In Acts 16:31 the jailer asked Paul and Silas how to be saved, and they responded, "Believe in the Lord Jesus, and you will be saved." The jailer believed and immediately became saved including his household. Luke 8:43-44 and 48 tells us about a woman who had been subject to bleeding for twelve years instantly got healed because of her faith.
Close to 200 times in the New Testament salvation is said to be by faith alone with no works in sight. Please consider the following passages:

John 3:15 tells us that "everyone who believes in him may have eternal life.'

In John 11:25 Jesus says, "I am the resurrection and the life. He who believes in me will live, even though he dies."

John 5:24 says, "I tell you the truth, whoever hears my word and believes him who sent me has eternal life and will not be condemned; he has crossed over from death to life."

John 12:46 says, "I have come into the world as a light, so that no one who believes in me should stay in darkness."

John 20:31 says, "But these are written that you may believe that Jesus is the Christ, the Son of God, and that by believing you may have life in his name."

Now, if salvation were not by faith alone, then Jesus' message in the Gospel of John shown in the above quotations would be easily mistaken that there is one condition for salvation when there are allegedly two faith and works.
I would like to emphasize that we are saved by faith but for works. Our works are not the condition of our salvation, but a consequence of it. We are saved not by works, but the kind of faith that produces works.