Final answer:
The equation representing the situation where multiple choice questions are worth 2 points each and short answer questions are worth 5 points each for a total test score of 100 points is 2x + 5y = 100.
Step-by-step explanation:
The situation described in the question involves a test that includes both multiple choice and short answer questions, with each type of question having a different point value. The number of multiple choice questions is represented by x, which are worth 2 points each, and the number of short answer questions is represented by y, which are worth 5 points each. The entire test is worth 100 points. To find an equation that represents this situation, you would multiply the number of each type of question by their respective point values and add these together to equal 100 points. Therefore, the equation that best represents this situation would be:2x + 5y = 100 In this equation, x and y must be non-negative integers that satisfy the equation such that when added together, the total points from the questions equal the total points the test is worth, which is 100 points.