Final answer:
Abington School District v. Schempp was the case that considered the constitutionality of Bible-reading ceremonies in public schools, ruling them unconstitutional under the Establishment Clause.
Step-by-step explanation:
The court that considered the constitutionality of Bible-reading ceremonies in public schools was Abington School District v. Schempp. In this case, the Supreme Court ruled that school-sponsored reading of the Bible and recitation of the Lord's Prayer in public schools is unconstitutional under the Establishment Clause. This decision established a clear boundary between the business of government and the endorsement of religious practices in public institutions, primarily public schools.