Is there a way to replace all values that appear on another table in SQL?

Question

I need to make a query to get all records whose score is 70 or more and replace all nicknames with their corresponding proper name. I'm using MySQL

Table A

name	score
Nick	75
Kate	76
Robert	49
John	91
Jenny	87
Bill	29
Gabrielle	57
Taylor	88
Joseph	68

The desired output should be the following:

Query Result

name	score
Nicholas	75
Kate	76
John	91
Jennifer	87
Taylor	88

Notice that the names Nick and Jenny were replaced.

Currently, the way I'm doing it is using REPLACE but that doesn't scale very well so I was wondering if there's a way to get the nicknames from Table B and use it on my query. My current query looks like this:

SELECT
-- repeat this for every nickname
  REPLACE(REPLACE(name,'Nick','Nicholas'),'Jenny','Jennifer') AS name, 
  score
FROM
  table_a
WHERE
 score >= 70;

Table B

nickname	proper_name
Nick	Nicholas
Jenny	Jennifer
Bill	William
Gaby	Gabrielle