SAT Mathematics Practice Test 2

Since a player starts with k points and loses $2$ points each time a task is not completed, the player’s score will be $\mathit{k}-2\mathit{n}$ after n tasks are not completed (and no additional points are gained). Since a player who fails to complete 100 tasks has a score of $200$ points, the equation $200=\mathit{k}-100\left(2\right)$ must be true. This equation can be solved by adding $200$ to each side, giving $\mathit{k}=400$.
Choices A, B, and C are incorrect and may result from errors in setting upor solving the equation relating the player’s score to the number of tasks theplayer fails to complete. For example, choice A may result from subtracting200 from the left-hand side of $200=\mathit{k}-100\left(2\right)$ and adding $200$ to the right hand side.