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SAT Math Practice Question #30150 - SATify | SATify

#30150

simplification

real numbers

radicals

manipulation

equations

algebra

hard

90 sec

Given the equation $\frac{18 a}{3 b} = \frac{1}{2} c + 1$ , where $a$ , $b$ , and $c$ are distinct positive real numbers. Which equation correctly expresses $c$ in terms of $a$ and $b$ ?

A.

$c = (\frac{6 a}{b})^{2} - 1$

B.

$c = (\frac{12 a}{b})^{2} - 1$

C.

$c = (\frac{3 a}{b})^{2} - 1$

D.

$c = (\frac{12 a}{b})^{2} + 1$