Essay

Step-by-Step Evaluation of a Linear Expression

A quality control supervisor at a manufacturing plant is training new technicians on how to use standard formulas for equipment adjustment. The formula used for estimating the temperature adjustment is represented by the linear expression 3x5{}3x - 5, where xx represents the sensor variance factor.

Describe from memory the exact step-by-step mathematical procedure required to evaluate this expression when the sensor variance is recorded as x=2x = -2. In your response, make sure to detail:

  1. The initial substitution of the value into the expression and how parentheses are used to protect negative numbers.
  2. The arithmetic rule applied during the multiplication step and the product that results.
  3. The subtraction process and how subtracting a positive number from a negative number yields the final adjustment value.

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Updated 2026-06-17

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