Which expressions are equivalent to 
\[5p+3p+(-9)\] ?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)   
\[8p+9\]
A
\[8p+9\]
(Choice B)   
\[3(p+(-3))+5p\]
B
\[3(p+(-3))+5p\]
(Choice C)   None of the above
C
None of the above

Let's simplify the expression \[5p + 3p + (-9)\].

1. Combine like terms: 
   \[
   5p + 3p = 8p
   \]
   So the expression becomes:
   \[
   8p + (-9), \text{ which is } 8p - 9.
   \]

Now let's check the choices:

- **Choice A: \[8p + 9\]**  
  This is not equivalent, as the constant term here is \(+9\), while in the original expression, it is \(-9\).  
  **Choice A is incorrect.**

- **Choice B: \[3(p + (-3)) + 5p\]**  
  First, simplify this:
  \[
  3(p + (-3)) = 3p + (-9) = 3p - 9
  \]
  Adding \(5p\) to this:
  \[
  3p - 9 + 5p = 8p - 9
  \]
  This matches the simplified form of the original expression.  
  **Choice B is correct.**

- **Choice C: None of the above**  
  Since we found that Choice B is correct, **Choice C is incorrect**.

Thus, the correct answer is **Choice B**.

Would you like more details, or do you have any questions?

Here are five related questions to practice:
1. Simplify \[4x + 2x + (-5)\].
2. Which expression is equivalent to \[7y + 3y - 4\]?
3. Combine like terms: \[6a + 9 + (-4a)\].
4. Simplify \[2b + (-3b) + 5\].
5. Which of the following is equivalent to \[9p + (-3p) + 6\]?

**Tip:** Always group and simplify like terms first when working with algebraic expressions.

Which expressions are equivalent to 5p + 3p + (-9)? Choose all answers that apply: (Choice A) 8p+9, (Choice B) 3(p+(-3))+5p, (Choice C) None of the above.

Learn how to simplify the algebraic expression 5p + 3p + (-9) by combining like terms. This problem focuses on algebraic simplification and the distributive property, suitable for students in Grades 6-8.

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