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Messersmith
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Table of Contents


Student Edition
Instructor Edition
Beginning Algebra

Sherri Messersmith, College of DuPage

ISBN: 0073406163
Copyright year: 2012

Table of Contents



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

2 The Rules of Exponents
2.1 Basic Rules of Exponents
Part A The Product Rule and Power Rules
Part B Combining the Rules
2.2 Integer Exponents
Part A Real-Number Bases
Part B Variable Bases
2.3 The Quotient Rule
Putting It All Together
2.4 Scientific Notation

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

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

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

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

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

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

9 Roots and Radicals
9.1 Finding Roots
9.2 Simplifying Expressions Containing Radicals
9.3 Adding and Subtracting Radicals
9.4 Combining Operations on Radicals
9.5 Dividing Radicals
9.6 Solving Radical Equations
9.7 Rational Exponents

10 Quadratic Equations
10.1 Solving Quadratic Equations Using the Square Root Property
10.2 Solving Quadratic Equations by Completing the Square
10.3 Solving Quadratic Equations Using the Quadratic Formula
Putting It All Together
10.4 Complex Numbers
10.5 Graphs of Quadratic Equations

A Appendix
A.1 Mean, Median, and Mode
A.2 Systems of Linear Equations in Three Variables
A.3 Quadratic Inequalities


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