When I was playing the game I chose the integer, fraction, and decimal levels. Most of them were preety easy but some questions took time to think about them and to solve them. The easiest one for me from all of them was probably the integer one. When I was playing the math game with the fraction level it was really hard I literally had paper next to me so that I was able to figure their difference. I also had a little trouble with the decimals but besides that everything was basic math that I had learned before. 
      There was a problem that I was stuck with for like 5 minutes it was something like 3/4 and 5/1 and the difference that I got the first time was wrong then I got  34/8 or something like that I  sincerly don't remember but I know it was really hard for me. I also had a little bit of trouble on the decimal one with questions that I couldn't do in my head because they were either too long or just to difficult for me.
     All this was really hard, easy and challenging.
 
      An inequality that has an "equal to " needs a closed dot instead of an opened  one because when you are to graph it, it indicates that it includes that number. For example, if you were to graph an inequality like 3+x is greator than or equal to 3, the equal means that it is including that specific number. In this case the number would be the 3, because it is including it.
      In a graph the inequality  3+x is grater than or equal to, the graph would have the dot closed dot because it includes that specific. The rest of the graph would have an arrow going left becasue the greator sign is also included. Even though it is just one inequality it has double things, both the closed dot ( which is closed because it includes it, there is a possibility that it can be the anwer or that it is greater tha that ) and the arrow are both shown in the graph. Now the answers are possible form 3 and greator , that leaves you with a lot more possibilites.
 
     Sometimes when you are doing math there will be things you won't understand, but when that happens I use methods that I know have helped me before. Sometimes when I have hard algebra homework and I don't understand how to do it the first thing I usually do is ask for help, either from my sister or an adult. That way they can explain to me how they do it and what  steps do they use.
      After I have understood what you are suppose to do I usually try to plug in numbers and see what answers come up or what happens to the problem if I use that number. That usually helps if it is an equation, but not if it is an equality or multiple problems in that single problem. Asking for help always is my favorite becasuse as soon as I understand how it is suppose to be done I know how to do the rest!

 
      I think that if we were not able to divide, because there was no such thing as dividing, I would multiply or plug numbers in to find the answer. For example, lets take 2x=16 as the problem. One methos you can do is multiply by what you would have divided, in this case by two, and you would do  it as a decimal or fraction. So, in this problem it would be either by .5 or 1/2. After you figure that out you multiply it by 16 by .5 and you will get 8 which will be the answer to x.
     That or you can multipy both sides by 1/2 and that is what you can  do  to figure the answer easier and faster. Sometimes you can even check your answers by plugging the number you got as an answer and see if the equation is right or correct if it is you got it right if it is not you got the problem wrong and you will have to redo the problem.

 
  1.      In between 0 and 1 there are infinite amount of numbers. That is because we need fractions and decimals to do our math and to be able to do equations ands problems that don't only need a whole number, but also halfway or even a third of that number ! That way we can use not only whole numbers, but also  patrs of a number . Another thing is that  there are infinite numbers between 1 and 0 because in order for a number to be whole you need to have so many other parts to make it even to be the sum to what will be the whole number again. 
  2.        This is what I think about the infinite numbers, and it may not be true, or maybe it is this is what I think ! I personally talked to my algebra teacher and I do not remember much about the number like that,  mainly because  we do not review the basics anymore, just equations and variables!
 
     You might already noticed that in a fraction, when  the denominater gets larger the decimal gets smaller! Why is that, it is because if you were to have a pie or a pizza, and you divided into the pieces you wanted the portion  will be smaller than as if you were eating it by yourself or if you were just sharing with one other person. For example, let's take a pizza and divide it by 6 pieces, you would get 1/6 of it right? The thing is that as the number of that you are dividing or seperating gets larger the decimal will get smaller because it has to be smaller and even, so if you wouldput them back together it would equal one whole.  The thing is the decimals need to be smaller so that when you add them all it would all fit together and you would not have to be have some bigger than the others.
          Another reason the decimal is smaller is because the fraction is bigger and it is forming closer to a whole so less numbers are needed to make the decimal in a portion. For examlpe you order a cake that is already cut into 10 pieces, the fraction would be 10/10 and as a decimal t would be 1.0 , andif you would eat 6 pieces out of those 10, the new fraction would be 4/10 or 2/5 which would be .40. To make the story short the answer would be that the decimal gets smaller because you are dividing the numinator by the deanminator so, it makes a smaller qoutient so the decimal is smaller.
 
  I passed the algebra test this year and now I am  taking algebra, and my teacher is  Mr.Erickson. I have gone by every lesson quite smoothly almost without any trouble! There was one I had the most trouble with it and it was the 1st one, integers!!!I don't know but even last year that was so hard for me to be able to understand, it is just that subtracting and adding them is sometimes what I have the most trouble with. My problem was mostly subtracting integers like maybe a negative subtracting a negative from a negative or a positive from  a negative.
          Then we did an activity called , tug of war, it was a atlle between the good guys ( positive ) and the bad guys , ( negatives ). When we started doing some problms like that I started refering most of my problems  that I did as the game and it really helped. It also helped me because we used the number line, although I was using the number line I was getting less and less  used to it then after a few days I started  doing it on my own! Then the next thing I knew I was doing it on my own without a number line, I was so proud of myself!