363 prompts matching "A longer statement tested for tautology"
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Learn: The conjugate of a compound surd expression
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Worked Example: Why multiplying by the conjugate clears the surd
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Learn: Solving an equation with a single square root term
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Worked Example: Squaring both sides safely when solving a surd equation
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Practice: Solving an equation with a surd on each side
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Spot My Mistake: Solving a surd equation that leads to a quadratic
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Learn: What a binary operation actually is
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Quiz: Evaluating a*b from a given rule
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Practice: A binary operation set out as a table
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Spot My Mistake: A binary operation defined on a set of three elements
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Spot My Mistake: Reading closure off an operation table
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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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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Worked Example: Testing whether star distributes over plus
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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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Learn: What an identity element is
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