Answer:
The first column describes a situation, and you are to look at that sentence and find the integer. An integer is a round number that can be both positive or negative.
Each question contains only a single number, so that is no problem. Just plug that number into the integer field.
The other thing is, because they're asking for an integer and absolute value, they're clearly expecting positive and negative values in the "integer" column. An absolute value is simply the positive value of any integer.
The problem with that is that the numbers are all represented as positive integers. With that in mind, I think you're expected to treat them as positive or negative based on the way they're being used.
For example, in the first question
"A football team lost 45 yards on the third down."
The only number in that sentence is 45, but note the usage of the number, "... team lost 45 yards...".
As they lost it, then the yardage is going down, meaning it's being used as a negative number. That would give you an integer of -45, and an absolute value of 45.
In the second question:
"Jonathan earned $60 mowing lawns last week"
In this case, that's money that Jonathan is gaining, so a positive number. The "integer" field then would get the value 60, and the absolute value field would also be 60.
The problem I see here is with the "Opposite" field. It's rather vague and undefined but I think they're asking for the opposite of the verb used with the number. So in the examples above, the opposite of "lost" would be "gained", and opposite of "earned" might be "spent".
Another possible meaning might be the opposite sign of the integer. So the "opposite" of -15 would be 15, and 20 it would be -20. This seems unlikely to me, so here i'll assume they mean the opposite word. If you can, I suggest clarifying that with the person who gave you this assignment.
So with question 3 for example, we have:
"Alice descended 20 feet below the surface of the ocean"
The integer would be -20, because she's going down
The absolute value of -20 is 20
The opposite would be "ascended".
And again with question 4:
"The temperature dropped to 15 degrees below zero."
The integer, because it's dropping would be -15.
The absolute value of -15 is 15.
the opposite of "dropping" would be "rising".
And so on. I won't do all the questions for you, but I hope that gives you a good start, you may want to consult with your teacher or whomever it was that gave you this question, and clarify what the opposite field should be; this is just my best guess.