If so, tell us why god put her in Eden and on earth if he had no jobs for her to do?
The Creator put satan a jinn who is an 'it' in heaven and then earth based on reasons only known to God may he be Exalted and Glorified. Satan is a test and a trial for humans. Whoever obeys God and disobeys satan will make it to paradise and whoever obeys satan and disobeys God will be destined for hell.
The Creator gave him freewill and he chose disbelief and disobedience after reaching the level of the angels who can not disobey God. His righteousness was tested and he failed, disobeyed and did not repent. Human beings have to follow the example of Adam and Eve peace be upon them who repented after sinning. We ask the Creator to keep us away safe and sound from his path.
Allaah says (interpretation of the meaning):
"(Remember) when your Lord said to the angels: 'Truly, I am going to create man from clay. So when I have fashioned him and breathed into him (his) soul created by Me, then you fall down prostrate to him.' So the angels prostrated themselves, all of them, except Iblees (Satan), he was proud and was one of the disbelievers. (Allaah) said: 'O Iblees (Satan)! What prevents you from prostrating yourself to one whom I have created with Both My Hands. Are you too proud (to fall prostrate to Adam) or are you one of the high exalted?' [Iblees (Satan)] said: 'I am better than he.You created me from fire, and You created him from clay.' (Allaah) said: "Then get out from here; for verily, you are outcast. And verily, My Curse is on you till the Day of Recompense.' [Iblees (Satan)] said: "'My Lord! Give me then respite till the Day the (dead) are resurrected.' (Allaah) said: 'Verily, you are of those allowed respite Till the Day of the time appointed.' [Iblees (Satan)] said: 'By Your Might, then I will surely, mislead them all. Except Your chosen slaves amongst them (i.e. faithful, obedient, true believers of Islamic Monotheism).' (Allaah) said: 'The truth is - and the truth I say * That I will fill Hell with you [Iblees (Satan)] and those of them (mankind) that follow you, together.'" [Saad 38:71-85]
“And (remember) when We said to the angels: “Prostrate yourselves unto Adam.” So they prostrated themselves except Iblis (Satan). He was one of the jinn; he disobeyed the command of his Lord. Will you then take him (Iblis) and his offspring as protectors and helpers rather than Me while they are enemies to you? What an evil is the exchange for the Zalimoon (polytheists, and wrongdoers, etc).” [18:50]
“Verily, We showed him the way, whether he be grateful or ungrateful.” [76:3]
"If you disbelieve, then verily, Allaah is not in need of you, He likes not disbelief for His slaves. And if you are grateful (by being believers), He is pleased therewith for you. No bearer of burdens shall bear the burden of another…" [al-Zumar 39:7]