Justification of work
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This document provides guidance on showing work for math problems. It recommends writing out each step to allow for partial credit if incorrect and to help identify errors. An example problem is shown, solving the equation "3 times a number subtracted from 9 is equal to 2 times the same number increased by 4". The full work is displayed, including setting up the equation, subtracting variables and constants, dividing by the coefficient, and plugging back in to check the solution.
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Justification of work
- 2. How can I explain my work? • When given a problem that is not multiple choice, be sure to show your work! This way I can give partial credit if it is available and I can give better feedback based on where you might have gone wrong.
- 3. Example • Solve the following equation: • 3 times a number subtracted from 9 is equal to 2 times the same number increased by 4.
- 4. • First, turn this into an equation: • 9 – 3x = 2x + 4 • Then subtract variables to the left and constants to the right • 9 – 3x = 2x + 4 • -9 -2x -2x -9 • -5x = -5
- 5. • Last, divide by the coefficient • -5x = -5 • /-5 /-5 • X = 1
- 6. • If you are asked to explain or justify your work, just make sure to include what we just did. It’s also a good idea to plug the number back in to make sure it is correct. • 9 – 3x = 2x + 4 • • 9 – 3(1) = 2 (1) + 4 • 9 -3 = 2 + 4 • 6 = 6 • This is correct!