Use the properties of operations to add 4(g−2)+(g+2)

Question

.(1 point)
Responses

5g+10
5 g plus 10

5g−6
5 g minus 6

5g
5 g

5g−10
5 g minus 10

Answer 1

To simplify the expression \( 4(g - 2) + (g + 2) \), we will use the properties of operations.

1. Distribute \( 4 \) in the first term: \[ 4(g - 2) = 4g - 8 \]

2. Now rewrite the entire expression: \[ 4g - 8 + (g + 2) \]

3. Combine like terms:

   • For the \( g \) terms: \( 4g + g = 5g \)
   • For the constant terms: \( -8 + 2 = -6 \)

4. Putting it all together: \[ 5g - 6 \]

So the final answer is \( \boxed{5g - 6} \).