It may help to understand what energy is. Let me try and come up with a decent explanation.
Let's say we have object A that we want to accelerate. So I go ahead and apply a force until this object reaches whatever velocity I want. Applying this force over a distance is what we call work. Using math, I can quantify everything I just did by the formula w=fd. So let's add some numbers.
Let's say I applied 10 Newtons of force over 10 meters. 10 x 10 = 100 joules of work done.
So I've done work, accelerated this object, and used math to calculate exactly what occurred. But what if I want to figure out how much work I COULD have done without actually performing it? This is where energy is useful. It let's us know how much work, of any type, we are able to perform given a systems initial conditions.
For example, if I have a pool ball rolling along the table at X velocity, knowing the mass and velocity of the ball I can determine what will happen when that ball hits another ball. In other words, I am predicting how much work that ball can perform on another in the future based on the conditions of the ball (and everything else on the table) in the present. A useful concept, eh?
Now, as we've observed, when objects move around and interact these quantities move around also. That object I performed 100 joules of work on can now be said to have 100 joules of kinetic energy that can be transferred to other objects and even turned into other types of energy, such as radiation or thermal energy.
Let's say we place that moving object in a system where nothing else is moving. Let's also say that our kinetic energy will remain kinetic energy and never be anything else. (Which isn't the case in the real world, but works for our example) If we watch the object collide with other objects we will see that as the energy gets transferred around between everything in the system, we will NEVER have any more or any less than 100 joules of total energy within that system. So while it may get split up between objects, with perhaps one having 50 joules, another having 30, and another having 20, the total will always be 100. So we say that energy is conserved. It never just disappears.
Does all that make sense so far?