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Jakob simplified the expression as shown, \( (87 x-3)-(34 x-1)=(2 x-2) \) \( 6.7 x-3-34 x-1-2 x-2 \) \( (6.7 x-34 x-2 x)+(-3-1-2) \) \( 1.3 x-8 \) What was Jakob's error in subtracting the expres He used the commutative property incorrectl) He used the distributive property incorrectly, He used the associative property incorrectly, He simplified the \( x \) coefficients incorrectly,

Ask by Brewer Chambers. in the United States
Feb 03,2025

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Jakob incorrectly simplified the coefficients of \( x \), resulting in an incorrect final expression.

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Bonus Knowledge

Jakob's error stems from confusing the order of operations when he combined his like terms. Specifically, he didn't properly handle the coefficients of \( x \) when rearranging his terms. His resulting expression should have maintained accurate coefficients throughout, but instead, he ended up with an incorrect value of \( 1.3 x \). A crucial step to avoid such errors lies in double-checking each operation you perform. When simplifying, always keep track of your coefficients carefully and ensure you apply the right property. In this case, properly subtracting \( 87 x - 34 x \) should have led to a different coefficient than what Jakob concluded.

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