For the modern $1.00 coins, basically yes.
The gold colored Presidential dollar is worth one dollar. These are commonly circulated coins, and contain no gold.
1891 is a common date Morgan dollar with values for circulated coins at $17.00-$36.00
Circulated bicentennial dollar coins are still only worth one dollar.
A common high mintage Morgan Dollar. Circulated coins retail at $17.00-$35.00 and uncirculated coins at $40.00-$50.00
This is a Liberty Seated Dollar and circulated coins are valued at $300.00 to $1,000.00 depending on condition.
Retail values for circulated coins are $17.00-$26.00 depending on the grade.
Retail values are $650.00-$770.00 for circulated coins
Retail value is $293.00-$456.00 for circulated coins depending on grade.
A 1884 Morgan Dollar is common with values for circulated coins at $17.00-$26.00 Excellent mint state coins can be had for $34.00
Circulated coins are valued at $650.00-$770.00 Mint state coins are $840.00
First it's a Morgan Dollar not a Liberty Dollar and is a very common coin. Retail prices are $15.00-$30.00 for circulated coins and $40.00-$50.000 for uncirculated coins.
Assuming you are asking about a 1887 Morgan silver dollar. Circulated coins are valued at $30.00-$40.00.