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spring 2021 10b #2 strikes again

Source: 2022 AMC 10A #6

November 11, 2022
AMC 10AMC2022 AMC 10a2022 AMCalgebraabsolute value

Problem Statement

Which expression is equal to ∣a−2−(a−1)2∣\left | a-2-\sqrt{(a-1)^2} \right| for a<0a<0?
<spanclass=′latex−bold′>(A)</span>3−2a<spanclass=′latex−bold′>(B)</span>1−a<spanclass=′latex−bold′>(C)</span>1<spanclass=′latex−bold′>(D)</span>a+1<spanclass=′latex−bold′>(E)</span>3<span class='latex-bold'>(A) </span> 3-2a \qquad <span class='latex-bold'>(B) </span> 1-a \qquad <span class='latex-bold'>(C) </span> 1 \qquad <span class='latex-bold'>(D) </span> a+1 \qquad <span class='latex-bold'>(E) </span> 3
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