466 prompts matching "Choose your own method command word: solving a quadratic"
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on finding a and b
Worked Example: Reading the symbol used for a binary operation
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Final Revision: Deciding whether a given rule really is a binary operation
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Worked Example: Testing the even numbers for closure under addition
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Show All Working: Showing a set is not closed by a single counter-example
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Final Revision: Why closure is checked before any other property
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Worked Example: Testing a*b against b*a for a given rule
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Show All Working: An operation that is associative but not commutative
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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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Show All Working: Using distributivity to simplify an expression
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Final Revision: Why distributivity links two operations rather than one
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Show All Working: An element with no inverse under a given operation
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Final Revision: Identity and inverse together, and what they give the set
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Worked Example: The law for multiplying powers of the same base
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Show All Working: Simplifying an expression with letters and indices
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Final Revision: Evaluating a numerical expression using the index laws
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Worked Example: Rewriting a negative index as a fraction
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