651 prompts matching "Solve x^2 - 6x - 16 = 0 with full exam working"
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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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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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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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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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Final Revision: Why distributivity links two operations rather than one
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Learn: What an identity element is
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Quiz: Finding the identity element from an operation table
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Practice: Why an identity element must work from both sides
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Spot My Mistake: Finding the inverse of a given element
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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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Quiz: The law for dividing powers of the same base
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Practice: The law for a power raised to another power
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