* Nine Palestinians killed in air strikes
* Palestinians fire 130 rockets and mortars at Israel
* Egypt holds behind-the-scenes talks for elusive truce (Adds cross-border fire with Lebanon, four wounded near U.N. school)
GAZA/JERUSALEM, Aug 25 (Reuters) - Israeli air strikes killed at least nine Palestinians in the Gaza Strip and militants kept up cross-border rocket fire on Monday as Israel moved to cushion its economy against the effects of a war now in its seventh week.
The Bank of Israel, fearing the conflict will slow economic growth, cut its benchmark interest rate by a quarter-point to 0.25 percent, its lowest level.
Even as Egypt pressed on with efforts to broker a durable truce, Gazans said they received new recorded messages by phone saying Israel would target any house used to launch "terror attacks" and urging them to leave areas used by militants.
Israeli aircraft attacked four homes in the town of Beit Lahiya, near the Israeli border, killing two women and a girl, witnesses and health officials said.
Locals told Reuters a member of the Hamas militant group that dominates Gaza lived in one of the dwellings. Six other Palestinians were killed in Israeli strikes, including three men in an attack on a car and a Gaza journalist identified as Abdallah Murtaja in a separate attack, officials said.
After nightfall an Israeli air strike outside a Gaza City mosque wounded 25 people, as worshippers filed out after evening prayers, Gaza health officials said. They said an air strike near a U.N. school wounded four other people as well.
More than 130 rockets were launched at southern Israel on Monday, and one Israeli was wounded by a mortar bomb, the army said.
Two rockets were fired at Israel across the Lebanese border as well. The Israeli military said it responded by firing artillery shells at the "source of the attack". There were no reported injuries on either side.
Palestinian health officials say 2,123 people, most of them civilians, including more than 490 children, have been killed in Gaza since July 8, when Israel launched an offensive with the declared aim of ending rocket fire into its territory.
Sixty-four Israeli soldiers and four civilians in Israel have been killed.
Hamas claimed responsibility for firing rockets at Tel Aviv, at least one of which was shot down by Israel's Iron Dome interceptor. Warning sirens were also heard in Israeli communities bordering Ben-Gurion International Airport.
Gazans said they had received messages on their phones for several days, with a new recording on Monday ending with the words: "To Hamas leaders and to the residents of Gaza: The battle is open and you have been warned."
INDEFINITE CEASEFIRE PROPOSED
Despite the raging violence, there were signs the sides might be edging toward a new ceasefire.
Qais Abu Leila, a senior Palestinian official involved in Egyptian-mediated talks to reach a truce, said Cairo had proposed an indefinite ceasefire.
Cairo's latest initiative calls for the immediate opening of Gaza's crossings with Israel and Egypt to aid reconstruction efforts in the coastal strip, to be followed by talks on a longer-term easing of the blockade.
Hamas and Israel blamed each other for delaying agreement.
An Israeli official speaking on condition of anonymity said Israel would consider the proposal if Hamas were to accept it.
Hamas spokesman Sami Abu Zuhri said of Egypt's proposals that "if Israel agreed to it, we would be heading towards an agreement".
Abu Leila told Reuters: "Egyptian efforts are continuing. The ball is in the Israeli court, and they have not responded to this proposal 36 hours after it was referred to them."
Hamas has said it will not stop fighting until the Israeli-Egyptian blockade on the enclave of 1.8 million people is lifted.
Both Israel and Egypt view Hamas as a security threat and are demanding guarantees that weapons will not enter the economically crippled territory. Israel recalled its negotiators from Cairo last Tuesday after a ceasefire collapsed.
Announcing its surprise interest rate cut, the Bank of Israel said it was too soon to assess precisely the loss of economic growth that will derive from the fighting.
But it said the war could shave half a point off GDP, which is forecast at 2.9 percent in 2014, as tourism and consumer spending are hit.
Thousands of homes in the Gaza Strip have been destroyed or damaged in the conflict. Nearly 500,000 people have been displaced in the territory where Palestinians, citing Israeli attacks that have hit schools and mosques, say no place is safe.
Israel has said Hamas bears responsibility for civilian casualties because it operates among non-combatants. The group, it said, uses schools and mosques to store weapons and as launching sites for cross-border rocket attacks. (Additional reporting by Ali Sawafta and Noah Browning in Ramallah, Allyn Fisher-Ilan and Steven Scheer in Jerusalem; Writing by Jeffrey Heller in Jerusalem; Editing by Alison Williams)