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

Question

Responses

5g−6
5 g minus 6

5g−10
5 g minus 10

5g+10
5 g plus 10

5g

Answer 1

To add \( 4(g - 2) + (g + 2) \), we can use the distributive property and combine like terms:

1. Distribute \( 4 \) to both terms inside the parentheses: \[ 4(g - 2) = 4g - 8 \]

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

3. Next, distribute the \( (g + 2) \) as it is already in its simplest form: \[ g + 2 \]

4. Now combine the terms: \[ 4g - 8 + g + 2 = (4g + g) + (-8 + 2) \]

5. Combine like terms: \[ 5g - 6 \]

So, the final answer is: \[ 5g - 6 \]

The correct response is 5g−6.