Atest is worth 80 points. multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. if the test has 25 questions, how
many multiple-choice questions are there?
o
a. tfor test, q for questions
o
o
b. s for short answer, t for test
c. p for points, m for multiple choice
o
d. m for multiple choice, s for short answer

There are 10 multiple-choice questions and 15 short-answer questions in the test

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Test worth 80 points

Multiple-choice questions are worth 2 points

Short-answer questions are worth 4 points

Multiple-choice questions + Short-answer questions = 25

2. How  many multiple-choice questions are there?

Let's solve this problem, this way:

m = Multiple-choice questions

s = Short-answer questions

Our equations system is:

m + s = 25

2m + 4s = 80

Solving for m in the 1st equation:

m + s = 25

m = 25 - s

Substituting m in the 2nd equation and solving for s:

2m + 4s = 80

2 * ( 25 - s) + 4s = 80

50 - 2s + 4s = 80

2s = 80 - 50

2s = 30

s = 30/2 = 15

Substituting s in the 1st equation and solving for m:

m = 25 - 15

m = 10

There are 10 multiple-choice questions and 15 short-answer questions in the test

expression #3 is not equivalent. the others are.

the first one, all those points on the line just make a strait line.