Algebra Foundations

0.1 How to Read a Math Textbook

0.2 Tips for Success in a Math Course

0.3 Tips for Improving Math Test Scores

0.4 Practice, Patience, and Persistence!

0.5 Note Taking

0.6 Do I Need a Math Tutor?

0.7 Tips for Improving Your Memory

0.8 Overcoming Anxiety

0.9 Online Resources

0.10 Preparing for a Final Math Exam

0.11 Managing Your Time Effectively

1.1 Place Value

1.2 Rounding

1.3 Adding and Subtracting Whole Numbers

1.4 Applications

2.1 Multiplying Whole Numbers

2.2 Exponents

2.3 Squares and Roots of Whole Numbers

2.4 Dividing Whole Numbers

2.5 Arithmetic Properties

2.6 Order of Operations Applied to Whole Numbers

2.7 Applications

3.1 Picturing Fractions, Mixed Numbers, and Improper Fractions

3.2 Prime Factorization and Reducing Fractions

3.3 Multiplying and Dividing Fractions and Mixed Numbers

3.4 Adding and Subtracting Fractions and Mixed Numbers

3.5 Complex Fractions and the Order of Operations Applied to Fractions and Mixed Numbers

3.6 Applications

4.1 Place Value

4.2 Rounding Decimals

4.3 Adding and Subtracting Decimals

4.4 Multiplying Decimals

4.5 Dividing Decimals

4.6 Square Roots of Decimals

4.7 Order of Operations Applied to Decimals

4.8 Applications

5.1 Fraction and Decimal Conversions

5.2 Rate and Ratio

5.3 Length, Distance, and Weight

5.4 Unit Pricing

5.5 Dimensional Analysis

5.6 Solving Equations by Division

5.7 Proportions

6.1 What Are Percents?

6.2 Basic Percent Problems

6.3 Solving Percent Word Problems

6.4 Applications

7.1 Perimeter and Area

7.2 Circles

7.3 Volume

7.4 Applications

8.1 Basic Notation

8.2 Adding and Subtracting Signed Numbers

8.3 Multiplying and Dividing Signed Numbers

8.4 Order of Operations Applied to Signed Numbers

8.5 Applications

8.6 The Real Number System

9.1 Basic Rules of Exponents Applied to Multiplication

9.2 Algebraic Substitution

9.3 Combining Like Terms and the Distributive Property

9.4 Translating Words into Mathematical Symbols

10.1 Solving Linear Equations in One Variable

10.2 Notations and Graphs of Inequalities

10.3 Solving Linear Inequalities in One Variable

10.4 Applications

11.1 Reducing Fractional Expressions

11.2 Multiplying and Dividing Fractional Expressions

11.3 Adding and Subtracting Algebraic Fractions

11.4 Solving Fractional Equations and Inequalities

11.5 Ratios and Proportions

12.1 More Basic Rules of Exponents

12.2 Zero and Negative Exponents

12.3 Scientific Notation

12.4 Introduction to Polynomials, Multiplying Polynomials, and Special Product Rules

13.1 The Greatest Common Factor and Factoring by Grouping

13.2 The Difference of Two Squares and the Sum and Difference of Two Cubes

13.3 Factoring Trinomials: Leading Coefficient is One

13.4 Factoring Trinomials: Leading Coefficient is NOT One

13.5 Solving Equations by Factoring

13.6 Dividing Polynomials

14.1 Reducing Rational Expressions

14.2 Multiplying and Dividing Rational Expressions

14.3 Adding and Subtracting Rational Expressions and Solving Rational Equations and Inequalities

14.4 Absolute Value Equations and Inequalities

14.5 Simplifying Complex Fractions

14.6 Solving Literal equations

14.7 Applications

15.1 The Cartesian Coordinate System and Graphing Linear Equations

15.2 Finding and Intepreting the Slope of a Linear Equation

15.3 Writing the Equation of a Line

16.1 Solving Systems of Linear Equations Using the Graphing Method

16.2 Solving Systems of Linear Equations by the Elimnation and Substitution Methods

16.3 Applications

17.1 The Basics

17.2 Adding and Subtracting Radical Expressions

17.3 Multiplying Radical Expressions and Rationalizing Denominators

17.4 Solving Radical Equations

18.1 Solving Quadratic Equations Using the Factoring Method

18.2 Solving Quadratic Equations Using the Square Root Method

18.3 Solving Quadratic Equations Using the Completing the Square Method

18.4 Solving Quadratic Equations Using the Quadratic Formula

18.5 Graphing Quadratic Equations and Applications of Quadratic Equations

18.6 Complex Numbers and Complex Solutions to Quadratic Equations