Question

Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of each type of question are on the test?​

Answer 1

Explanation:

Let the 2 point questions = x

Let the 4 point questions = y

This first equation gives the total number of questions.

x + y = 40 Multiply this question by 2

2x + 2y = 80

The second equation gives the point distribution. The value of multiple choice answers = 2x. The value of the short answer questions = 4y.

Now write the first equation under this question.

2x + 4y = 100

2x + 2y = 80 Subtract.

2y = 20 Divide by 2

2y/2 = 20/2

y = 10

x + y = 40

x + 10 = 40

Subtract 10 from both sides

x = 30

Answer

• There are 10 four point questions on the test
• There are 30 two point questions of the test.