Question

Use the properties of operations to subtract (h+k)−(2k−h)
.(1 point)
Responses

2h+k
2 h plus k

−k
negative k

2h−k
2 h minus k

−2h−k

Answer 1

To simplify the expression \((h + k) - (2k - h)\), we can use the properties of operations, specifically the distributive property and the associative property.

1. Start with the expression:
\((h + k) - (2k - h)\)

2. Distribute the negative sign:
\((h + k) - 2k + h\)

3. Combine like terms:
- Combine \(h + h\): \(2h\)
- Combine \(k - 2k\): \(-k\)

So, we have:
\[ 2h - k \]

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

The correct response is:
**2h−k**
(2 h minus k)