Explain how Free Public Education keeps the idea of equality alive in America.

Everybody is able to enroll into public schools

Explanation:

As to private schools usually require tuition so any child, rich or poor is able to  attend a public school.

The option you chose was correct.
The construction of the Berlin Wall was kinda the start of the Cold War.

The soviet control of the German citizens could not have possible been increased since the Berlin Wall falling was a sign of the Soviet Union downfall.

The United States had no say in the Cold War, only espionage played a role.