Sacrifice

Hebrews 11:4; Leviticus 17:11; Ephesians 5:2; Hebrews 9:26; Hebrews 10:4,12,26; Romans 3:25; Romans 4:24-25; 1 Corinthians 15:1-4; Romans 12:1; 2 Corinthians 8:5; Philippians 4:18; Hebrews 13:15-16; 1 Peter 2:5
As a technical religious term “sacrifice” designates anything which, having been devoted to a holy purpose, cannot be called back. In the generality of sacrifices offered to God under the law the consciousness is supposed in the offerer that death, as God’s judgment, was on him; hence the sacrifice had to be killed that it might be accepted of God at his hand. In fact the word sacrifice often refers to the act of killing.
The first sacrifice we read of was that offered by Abel, though there is an indication of the death of victims in the fact that Adam and Eve were clothed by God with coats of skins. Doubtless in some way God had instructed man that, the penalty of the fall and of his own sin being that his life was forfeited, he could only appropriately approach God by the death of a substitute not chargeable with his offense; for it was by faith that Abel offered unto God a more excellent sacrifice than Cain (Heb. 11:44By faith Abel offered unto God a more excellent sacrifice than Cain, by which he obtained witness that he was righteous, God testifying of his gifts: and by it he being dead yet speaketh. (Hebrews 11:4)). God afterward instructed Cain that if he did not well, sin, or a sin offering, lay at the door.
The subject was more fully explained under the law: “The life of the flesh is in the blood: and I have given it to you upon the altar to make an atonement for your souls: for it is the blood that maketh an atonement for the soul” (Lev. 17:1111For the life of the flesh is in the blood: and I have given it to you upon the altar to make an atonement for your souls: for it is the blood that maketh an atonement for the soul. (Leviticus 17:11)). Not that the blood of bulls and of goats had any inherent efficacy to take away sins; but it was typical of the blood of Christ which is the witness that they have been taken away for the believer by Christ’s sacrifice.
Christ appeared once in the end of the world “to put away sin by the sacrifice of himself;” and He having once died, there remains no more sacrifice for sins (Eph. 5:22And walk in love, as Christ also hath loved us, and hath given himself for us an offering and a sacrifice to God for a sweetsmelling savor. (Ephesians 5:2); Heb. 9:2626For then must he often have suffered since the foundation of the world: but now once in the end of the world hath he appeared to put away sin by the sacrifice of himself. (Hebrews 9:26); Heb. 10:4,12,264For it is not possible that the blood of bulls and of goats should take away sins. (Hebrews 10:4)
12But this man, after he had offered one sacrifice for sins for ever, sat down on the right hand of God; (Hebrews 10:12)
26For if we sin wilfully after that we have received the knowledge of the truth, there remaineth no more sacrifice for sins, (Hebrews 10:26)
). Without faith in the sacrificial death of Christ there is no salvation, as is taught in Romans 3:2525Whom God hath set forth to be a propitiation through faith in his blood, to declare his righteousness for the remission of sins that are past, through the forbearance of God; (Romans 3:25); Romans 4:24-2524But for us also, to whom it shall be imputed, if we believe on him that raised up Jesus our Lord from the dead; 25Who was delivered for our offences, and was raised again for our justification. (Romans 4:24‑25) and 1 Corinthians 15:1-41Moreover, brethren, I declare unto you the gospel which I preached unto you, which also ye have received, and wherein ye stand; 2By which also ye are saved, if ye keep in memory what I preached unto you, unless ye have believed in vain. 3For I delivered unto you first of all that which I also received, how that Christ died for our sins according to the scriptures; 4And that he was buried, and that he rose again the third day according to the scriptures: (1 Corinthians 15:1‑4).