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

Responses

13q−2
Start Fraction 1 over 3 End Fraction q minus 2

−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

1 answer

To expand the expression \( 13(q - 6) \) using the Distributive Property, you multiply 13 by each term inside the parentheses.

  1. Distribute \( 13 \) to \( q \): \[ 13 \cdot q = 13q \]

  2. Distribute \( 13 \) to \( -6 \): \[ 13 \cdot (-6) = -78 \]

Putting it together, the expanded form of \( 13(q - 6) \) is: \[ 13q - 78 \]

Since none of the provided responses match the correct expanded form of \( 13q - 78 \), it seems there might be an error in the options.