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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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674 prompts matching "Cramer's rule applied to a pair with fractional coefficients"

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Worked Example: Why multiplying by the conjugate clears the surd

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WAEC Prep: Expressing the answer in the form a plus b root c

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Worked Example: Squaring both sides safely when solving a surd equation

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Explain Back: Solving an equation where the surd must be isolated first

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WAEC Prep: Equating the rational and the irrational parts of an equation

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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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Practice: A binary operation set out as a table

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Explain Back: A binary operation defined on the integers

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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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Practice: Testing a set for closure under multiplication

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Explain Back: Testing the integers for closure under division

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WAEC Prep: A set closed under one operation but not another

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WAEC Prep: An operation that is commutative but not associative

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Common Mistakes: Subtraction as an example of neither law

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Worked Example: Testing whether star distributes over plus

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Explain Back: Showing distributivity fails by a counter-example

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Common Mistakes: Distributivity on a set of three elements

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