Question

which expressions are equivalent to \\(q + p + q + p + q\\)?

choose all answers that apply:

a \\(2p + 3q\\)

b \\(2(p + q) + q\\)

c none of the above

Explanation:

Simplify the original expression

Using the Simplifying Expressions knowledge point

$$
LATEXBLOCK0
$$

Evaluate option A

Using the Equivalent Expressions knowledge point

$$ 2p + 3q = 2p + 3q $$

Evaluate option B

Using the Distributive Property and Equivalent Expressions knowledge points

$$
LATEXBLOCK1
$$

Answer:

• (A) \(2p + 3q\) (Correct answer)
• (B) \(2(p + q) + q\) (Correct answer)
• (C) None of the above