755 prompts matching "Structured question: solve and check a quadratic equation"
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Worked Example: Rationalising a denominator that is a single surd
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on ration
Explain Back: Simplifying the answer once the denominator is rational
I have just studied simplifying the answer once the denominator is rational in my SS1 Furt
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
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
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
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
I have just studied what it means for an operation to be associative in my SS1 Further Mat
Worked Example: Testing whether star distributes over plus
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Explain Back: Showing distributivity fails by a counter-example
I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma
Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Explain Back: What an inverse element is
I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me
Worked Example: The law for multiplying powers of the same base
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Explain Back: The law for a product raised to a power
I have just studied the law for a product raised to a power in my SS1 Further Mathematics
Worked Example: Rewriting a negative index as a fraction
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Explain Back: A fractional index with a numerator above one
I have just studied a fractional index with a numerator above one in my SS1 Further Mathem
Worked Example: Writing an index statement as a logarithm
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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.