-Cracking (thermal or catalyctic) are reactions where alkanes are reacted to form an alkane and an alkene.
As well as a special case (dehydrogenation), where alkane --> alkene + H2
-Catalyst is an inorganic substance that increases the rate of reaction by lowering the activation energy required for the reaction. Enzymes do the same thing, but are organic, highly specific, and will only function in a narrow range of conditions.
Enzymes only work under certain conditions, but these are often a few thousand times more effective than artificial catalysts. Also, most artificial catalysts are prone to being 'poisoned' (i.e. form complexes with reactants/intermediates) and degrade in their effectiveness over time. Most catalysts work by providing alternative pathways.
-Activation energy is the amount for energy required to begin a chemical reaction.
Think of a reaction as reactants --> break bonds --> intermediate --> form new bonds --> products. Thus, the energy required to break bonds must be added for the reaction to proceed. A catalyst decreases this energy by participating in the reaction, forming a different intermediate at lower energy, thus less energy is required to break bonds.
I don't really get what you mean by equilibrium. I would just use that term to describe mole ratios.
'The reaction is complete when the reactants are in equilibrium, according to the mole ratio.'
Something like that.
I'm not quite sure what you mean, but equilibrium is in unit 4. I would avoid mentioning it in a unit 3 exam. Equilibrium is related to mole ratios, but in a different way. Equilibrium concentrations themselves don't actually have a direct relationship to the mole ratio. You will learn more about these in a few months.