Question

Ms. Snyder is giving a 28-question test that is made up of multiple choice questions worth 2 points each and open response questions worth 4 points each. The entire test is worth 100 points. Let x represent the number of multiple choice questions, and let y represent the number of open response questions.

Write a system of linear equations to represent each situation.

Answer 1

To represent the situation, we can use a system of linear equations.

Step-by-step explanation:

To represent the situation, we can use the following system of linear equations:

x represents the number of multiple choice questions (worth 2 points each), and y represents the number of open response questions (worth 4 points each).

The total number of questions on the test is 28, so we have:
x + y = 28

The total score of the test is 100 points, with multiple choice questions worth 2 points each and open response questions worth 4 points each. This gives us:
2x + 4y = 100

Answer 2

x *2 + (28-x)*4 = 100

Step-by-step explanation:

Given

Total number of questions in the paper = 28

Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.

Also, the complete test is of 100 marks

Thus, the linear equation representing the

x *2 + (28-x)*4 = 100