The "Praxis"® Core Academic Skills for Educators (Core) tests are used in the teacher preparation program admissions process and as part of initial teacher licensure. The purpose of this study was to estimate the relationship between scores on Praxis Core tests and Praxis Subject Assessments and to test for differential prediction by race and ethnicity. Data were drawn from operational test taker records over a period of nearly 5 years. The analysis suggests that Praxis Core tests of reading, writing, and mathematics are moderate predictors of scores from 11 high-volume Praxis Subject Assessments. There was little evidence of differential prediction across White, Black or African American, and Hispanic or Latinx test takers.