At this point in time when Reagan took over ( after the Carter recession ), the US GDP was growing by above 4%.
Same was true of Bush 43 after the DOT COM bubble recession and the 9/11 attacks.
That is what we should be aiming for if we want unemployment to fall significantly below 7%.
Your being modest. GDP growth was 7.3% in Q1 1984. The average over the Reagan years was 4.3%. Let's also remember that oil prices dropped significantly as well for an extended period after Reagan took office.
During the Reagan administration, the American economy went from a GDP growth of -0.3% in 1980 to 4.1% in 1988 (in constant 2005 dollars), which reduced the unemployment rate by 1.6%, from 7.1% in 1980 to 5.5% in 1988
http://en.wikipedia.org/wiki/Reaganomics