SAT Question 4de87c9a: Linear Equations In One Variable answer and explanation with Desmos solution

Choice D is correct. The given phrase " $8$ times a number $x$ " can be represented by the expression $8x$. 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 $8x+3$. Since it's given that $3$ more than $8$ times a number $x$ is equal to $83$, it follows that $8x+3$ is equal to $83$, or $8x+3=83$. Therefore, the equation that represents this situation is $8x+3=83$.