Question

Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?

A. −7 − 8n
B. −7 + 8n
C. −7 − 13n
D. −7 − n(10.5 − 2.5)
E. −7 + n(10.5 − 2.5)

Answer 1

Hello.

B and E are the correct answers.

Hope it helps you :)

Answer 2

Hi there! The answers are B and E.

To find our answer we first need to work out the parenthesis.

`- 3.5(2 - 3n) - 2.5n =`

`- 7 + 10.5n - 2.5n`

Now we can collect terms.

`- 7 + 8n`

Hence, B is correct and A and C are false.

To determine whether D or/and E is/are correct we need to work out the parentheses as well. When we do that we can see D ending up with a negative value of n and E with a positive value of n. Taking into account our previous results, E is correct and D is false.

Hence, B and E are correct.