Conceptual Algebra I

3 Real Numbers

Properties of Real Numbers

An introduction to the properties of real numbers.

The Distributive Law

Examples of the distributive law

Watch these additional videos to complete this tutorial.

Table of Videos

1 Introduction
- 1.1 Introduction
2 Sets
- 2.1 Set Theory
- 2.2 Set Operations and Venn Diagrams
3 Real Numbers
4 Expressions
- 4.1 Expressions
- 4.2 Simplifying Expressions
5 Polynomials
- 5.1 What is a Polynomial
- 5.2 Adding and Subtracting Polynomials
- 5.3 Multiplying Polynomials
6 Factoring
- 6.1 What is Factoring?
- 6.2 Factoring—The Fundamental Four
7 Rational and Radical Expressions
- 7.1 Rational Expressions
8 Equations
- 8.1 Equations
- 8.2 Solving Equations
- 8.3 The Principle of Equality
- 8.4 Rational Equations
9 Linear Equation Applications
- 9.1 Related Quantities
- 9.2 Motion
- 9.3 Mixtures
- 9.4 Work
10 Linear Inequality, Absolute Value, and Radical Equations
- 10.1 Linear Inequality
- 10.2 Absolute Value Equations
- 10.3 Radical Equations
11 The Coordinate Plane
- 11.1 The XY Coordinate Plane and Ordered Pairs
- 11.2 Distance and Midpoint
- 11.3 The Equation of a Line in the Plane
12 Lines in the Plane
- 12.1 Slope and the Slope Intercept Equation
- 12.2 Point-Slope Equation
13 Complex Numbers
- 13.1 Complex Numbers
- 13.2 Operations with Complex Numbers
14 Functions
- 14.1 Functions
- 14.2 Key Functions
- 14.3 Function Algebra
- 14.4 Function Composition
- 14.5 Inverses of Functions
- 14.6 Even and Odd Functions
15 The Quadratic Function
- 15.1 Quadratics
- 15.2 The Vertex Form and Graphing Quadratics
16 Quadratic Equations
- 16.1 Factoring and Completing the Square
- 16.2 The Quadratic Formula
- 16.3 The Discriminant
17 Applications of Quadratic Functions
- 17.1 Some Geometry
- 17.2 Cost and Profit
- 17.3 Projectiles
18 Polynomial Equations and Graphs
- 18.1 The Principle of Zero Products
- 18.2 The Fundamental Theorem of Algebra
- 18.3 Synthetic Division
- 18.4 Graphing Polynomials
- 18.5 Examples of Graphing Polynomials
19 Exponential and Logarithmic Functions
- 19.1 Exponential Functions
- 19.2 Logarithmic Functions
- 19.3 Exponential and Logarithmic Equations
- 19.4 Epilogue