According to the Quran the purpose of life is to worship God alone. One form of worship is to obey God's commands - to be on the "right path" as is mentioned in Sura 1:6 - "Guide us in the right path".
The following verses from the Quran detail some, but not all, of God's commands that can lead us to being on the "right path".
The Amramites 3:51
"God is my Lord and your Lord; you shall worship Him alone. This is the right path. "
The Heifer 2:108
Do you wish to demand of your messenger what was demanded of Moses in the past? Anyone who chooses disbelief, instead of belief, has truly strayed off the right path.
The Heifer 2:177
Goodness does not consist in turning your face towards East or West. The truly good are those who believe in GOD and the Last Day, in the angels, the Scripture, and the prophets; who give away some of their wealth, however much they cherish it, to their relatives, to orphans, the needy, travellers and beggers, and to liberate those in bondage; those who keep up the prayer and pay the prescribed alms; who keep pledges whenever they make them; who are steadfast in misfortune, adversity, and times of danger. These are the ones who are true, and it is they who are aware of GOD.
Thunder 13:28-29
They are the ones whose hearts rejoice in remembering God. Absolutely, by remembering God, the hearts rejoice.
Those who believe and lead a righteous life have deserved happiness and a joyous destiny.
Thunder 13:20-22
They are the ones who fulfill their pledge to God, and do not violate the covenant.
They join what God has commanded to be joined, reverence their Lord, and fear the dreadful reckoning.
They steadfastly persevere in seeking their Lord, observe the Contact Prayers [Salat], spend from our provisions to them secretly and publicly, and counter evil with good. These have deserved the best abode.
Abraham 14:18
The allegory of those who disbelieve in their Lord: their works are like ashes in a violent wind, on a stormy day. They gain nothing from whatever they earn; such is the farthest straying.
The Children of Israel 17:22-39
You shall not set up any other god beside God, lest you end up despised and disgraced.
Your Lord has decreed that you shall not worship except Him, and your parents shall be honored. As long as one or both of them live, you shall never say to them, "Uff" [the slightest gesture of annoyance], nor shall you shout at them; you shall treat them amicably.
And lower for them the wings of humility, and kindness, and say, "My Lord, have mercy on them, for they have raised me from infancy."
Your Lord is fully aware of your innermost thoughts. If you maintain righteousness, He is Forgiver of those who repent.
You shall give the due alms to the relatives, the needy, the poor, and the traveling alien, but do not be excessive, extravagant.
The extravagant are brethren of the devils, and the devil is unappreciative of his Lord.
Even if you have to turn away from them, as you pursue the mercy of your Lord, you shall treat them in the nicest manner.
You shall not keep your hand stingily tied to your neck, nor shall you foolishly open it up, lest you end up blamed and sorry.
For your Lord increases the provision for anyone He chooses, and reduces it. He is fully Cognizant of His creatures, Seer.
You shall not kill your children due to fear of poverty. We provide for them, as well as for you. Killing them is a gross offense.
You shall not commit adultery; it is a gross sin, and an evil behavior.
You shall not kill any person - for God has made life sacred - except in the course of justice. If one is killed unjustly, then we give his heir authority to enforce justice. Thus, he shall not exceed the limits in avenging the murder, he will be helped.
You shall not touch the orphans' money except for their own good, until they reach maturity.You shall fulfill your covenants, for a covenant is a great responsibility.
You shall not accept any information, unless you verify it for yourself. I have given you the hearing, the eyesight, and the brain, and you are responsible for using them.
You shall not walk proudly on earth - you cannot bore through the earth, nor can you be as tall as the mountains. All bad behavior is condemned by your Lord. This is some of the wisdom inspired to you by your Lord.
You shall not set up another god beside God, lest you end up in Gehenna, blamed and defeated.
Luqmaan 31:17-19
"O my son, you shall observe the Contact Prayers [Salat]. You shall advocate righteousness and forbid evil, and remain steadfast in the face of adversity.
These are the most honorable traits.
"You shall not treat the people with arrogance, nor shall you roam the earth proudly. God does not like the arrogant showoffs.
"Walk humbly and lower your voice - the ugliest voice is the donkey's voice.”
Thanks to http://www.masjidtucson.org/ for permission to use Rashid Kalifa's translation of the Quran.