Question

which expressions are equivalent to \\(5p + 3p + (-9)\\)?

choose all answers that apply:

a \\(8p + 9\\)

b \\(3(p + (-3)) + 5p\\)

c none of the above

Explanation:

Simplify the original expression

$$ 5p + 3p + (-9) = (5+3)p - 9 = 8p - 9 $$

Evaluate Option A

$$ 8p + 9 eq 8p - 9 $$

Evaluate Option B

$$ 3(p + (-3)) + 5p = 3p - 9 + 5p = 8p - 9 $$

Answer:

• (A) \(8p + 9\)
• (B) \(3(p + (-3)) + 5p\) (Correct answer)
• (C) None of the above