Social Security income must be reported on your return no matter what. Social security may be taxable, but it depends on the total sum of your other income and 1/2 of your social security income. (Total Non-Social Security Income + 1/2 of Social Security Income)
If the total is greater than 25,000 dollars for single, single, head of household, qualifying widow or widower with a dependent child or married individuals filing separately who did not live with their spouse at any time during the year, then some of your social security income will be taxable.
If the total is greater than 32,000 dollars for married filing joint taxpayers, then some of social security will be taxable income.
Social security income is always partially taxable for married persons filing separately who lived together at any time during the year.