755 prompts matching "The hyperbola in standard form, and its asymptotes"
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Practice: Testing a set for closure under multiplication
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Spot My Mistake: Reading closure off an operation table
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Show All Working: Showing a set is not closed by a single counter-example
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Quiz: Reading commutativity off a symmetrical operation table
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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Show All Working: An operation that is associative but not commutative
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Common Mistakes: Subtraction as an example of neither law
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Final Revision: Why brackets matter when an operation is not associative
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Learn: What it means for one operation to distribute over another
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Quiz: Left distributivity and right distributivity
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Spot My Mistake: Checking distributivity from two operation tables
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Show All Working: Using distributivity to simplify an expression
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Show All Working: An element with no inverse under a given operation
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Practice: The law for a power raised to another power
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Spot My Mistake: The law for a quotient raised to a power
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Learn: Why any non-zero number to the power nought is one
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Practice: A fractional index with numerator one, read as a root
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Spot My Mistake: A negative fractional index
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Common Mistakes: Writing a root as a fractional index before simplifying
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