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Which of the following expressions is equal to 5 - 2m?

a) 2m + 5
b) 5m - 2
c) 2(m - 5)
d) 2(5 - m)

1 Answer

1 vote

Final answer:

After reviewing each option, none of the given choices accurately match the expression 5 - 2m without assuming a typo exists in option d. With that assumption, d would be correct, but without it, the correct answer is that none of the options match.

Step-by-step explanation:

The expression 5 - 2m is sought to be matched with one of the given options. Let's analyze each option to see which one is equivalent:

  • : This is just the addition of 2m and 5, not equivalent because the operation and the order of the terms are different from 5 - 2m.
  • : This expression multiplies 5 by m and then subtracts 2, which is not the same as the original expression.
  • : Distributing the 2 inside the parenthesis would result in 2m - 10, which is not the same as our original expression due to the different constant term.
  • d) 2(5 - m): Distributing the 2 inside the parenthesis gives us 10 - 2m. If we then rewrite this expression in a different order, it exactly matches 5 - 2m after simplifying (assuming there was a typo and it was meant to be 5 instead of 10). If not, then this is also incorrect.

Based on these considerations, none of the options accurately matches 5 - 2m without the assumption of a typo. If the typo is acknowledged for option d, then it would be correct. Otherwise, we must conclude none of the options given are equivalent to 5 - 2m.

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