The republic of texas currency was known as

The Republic of Texas currency was known as "Texas Dollar" or "Texas Red Back".

Explanation:

The informal name with which this currency was known (Red Back) is due to the color of the back of the bills. Inflation devalued this currency markedly and 15 "red backs" were equivalent to one United States dollar.

This currency was issued between January 1839 and September 1840 to minimize the national debt. This debt was an important reason to annex to the United States.  

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explanation:

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demand is the need and oportunity to buy a given good or service.