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Expand 13(q−6) using the Distributive Property.(1 point)

Responses

−13q+2
negative Start Fraction 1 over 3 End Fraction q plus 2

13q−6
Start Fraction 1 over 3 End Fraction q minus 6

−13q+6
negative Start Fraction 1 over 3 End Fraction q plus 6

13q−2

Choose the closest one.

3 answers

To expand \( 13(q - 6) \) using the Distributive Property, we multiply 13 by both terms inside the parentheses:

\[ 13(q - 6) = 13 \cdot q - 13 \cdot 6 = 13q - 78 \]

None of the provided options match \( 13q - 78 \), so the closest response would need to represent the expanded expression correctly.

Please check if the options presented are accurately transcribed or if there are any additional options to choose from.

Choose the closest one

Based on the expansion we performed, \( 13(q - 6) = 13q - 78 \), let's analyze the given options again:

  1. \(-13q + 2\)
  2. \(\frac{-1}{3}q + 2\)
  3. \(13q - 6\)
  4. \(\frac{1}{3}q - 6\)
  5. \(-13q + 6\)
  6. \(\frac{-1}{3}q + 6\)
  7. \(13q - 2\)

None of these match \( 13q - 78 \). However, if we consider the closest to \( 13q \), option 3 \( (13q - 6) \) is the one that keeps the \( 13q \) term but has the wrong constant.

So, option 3 \( (13q - 6) \) is the closest one to \( 13(q - 6) \), even though it's not a perfect match.