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

In order to answer the question above, the given equation should be simplified. In simplifying, it should be remembered that you can only combine like terms. The given equation is:

–3.5(2 – 3n) – 2.5n
-7 + 10.5n - 2.5n

We manipulate the resulting equation to match the choices given.
-7 +n (10.5 - 2.5)

Therefore, the correct answer among the choices is option E.