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

Question

.(1 point)
Responses

5g+10
5 g plus 10

5g
5 g

5g−6
5 g minus 6

5g−10

Answer 1

To simplify the expression \( 4(g - 2) + (g + 2) \) using the properties of operations, follow these steps:

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

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

3. Simplify by combining like terms:

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

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

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

Therefore, the final answer is: 5g - 6.