Question

add. use models if needed. (examples 1 - 5)

1. $(4x + 8)+(7x + 3)=$
2. $(-3x + 7)+(-6x + 9)=$

3 $(x - 10)+(3x - 6)=$

1. $(-3x - 7)+(4x + 7)=$
2. $2(x + 14)+(2x - 14)=$
3. $(11x - 8)+7(x - 1)=$
4. 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. (example 6)
5. 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. (example 6)

9 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: Combine like terms

For \((4x + 8)+(7x + 3)\), combine the \(x\) - terms \(4x+7x\) and the constant terms \(8 + 3\).
\(4x+7x=(4 + 7)x=11x\) and \(8+3 = 11\)

Step2: Write the final expression

The sum is \(11x+11\)

Answer:

\(11x + 11\)