755 prompts matching "The range of values of k for which the roots are real"
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Worked Example: Why multiplying by the conjugate clears the surd
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Final Revision: Deciding whether a given rule really is a binary operation
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Common Mistakes: Closure on a set of three elements under a stated rule
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Worked Example: Testing a*b against b*a for a given rule
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Explain Back: What it means for an operation to be associative
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Worked Example: Testing whether star distributes over plus
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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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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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Common Mistakes: Checking an inverse by working the operation both ways
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Final Revision: Identity and inverse together, and what they give the set
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Common Mistakes: Why the index laws need the bases to match
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Final Revision: Evaluating a numerical expression using the index laws
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WAEC Prep: Simplifying a logarithmic expression before evaluating it
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Final Revision: Proving a logarithmic identity from the laws
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Spot My Mistake: A logarithm to base e, the natural logarithm
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WAEC Prep: Solving an exponential equation by taking logarithms of both sides
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Final Revision: Using change of base to prove a stated relation
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