SAT Question b8caaf84: Equivalent Expressions answer and explanation with Desmos solution

Choice B is correct. It's given that $p=3x+4$ and $v=x+5$. Substituting the values for $p$ and $v$ into the expression $pv-2p+v$ yields $(3x+4)\times (x+5)-2\times (3x+4)+x+5$. Multiplying the terms $(3x+4)\times (x+5)$ yields $3x^2+4x+15x+20$. Using the distributive property to rewrite $-2\times (3x+4)$ yields $-6x-8$. Therefore, the entire expression can be represented as $3x^2+4x+15x+20-6x-8+x+5$. Combining like terms yields $3x^2+14x+17$.