Throughout pre- algebra, I figured that the math isn't as simple as it seems. Some topics were more challenging then others, yet they all connected somehow.  I believe that the hardest topic was combing like terms. The confusing part was mainly what side of the equation to work on first, and the fact that there was only one answer. For the answer of these questions, I would finalize huge numbers, yet it was hard to explain how I got it. Combing like terms wasn't as hard when you only had one number, or variable on the other side of the equal sign, but when the have several numbers, and exponents, and variables, I would always become utterly confused.
           The solution was not coming to me. I would have to constantly go into my math teachers room, and she would explain the same things over and over. Combing like terms was not settling inside of my head. I looked inside the math book, and the examples made a bit more sense, then I went and asked my family, and I finally got a solution. It was simple, and I was amazed a how I had learned it in such a short period of time. Combing like terms is know one of my favorite concepts, and I'm thankful to those who had helped me overcome this challenge. 

One day, while April had been walking outside, she had wanting to do something constructive. The first thought that came to mind, was painting. She would need something to paint on, so instead of painting on an empty canvas, she decided to paint the roof. The task would be a bit risky, but she knew that her ladder would be stable. She asked her parents for permission, then a couple seconds later, she was setting up the ladder. Her house was 14 feet tall, and the distance from the house and ladder was about 5 feet. She didn't exactly know what the height of her ladder was, and that would seem to be too dangerous. What is the height of her ladder? Well, the first step in this problem would be to square a and b. A and b represent the height of her house, and the distance from the house to the ladder.
             The next thing would be to square everything, then you can find the length of c. C will always be the hypotenuse, or the line that is across from the 90 degree angle of the triangle. Since the formula is a squared+ b squared= c squared, you would take square a, then square b. The result would be c squared, so then you would need to find the square root of c, and that will be your final resolution. The height of the ladder is approximately 15 feet tall.

                The ultimate definition of a square root, is a number that is mad up of two of the same numbers. For example, if you have the number 49, the square roots of 49 would be 7, because 7 times 7 is 49. Then, you would have to worry about the two types of square roots. Perfect square roots, and non perfect square roots. The perfect square root would be exactly like 49, because 7 is a whole number. 35 would have a non perfect square root, because two of the same whole numbers multiplied together wouldn't equal 35. Another name for a square root would simply be the two numbers multiplied together. When you have a square root, you can either decide if it is irrational, or rational.
                 Irrational number would be exactly like pi. Pi is a decimal that goes on forever, but doesn't repeat the same number. The symbol for a rational number would be the first two number of the decimal with a line over it, indicating that the number does repeat itself over, and over. Once you figure if it is rational or irrational, you can now find if it is real or unreal. Anything divided by zero would be considered unreal, and the other number are considered real. If you ever had a number that wasn't rational, you could always find the two numbers around it that have a perfect square root. Say, you had the number 45, you would find the closest perfect square roots, which would be 36, and 49.