Question

In a game, a player starts with 100 points. Each question has two parts and an incorrect answer for both parts results in a loss of 1 point. The student loses one-half of a point for getting only one part of the question correct. At the end of a 25 question round, the player has 82.5 points. What TWO equations and solutions represent x missed points?

A. 100 - x = 82.5 (The player misses 17.5 points)
B. 82.5 - x = 100 (The player misses 17.5 points)
C. 82.5 - x = 100 (The player misses 18.5 points)
D. x - 100 = -82.5 (The player gets 7.5 points)
E. x - 100 = -82.5 (The player gets 8.5 points)

Answer 1

The correct equations and solutions for x missed points are 100 - x = 82.5 and x - 100 = -82.5.

Step-by-step explanation:

The correct TWO equations and solutions that represent x missed points are:

A. 100 - x = 82.5 (The player misses 17.5 points)

D. x - 100 = -82.5 (The player gets 7.5 points)

These equations represent the points gained or lost by the player. In the first equation, the player starts with 100 points and loses 17.5 points, resulting in 82.5 points. In the second equation, the player gains 7.5 points in order to reach a total of 82.5 points.