Sub-topic 1
2025 · National One-Eighth
Free
Solving $\dfrac{x}{x-2}\lt0$ by critical points
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Sub-topic 2
2025 · National One-Eighth
Premium
Solving $\dfrac{2x-3}{x-1}\lt1$
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Sub-topic 3
2025 · National One-Eighth
Premium
Is $\dfrac{\sqrt{x-2}}{\sqrt{x+2}}$ a rational expression? (true/false)
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Sub-topic 4
2025 · National One-Eighth
Premium
Solving rational inequalities by the quick sign method
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Sub-topic 5
2026 · National Preliminary
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Checking solution sets of $\dfrac{x-1}{x+2}\lt0$ (true/false)
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Sub-topic 6
2026 · National Preliminary
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Checking solution sets of $\dfrac{x-1}{x+2}\lt0$ and $\dfrac{x-4}{x-7}\lt0$ (true/false)
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Sub-topic 7
2003 · National Semifinal
Premium
Simplifying $\dfrac{x^2-5x-6}{x-6}$
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Sub-topic 8
2003 · National Semifinal
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Simplifying $\dfrac{x^2+7x+12}{x+4}$
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Sub-topic 9
2022 · National Preliminary
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Solving $\dfrac{2}{x-1}\gt0$
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Sub-topic 10
2022 · National Preliminary
Premium
Solving $\dfrac{1}{x+3}\lt0$
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Sub-topic 11
2022 · National Preliminary
Premium
Solving $\dfrac{3}{2x-3}\gt0$
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