Question

There are 180 multiple-choice questions on a test. A student gets 4 points for every correct answer and loses 1 point for every blank or incorrect answer. If a student scores 450 points on the test, how many questions did she answer correctly?

Answer 1

To find the number of questions a student answered correctly on a multiple-choice test with 180 questions and a scoring system of +4 points for correct answers and -1 point for incorrect or blank answers, set up the equation 4x - (180 - x) = 450 and solve for x.

Step-by-step explanation:

To find the number of questions a student answered correctly, we can use the given information:

• 4 points are awarded for each correct answer
• 1 point is deducted for each incorrect or blank answer
• The student scored 450 points on the test
• There are 180 multiple-choice questions on the test

We can set up the equation: 4x - (180 - x) = 450, where x represents the number of questions the student answered correctly. Solving this equation, we find that the student answered 135 questions correctly.