Algebra I - 2nd block

We covered a lot of new material in class today.  It is extremely important that you complete the notes given in class and that you also complete the examples we review in class.  Your homework is to complete all problems on the first three sides of your packet.  Following is a summary of notes and links from our class today.
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Monomial - a number, a variable or a product of a number and variable(s).  All of the exponents must be positive integers.  Variables are not allowed in the denominator (it is okay to have a constant in the denominator).
Polynomial - a monomial or the sum or difference of monomials
Binomial - a polynomial with two terms (two monomials)
Trinomial - a polynomial with three terms (three monomials)

Like Terms - terms that have the exact same variables and exponents; constants are like terms

Adding Polynomials:  Combine like terms.  The variables and exponents stay the same.  Combine the coefficients (the numbers in front of the variables).  

Please remember your sign rules.  When adding numbers with the same sign, keep the sign and add the numbers.  When adding numbers with different signs, keep the sign of what you have more of and then take the difference.

Subtracting polynomials:  Change the signs of ALL OF THE TERMS INSIDE THE PARENTHESIS immediately after the " - "  (substraction sign).  Then, combine like terms.

Links to the videos we watched in class today:

What is a monomial
http://www.virtualnerd.com/algebra-1/exponents-exponential-functions/monomial-definition

What is a polynomial
http://www.virtualnerd.com/algebra-1/exponents-exponential-functions/polynomial-definition.php

How to find the degree of a monomial or polynomial
http://www.virtualnerd.com/algebra-2/polynomials/operations/simplifying-expressions/polynomial-degree-definition

How to add polynomials
http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/add-subtract/add/addition-example

How to subtract polynomials
http://www.virtualnerd.com/algebra-2/polynomials/operations/simplifying-expressions/subtraction-example