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If t = 50, u = 25 and v = 16 then (2t + 3u)(2u - v) + 2(t -u) is

  • A.7000
  • B.8000
  • C.5950
  • D.6000

Answer: D

Substitute \( t = 50 \), \( u = 25 \), \( v = 16 \) and evaluate each bracket first.

\[ 2t + 3u = 100 + 75 = 175 \]

\[ 2u - v = 50 - 16 = 34 \]

\[ 175 \times 34 = 5950 \]

\[ 2(t - u) = 2(50 - 25) = 50 \]

\[ 5950 + 50 = 6000 \]

The final addition is easy to overlook - 5950 is offered as the distractor for exactly that.

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