Algebra Foundations

by Ginny Crisonino and Stephen L. Slavin

Algebra Foundations is an introductory-level text designed to ease students into foundational math concepts, teaching through examples and formatted to encourage active learning and knowledge retention.

Illustrative examples introduce topics and are followed by a brief set of practice problems for students to work through in real-time with subsequent step-by-step solutions provided. Each round of annotated examples and practice problems increase in difficulty as students progress through the content to the final Workbook (homework) exercise set. This participatory approach to learning each topic through thoroughly explained examples and targeted application ensures concept mastery.

Additional features include Strategies for Academic Success to develop soft skills like note taking, time management, and the ability to overcome test anxiety; Application Exercises to bridge connections between concepts and real-world situations; Challenge Problems to push student understanding with a higher degree of difficulty; Chapter Review exercises and Chapter Tests to provide comprehensive exam prep.


Formats: Software, Textbook, eBook

Product ISBN
Software + eBook 978-1-64277-452-8
Software + eBook + Textbook 978-1-64277-451-1

Table of Contents

  1. Chapter 0: Strategies for Academic Success
    1. 0.1 How to Read a Math Textbook
    2. 0.2 Tips for Success in a Math Course
    3. 0.3 Tips for Improving Math Test Scores
    4. 0.4 Practice, Patience, and Persistence!
    5. 0.5 Note Taking
    6. 0.6 Do I Need a Math Tutor?
    7. 0.7 Tips for Improving Your Memory
    8. 0.8 Overcoming Anxiety
    9. 0.9 Online Resources
    10. 0.10 Preparing for a Final Math Exam
    11. 0.11 Managing Your Time Effectively
  2. Chapter 1: Addition and Subtraction of Whole Numbers
    1. 1.1 Place Value
    2. 1.2 Rounding
    3. 1.3 Adding and Subtracting Whole Numbers
    4. 1.4 Applications
    5. Chapter 1 Review
    6. Chapter 1 Tests
  3. Chapter 2: Multiplication and Division of Whole Numbers
    1. 2.1 Multiplying Whole Numbers
    2. 2.2 Exponents
    3. 2.3 Squares and Roots of Whole Numbers
    4. 2.4 Dividing Whole Numbers
    5. 2.5 Arithmetic Properties
    6. 2.6 Order of Operations Applied to Whole Numbers
    7. 2.7 Applications
    8. Chapter 2 Review
    9. Chapter 2 Tests
  4. Chapter 3: Fractions and Mixed Numbers
    1. 3.1 Picturing Fractions, Mixed Numbers, and Improper Fractions
    2. 3.2 Prime Factorization and Reducing Fractions
    3. 3.3 Multiplying and Dividing Fractions and Mixed Numbers
    4. 3.4 Adding and Subtracting Fractions and Mixed Numbers
    5. 3.5 Complex Fractions and the Order of Operations Applied to Fractions and Mixed Numbers
    6. 3.6 Applications
    7. Chapter 3 Review
    8. Chapter 3 Tests
  5. Chapter 4: Decimals
    1. 4.1 Place Value
    2. 4.2 Rounding Decimals
    3. 4.3 Adding and Subtracting Decimals
    4. 4.4 Multiplying Decimals
    5. 4.5 Dividing Decimals
    6. 4.6 Square Roots of Decimals
    7. 4.7 Order of Operations Applied to Decimals
    8. 4.8 Applications
    9. Chapter 4 Review
    10. Chapter 4 Tests
  6. Chapter 5: Conversions, Ratios, and Proportions
    1. 5.1 Fraction and Decimal Conversions
    2. 5.2 Rate and Ratio
    3. 5.3 Length, Distance, and Weight
    4. 5.4 Unit Pricing
    5. 5.5 Dimensional Analysis
    6. 5.6 Solving Equations by Division
    7. 5.7 Proportions
    8. Chapter 5 Review
    9. Chapter 5 Tests
  7. Chapter 6: Percents
    1. 6.1 What Are Percents?
    2. 6.2 Basic Percent Problems
    3. 6.3 Solving Percent Word Problems
    4. 6.4 Applications
    5. Chapter 6 Review
    6. Chapter 6 Tests
  8. Chapter 7: Introduction to Geometry
    1. 7.1 Perimeter and Area
    2. 7.2 Circles
    3. 7.3 Volume
    4. 7.4 Applications
    5. Chapter 7 Review
    6. Chapter 7 Tests
  9. Chapter 8: Signed Numbers
    1. 8.1 Basic Notation
    2. 8.2 Adding and Subtracting Signed Numbers
    3. 8.3 Multiplying and Dividing Signed Numbers
    4. 8.4 Order of Operations Applied to Signed Numbers
    5. 8.5 Applications
    6. 8.6 The Real Number System
    7. Chapter 8 Review
    8. Chapter 8 Tests
  10. Chapter 9: Exponents and Algebraic Expressions
    1. 9.1 Basic Rules of Exponents Applied to Multiplication
    2. 9.2 Algebraic Substitution
    3. 9.3 Combining Like Terms and the Distributive Property
    4. 9.4 Translating Words into Mathematical Symbols
    5. Chapter 9 Review
    6. Chapter 9 Tests
  11. Chapter 10: Linear Equations and Inequalities
    1. 10.1 Solving Linear Equations in One Variable
    2. 10.2 Notations and Graphs of Inequalities
    3. 10.3 Solving Linear Inequalities in One Variable
    4. 10.4 Applications
    5. Chapter 10 Review
    6. Chapter 10 Tests
  12. Chapter 11: Fractional Expressions
    1. 11.1 Reducing Fractional Expressions
    2. 11.2 Multiplying and Dividing Fractional Expressions
    3. 11.3 Adding and Subtracting Algebraic Fractions
    4. 11.4 Solving Fractional Equations and Inequalities
    5. 11.5 Ratios and Proportions
    6. Chapter 11 Review
    7. Chapter 11 Tests
  13. Chapter 12: Negative Exponents and Polynomials
    1. 12.1 More Basic Rules of Exponents
    2. 12.2 Zero and Negative Exponents
    3. 12.3 Scientific Notation
    4. 12.4 Introduction to Polynomials, Multiplying Polynomials, and Special Product Rules
    5. Chapter 12 Review
    6. Chapter 12 Tests
  14. Chapter 13: Factoring, Solving Equations by Factoring, and Division of Polynomials
    1. 13.1 The Greatest Common Factor and Factoring by Grouping
    2. 13.2 The Difference of Two Squares and the Sum and Difference of Two Cubes
    3. 13.3 Factoring Trinomials: Leading Coefficient is One
    4. 13.4 Factoring Trinomials: Leading Coefficient is NOT One
    5. 13.5 Solving Equations by Factoring
    6. 13.6 Dividing Polynomials
    7. Chapter 13 Review
    8. Chapter 13 Tests
  15. Chapter 14: Rational Expressions
    1. 14.1 Reducing Rational Expressions
    2. 14.2 Multiplying and Dividing Rational Expressions
    3. 14.3 Adding and Subtracting Rational Expressions and Solving Rational Equations and Inequalities
    4. 14.4 Absolute Value Equations and Inequalities
    5. 14.5 Simplifying Complex Fractions
    6. 14.6 Solving Literal equations
    7. 14.7 Applications
    8. Chapter 14 Review
    9. Chapter 14 Tests
  16. Chapter 15: Graphing, Writing, and Interpreting Linear Equations
    1. 15.1 The Cartesian Coordinate System and Graphing Linear Equations
    2. 15.2 Finding and Intepreting the Slope of a Linear Equation
    3. 15.3 Writing the Equation of a Line
    4. Chapter 15 Review
    5. Chapter 15 Tests
  17. Chapter 16: Solving Systems of Linear Equations
    1. 16.1 Solving Systems of Linear Equations Using the Graphing Method
    2. 16.2 Solving Systems of Linear Equations by the Elimnation and Substitution Methods
    3. 16.3 Applications
    4. Chapter 16 Review
    5. Chapter 16 Tests
  18. Chapter 17: Simplifying Radical Expressions and Solving Radical Equations
    1. 17.1 The Basics
    2. 17.2 Adding and Subtracting Radical Expressions
    3. 17.3 Multiplying Radical Expressions and Rationalizing Denominators
    4. 17.4 Solving Radical Equations
    5. Chapter 17 Review
    6. Chapter 17 Tests
  19. Chapter 18: Quadratic Equations
    1. 18.1 Solving Quadratic Equations Using the Factoring Method
    2. 18.2 Solving Quadratic Equations Using the Square Root Method
    3. 18.3 Solving Quadratic Equations Using the Completing the Square Method
    4. 18.4 Solving Quadratic Equations Using the Quadratic Formula
    5. 18.5 Graphing Quadratic Equations and Applications of Quadratic Equations
    6. 18.6 Complex Numbers and Complex Solutions to Quadratic Equations
    7. Chapter 18 Review
    8. Chapter 18 Tests