Question

Manuel’s final exam has true/false questions, worth three points each, and multiple choice questions, worth four points each, let x be the number of true/false questions he gets correct, and let y be the number of multiple choice questions he gets correct. He needs more than 82 points on the exam to get an A in the class. Using the values and variables given, right in equality describing it.

Answer 1

Answer: Let T be the number of true/false questions on the exam, and let M be the number of multiple choice questions on the exam.

Then, the total number of points Manuel can earn on the exam is:

3T + 4M

We know that Manuel needs more than 82 points on the exam to get an A in the class. Therefore, we can write the following inequality:

3x + 4y > 82

where x is the number of true/false questions Manuel gets correct, and y is the number of multiple choice questions Manuel gets correct.

Explanation: