575 prompts matching "Checking a root of a cubic by substitution"
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Learn: Why a surd is never left in the denominator
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Common Mistakes: A surd equation that has no real solution
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Final Revision: A word problem that leads to an equation in surd form
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Learn: What a binary operation actually is
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Final Revision: Deciding whether a given rule really is a binary operation
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Learn: What closure means for a binary operation
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Final Revision: Why closure is checked before any other property
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Learn: What it means for an operation to be commutative
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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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Final Revision: Why distributivity links two operations rather than one
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Learn: What an identity element is
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Final Revision: Identity and inverse together, and what they give the set
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Learn: Reading index notation, the base and the exponent
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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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Learn: Why any non-zero number to the power nought is one
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Common Mistakes: Reading a logarithm from a table
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