Digital SAT Math Practice Question #2177
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Desmos Hack: Graph $y_1 = \text{Left Side}$ and $y_2 = \text{Right Side}$. Where they intersect are your exact solutions. If they never touch, no real solutions.
$x + 8 = 2x - 1 \implies x = 9$. Check: $|9+8| = 17 = 2(9)-1=17$ (valid). Or $x + 8 = -(2x - 1) = -2x + 1 \implies 3x = -7 \implies x = -7/3$. Check: $2(-7/3)-1 = -17/3 < 0$, impossible! Thus $x = 9$ is the only valid solution....
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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