199 prompts matching "A compound proposition built from three simple ones"
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Quiz: Rationalising a denominator of the form one over 2 plus root 3
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Practice: Rationalising a denominator of the form a plus root b over c minus root d
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Final Revision: Checking a conjugate answer by multiplying back
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Learn: Solving an equation with a single square root term
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Quiz: Checking a surd equation for extraneous roots
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Practice: Solving an equation with a surd on each side
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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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Practice: A binary operation set out as a table
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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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Quiz: Testing the odd numbers for closure under addition
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Practice: Testing a set for closure under multiplication
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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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Quiz: Reading commutativity off a symmetrical operation table
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Practice: An operation that is not commutative, with a counter-example
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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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