Question

1. write a linear expression in simplest form to represent the perimeter of the triangle at the right. then find the perimeter if the value of x is 10 millimeters.
2. a rectangle has side lengths (2x - 5) meters and (2x + 6) meters. write a linear expression in simplest form to represent the perimeter. find the perimeter if the value of x is 12 meters.
3. find the sum of (x + 5), (-4x - 2), and (2x - 1).

add.

1. (-3.5x + 1.7) + (9.1x - 0.3) =
2. (0.5x + 15) + (8.2x - 16.6) =

Explanation:

Step1: Solve problem 9

Combine like terms

\((x + 5)+(-4x - 2)+(2x - 1)=(x-4x + 2x)+(5 - 2-1)=-x + 2\)

Step2: Solve problem 10

Combine like terms

\((-3.5x + 1.7)+(9.1x - 0.3)=(-3.5x+9.1x)+(1.7 - 0.3)=5.6x + 1.4\)

Step3: Solve problem 11

Combine like terms

\((0.5x + 15)+(8.2x - 16.6)=(0.5x+8.2x)+(15 - 16.6)=8.7x - 1.6\)

Answer:

1. \(-x + 2\)
2. \(5.6x + 1.4\)
3. \(8.7x - 1.6\)