393 prompts matching "Proving two given lines parallel from their gradients"
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Quiz: Checking a surd equation for extraneous roots
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Practice: Solving an equation with a surd on each side
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Learn: What a binary operation actually is
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Worked Example: Reading the symbol used for a binary operation
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Practice: A binary operation set out as a table
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Learn: What closure means for a binary operation
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Worked Example: Testing the even numbers for closure under addition
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Quiz: Testing the odd numbers for closure under addition
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Practice: Testing a set for closure under multiplication
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Show All Working: Showing a set is not closed by a single counter-example
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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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Practice: An operation that is not commutative, with a counter-example
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Show All Working: An operation that is associative but not commutative
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Learn: What it means for one operation to distribute over another
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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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Show All Working: Using distributivity to simplify an expression
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