Use the properties of operations to add 4(g−2)+(g+2).(1 point)
Responses
5g
5 g
5g−6
5 g minus 6
5g−10
5 g minus 10
5g+10
5g + 10
Are you sure?
Apologies for the confusion. Let's go through the problem step by step.
4(g-2) + (g+2)
First, we can apply the distributive property to the 4(g-2) term:
4 * g - 4 * 2 + (g+2)
This simplifies to:
4g - 8 + (g+2)
Next, we can combine like terms by adding the terms with the variable g:
4g + g - 8 + 2
This simplifies to:
5g - 6.
So, the correct response is 5g - 6.
To simplify the expression 4(g - 2) + (g + 2), you need to use the properties of operations. Here's how you can approach it:
Step 1: Distribute the 4 to the terms inside the parentheses.
4(g - 2) + (g + 2) = 4g - 8 + (g + 2)
Step 2: Combine like terms.
Combine the terms containing 'g': 4g + g = 5g
Combine the constants: -8 + 2 = -6
Step 3: Rewrite the expression with the simplified terms.
4(g - 2) + (g + 2) = 5g - 6
So the simplified expression is 5g - 6.