Equation of a Line
4.6Introduction to Functions

5Solving Systems of Linear Equations
5.1Solving Systems by Graphing
5.2Solving Systems by Substitution
5.3Solving Systems by the Elimination Method
Putting It All Together
5.4Applications of Systems of Two Equations
5.5Systems of Three Equations and Applications

6Polynomials
6.1Review of the Rules of Exponents
6.2Addition and Subtraction of Polynomials
6.3Multiplication of Polynomials
6.4Division of Polynomials

7 Factoring Polynomials
7.1The Greatest Common Factor and Factoring by Grouping
7.2Factoring Trinomials of the Form x2+bx+c
7.3Factoring Trinomials of the Form ax2+bx+c (a?1)
7.4Factoring Special Trinomials and Binomials
Putting It All Together
7.5Solving Quadratic Equations by Factoring
7.6Applications of Quadratic Equations

8Rational Expressions
8.1Simplifying Rational Expressions
8.2Multiplying and Dividing Rational Expressions
8.3Finding the Least Common Denominator
8.4Adding and Subtracting Rational Expressions
Putting It All Together
8.5Simplifying Complex Fractions
8.6Solving Rational Equations
8.7Applications of Rational Equations

9More Equations and Inequalities
9.1Solving Absolute Value Equations
9.2Solving Absolute Value Inequalities
9.3Solving Linear and Compound Linear Inequalities in Two Variables
9.4Solving Systems of Linear Equations Using Matrices

10Radicals and Rational Exponents
10.1Finding Roots
10.2Rational Exponents
10.3Simplifying Expressions Containing Square Roots
10.4Simplifying Expressions Containing Higher Roots
10.5Adding, Subtracting, and Multiplying Radicals
10.6Dividing Radicals
Putting It All Together
10.7Solving Radical Equations
10.8Complex Numbers

11Quadratic Equations
11.1Review of Solving Equations by Factoring
11.2The Square Root Property and Completing the Square
11.3The Quadratic Formula
Putting It All Together
11.6Equations in Quadratic Form
11.7Formulas and Applications

12Functions and their Graphs
12.1Relations and Functions
12.2Graphs of Functions and Transformations
12.3Quadratic Functions and Their Graphs
12.4Applications of Quadratic Functions and Graphing Other Parabolas
12.5The Algebra of Functions
12.6Variation

13Exponential, and Logarithmic Functions
13.1Inverse Functions
13.2Exponential Functions
13.3Logarithmic Functions
13.4Properties of Logarithms
13.5Common and Natural Logarithms and Change of Base
13.6Solving Exponential and Logarithmic Equations

14Conic Sections, Nonlinear Inequalities, and Nonlinear Systems
14.1The Circle
14.2The Ellipse and the Hyperbola
Putting It All Together
14.3Nonlinear Systems of Equations
14.4Quadratic and Rational Inequalities

15Sequences and Series (Online Only)
15.1Sequences and Series
15.2Arithmetic Sequences and Series
15.3Geometric Sequences and Series
15.4The Binomial Theorem

AAppendix: Beginning Algebra Review
A1The Real Number System and Geometry
A2Variables and Exponents
A3Linear Equations and Inequalities
A4Linear Equations in Two Variables and Functions
A5Solving Systems of Linear Equations
A6Polynomials
A7Factoring Polynomials
A8Rational Expressions