Answer: 294
Break up 42 like so: 42 = 40 + 2
Then we can say,
7*(42) = 7*(40+2) = 7*40 + 7*2 = 280 + 14 = 294
The mental math part is knowing that 7*4 = 28, then you add on a zero to get 7*40 = 280. This is added to 7*2 = 14 to get the final answer above.