Final answer:
An appropriate slogan for an advertisement poster paired with President Barack Obama's educational remarks could be "Empower Your Future: Educate, Engage, Excel," capturing the essence of his messages of empowerment and progress.
Step-by-step explanation:
When designing an advertisement poster to complement President Barack Obama's back-to-school remarks, Anita will want to select a slogan that resonates with youth and reflects the spirit of Obama's message to students. Considering Obama's ability to connect with young voters and his message of hope and change, a suitable slogan for the poster might be "Empower Your Future: Educate, Engage, Excel". This summarizes the aim of motivating students to take charge of their education, be active community members, and strive for excellence, mirroring Obama's inspirational calls to action.