Assessment and Learning in Knowledge Spaces is a Web-based, artificially intelligent assessment and learning system. ALEKS uses adaptive questioning to quickly and accurately determine exactly what a student knows and doesn't know in a course. ALEKS then instructs the student on the topics she is most ready to learn. As a student works through a course, ALEKS periodically reassesses the student to ensure that topics learned are also retained. ALEKS courses are very complete in their topic coverage and ALEKS avoids multiple-choice questions. A student who shows a high level of mastery of an ALEKS course will be successful in the actual course she is taking.

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 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

emPOWERme: Find Your Time Style

Chapter 3 Summary

Chapter 3 Review

Chapter 3 Test

Cumulative Review Chapters 13

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 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

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 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 16

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 17

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 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

emPOWERme: Form a Study Group

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 Introduction to Functions

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 Factoring the Sum and Difference of Two Cubes