755 prompts matching "Explain biconditional and equivalence back to me"
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Worked Example: Squaring both sides safely when solving a surd equation
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari
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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Common Mistakes: A surd equation that has no real solution
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Learn: What a binary operation actually is
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Worked Example: Reading the symbol used for a binary operation
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Quiz: Evaluating a*b from a given rule
Act as my SS1 Further Mathematics tutor and quiz me on evaluating a*b from a given rule. A
Practice: A binary operation set out as a table
Act as my SS1 Further Mathematics tutor. Give me five practice questions on a binary opera
Common Mistakes: A binary operation that is ordinary addition in disguise
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Final Revision: Deciding whether a given rule really is a binary operation
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Worked Example: Testing the even numbers for closure under addition
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Quiz: Testing the odd numbers for closure under addition
Act as my SS1 Further Mathematics tutor and quiz me on testing the odd numbers for closure
Practice: Testing a set for closure under multiplication
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Spot My Mistake: Reading closure off an operation table
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Final Revision: Why closure is checked before any other property
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Worked Example: Testing a*b against b*a for a given rule
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Practice: An operation that is not commutative, with a counter-example
Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t
Spot My Mistake: Testing (a*b)*c against a*(b*c)
Act as my SS1 Further Mathematics tutor. Work a question on testing (a*b)*c against a*(b*c
Common Mistakes: Subtraction as an example of neither law
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Final Revision: Why brackets matter when an operation is not associative
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