Free PSAT Exam Questions That Helps Candidates Pass

Add 11: 4x=20. Divide: x=5. Choice C correct. Substitution: 4(5)-11=20-11=9. Works. On PSAT, verifying with substitution confirms accuracy.

“Nevertheless” introduces contrast—admiration vs. caution. Choice C correct. On PSAT, contrast transitions mark nuanced perspectives.

“Indeed” intensifies or reinforces the preceding claim. Here, it emphasizes renewable energy’s importance. Choice A correct. B–D misread function. On PSAT, rhetorical markers like “indeed” usually strengthen or emphasize.

Vertex formula: x=−b/(2a)x = -b/(2a). Here a=2,b=−8a=2, b=-8. So x=−(−8)/(4)=8/4=2x = -(-8)/(4) = 8/4 = 2. Substitute: f(2)=2(4)−8(2)+6=8−16+6=−2f(2) = 2(4) - 8(2) + 6 = 8 - 16 + 6 = -2. Vertex: (2, -2). Choice A correct. Choice B miscomputes yy. Choices C and D misplace xx. On PSAT, vertex calculation may be asked explicitly or indirectly (minimum/maximum values). Key steps: apply formula, substitute, simplify carefully. Recognizing that quadratic is symmetric around x=2x=2 reinforces accuracy.

The passage contrasts “invested heavily” with “fossil fuels still supplied most.” This means fossil fuels remained dominant. Choice B correct. A and D are contradicted, C is unsupported. On PSAT inference, focus on contrasts like “though” to see nuanced outcomes.