16Hit1600
Advanced MathEasySubtracting a binomial

Advanced Math practice question

A rope of length 5t is cut, and a piece of length 2t + 1 is removed. Which expression gives the length of the remaining rope?

  1. A. 3t − 1Correct
  2. B. 3t + 1
  3. C. 7t + 1
  4. D. 3t

Answer: A. 3t − 1

5t − (2t + 1) = 5t − 2t − 1 = 3t − 1.

Why the other answers are wrong

B. 3t + 1
The −1 comes from subtracting the whole piece, including its +1.
C. 7t + 1
7t + 1 adds the piece instead of removing it.
D. 3t
3t forgets the 1 in the removed piece.

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