Free PSAT Exam Questions That Helps Candidates Pass

The second sentence illustrates the first, so “For example” is correct. “However” wrongly implies opposition. A correct. Others alter meaning or grammar. On PSAT, the transition must reflect relationship: general → specific.

By Pythagoras: 8²+15²=64+225=289 →√289=17. Choice B correct. Recognizing 8–15–17 triple helps. On PSAT, such triples often appear for efficiency.

Factor: x2−9x+20=(x−4)(x−5)x^2-9x+20=(x-4)(x-5). Roots: 4, 5. Choice A correct. Others are sign errors. On PSAT, factoring is often the fastest method for integer roots.

“Data” is plural, so correct verb = “show.” Choice A correct. Others misuse agreement or grammar. On PSAT, Latin-derived words like “data” or “criteria” often test agreement.

Factor: x2+2x−8=(x+4)(x−2)x^2+2x-8=(x+4)(x-2). Roots: -4 and 2. Choice A correct. Others misread signs. PSAT quadratic problems often factor neatly.