Question #4de87c9a - SAT Suite Question Bank

ID: 4de87c9a

Modded SAT Question Bank by Abdullah Mallik

$3$ more than $8$ times a number $x$ is equal to $83$ . Which equation represents this situation?

$left parenthesis 3 right parenthesis left parenthesis 8 right parenthesis x equals 83$
$8 x = 83 + 3$
$3 x + 8 = 83$
$8 x + 3 = 83$

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Correct Answer: D

Rationale

Choice D is correct. The given phrase “ $8$ times a number $x$ ” can be represented by the expression $8 x$ . The given phrase “ $3$ more than” indicates an increase of $3$ to a quantity. Therefore “ $3$ more than $8$ times a number $x$ ” can be represented by the expression $8 x plus 3$ . Since it’s given that $3$ more than $8$ times a number $x$ is equal to $83$ , it follows that $8 x plus 3$ is equal to $83$ , or $8 x + 3 = 83$ . Therefore, the equation that represents this situation is $8 x + 3 = 83$ .

Choice A is incorrect. This equation represents $3$ times the quantity $8$ times a number $x$ is equal to $83$ .

Choice B is incorrect. This equation represents $8$ times a number $x$ is equal to $3$ more than $83$ .

Choice C is incorrect. This equation represents $8$ more than $3$ times a number $x$ is equal to $83$ .

Question Difficulty: Easy