Question

Which expression is equivalent to the expression below?
7, v, minus, 5, w, plus, v, plus, v, plus, v
7v−5w+v+v+v
Answer
Multiple Choice Answers
5, v5v
4, v, minus, 5, w4v−5w
minus, v−v
10, v, minus, 5, w10v−5w

Answer 1

To simplify the expression \( 7v - 5w + v + v + v \), we can combine the like terms involving \( v \):

1. Start with the original expression:
\[
7v - 5w + v + v + v
\]

2. Combine the \( v \) terms:
\[
7v + v + v + v = 7v + 3v = 10v
\]

3. The expression can now be simplified to:
\[
10v - 5w
\]

Now, let's match this result with the options provided:

1. \( 5v \)
2. \( 4v - 5w \)
3. \( -v \)
4. \( 10v - 5w \)

The expression \( 10v - 5w \) matches the simplification we achieved.

Therefore, the correct answer is:
\[
\text{10v - 5w}
\]