Huffman, 56, who grew up in Bedford, was among dozens of prominent celebrities, wealthy parents and coaches to be implicated in "Operation Varsity Blues", an alleged college admissions bribery scam.
Huffman is reportedly set to appear in a Boston court later this month for a preliminary hearing.
Federal agents secretly recorded telephone calls with Huffman and a cooperating witness, which allegedly show Huffman agreeing to pay the lage sum of money in order to help Sofia, 18, get a higher SAT score, the indictment states.
U.S. Attorney Andrew Lelling said those involved paid Singer $25 million total as part of the scheme.
No students have been charged, with authorities saying that in many cases the teenagers were unaware of what was going on.
"For every student admitted through fraud an honest, genuinely talented student was rejected", he added.
Prosecutors said the scheme began in 2011 and also helped children get into the University of Texas, Georgetown University, Wake Forest University and the University of California, Los Angeles. He pled guilty in federal court on Tuesday. Loughlin was not arrested because she was in Canada.
Some parents spent hundreds of thousands of dollars, as much as $6.5 million, to guarantee their children's admission, officials said.
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Coaches, including the women's soccer coach at Yale University and the sailing coach at Stanford University, took between $200,000 and $400,000 to accept the students onto their teams.
Loughlin is slated to appear in federal court on conspiracy charges and will be booked at Los Angeles' Metropolitan Detention Center. Huffman later made arrangements to pursue the scheme a second time, for her younger daughter, before deciding not to do so, ' according to ABC 7.
She didn't have to enter a plea and her release has been ordered, pending a $250,000 bail payment.
Others are accused of paying an organization to take the SAT or ACT on behalf of their kids or to correct their answers.
He was charged Tuesday along with almost 50 other people and faces conspiracy to commit mail fraud and money laundering counts.
Full House star Lori Loughlin and her designer husband Mossimo Giannulli meanwhile are accused paid $500,000 to have their two daughters labelled as recruits to the USC crew rowing team, even though neither participated in the sport.
Court documents allege that Felicity Huffman, 53, paid $15,000 to secure her eldest daughter a place at university.