There are many different areas within algebra: linear algebra, algebraic structures, algebraic geometry, vector algebra and so on. Some properties are valid in only some of these and not in others. You need to understand what the properties mean and perhaps keep in mind one or two examples where the property is valid.
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Crack.
To do WELL in Algebra 2, you will need to remember part of Algebra 1. However, your teacher should go over part of Algebra 1. I did poorly in Algebra 1, though Algebra 2 now makes sense to me simply because I needed to understand it to understand Algebra 2, and I was able to infer the things that I was unsure of.
Tropical math is a kind of arithmetic and algebra in which addition of two number is their minimum and multiplication is their sum. This has some properties similar to ordinary arithmetic and algebra but other properties are different.
properties are based on axioms
Calculating dimensions of properties.
There are so many of them that it is not possible to list them all.
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if you put your mind to it it is not really hard just rember your properties
Algebra
the rules that you have to apply when adding ,subtracting, multiplying or dividing go to this webpage for a proper explanation http://math.about.com/od/algebra/a/distributive.htm
by memorise