215k views
1 vote
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n+ 8.

Simplify Q -[R + S] - T.

a. 10m + 7n-14
b. 10m - 7n-14
c. 10m - 5n+ 24
d. 10m + 5n - 24

1 Answer

5 votes

Final answer:

The simplified expression of Q -[R + S] - T using the given values results in 10m + 5n - 24, which corresponds to option d.

Step-by-step explanation:

To simplify Q -[R + S] - T, we must first resolve the expression inside the brackets and then subtract T from it.

Let's begin by substituting the given expressions:

  • Q = 7m + 3n
  • R = 11 - 2m
  • S = n + 5
  • T = -m - 3n + 8

Now, R + S becomes:

11 - 2m + n + 5 = 16 - 2m + n

Then, we subtract the result of R + S from Q:

Q - [R + S] becomes:

7m + 3n - (16 - 2m + n)

= 7m + 3n - 16 + 2m - n

= 9m + 2n - 16

Finally, we subtract T from the result:

9m + 2n - 16 - (-m - 3n + 8)

= 10m + 5n - 24

The simplified expression is 10m + 5n - 24, which corresponds to option d.

User Plafhz
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories