Use the distributive property to simplify the following expressions.

1. 5 ( n + 7 )

2. 3 ( w - 6 )

1. 5 ( n + 7 )

5n + 35

I'll be glad to check your answer to number 2.

2. 3W - 18

Right.

thank you, ms.sue

To simplify the expressions using the distributive property, we need to expand the multiplication by distributing the number outside the parentheses to each term inside the parentheses.

1. 5 (n + 7)
To distribute the 5, we multiply it with each term inside the parentheses:
= 5 * n + 5 * 7

The first term, 5 * n, simplifies to 5n.
The second term, 5 * 7, simplifies to 35.

So, the simplified expression is: 5n + 35.

2. 3 (w - 6)
To distribute the 3, we multiply it with each term inside the parentheses:
= 3 * w - 3 * 6

The first term, 3 * w, simplifies to 3w.
The second term, 3 * 6, simplifies to 18.

So, the simplified expression is: 3w - 18.