 # 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

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
1. 17.1 The Basics