Question

Practice use the distributive property to write an equivalent expression 11 ( 5 + 2p ) = ( ___x ___ ) + ( ___ x __ )

Answer 1

To use the distributive property on the expression \( 11(5 + 2p) \), we distribute \( 11 \) to both terms inside the parentheses.

This can be done as follows:

\[
11(5 + 2p) = 11 \cdot 5 + 11 \cdot 2p
\]

Now, calculate each part:

1. \( 11 \cdot 5 = 55 \)
2. \( 11 \cdot 2p = 22p \)

Putting it all together, we have:

\[
11(5 + 2p) = 55 + 22p
\]

Now to fill in the blanks in the format you provided, we identify:

- The expression can be written as \( (11 \times 5) + (11 \times 2p) \).

So, the completed expression is:

11 ( 5 + 2p ) = \( (11 \times 5) + (11 \times 2p) \).

In the blanks:

- First blank: \( 11 \)
- Second blank: \( 5 \)
- Third blank: \( 11 \)
- Fourth blank: \( 2p \)

So, filling in the blanks:

11 ( 5 + 2p ) = ( **11** x **5** ) + ( **11** x **2p** )