An English teacher decided to give a second test over the same material as a first test. To reward those students who did well and to provide an incentive to students to improve their score, he announced that he would calculate the combined test score by starting with the first test score and adding \(\dfrac{2}{3}\) of the increase in test score from their first test to their second test. Trish scored \(57\) points on her first test and \(72\) points on her second test. What is her combined test score?

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Trish's score increased by \(72-57=15\).

Her combined score:

$$ 57 + \frac{2}{3}(15) $$ $$ 57 + 10 $$ $$ = \boxed{67} $$