The unit price in math is the cost per item or cost per unit of measure.
Example #1: cost per unit of measure
A bag of rice weighing 10 pounds cost 15 dollars. What is the cost of the bread per 1 pound?
$15 / 10 pounds = $1.5 / 1 pound
The cost of 1 pound is $1.5.
Example #2: cost per item
Marc bought 5 pencils for $1.50. How much did each pencil cost?
$1.5 / 5 pencils = $0.3 / 1 pencil
The cost of 1 pencil is $0.3 or 30 cents.