Which expression is equivalent to the expression below?

Question

5, q, plus, 6, r, plus, q, plus, q
5q+6r+q+q
Answer
Multiple Choice Answers
3, q, plus, 6, r3q+6r
9, q9q
7, q, plus, 6, r7q+6r
13, q13q

Answer 1

To simplify the expression \( 5q + 6r + q + q \):

1. Combine the \( q \) terms.

   • There are \( 5q \) and two more \( q \) (which is the same as \( 1q + 1q \)).
   • So, \( 5q + q + q = 5q + 1q + 1q = 5q + 2q = 7q \).

2. Include the \( r \) term, which remains \( 6r \).

Putting it all together, the expression simplifies to:

\[ 7q + 6r \]

Thus, the correct answer from the choices you provided is:

7, q, plus, 6, r (7q + 6r).