Mutant: If you have for instance, a bacterium and you induce mutation by UV light or chemicals etc, some gene sequences change -> you form a mutant. (relative to the origional form)
Evolution is a complex theory surrounding the development of life forms over a long period of time. You don't just "evolve" magically. Your kids (genetic ones, not adopted ones

) will have a mixture of your and your mate's DNA. This causes some variation in your genes which could have good or bad effects (either very small or can be up to very intense - genetic disease). The reason why DNA and the changes in it influence you so much is because your DNA encodes mainly every protein in your cells (it encodes other things too but mostly proteins). Your DNA is a message which describes how your proteins should look. Due to the different shapes of your proteins, you look different.
Where evolution comes in is as follows:
Lets say you're looking at some lions in an environment (I'm not using humans as an example because technology fights natural selection) which might seem the same in an environment, but they have genetic variation, meaning, different forms of the same genes. Some of these genes function better than others. Some hormones might have a stronger effect than others. Some proteins caused some of the lions to have longer and more dense muscles allowing them to run faster. Even though the differences can be small, when the lions go hunt, which ones will most likely catch prey? The ones with the small advantage on their side. The same applies to the prey (a buck for example). The faster buck gets away, survives while the slower one is caught and dies. The faster lion gets more food, survives longer. The faster buck, survives. These two animals with some advantageous genetic makeup will procreate and their offspring will get some of their "good genes". That is natural selection. "The fittest will survive". It is an important part of evolution.
Lets look at a longer period of time. An animal has short legs. It survives on slower (but can still run away) animals which are for instance, small. Over a long period of time (thousands of years) natural selection took place, allowing this animal to generally develop longer legs allowing it to run faster, allowing it to have a higher variety of food sources so chances of these improved animals to die of hunger, is smaller so they will generally have more progeny compared to their less developed ancestors, (which aren't necessarily extinct btw, but they soon will be as they have trouble competing against their more developed counterparts) . This is only an example of one trait of these animals while MANY factors play a role in survival such as metabolism rates, fur density, eye sight etc. Basically anything you can think of.
That's evolution. Development, adaptation to environments, basically things that allow it to survive better.
(does it show that I'm hungry due to all my references of food?)
One thing people for some reason believe, is that for a specific part to evolve, there must be an immediate advantage for having the particular trait. This is not true. The chances are smaller for this trait to increase drastically in number (due to no obvious advantage) but over long periods of time, the particular trait will still undergo some changes (due to mutations) and later they might develop some really minute advantages for an organism which will lead to it being selected for etc etc.
An example of specific traits not having any positive/negative effects while still being present in many animals is for instance my dog. He has these extra toes lacking bones on his back legs. This is supposedly observed now and then in some dog species. The toes hold no advantage since it contains no bone nor tendon. They just "hang around". I'm not saying this is going to evolve into anything, I'm merely using the example to indicate that some "useless" genes are present in many genomes and they don't necessarily just vanish instantly because they have no positive/negative effects.
I hope that you get the idea what evolution is all about. There are many complicated genetic factors which I did not mention. I used simple examples to make it more understandable. I hope I succeeded
