755 prompts matching "find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1"
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Final Revision: Expressing a rationalised answer in the form a root b over c
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Worked Example: Squaring both sides safely when solving a surd equation
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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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Spot My Mistake: A binary operation defined on a set of three elements
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Final Revision: Deciding whether a given rule really is a binary operation
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Spot My Mistake: Reading closure off an operation table
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Common Mistakes: Closure on a set of three elements under a stated rule
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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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Common Mistakes: Subtraction as an example of neither law
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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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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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Quiz: The law for dividing powers of the same base
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Final Revision: Evaluating a numerical expression using the index laws
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Learn: Why any non-zero number to the power nought is one
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Quiz: An indicial equation that becomes a quadratic in a power
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