Introductory Algebra with P.O.W.E.R. Learning

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 1.1 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

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 2.1 Solving Linear Equations Part I

Section 2.2 Solving Linear Equations Part II

Section 2.3 Applications of Linear Equations

Section 2.4 Applications involving Percents

Section 2.5 Geometry Applications and Solving Formulas

Section 2.6 Applications 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 3.1 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

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 4.1 Solving Systems by Graphing

Section 4.2 Solving Systems by the Substitution Method

Section 4.3 Solving Systems by the Elimination Method

Putting It All Together

Section 4.4 Applications of Systems of Two Equations

Section 4.5 Linear 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 5.1 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

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 6.1 Addition and Subtraction of Polynomials

Section 6.2 Multiplication of Polynomials

Section 6.3 Special Products

Section 6.4 Division 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 7.1 The Greatest Common Factor and Factoring by Grouping

Section 7.2 Factoring Trinomials of the Form x^2 + bx + c

Section 7.3 Factoring Trinomials of the Form ax^2 + bx + c (a ? 1)

Section 7.4 Factoring 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 8.1 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

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 9.1 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

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 10.1 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 Complex 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.1 Decimals

Appendix A.2 Percents

Appendix A.3 Compound 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"