Question

Which expression is equivalent to 53p + (16p + 7p)?
A. (53p * 16p) * 7p
B. (16p + 7p) * 53p
C. (16p * 7p) + 53p
D. (53p + 16p) + 7p

Answer 1

To simplify the expression \(53p + (16p + 7p)\):

1. First, simplify the expression inside the parentheses:
\[
16p + 7p = 23p
\]

2. Now substitute back into the expression:
\[
53p + 23p
\]

3. Combine the terms:
\[
53p + 23p = 76p
\]

Now, let's evaluate the options to determine which one is equivalent to \(76p\):

A. \((53p * 16p) * 7p\) - This expression does not simplify to a linear term in \(p\).

B. \((16p + 7p) * 53p\) - This simplifies to \(23p * 53p = 1219p^2\).

C. \((16p * 7p) + 53p\) - This simplifies to \(112p^2 + 53p\).

D. \((53p + 16p) + 7p\) - This simplifies to \(69p + 7p = 76p\).

The correct answer is:

**D. \((53p + 16p) + 7p\)**