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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

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
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2 votes
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

User Muhammad Amjad
by
8.2k points

2 Answers

4 votes
-3.5(2-3n)-2.5n simplifies to -7+10.5n-2.5n, or -7+8n.  B is the correct answer.
User Opera
by
7.9k points
0 votes
simplify step-by-step.

−3.5(2−3n)−2.5n

Distribute:

=(−3.5)(2)+(−3.5)(−3n)+−2.5n

=−7+10.5n+−2.5n

Combine Like Terms:

=−7+10.5n+−2.5n

=(10.5n+−2.5n)+(−7)

=8n+−7

Which is same as option B).
User Cbroughton
by
8.2k points
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