As economic theories, socialism and communism sought to

a) encourage private ownership of businesses.
b) even out inequalities of wealth.
c) encourage little government oversight.
d) build housing and schools for workers.

The correct answer is - b) even out inequalities of wealth.

One of the main principles of the economic systems of the socialistic and communistic societies is to manage to make the people as equal as possible in wealth and possessions.

This in a way may seem good, as there will be no class differences if it is performed properly, but that also brings in problems, as it was seen in the countries were this types of political ideologies ruled. People that had more land had their land taken away from them and it was divided to the people that didn't had any land, the motivation for better performances at the workplace is very low as you have guaranteed payment, and it is the same as everyone else, there's no real career progress, and that is just against the human nature.

its main object was the establishment of "settlement houses" in poor urban areas, in which volunteer middle-class "settlement workers" would live, hoping to share knowledge and culture with, and alleviate the poverty of, their low-income neighbors.

roosevelt essentially took the opposite approach as hoover in taking on the great depression. herbert hoover thought that america and its economy could naturally recover from the depression in due course, so he adamantly restrained the federal government from intervening on behalf of the people affected. on the other hand, roosevelt dramatically increased employment by expanding the federal government and establishing agencies that would aid in relieving some of the country's worst problems.