Chapter+01+Notes

The icons on this page are for the scanned notes for the class. Each section of the book //Algebra 2// has its own page of notes. Some of the earlier sections will also have the solutions to the assigned homework problems. In the interest of saving page space size I will not be continuing this practice for future pages of notes. All pages are in PDF format.

The main focus of this chapter is a brief review of materials that should have been covered in previous math classes. The break down is as follows:

Properties of real numbers including number groups, and basic laws of numbers such as the Commutative, Associative, Identity, Inverse, and Distributive Properties are discussed in this section.

Section 2 moves on to Algebraic Expressions, what it means to evaluate an expression and simple laws when working with expressions such as the definitions of subtraction and division, and properties of opposite opperations.

Now we move on to the solving of actual equations. These equations follow simple processes and properties including Reflexive, Symmetric, and Transitive properties. A series of examples in the textbook are helpful reminders of the steps of simplification of equations.

Having worked with equations we are now move onto inequalities. The main thing to remember when solving inequalities is that they behave the same as the equations but that the direction of the sign changes whenever we multiply or divide both sides by a negative number.

Here we touch a bit on absolute value equations and inequalities. An absolute value is the magnitude that an item is from zero. This become a bit of a challenge in two ways: first is the thought that distance is never negative so an absolute value can never equal a negative number; second is that what is in the isolated absolute value must relate to both the positive and the negative value of the other side of the equation or inequality. Here we continued our previous discussion.

Section 6 was a brief touch on probabilities including the three types of probabilities that are typically found: Experimental being based on actual occurances, Theoretical being based solely on the numerical calculations, and Simulation based on a predesigned set of rules that govern an experimental designed to represent something that cannot easily be experimented with.