Explanation:
Comment on the problem and solutions ...
I like Mia's method best. It gets rid of the common factor of 3 to start with, then rearranges to the form you want. It helps to know how to do this yourself, so that you can compare the method you use to the ones shown.
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1. Jared:
step (1) - subtraction property of equality; 12x was subtracted from both sides of the equation
step (2) - division property of equality; 3 was divided from all terms of the equation
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2. Molly:
step (1) - subtraction property of equality: 12x was subtracted from both sides of the equation
step (2) - INCORRECT - 3 was divided from two of the three terms of the equation. By not appropriately applying the division property of equality, the result is a different relation between x and y than in the original equation.
step (3) - terms are rearranged according to the commutative property of addition
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3. Mia:
step (1) - division property of equality; 3 was divided from all terms of the equation.
step (2) - subtraction property of equality; 4x was subtracted from both sides of the equation.
step (3) - commutative property of addition; the order of the terms was swapped.
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4. Ali:
step (1) - subtraction property of equality; 12x was subtracted from both sides of the equation.
step (2) - division property of equality; all terms were divided by 3.
step (3) - INCORRECT - only the right side of the equation was multiplied by -1. The original sign of each term must be kept with the term when the order of terms is swapped.
