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Table of Contents
Introductory Algebra with P.O.W.E.R. Learning, First Edition
Chapter 1: The Real Number System and Geometry
Study Strategies: The P.O.W.E.R. Framework
Section 1.1 Review of Fractions
Section 1.2 Exponents and Order of Operations
Section 1.3 Geometry Review
Section 1.4 Sets of Numbers and Absolute Value
Section 1.5 Addition and Subtraction of Real Numbers
Section 1.6 Multiplication and Division of Real Numbers
Section 1.7 Properties of Real Numbers
Section 1.8 Simplifying Algebraic Expressions
emPOWERme: Measuring Your Math Confidence
Chapter 1 Summary
Chapter 1 Review
Chapter 1 Test
Chapter 2 : Linear Equations and Inequalities
Study Strategies: Reading Math (and Other) Textbooks
Section 2.1 Solving Linear Equations Part I
Section 2.2 Solving Linear Equations Part II
Section 2.3 Solving Linear Equations Part III
Section 2.4 Applications of Linear Equations
Section 2.5 Geometry Applications and Solving Formulas
Section 2.6 Ratios and Proportions
Section 2.7 Applications of Percents
Section 2.8 Solving Linear Inequalities in One Variable
emPOWERme: Discover Your Reading Style
Chapter 2 Summary
Chapter 2 Review
Chapter 2 Test
Cumulative Review for Chapters 12
Chapter 3: Linear Equations in Two Variables
Study Strategies: Time Management
Section 3.1 Introduction to Linear Equations in Two Variables
Section 3.2 Graphing by Plotting Points and Finding Intercepts
Section 3.3 The Slope of a Line
Section 3.4 The Slope-Intercept Form of a Line
Section 3.5 Writing an Equation of a Line
emPOWERme: Find Your Time Style
Chapter 3 Summary
Chapter 3 Review
Chapter 3 Test
Cumulative Review Chapters 13
Chapter 4 : Linear Equations and Inequalities in Two Variables
Study Strategies: Taking Notes in Class
Section 4.1 Solving Systems by Graphing
Section 4.2 Solving Systems by the Substitution Method
Section 4.3 Solving Systems by the Elimination Method
vPutting It All Together
Section 4.4 Applications of Systems of Two Equations
Section 4.5 Linear Inequalities in Two Variables
emPOWERme: Evaluate Your Class Notes
Chapter 4 Review
Chapter 4 Test
Cumulative Review for Chapters 14
Chapter 5: Rules of Exponents
Study Strategies: Taking Math Tests
Section 5.1 Basic Rules of Exponents
Part A: The Product Rule and Power Rules
Part B: Combining the Rules
Section 5.2 Integer Exponents
Part A: Real-Number Bases
Part B: Variable Bases
Section 5.3 The Quotient Rule
Putting It All Together
Section 5.4 Scientific Notation
emPOWERme: Math Test Preparation Checklist
Chapter 5 Summary
Chapter 5 Review
Chapter 5 Test
Cumulative Review for Chapters 15
Chapter 6: Polynomials
Study Strategies: Doing Math Homework
Section 6.1 Addition and Subtraction of Polynomials
Section 6.2 Multiplication of Polynomials
Section 6.3 Dividing a Polynomial by a Monomial
Section 6.4 Dividing a Polynomial by a Polynomial
emPOWERme: What’s Different About College?
Chapter 6 Summary
Chapter 6 Review
Chapter 6 Test
Cumulative Review Chapters 16
Chapter 7: Factoring Polynomials
Study Strategies: Making Academic Choices
Section 7.1 The Greatest Common Factor and Factoring by Grouping
Section 7.2 Factoring Trinomials of the Form
Section 7.3 Factoring Trinomials of the Form (a 1)
Section 7.4 Factoring Special Trinomials and Binomials
Putting It All Together
Section 7.5 Solving Quadratic Equations by Factoring
Section 7.6 Applications of Quadratic Equations
emPOWERme: Identify Major Attractions
Chapter 7 Summary
Chapter 7 Review
Chapter 7 Test
Cumulative Review Chapters 17
Chapter 8: Rational Expressions
Study Strategies: Coping with Stress
Section 8.1 Simplifying Rational Expressions
Section 8.2 Multiplying and Dividing Rational Expressions
Section 8.3 Finding the Least Common Denominator
Section 8.4 Adding and Subtracting Rational Expressions
Putting It All Together
Section 8.5 Simplifying Complex Fractions
Section 8.6 Solving Rational Equations
Section 8.7 Applications of Rational Equations and Variation
emPOWERme: Determine Your Risk for Stress-Related Illness
Chapter 8 Summary
Chapter 8 Review
Chapter 8 Test
Cumulative Review Chapters 18
Chapter 9: Roots and Radicals
Study Strategies: Working with a Study Group
Section 9.1 Finding Roots
Section 9.2 Simplifying Radicals, the Product and Quotient Rules
Section 9.3 Adding and Subtracting Radicals
Section 9.4 Combining Operations on Radicals
Section 9.5 Dividing Radicals
Section 9.6 Solving Radical Equations
emPOWERme: Form a Study Group
Chapter 9 Summary
Chapter 9 Review
Chapter 9 Test
Cumulative Review for Chapters 19
Chapter 10: Quadratic Equations
Study Strategies: Creating Visuals
Section 10.1 Solving Quadratic Equations Using the Square Root Property
Section 10.2 Solving Quadratic Equations by Completing the Square
Section 10.3 Solving Quadratic Equations Using the Quadratic Formula
Putting It All Together
Section 10.4 Graphs of Quadratic Equations
Section 10.5 Introduction to Functions
emPOWERme: What’s Your Learning Style?
Chapter 10 Summary
Chapter 10 Review
Chapter 10 Test
Cumulative Review for Chapters 110
Appendix
Appendix A.1 Decimals
Appendix A.2 Percents
Appendix A.3 Factoring the Sum and Difference of Two Cubes