Question

Use the properties of operations to add 4(g−2)+(g+2).(1 point)
Responses

5g+10
5 g plus 10

5g−6
5 g minus 6

5g−10
5 g minus 10

5g
5 g

Answer 1

To simplify the expression \(4(g - 2) + (g + 2)\), we can first distribute and then combine like terms.

1. Distribute \(4\) to both parts of the first term:
\[
4(g - 2) = 4g - 8
\]

2. Now substitute this back into the expression:
\[
4g - 8 + (g + 2)
\]

3. Combine the like terms:
\[
4g + g - 8 + 2 = 5g - 6
\]

So, the simplified expression is \(5g - 6\).

The correct response is:
**5g−6**.