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SAT Math Practice Question #30148 - SATify | SATify

#30148

simplification

real numbers

radicals

manipulation

equations

algebra

medium

70 sec

The equation $\frac{10 p}{5 q} = 4 r - 3$ relates the distinct positive real numbers $p$ , $q$ , and $r$ . Which equation correctly expresses $r$ in terms of $p$ and $q$ ?

A.

$r = (\frac{p}{q})^{2} + 3$

B.

$r = (\frac{p}{2 q})^{2} + 3$

C.

$r = (\frac{2 p}{q})^{2} + 3$

D.

$r = (\frac{p}{2 q})^{2} - 3$