To me, "Belief" and "Faith" as used in the New Testament are almost identical in meaning and synonomous.
"Believe" occurs 152 times in 140 verses in the NASB...mostly in the NT.
G4103 pistos ~= faithful, believe, believing, true, faithfully, believer, sure
G4100 pisteuo = ~believe, commit unto, commit to (one's) trust, be committed unto, be put in trust with, be commited to one's trust, believer
John 1:12 (NASB)
...But as many as RECEIVED Him (spiritually!), to them He gave the right to become children of God ,
even to those who BELIEVE (G4100) in His NAME,...
Romans 10:9,13-15 (NASB)
...that IF you confess (agree with God) with your mouth (mind) Jesus as LORD, AND
BELIEVE (G4100) in your heart (spirit) that God (the Father) raised Him (God the Son) from the dead,
you will (certain to) be SAVED (from eternal estrangement);
....for “WHOEVER WILL CALL ON THE NAME OF THE LORD WILL BE SAVED.”
How then will they call on Him in whom they have not BELIEVED?
How will they BELIEVE in Him whom they have not heard?
And how will they hear without a preacher?
How will they preach unless they are sent?
"Faith" occurs 250 times in 232 verses in the NASB ...all but 4 verses in the NT.
G4102 pistis (pe'-stes) = ~faith, assurance, believe, belief, them that believe, fidelity
Hebrews 11 (NASB) ...Biblical examples of The Triumphs of FAITH...DEFINITIONS and EXAMPLES
1. Now FAITH is the (spiritual) assurance of things HOPED for,
the CONVICTION of things (+ truths) not seen.(nor proven!)
For by it (faith) the "men of old" (OT heroes) gained approval. ( AND mankind today gains salvation)
John 6: 28-29
28 Then they (disciples) asked him, "What must we do to do the WORKS God requires?"
29 Jesus answered, "The work of God is this: to BELIEVE in the one he has sent." ...
John 3 ...extracts...Jesus to the inquiring Nicodemus
'You must be born again (spiritually).'
The wind blows wherever it pleases.
You hear its sound, but you cannot tell where it comes from or where it is going.
So it is with everyone born of the Spirit....(NEED fulfilled...a NEW LIFE... CHANGED SPIRIT)
Just as Moses lifted up the snake in the desert,
so the Son of Man must be lifted up, (crucified ?)
that everyone who BELIEVES in him may have eternal life.
Ephesians 2 ...Made Alive in Christ
1 As for you (believers), you WERE dead in your transgressions and sins,
2 in which you used to live when you followed the ways of this world and of the ruler of the kingdom of the air, the spirit who is now at work in those who are disobedient. 3 All of us also lived among them at one time, gratifying the cravings of our flesh (sin nature)
and following its desires and thoughts. Like the rest, we were BY (spiritual) NATURE deserving of wrath.
4 But because of His great (unconditional) love for us, God, who is rich in mercy,
5 made us alive with Christ even when we were dead in transgressions
—it is by grace you HAVE BEEN saved.
6 And God raised us up with Christ and seated us with him in the heavenly realms in Christ Jesus,(spiritual position)
7 in order that in the coming ages he might show the incomparable riches of his grace,
expressed in his kindness to us in Christ Jesus.
8 For it is by (undeserved) Grace you have been saved, THROUGH (spirit-led) FAITH—
and this (FAITH) is not from yourselves,
it is the GIFT of God—
9 NOT by "works", so that no one can boast.(of their own FAITH or WORKS!)
10 For we are God’s handiwork, created in Christ Jesus TO DO (unto) "good works",
which God prepared in advance for us to do.(will of God)
I adapt and rely on an excellent Bible scholar's statement:
"The CONDITION(S) for SALVATION...
Salvation is conditioned solely on FAITH/(BELIEF) in Jesus The Christ.
("repentance" may be a SYNONYM when understood to be a spiritual "re-thinking" and a "turning around")
Nearly 200 times FAITH (or BELIEF) is stated as the single condition in the New Testament.
That FAITH must be placed in The Christ as one's substutute FOR and Savior FROM sin (/sins)...
There are some FALSE additions to FAITH...
e.g. ritual water baptism, repentance by works, confession / purification, lordship, etc
REF: Ryrie Study Bible...expanded NASB...p. 2073
(Jesus to woman caught in sin):.... "Your FAITH has saved YOU; go in peace."...>Luke 7:50