Question

question
which expression is equivalent to the expression below?
$p + p + p + p + p + q + q + q$
answer
$5p + 3q$ $p^5q^3$
$\frac{p}{5} + \frac{q}{3}$ $8 + p + q$

Explanation:

Step1: Count the number of p terms

There are 5 p's added together, so \( p + p + p + p + p = 5p \)

Step2: Count the number of q terms

There are 3 q's added together, so \( q + q + q = 3q \)

Step3: Combine the two results

Adding the two simplified terms together gives \( 5p + 3q \)

Answer:

5p + 3q (the first option)