Question

Which expression is equivalent to the expression below?
7, p, plus, 3, left parenthesis, 2, q, plus, 9, p, right parenthesis
7p+3(2q+9p)
Answer
Multiple Choice Answers
7, left parenthesis, p, plus, 6, q, plus, 27, p, right parenthesis7(p+6q+27p)
minus, 2, p, plus, 12, q−2p+12q
minus, p, plus, 9, q−p+9q
34, p, plus, 6, q34p+6q

Answer 1

Let's simplify the given expression step by step.

The expression is:

\[ 7p + 3(2q + 9p) \]

First, distribute the 3 to the terms inside the parentheses:

\[ 7p + 3 \cdot 2q + 3 \cdot 9p \]

This simplifies to:

\[ 7p + 6q + 27p \]

Next, combine like terms (the \( p \) terms):

\[ (7p + 27p) + 6q \]

This results in:

\[ 34p + 6q \]

Therefore, the expression \( 7p + 3(2q + 9p) \) simplifies to:

\[ 34p + 6q \]

From the multiple choice answers provided, the correct equivalent expression is:

**34, p, plus, 6, q (34p + 6q)**