Answer: Last option
(42÷2) +5
Explanation:
We know that Mr. Roberts drove 42 miles on Monday.
On Tuesday Mr. Roberts drove half of what he drove on Monday plus 5 miles.
If we want to know how many miles Mr. Roberts drove on Tuesday then we should divide 42÷2 to find half of 42.

Then we know that in addition to the 21 miles he drove 5 more miles. Then we add 21 +5 = 26 miles.
So the expression that gives us the number of miles that Mr. Roberts drove on Tuesday is:
(42÷2) +5