1,332 prompts matching "Teach me what a logical argument is"
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Practice: Testing a binary operation for associativity
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Worked Example: Collecting like surds in a single sum
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Quiz: Multiplying two surds and simplifying the result
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Practice: Converting between index form and logarithm form
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Quiz: Forming a quadratic equation whose roots are given
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Practice: The condition for a quadratic equation to have equal roots
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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Practice: Finding alpha minus beta from the sum and the product
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Worked Example: Evaluating a polynomial by substitution
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Quiz: The product of the roots of a cubic
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Practice: Finding the third root of a cubic when two are known
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Quiz: Solving a quadratic inequality using a sign table
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Practice: Solving an inequality with the unknown in the denominator
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Worked Example: The difference between a permutation and a combination
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Quiz: Choosing a committee of r people from n
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Practice: Choosing a committee that must contain one particular person
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Worked Example: The identities for one plus tan squared and one plus cot squared
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