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This you see as the north pole forming near the north pole of the solenoid. Like poles repel, unlike poles attract is kind of a misleading analogy(I find it strange that I realized this after reading your question). What actually is happening is that the tiny magnetic dipoles inside the magnetic material(a bar of iron, for example) align with the direction of the magnetic field.
Batteries have positive plates and negative plates. POLARITY - A collective term applied to the positive (+) and negative ( - ) ends of a magnet or electrical mechanism such as a coil or battery. POLE - One or two points of a magnet at which its magnetic attraction is concentrated.