755 prompts matching "Practice: The ellipse in standard form, and its two axes"
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Common Mistakes: Checking an inverse by working the operation both ways
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Quiz: The law for dividing powers of the same base
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Show All Working: Simplifying an expression with letters and indices
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Common Mistakes: Why the index laws need the bases to match
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Final Revision: Evaluating a numerical expression using the index laws
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Quiz: A negative index on a fraction, and turning it upside down
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Show All Working: Simplifying an expression that mixes the index types
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Learn: Solving an equation by writing both sides to the same base
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Learn: The definition of a logarithm as the index
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Show All Working: The common logarithm, to base ten
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Spot My Mistake: Evaluating an expression using the laws of logarithms
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Final Revision: Proving a logarithmic identity from the laws
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Quiz: Finding the nth term of a linear sequence
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Show All Working: Deciding whether a given number is a term of a sequence
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Spot My Mistake: Finding the common difference from two given terms
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Show All Working: Deciding whether a number belongs to a given arithmetic progression
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Worked Example: The alternative sum formula that uses the last term
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Show All Working: The sum of the terms lying between two given positions
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Final Revision: Deciding whether a given sequence is a geometric progression
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Worked Example: Which form of the sum formula to use when r is less than one
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