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Table of Contents

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Program Details

Intermediate Algebra with P.O.W.E.R. Learning, 2nd Edition

Chapter 1: Real Numbers and Algebraic Expressions

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 Set of Numbers

Section 1.2 Operations on Real Numbers

Section 1.3 Exponents, Roots, and Order of Operations

Section 1.4 Algebraic Expressions and Properties of Real Numbers

Group Activity

emPOWERme: Why Am I Going to College?

Chapter Summary

Chapter Review

Chapter Test

Chapter 2: Linear Equations in One Variable

Study Strategies: How to Read Math (and Other) Textbooks

Section 2.1 Linear Equations in One Variable

Section 2.2 Applications of Linear Equations

Section 2.3 Geometry Applications and Solving Formulas

Section 2.4 More Applications of Linear Equations

Group Activity

emPOWERme: Organize Your Memory

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 and 2

Chapter 3: Linear Inequalities and Absolute Value

Study Strategies: Time Management

Section 3.1 Linear Inequalities in One Variable

Section 3.2 Compound Inequalities in One Variable

Section 3.3 Absolute Value Equations and Inequalities

Group Activity

emPOWERme: Identify the Black Holes of Time Management

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 3

Chapter 4: Linear Equations in Two Variables and Functions

Study Strategies: Taking Notes in Class

Section 4.1 Introduction to Linear Equations in Two Variables

Section 4.2 Slope of a Line and Slope-Intercept Form

Section 4.3 Writing an Equation of a Line

Section 4.4 Linear and Compound Linear Inequalities in Two Variables

Section 4.5 Introduction to Functions

Group Activity

emPOWERme: Checklist for Effective Notes

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 4

Chapter 5: Solving Systems of Linear Equations

Study Strategies: Taking Math Tests

Section 5.1 Solving Systems of Linear Equations in Two Variables

Section 5.2 Solving Systems of Linear Equations in Three Variables

Section 5.3 Applications of Systems of Linear Equations

Section 5.4 Solving Systems of Linear Equations Using Matrices

Group Activity

emPOWERme: What is My Test-Taking Style?

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 5

Chapter 6: Polynomials and Polynomial Functions

Study Strategies: Doing Math Homework

Section 6.1 The Rules of Exponents

Section 6.2 More on Exponents and Scientific Notation

Section 6.3 Addition and Subtraction of Polynomials and Polynomial

Functions

Section 6.4 Multiplication of Polynomials and Polynomial Functions

Section 6.5 Division of Polynomials and Polynomial Functions

Group Activity

emPOWERme: The Right Time and Place for Homework

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 6

Chapter 7: Factoring Polynomials

Study Strategies: Working with a Study Group

Section 7.1 The Greatest Common Factor and Factoring by Grouping

Section 7.2 Factoring Trinomials

Section 7.3 Special Factoring Techniques

Putting It All Together

Section 7.4 Solving Quadratic Equations by Factoring

Section 7.5 Applications of Quadratic Equations

Group Activity

emPOWERme: What is My Studying Style?

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 7

Chapter 8: Rational Expressions, Equations, and Functions

Study Strategies: The Writing Process

Section 8.1 Simplifying, Multiplying, and Dividing Rational Expressions and Functions

Section 8.2 Adding and Subtracting Rational Expressions

Section 8.3 Simplifying Complex Fractions

Section 8.4 Solving Rational Equations

Putting It All Together

Section 8.5 Application of Rational Equations

Section 8.6 Variation

Group Activity

emPOWERme: Writing Clearly

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 8

Chapter 9: Radicals and Rational Exponents

Study Strategies: Know Your School

Section 9.1 Radical Expressions and Functions

Section 9.2 Rational Exponents

Section 9.3 Simplifying Expressions Containing Square Roots

Section 9.4 Simplifying Expressions Containing Higher Roots

Section 9.5 Adding, Subtracting, and Multiplying Radicals

Section 9.6 Dividing Radicals

Putting It All Together

Section 9.7 Solving Radical Equations

Section 9.8 Complex Numbers

Group Activity

emPOWERme: My School

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 9

Chapter 10: Quadratic Equations and Functions

Study Strategies: Developing Financial Literacy

Section 10.1 The Square Root Property and Completing the Square

Section 10.2 The Quadratic Formula

Putting It All Together

Section 10.3 Equations in Quadratic Form

Section 10.4 Formulas and Applications

Section 10.5 Quadratic Functions and Their Graphs

Section 10.6 Application of Quadratic Functions and Graphing Other Parabolas

Section 10.7 Quadratic and Rational Inequalities

Group Activity

emPOWERme: Determine Your Saving Style

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 10

Chapter 11: Exponential and Logarithmic Functions

Study Strategies: Using the Internet for Learning

Section 11.1 Composite and Inverse Functions

Section 11.2 Exponential Functions

Section 11.3 Logarithmic Functions

Section 11.4 Properties of Logarithms

Section 11.5 Common and Natural Logarithms and Change of Base

Section 11.6 Solving Exponential and Logarithmic Equations

Group Activity

emPOWERme: Should You Use the Internet to Supplement Your Learning?

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 11

Chapter 12: Nonlinear Functions, Conic Sections, and Nonlinear Systems

Study Strategies: Improving Your Memory

Section 12.1 Graphs of Other Useful Functions

Section 12.2 The Circle

Section 12.3 The Ellipse

Section 12.4 The Hyperbola

Putting It All Together

Section 12.5 Nonlinear Systems of Equations

Sections 12.6 Second-Degree Inequalities and System of Inequalities

Group Activity

emPOWERme: How is My Memory?

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 12

Chapter 13 (Online): Sequences and Series

Section 13.1 Sequences and Series

Section 13.2 Arithmetic Sequences and Series

Section 13.3 Geometric Sequences and Series

Section 13.4 The Binomial Theorem

Chapter Summary

Chapter Review

Chapter Test

Cumulative Review for Chapters 1 – 13

Appendix

Section A.1 Review of Fractions

Section A.2 Geometry Review

Section A.3 Determinants and Cramer’s Rule

Section A.4 Synthetic Division and the Remainder Theorem