Kid Hard Math
SAT Level 4 Passport to Advanced Math Problem with Solution

Today I would like to solve the last SAT math problem I posted. You can see the original post here: SAT Level 4 Passport to Advanced Math Problem

Level 4 Passport to Advanced Math

Let m = 2x + 7 and k = 2x 7, and write km = cx2 + d, where c and d are constants. What is the value of c – d ?

* Solution using the difference of two squares:

km = (2x + 7)(2x 7) = 4x2 – 49.

So, we have 4x2 – 49 = cx2 + d.

Thus, c = 4 and d49.

It follows that c – d = 4 – (49) = 4 + 49 = 53.

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