You said faith must be active. So what action did Abraham perform in Romans 4:5, in order for God to credit his faith as righteousness?
In Gen 15:2-3, Abraham complains to God that he has no heir, and God told him that the man he had selected, Eliezer of Damascus, would not be his heir. And so, it can be presumed although we are not told explicitly here, Abraham removed Eliezer of Damascus from being his heir.
What action did David perform in order to receive a blessing from God, and have his sins forgiven in Roman 4:6-8?
David doesn't mention what he did or what actions of faith are required, but he does talk about the fact that God forgives because of our faith.
What action did Zacchaeus take for Jesus to declare that he was saved?
Zaccheus, seeing his sin and the righteousness of Jesus, acted upon his remorse and gave back what he had stolen (with interest) and submitted himself to the will of God.
What action did the proconsul take when he believed the gospel in Acts13:12?
We are not told what actions he took. But that fact does not mean that faith is not required to be active in order to be real.
What action did Paul say was necessary to receive forgiveness of sins in Acts 13:38-39?
What actions are included in "belief/faith" in Christ? repentance (Acts 3:19), confession of Jesus as Lord (Rom 10:9-10), and baptism (Acts 2:38).
What action did Peter, quoting the Old Testament prophets, say was necessary to receive forgiveness of sins in Acts 10:43?
What actions are included in "belief/faith" in Christ? repentance (Acts 3:19), confession of Jesus as Lord (Rom 10:9-10), and baptism (Acts 2:38).
What action did the Gentiles take when they believed in Acts 13:48?
They repented (Acts 3:19), confessed Jesus as Lord (Rom 10:9-10), and were baptized (Acts 2:38) and that is when they received forgiveness.
What action did Peter say was required for the people in Acts 15:8-9 to have their hearts cleansed?
What actions are included in "belief/faith" in Christ? repentance (Acts 3:19), confession of Jesus as Lord (Rom 10:9-10), and baptism (Acts 2:38).
What action did Peter say must be done to be saved in Acts 15:11?
What actions are included in "belief/faith" in Christ? repentance (Acts 3:19), confession of Jesus as Lord (Rom 10:9-10), and baptism (Acts 2:38).
When Jesus was commissioning Paul, telling him to preach to Jews and Gentiles, what action did He tell Paul was required on their part, to turn from the dominion of Satan to God, and to receive forgiveness of sins in Acts 26:18?
What actions are included in "belief/faith" in Christ? repentance (Acts 3:19), confession of Jesus as Lord (Rom 10:9-10), and baptism (Acts 2:38).