Write the indicated expression.
-The smaller of two numbers is 52 less than four times the larger number. Write an expression for the smaller number subtracted from the larger number. Let n represent the larger number.
A) 4n - (n - 52)
B) n - (n - 4·52)
C) n - (4n - 4·52)
D) n - (4n - 52)

Question

Quizplus · Accepted Answer

We know that the smaller number is 52 less than four times the larger number, so we can write an equation: smaller number = 4n - 52. To find the difference between the two numbers (which is what the expression is asking for), we take the larger number minus the smaller number: n - (4n - 52). Simplifying this expression gives us D: n - 4n + 52 = -3n + 52. The smaller number can be represented as 4n - 52 (since it is 52 less than four times the larger number).
Therefore, the expression for the larger number minus the smaller number would be:
n - (4n - 52) which simplifies to 52 - 3n or equivalently, -3n + 52. This matches the expression in choice D.

Write the Indicated Expression