Question

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it.
Which value could replace x in the table?
7 – m
23 – m
8(15 – m)
8(15) – m

Answer 1

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

$3x+8y=55$ -----> equation A

$x+y=15$

$x=15-y$ -----> equation B

Substitute equation B in equation A

$3[15-y]+8y=55$

$45-3y+8y=55$

$5y=55-45$

$5y=10$

$y=2$

Find the value of x

$x=15-y$

$x=15-2=13$

therefore

the answer is

the number of multiple choice question are $13$

the number of free response question are $2$

Answer 2

8(15 – m)....................