The members of any elective city board of education shall be elected at large from the territory within the boundaries of the school district or districts which are under the jurisdiction of the city board of education, whether sitting as a board of education, high school board, or community college board, and any qualified elector of the territory shall be eligible to be a member of such city board of education.
When outside territory has been annexed to a city for school purposes it shall be deemed a part of the city for the purpose of holding the general municipal election, and shall form one or more election precincts, as may be determined by the legislative authority of the city. The qualified electors of the annexed territory shall vote only for the board of education or the board of school trustees.