In Old Testament era, people offered sacrifice for sins and therefore released them from punishment due to that particular sins; In New Testament era, however, Jesus offered Himself for sins of all who trust Him and released His people from eternal punishment.
1 Gen 31:54 Then Jacob offered a sacrifice on the mountain, and called his kinsmen to the meal; and they ate the meal and spent the night on the mountain.
3 Ex 3:18 "They will pay heed to what you say; and you with the elders of Israel will come to the king of Egypt and you will say to him, 'The LORD, the God of the Hebrews, has met with us. So now, please, let us go a three days' journey into the wilderness, that we may sacrifice to the LORD our God.'
4 Ex 5:3 Then they said, "The God of the Hebrews has met with us. Please, let us go a three days' journey into the wilderness that we may sacrifice to the LORD our God, otherwise He will fall upon us with pestilence or with the sword."
5 Ex 5:8 "But the quota of bricks which they were making previously, you shall impose on them; you are not to reduce any of it. Because they are lazy, therefore they cry out, 'Let us go and sacrifice to our God.'
7 Ex 8:8 Then Pharaoh called for Moses and Aaron and said, "Entreat the LORD that He remove the frogs from me and from my people; and I will let the people go, that they may sacrifice to the LORD."
9 Ex 8:26 But Moses said, "It is not right to do so, for we will sacrifice to the LORD our God what is an abomination to the Egyptians. If we sacrifice what is an abomination to the Egyptians before their eyes, will they not then stone us?
11 Ex 8:28 Pharaoh said, "I will let you go, that you may sacrifice to the LORD your God in the wilderness; only you shall not go very far away. Make supplication for me."
12 Ex 8:29 Then Moses said, "Behold, I am going out from you, and I shall make supplication to the LORD that the swarms of flies may depart from Pharaoh, from his servants, and from his people tomorrow; only do not let Pharaoh deal deceitfully again in not letting the people go to sacrifice to the LORD."
14 Ex 12:27 you shall say, 'It is a Passover sacrifice to the LORD who passed over the houses of the sons of Israel in Egypt when He smote the Egyptians, but spared our homes.'" And the people bowed low and worshiped.
15 Ex 13:15 'It came about, when Pharaoh was stubborn about letting us go, that the LORD killed every firstborn in the land of Egypt, both the firstborn of man and the firstborn of beast. Therefore, I sacrifice to the LORD the males, the first offspring of every womb, but every firstborn of my sons I redeem.'
16 Ex 18:12 Then Jethro, Moses' father-in-law, took a burnt offering and sacrifices for God, and Aaron came with all the elders of Israel to eat a meal with Moses' father-in-law before God.
17 Ex 20:24 'You shall make an altar of earth for Me, and you shall sacrifice on it your burnt offerings and your peace offerings, your sheep and your oxen; in every place where I cause My name to be remembered, I will come to you and bless you.