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Table of Contents
Introductory Algebra with P.O.W.E.R. Learning, 2nd Edition
Chapter 1: The Real Number System and Geometry
Study Strategies: An Introduction to the P.O.W.E.R. Framework
Study Strategies: Using P.O.W.E.R. to Succeed in Your Course
Section 1.1Review of Fractions
Section 1.2Exponents and Order of Operations
Section 1.3Geometry Review
Section 1.4Sets of Numbers and Absolute Value
Section 1.5Addition and Subtraction of Real Numbers
Section 1.6Multiplication and Division of Real Numbers
Section 1.7Properties of Real Numbers
Section 1.8Simplifying Algebraic Expressions
Group Activity
emPOWERme: Measuring Your Math Confidence
Chapter 1 Summary
Chapter 1 Review
Chapter 1 Test
Chapter 2: Linear Equations and Inequalities in One Variable
Study Strategies: How to Read Math (and Other) Textbooks
Section 2.1Solving Linear Equations Part I
Section 2.2Solving Linear Equations Part II
Section 2.3 Applications of Linear Equations
Section 2.4 Applications involving Percents
Section 2.5Geometry Applications and Solving Formulas
Section 2.6Applications of Linear Equations to Proportions, Money Problems, and d=rt
Section 2.7 Solving Linear Inequalities in One Variable
Group Activity
emPOWERme: Discover Your Reading Style
Chapter 2 Summary
Chapter 2 Review
Chapter 2 Test
Cumulative Review for Chapters 1-?2
Chapter 3: Linear Equations in Two Variables
Study Strategies: Time Management
Section 3.1Introduction to Linear Equations in Two Variables
Section 3.2Graphing by Plotting Points and Finding Intercepts
Section 3.3The Slope of a Line
Section 3.4The Slope-Intercept Form of a Line
Section 3.5Writing an Equation of a Line
Section 3.6 Introduction to Functions
Group Activity
emPOWERme: Find Your Time Style
Chapter 3 Summary
Chapter 3 Review
Chapter 3 Test
Cumulative Review Chapters 1-?3
Chapter 4: Linear Equations and Systems of Inequalities in Two Variables
Study Strategies: Taking Notes in Class
Section 4.1Solving Systems by Graphing
Section 4.2Solving Systems by the Substitution Method
Section 4.3Solving Systems by the Elimination Method
Putting It All Together
Section 4.4Applications of Systems of Two Equations
Section 4.5Linear Inequalities in Two Variables
Group Activity
emPOWERme: Evaluate Your Class Notes
Chapter 4 Review
Chapter 4 Test
Cumulative Review for Chapters 1-?4
Chapter 5: Rules of Exponents
Study Strategies: Taking Math Tests
Section 5.1Basic Rules of Exponents
Part A:The Product Rule and Power Rules
Part B:Combining the Rules
Section 5.2Integer Exponents
Part A:Real-Number Bases
Part B:Variable Bases
Section 5.3The Quotient Rule
Putting It All Together
Section 5.4Scientific Notation
Group Activity
emPOWERme: Math Test Preparation Checklist
Chapter 5 Summary
Chapter 5 Review
Chapter 5 Test
Cumulative Review for Chapters 1-?5
Chapter 6: Polynomials
Study Strategies: Doing Math Homework
Section 6.1Addition and Subtraction of Polynomials
Section 6.2Multiplication of Polynomials
Section 6.3Special Products
Section 6.4Division of Polynomials
Group Activity
emPOWERme: What’s Different About College?
Chapter 6 Summary
Chapter 6 Review
Chapter 6 Test
Cumulative Review Chapters 1-?6
Chapter 7: Factoring Polynomials
Study Strategies: Making a Class Schedule
Section 7.1The Greatest Common Factor and Factoring by Grouping
Section 7.2Factoring Trinomials of the Form x^2 + bx + c
Section 7.3Factoring Trinomials of the Form ax^2 + bx + c (a ? 1)
Section 7.4Factoring Special Trinomials and Binomials
Section 7.5 Factoring the Sum and Difference of Two Cubes
Putting It All Together
Section 7.6 Solving Quadratic Equations by Factoring
Section 7.7 Applications of Quadratic Equations
Group Activity
emPOWERme: Identify Major Attractions
Chapter 7 Summary
Chapter 7 Review
Chapter 7 Test
Cumulative Review Chapters 1-?7
Chapter 8: Rational Expressions
Study Strategies: Know Your School
Section 8.1Simplifying Rational Expressions
Section 8.2Multiplying and Dividing Rational Expressions
Section 8.3Finding the Least Common Denominator
Section 8.4Adding and Subtracting Rational Expressions
Putting It All Together
Section 8.5Simplifying Complex Fractions
Section 8.6Solving Rational Equations
Section 8.7Applications of Rational Equations and Variation
Group Activity
emPOWERme: My School
Chapter 8 Summary
Chapter 8 Review
Chapter 8 Test
Cumulative Review Chapters 1-?8
Chapter 9: Roots and Radicals
Study Strategies: Working with a Study Group
Section 9.1Finding Roots
Section 9.2Simplifying Radicals: the Product and Quotient Rules
Section 9.3Adding and Subtracting Radicals
Section 9.4Combining Operations on Radicals
Section 9.5Dividing Radicals
Section 9.6Solving Radical Equations
Section 9.7 Rational Exponents
Group Activity
emPOWERme: My Study Group Experience
Chapter 9 Summary
Chapter 9 Review
Chapter 9 Test
Cumulative Review for Chapters 1-?9
Chapter 10: Quadratic Equations
Study Strategies: Creating Visuals
Section 10.1Solving Quadratic Equations Using the Square Root Property
Section 10.2Solving Quadratic Equations by Completing the Square
Section 10.3Solving Quadratic Equations Using the Quadratic Formula
Putting It All Together
Section 10.4Graphs of Quadratic Equations
Section 10.5Complex Numbers
Group Activity
emPOWERme: What’s Your Learning Style?
Chapter 10 Summary
Chapter 10 Review
Chapter 10 Test
Cumulative Review for Chapters 1-?10
Appendix
Appendix A.1Decimals
Appendix A.2Percents
Appendix A.3Compound Inequalities in One Variable
Appendix A.4 Solving Systems of Three Equations and Applications
Appendix A.5 Compound Linear Inequalities in Two Variables Containing "Or"