Question

PRACTICE: Use the distributive property to
write an equivalent expression

1) 11(5+2p)= (____ x ____) + (____ x ____) = ____ + ____
2) (3a + 2) 7 = (____ x ____) + (____ x ____) = ____ + ____

Answer 1

Sure! Let's use the distributive property to rewrite the expressions.

1) For the expression \( 11(5 + 2p) \):

Using the distributive property:

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

So we fill in the blanks:

- (11 x 5) + (11 x 2p) = 55 + 22p

The answer is:

1) 11(5+2p) = (11 x 5) + (11 x 2p) = 55 + 22p


2) For the expression \( (3a + 2) \times 7 \):

Using the distributive property:

\[
(3a + 2) \times 7 = 3a \times 7 + 2 \times 7
\]

So we fill in the blanks:

- (3a x 7) + (2 x 7) = 21a + 14

The answer is:

2) (3a + 2) 7 = (3a x 7) + (2 x 7) = 21a + 14

Now, both expressions are simplified using the distributive property!