Answer
Answer Choice $H$
Work Step by Step
Analyze the statement and make an equation out of it. a represents Ann's height and j represents Jay's height.
"The difference of Ann and Jay's height"
$a - j$
"is"
$=$
"half of Jay's height"
$(1/2)j$
This is how your brain should work when you are doing problems like this. Break up each part of the statement and express it numerically and with variables. Now put all of this together
$a - j = (1/2)j$
Now, organize it so that the equation is, as the problem states, "Ann's height a in terms of Jay's height J".
$a = j + (1/2)j$
The answer that matches this is choice $H$