–7w2 – 2w – 1) – (–5w2 + 3w – 2)

Question

A. 12w2 + 5w + 1
B. –2w2 – 5w – 1
C. –2w2 – 5w + 1
D. –12w2 – 5w – 3

Answer 1

First, we need to distribute the negative sign in front of the second set of parentheses:

-7w2 - 2w - 1 + 5w2 - 3w + 2

Next, we can combine like terms:

-2w2 - 5w + 1

Therefore, the answer is C. -2w2 - 5w + 1.

Answer 2

Look at the given rectangle. Write a polynomial expression in simplest form for the perimeter of the rectangle.
rectangle
A. 10x + 10 + 4x – 2
B. 14x + 12
C. 14x + 8
D. 2(5x + 5) + 2(2x – 1)

Answer 3

The perimeter of a rectangle is found by adding up the lengths of all four sides. In this case, the top and bottom sides are each of length 5x+5, and the left and right sides are each of length 2x-1. Therefore, the perimeter is:

2(5x+5) + 2(2x-1)

Simplifying this expression, we get:

10x + 10 + 4x - 2

Combining like terms, we get:

14x + 8

Therefore, the answer is C. 14x + 8.