Linear Expression: 8x -22 Value of Perimeter if x =12: 74
Practice makes perfect
Consider a rectangle with side lengths of (2x-5) meters and (2x+6) meters.
We want to write the perimeter of this rectangle as a linear expression in simplest form. We have 2 sides that have a length of (2x-5) meters and 2 sides that have a length of (2x=6) meters. Therefore, we can write the following expression for the perimeter of this rectangle.
2( 2x-5) + 2( 2x-6)Next, let's use the Distributive Property to simplify our expression.
Now, let's identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined.
( 4x - 10)+( 4x - 12)
In this case, we have two x-terms and two constants. Let's arrange the like terms in columns. Then, let's perform the addition.
& 4 x -10
&+ 4 x - 12
& 8 x -22
Therefore, we have the following linear expression in a simplest form for the perimeter of the rectangle.
8x -22
Finally, we want to find the perimeter if x = 12. To do so, we will substitute 12 for x in our expression and simplify.
