755 prompts matching "Teach me Cramer's rule from first principles"
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Worked Example: Testing whether star distributes over plus
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Explain Back: Showing distributivity fails by a counter-example
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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Checking an inverse by working the operation both ways
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Explain Back: The law for a product raised to a power
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Spot My Mistake: The law for a quotient raised to a power
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Show All Working: Simplifying an expression with letters and indices
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Common Mistakes: Why the index laws need the bases to match
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Worked Example: Rewriting a negative index as a fraction
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Spot My Mistake: A negative fractional index
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Show All Working: Simplifying an expression that mixes the index types
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Common Mistakes: Writing a root as a fractional index before simplifying
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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Spot My Mistake: An indicial equation involving fractional bases
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Show All Working: A word problem that leads to an indicial equation
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Common Mistakes: An indicial equation solved by substitution
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Explain Back: The logarithm of one, in any base
I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.
Spot My Mistake: The logarithm of the base itself
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Show All Working: The common logarithm, to base ten
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Worked Example: The law for the logarithm of a quotient
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