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SAT Math Practice Question #7540 - SATify | SATify

#7540

equations

algebra

real numbers

manipulation

radicals

simplification

medium

75 sec

$\frac{18 k}{6 m} = 6 n + 1$

The given equation relates the distinct positive real numbers $k$ , $m$ , and $n$ . Which equation correctly expresses $n$ in terms of $k$ and $m$ ?

A.

$n = (\frac{k}{2 m})^{2} + 1$

B.

$n = \frac{k}{2 m} - 1$

C.

$n = (\frac{k}{m})^{2} - 1$

D.

$n = (\frac{k}{2 m})^{2} - 1$