Question #73b5f330 - SAT Suite Question Bank

ID: 73b5f330

Modded SAT Question Bank by Abdullah Mallik

The function $f$ is defined by $f (x) = 5 x + 8$ . For what value of $x$ does $f left parenthesis x right parenthesis equals 58$ ?

$10$
$13$
$50$
$298$

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Correct Answer: A

Rationale

Choice A is correct. It's given that the function $f$ is defined by $f (x) = 5 x + 8$ . Substituting $58$ for $f (x)$ in this equation yields $58 = 5 x + 8$ . Subtracting $8$ from both sides of this equation yields $50 equals 5 x$ . Dividing both sides of this equation by $5$ yields $10 equals x$ . Therefore, the value of $x$ when $f left parenthesis x right parenthesis equals 58$ is $10$ .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the value of $f left parenthesis 58 right parenthesis$ , not the value of $x$ when $f left parenthesis x right parenthesis equals 58$ .

Question Difficulty: Easy