755 prompts matching "Teach me Cramer's rule from first principles"
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Common Mistakes: Rationalising a denominator of the form root a over root b
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Worked Example: Why multiplying by the conjugate clears the surd
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Explain Back: The difference of two squares applied to surd conjugates
I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur
Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Worked Example: Squaring both sides safely when solving a surd equation
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Spot My Mistake: Solving a surd equation that leads to a quadratic
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
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Common Mistakes: A surd equation that has no real solution
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Worked Example: Reading the symbol used for a binary operation
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Explain Back: A binary operation defined on the integers
I have just studied a binary operation defined on the integers in my SS1 Further Mathemati
Show All Working: Evaluating a repeated operation such as a*(b*c)
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Worked Example: Testing the even numbers for closure under addition
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Explain Back: Testing the integers for closure under division
I have just studied testing the integers for closure under division in my SS1 Further Math
Spot My Mistake: Reading closure off an operation table
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Show All Working: Showing a set is not closed by a single counter-example
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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Show All Working: An operation that is associative but not commutative
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Common Mistakes: Subtraction as an example of neither law
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