Teach Yourself VISUALLY Algebra
Title: Teach Yourself VISUALLY Algebra
Author: David Alan Herzog
Groups of Numbers.
Ways of Showing Things in Algebra.
Properties and Elements.
Exponents and Powers.
Square Roots and Cube Roots.
Zero, FOO, and Divisibility.
Chapter 2: Signed Numbers.
Introducing Signed Numbers.
Adding Balloons and Sandbags.
Subtracting Balloons and Sandbags.
Understanding Number Lines.
Adding Signed Numbers.
Subtracting Signed Numbers.
Minus Sign before Parentheses.
Letter Carrier Stories to Illustrate Multiplication.
Multiplying Signed Numbers.
Dividing Signed Numbers.
Chapter 3: Fractions, Decimals, and Percents.
The Concept of Fractions.
Adding and Subtracting Signed Fractions.
Multiplying and Dividing Signed Fractions.
Multiplying and Dividing Mixed Numbers.
Simplifying Complex Fractions.
Changing Decimals to Fractions.
What Are Percents?
Finding a Percent of a Number.
Understanding Scientific Notation.
Chapter 4: Variables, Terms, and Simple Equations.
Constants and Variables.
Coefficients and Factors.
Solving One-Variable Equations.
Adding and Subtracting Variables.
Changing Repeating Decimals to Fractions.
Solving Equations Using Multiple Steps.
Multiplying and Dividing Variables.
Chapter 5: Axioms, Ratios, Proportions, and Sets.
Axioms of Equality.
Defining and Creating Ratios.
Chapter 6: Monomials, Binomials, and Systems of Equations.
Creating Systems of Simultaneous Equations.
Solving Systems of Equations by Substitution.
Chapter 7: Polynomials and Factoring.
Chapter 8: Cartesian Coordinates.
Finding the Slope and Intercepts.
Graphing Linear Equations by Slope and Intercept.
Finding the Equation of a Line.
Writing Equations in Point-Slope Form.
Graphing Systems of Equations.
Chapter 9: Inequalities and Absolute Value.
Graphing Inequalities on a Number Line.
Solving Inequalities by Adding and Subtracting.
Solving Inequalities by Multiplying and Dividing.
Understanding Absolute Value.
Inequalities and Half-Planes.
Chapter 10: Algebraic Fractions.
Introducing Algebraic Fractions.
Simplifying Algebraic Fractions.
Multiplying Algebraic Fractions.
Dividing Algebraic Fractions.
Adding and Subtracting Algebraic Fractions.
Chapter 11: Roots and Radicals.
Operations with Square Roots.
Chapter 12: Quadratic Equations.
Standard Quadratic Equation Form.
Solving Quadratic Equations by Factoring.
Solving Quadratics by Completing the Square.
Solving Quadratic Equations by Formula.
Chapter 13: Algebraic Word Problems.
Techniques for Translating Problems into Equations.
Types of Problems.