Final answer:
The expression for the total number of coins Karen and Bill have is 5x - 2, where x represents the number of coins Karen has.
Step-by-step explanation:
To write an expression for the total number of coins Karen and Bill have, we'll first define Karen's amount as x.
According to the problem, Bill has 2 coins fewer than four times the amount of Karen's coins, which can be expressed as 4x - 2.
To find the total amount of coins, we sum Karen's and Bill's coins: x + (4x - 2).
Now, to simplify the expression, we combine like terms which means adding the coefficients of x together:
x + 4x = 5x
Then we bring down the constant term:
5x - 2
The simplified expression for the total number of coins that Karen and Bill have together is 5x - 2.