Question
What expression is equal to 8 + 2(y + 5)?
10y + 50 10y + 5 2y + 13?
10y + 50 10y + 5 2y + 13?
Answers
GPT-4o mini
To simplify the expression \(8 + 2(y + 5)\):
1. First, distribute the \(2\) to both terms inside the parentheses:
\[
2(y + 5) = 2y + 10
\]
2. Now, substitute that back into the expression:
\[
8 + 2(y + 5) = 8 + 2y + 10
\]
3. Combine the constant terms (\(8 + 10\)):
\[
8 + 10 = 18
\]
Thus,
\[
8 + 2(y + 5) = 2y + 18
\]
Now, comparing with the choices provided:
- \(10y + 50\)
- \(10y + 5\)
- \(2y + 13\)
None of these choices are equal to \(2y + 18\). The correct equivalent expression is \(2y + 18\), but it’s not listed among the options. Therefore, it seems there might have been an oversight or error in the provided options.
1. First, distribute the \(2\) to both terms inside the parentheses:
\[
2(y + 5) = 2y + 10
\]
2. Now, substitute that back into the expression:
\[
8 + 2(y + 5) = 8 + 2y + 10
\]
3. Combine the constant terms (\(8 + 10\)):
\[
8 + 10 = 18
\]
Thus,
\[
8 + 2(y + 5) = 2y + 18
\]
Now, comparing with the choices provided:
- \(10y + 50\)
- \(10y + 5\)
- \(2y + 13\)
None of these choices are equal to \(2y + 18\). The correct equivalent expression is \(2y + 18\), but it’s not listed among the options. Therefore, it seems there might have been an oversight or error in the provided options.