Algebra 2
If you are currently taking algebra two, then you know that there's a lot of notes that you'll have to keep for a long time. If you're luckey, you'll get a green boook that helps you keep all your notes together.

Not everything you learn in Algebra 2 will be shown on this page. There are some things that are better off being taught in class to understand. My best suggestion is that you pay attention in class. If that doesn't help, ask a friend or stay after school to learn more about Algebra 2. Some of the things in Algebra 2 should be reviews for you. Everything on this page are notes you should have taken in Algebra 2.

Starting in Algebra 2 the first thing you will learn is the unit 1.1 Apply Properties of real Numbers.Then continuing, you'll have 1.2, 1.3, 1.4... etc.

1.1 Apply Properties of real Numbers Notes

Vocabulary to know
  1. Opposite-(additive inverse)
    example: The opposite of a is -a
  2. Reciprocal-(multiplicative inverse)
    example:

    All you do is switch the top # and bottom #.
Subsets of real numbers

The real # consist of the rational #s and the irrational #s. Two subsets of the rational #s are the whole(0,1,2,3...) and the integers(-3,-2,-1,0,1,2,3...).
Rational #s
Can be written as...
  1. Quotients of integers
  2. Decimals that terminate or repeat
Irrational #s
Cannot be written as...
  1. Quotients of integers
  2. Decimals that terminate or repeat

Example 1 Graph real #s on the # line.

Graph the real # and on a # line.
Solution
Note that = -2.6. Use a calculator to approximate . So,graph between -2 and -1 and graph between 2 and 3.
Down below on the calculator. To be able to use the square root sign you need to first click on the # then click on sqrt. Always click on your # first if nothings seem to be working.

Calulator

This free script provided by
JavaScript Kit

Properties of Addition and Multiplication
Let a,b, and c be real #s.
Properties Addition Multiplication
Closure
Commutative
Associative
Identity
Inverse 		a+b is a real #
a+b=b+a
(a+b)+c=a+(b+c)
a+0=a,a=a
a+(-a)=0 		ab is a real #
ab=ba
(ab)c=a(bc)
ax1=a, a=a
ax1/a=1, a does not = 0
The following property involves both additon and multiplcation.

Distributive a(b+c)= ab+ac