755 prompts matching "What Cramer's rule gives when the system is inconsistent"
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Quiz: Subtracting one surd from another
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Worked Example: Rationalising a denominator that is a single surd
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Show All Working: Checking a rationalised answer by decimal approximation
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Explain Back: The difference of two squares applied to surd conjugates
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Show All Working: A conjugate where the surd term comes first
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Worked Example: Squaring both sides safely when solving a surd equation
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Spot My Mistake: Solving a surd equation that leads to a quadratic
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Common Mistakes: A surd equation that has no real solution
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Explain Back: A binary operation defined on the integers
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Spot My Mistake: A binary operation defined on a set of three elements
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Quiz: Testing the odd numbers for closure under addition
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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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Explain Back: What it means for an operation to be associative
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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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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Distributivity on a set of three elements
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