755 prompts matching "Give me practice with the quadratic formula"
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Worked Example: What makes two surds equal
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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds
I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat
Common Mistakes: Expressing root 50 as a multiple of root 2
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Explain Back: Multiplying root a by root b
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Show All Working: Simplifying a surd expression that contains brackets
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Worked Example: Rationalising a denominator that is a single surd
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Show All Working: Checking a rationalised answer by decimal approximation
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Worked Example: Squaring both sides safely when solving a surd equation
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Common Mistakes: A surd equation that has no real solution
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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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Show All Working: Showing a set is not closed by a single counter-example
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Show All Working: An operation that is associative but not commutative
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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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Worked Example: Rewriting a negative index as a fraction
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Common Mistakes: Writing a root as a fractional index before simplifying
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Worked Example: Solving an indicial equation where one side must be factorised first
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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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