Rubuta ci gaba ga wannan sakin layi - Cheever ya fara shiga Formula One a, jim kadan bayan ranar haihuwarsa ta 20. Bayan da ya kasa cancanta a tseren farko biyu na shekarar a Argentina
kuma Brazil a cikin Theodore, ya yi grid a Afirka ta Kudu a cikin Hesketh, amma ya yi ritaya da wuri. Daga nan sai ya mai da hankali kan Formula Two don sauran 1978 da 1979.