651 prompts matching "Word problem leading to a factorable quadratic"
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Worked Example: Testing a*b against b*a for a given rule
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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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Common Mistakes: Subtraction as an example of neither law
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Final Revision: Why brackets matter when an operation is not associative
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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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Common Mistakes: Distributivity on a set of three elements
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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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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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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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Common Mistakes: Checking an inverse by working the operation both ways
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Learn: Reading index notation, the base and the exponent
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Worked Example: The law for multiplying powers of the same base
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