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

Answer 1

Option B, represented by the expression 3(p+(-3))+5p, is equivalent to the original expression 5p+3p+(-9) as they both simplify to 8p - 9.

Step-by-step explanation:

The question asks which expressions are equivalent to the algebraic expression 5p+3p+(-9). To find equivalent expressions, we combine like terms and simplify the expression if possible. First, let's simplify the given expression:

5p + 3p + (-9)

This combines to 8p - 9 since 5p and 3p are like terms and can be added together, and the -9 remains as is.

Now let's evaluate the given options:

• A. 8p + 9: This expression cannot be equivalent because it has a +9 instead of a -9.
• B. 3(p+(-3))+5p: To check this expression, distribute the 3 within the parentheses: 3p - 9 + 5p, which simplifies to 8p - 9, making it equivalent to the original expression.
• C. None of the above: This is not correct because option B is equivalent to the original expression.

Therefore, the expressions equivalent to 5p+3p+(-9) are option B.