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−10
5 g minus 10

5g

Answer 1

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

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

2. Now, we'll write down the entire expression with the distributed result: \[ 4g - 8 + (g + 2) \]

3. Next, we can combine like terms:

   • Combine \(4g\) and \(g\): \[ 4g + g = 5g \]

   • Combine \(-8\) and \(2\): \[ -8 + 2 = -6 \]

4. So, the expression simplifies to: \[ 5g - 6 \]

Therefore, the answer is \(5g - 6\).