1,215 prompts matching "Multi-part algebraic manipulation exam question"
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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements
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Common Mistakes: Showing that intersection distributes over union
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Final Revision: The power set, and how many subsets a set of n elements has
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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
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Quiz: Testing a binary operation for commutativity
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Practice: Testing a binary operation for associativity
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Explain Back: Finding the identity element of a binary operation
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Final Revision: Deciding whether a set under an operation forms a group
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Learn: Simplifying a surd by extracting the largest perfect square
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Practice: Rationalising a denominator of the form root a
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
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Spot My Mistake: Squaring a bracket that contains a surd
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Final Revision: Proving that root 2 is irrational
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Quiz: Solving an index equation by writing both sides to the same base
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Practice: Converting between index form and logarithm form
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Explain Back: The laws of logarithms for a product and for a quotient
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Spot My Mistake: The power law of logarithms
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