Use the properties of operations to subtract (h+k)−(2k−h)

Question

.(1 point)
Responses

−k
negative k

−2h−k
negative 2 h minus k

2h+k
2 h plus k

2h−k
2 h minus k

Answer 1

To subtract \( (h+k) - (2k-h) \), we can use the properties of operations to simplify the expression.

1. First, distribute the negative sign across the second term: \[ (h + k) - (2k - h) = (h + k) - 2k + h \]

2. Next, combine like terms:

   • Combine the \( h \) terms: \( h + h = 2h \)
   • Combine the \( k \) terms: \( k - 2k = -k \)

Putting it all together: \[ (h + k) - (2k - h) = 2h - k \]

So the simplified expression is \( 2h - k \).

The correct response is: 2h−k