Which expression is equivalent to the expression below?

Question

4, q, plus, 4, r, plus, q, plus, q, plus, q
4q+4r+q+q+q
Answer
Multiple Choice Answers
q, plus, 4, rq+4r
7, q, plus, 4, r7q+4r
11, q11q
5, q5q

Answer 1

To simplify the expression \( 4q + 4r + q + q + q \):

1. Combine the \( q \) terms:

   • You have \( 4q + q + q + q \).
   • This is \( 4q + 3q = 7q \).

2. The expression now becomes:

   • \( 7q + 4r \).

Now, let's match this result with the multiple-choice answers provided:

• \( q + 4r \) — does not match.
• \( 7q + 4r \) — matches our result.
• \( 11q \) — does not match.
• \( 5q \) — does not match.

Thus, the expression equivalent to \( 4q + 4r + q + q + q \) is:

Answer: \( 7q + 4r \).