ask, desire, make (petition), pray, request, seek

Concise Bible Dictionary:

This has been described as “the intercourse of a dependent one with God.” It may take the form of communion in one brought nigh, or it may be the making requests for oneself or for others. There are twelve different words used for prayer in the Old Testament, and eight in the New Testament, with various shades of meaning, as there are in English: “asking, begging, beseeching.” In the synoptic Gospels the word used in connection with Christ is that most commonly employed for “praying,” but in John’s gospel the word is that generally rendered “ask” or “demand.” The change is explained by the different aspect in which the Lord is presented in John.
God hears and encourages prayer. A cry to God is the mark of a soul truly turning to Him: “Behold, he prayeth,” was said of Saul of Tarsus (Acts 9:1111And the Lord said unto him, Arise, and go into the street which is called Straight, and inquire in the house of Judas for one called Saul, of Tarsus: for, behold, he prayeth, (Acts 9:11)). To the saints it is said, “Pray without ceasing”; “ask and ye shall receive.” “If we ask anything according to His will He heareth us, and.... we know that we have the petitions.” “All things whatsoever ye shall ask in prayer believing ye shall receive.” “Whatsoever ye shall ask the Father in My name, He will give it you.” The disciples as left here, representative of Christ and charged with His interests, were to ask in His name; and the same is true in principle as regards believers now (Mark 11:2424Therefore I say unto you, What things soever ye desire, when ye pray, believe that ye receive them, and ye shall have them. (Mark 11:24); John 14:1313And whatsoever ye shall ask in my name, that will I do, that the Father may be glorified in the Son. (John 14:13); John 15:1616Ye have not chosen me, but I have chosen you, and ordained you, that ye should go and bring forth fruit, and that your fruit should remain: that whatsoever ye shall ask of the Father in my name, he may give it you. (John 15:16); John 16:23,2623And in that day ye shall ask me nothing. Verily, verily, I say unto you, Whatsoever ye shall ask the Father in my name, he will give it you. (John 16:23)
26At that day ye shall ask in my name: and I say not unto you, that I will pray the Father for you: (John 16:26)
; James 1:5-75If any of you lack wisdom, let him ask of God, that giveth to all men liberally, and upbraideth not; and it shall be given him. 6But let him ask in faith, nothing wavering. For he that wavereth is like a wave of the sea driven with the wind and tossed. 7For let not that man think that he shall receive any thing of the Lord. (James 1:5‑7); 1 John 5:14-1514And this is the confidence that we have in him, that, if we ask any thing according to his will, he heareth us: 15And if we know that he hear us, whatsoever we ask, we know that we have the petitions that we desired of him. (1 John 5:14‑15)). Christians are exhorted to make known all their petitions, or requests, to God, and having done so, the peace of God shall keep their hearts and minds (Phil. 4:6-76Be careful for nothing; but in every thing by prayer and supplication with thanksgiving let your requests be made known unto God. 7And the peace of God, which passeth all understanding, shall keep your hearts and minds through Christ Jesus. (Philippians 4:6‑7)). This is their wondrous privilege: they have addressed God, and in peace they leave it with Him to grant their petitions or not.
The above passages demonstrate that to receive what is prayed for, requests must be in faith, they must be according to the light of God’s will, and hence made in the name of the Lord Jesus. While prayer is always to God, it is suggested that requests would naturally be made to the Father in respect of all that tends to the promotion of Christ in believers, as well as in things referring to their discipline in the pathway here. On the other hand prayer would be made to the Lord in relation to that over which He is set as administrator, such as the service of the gospel, the saints, the house of God, &c.

Strong’s Dictionary of Hebrew Words:

Transliteration:
b`a’
Phonic:
beh-aw’
Meaning:
(Aramaic) or b ah (Aramaic) {beh-aw'}; corresponding to 1158; to seek or ask
KJV Usage:
ask, desire, make (petition), pray, request, seek