| Case | Docket No. | Granted | Argued | Decided | Majority Author | Vote |
|---|---|---|---|---|---|---|
| Director, Workers' Comp. Progs. v. Rasmussen | 77-1465 | 11/28/1978 | 02/21/1979 | William H. Rehnquist | 8-0 | |
| Massachusetts v. White | 77-1388 | 11/28/1978 | 12/11/1978 | 4-4 | ||
| Addington v. Texas | 77-5992 | 11/28/1978 | 04/30/1979 | Warren E. Burger | 8-0 | |
| Holt Civic Club v. Tuscaloosa | 77-515 | 10/11/1978 | 11/28/1978 | William H. Rehnquist | 6-3 | |
| Dougherty County Board of Education v. White | 77-120 | 10/02/1978 | 11/28/1978 | Thurgood Marshall | 5-4 | |
| Ferc v. Pennzoil Producing Co. | 77-648 | 11/28/1978 | 01/16/1979 | Byron R. White | 7-0 |