755 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"
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Common Mistakes: Distributivity on a set of three elements
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Practice: Why an identity element must work from both sides
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Common Mistakes: Checking an inverse by working the operation both ways
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Practice: The law for a power raised to another power
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Common Mistakes: Why the index laws need the bases to match
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Show All Working: Simplifying an expression that mixes the index types
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Practice: Solving 2 to the power x equals 32
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Practice: Evaluating log to base 2 of 8
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Show All Working: The common logarithm, to base ten
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Common Mistakes: Reading a logarithm from a table
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Practice: Combining two logarithms into one
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Show All Working: Comparing logarithms given in different bases
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Practice: Finding the nth term of a quadratic sequence
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Show All Working: Deciding whether a given number is a term of a sequence
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Practice: Finding the twentieth term of a given arithmetic progression
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Show All Working: Deciding whether a number belongs to a given arithmetic progression
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Practice: Finding n when the sum of an arithmetic progression is given
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Show All Working: The sum of the terms lying between two given positions
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Common Mistakes: Proving the sum formula by pairing the terms
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Practice: Finding the eighth term of a given geometric progression
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