An electrically variable transmission family having low-content, low-cost electrically variable transmission mechanisms including three differential gear sets, a battery, three interconnecting members, two electric machines serving interchangeably as motors or generators and five or six selectable torque-transfer devices. The selectable torque transmitting devices are engaged to yield an EVT with a continuously variable range of speeds and five fixed speed ratios, including four mechanically fixed forward speed ratios and one reverse speed ratio. The torque transmitting devices and the first and second motor/generators are operable to provide five operating modes in the electrically variable transmission, including battery reverse mode, EVT reverse mode, reverse and forward launch modes, continuously variable transmission range mode, and fixed ratio mode.