You can only invent if you have Sims 3: Ambitions. When you get it, go to buy mode, then under the hobbies tab, there will be an inventing table. You buy the table/desk thing and put it wherever. WARNING: WHEN YOUR SIM IS INVENTING THEIR BUTT MAY CATCH FIRE AND THEY MIGHT BURN TO DEATH.
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I only have sims 3 for iPhone (swell as sims 3 ambitions) but I don't think you can have kids in just sims 3. As for sims 3 ambitions, I think you need to bemarried first and after a couple of other 'romantic' things it will become an option.
The Sims 3 is the base game for the whole Sims 3 franchise. To play the Sims 3 Generations, you must have the base game. Sims 3 Generations is an expansion pack which includes things like new hair, clothing, and furnishing. You are also able to record home movies as a Sim, take afterschool classes (ballet and scouting) as a child, and do tons more. The Sims 3 Generations makes things like prom and graduation available for teen Sims. Sims 3 Generations focuses a great deal on the teen and children section of Sims lives.
If you have a cat, you can train it to be a hunter, and then after so long of gaining a higher hunting skill, the cat can capture ghosts. Or you can buy the invention table in Build & Buy mode and invent things until your invention skill is very high, making you able to invent the ghost zapper.
Lots are out. The sims 3 university, sims 3 nightlife, sims 3 adventures, sims 3 generations... you name it!
No, you cannot have Sims 2 pets on Sims 3. You must have Sims 3 pets for Sims 3 or Sims 2 pets for Sims 2.