Question: Here is one sentence: They got a bad connection and could hardly hear one another over the background signals.
Here is another sentence: He posed her against a background of rolling hills.
Does the background mean the same thing in the two sentences?

Answer: different meanings

Question: Here is one sentence: The pull of the moon.
Here is another sentence: The pull of the current.
Does the pull mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: Give an excuse.
Here is another sentence: She gave a pair of shoes to her husband for their anniversary.
Does the give mean the same thing in the two sentences?

Answer: different meanings

Question: Here is one sentence: He thought of his painting as a game that filled his empty time.
Here is another sentence: His life was all fun and games.
Does the game mean the same thing in the two sentences?

Answer:
the same meaning