SAT Math Practice Question #36258 - SATify | SATify

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SAT Math Practice Question #36258 - SATify | SATify

#36258

expressions

algebra

medium

75 sec

The functions $a (x) = \frac{2}{3} x - \frac{1}{4}$ and $b (x) = \frac{3}{2} x + \frac{5}{6}$ are defined by the equations shown. Which expression is equivalent to $a (x) \cdot b (x)$ ?

A.

$x^{2} + \frac{13}{72} x - \frac{5}{24}$

B.

$x^{2} + \frac{1}{4} x - \frac{5}{24}$

C.

$x^{2} - \frac{13}{72} x - \frac{5}{24}$

D.

$x^{2} + \frac{13}{72} x + \frac{5}{24}$