Question

1. ( 2(x + 14)+(2x - 14)= ) ( 4x + 14 ) ( \frac{+2x}{4x+14} ) ( \frac{14}{14} ) 6. ( (11x - 8)+7(x - 1)= ) ( 16x + 15 ) ( \frac{11x}{7x}\frac{18}{-15} ) 7. 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) 8. 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. 10. ( (-3.5x + 1.7)+(9.1x - 0.3)= ) 11. ( (0.5x + 15)+(8.2x - 16.6)= )

Explanation:

Step1: Combine like terms

For the sum of \((x + 5)+(-4x - 2)+(2x - 1)\), first group the \(x\) - terms and the constant terms.
The \(x\) - terms: \(x-4x + 2x=(1 - 4+2)x=-x\)
The constant terms: \(5-2 - 1=(5-(2 + 1))=2\)

Answer:

\(-x + 2\)