Why do I miss SAT inequality questions with tables
It shows up as an inequality and four small tables of x and y values, with the question asking which table satisfies it.
The trap
The first row of several tables is the same point, and it works, so nothing separates them at a glance. Many students check a second row, find that those tables still work, and pick whichever one looks most like the others, because at that point it feels like the work is done. Tables get built to survive two rows and fail on the third. One fails quietly, because its last point lands exactly on the line and a strict inequality does not include the line. Another catches the student who did the arithmetic correctly and then compared in the wrong direction, because every point in it sits just below the line.
The rule
An inequality is settled by substitution, not by inspection. A table qualifies only if every row passes, so check the last row before the first.
Desmos
Technique 5 from the Desmos Strategy Guide. Type the inequality and Desmos shades the region. Then type each table's three points and look at which set sits entirely inside the shading. A point on the boundary is visibly on the line, which is what a strict inequality leaves out. It is faster than nine substitutions and it cannot drop a sign.
If it keeps happening
Three practice tests in a row here means the student stops checking once the answer looks settled, and that habit costs points across the whole Math section rather than on these questions alone. That is why it is worth fixing at any score, and why the thing to fix is the habit rather than the topic.
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