1,202 prompts matching "Why a conditional and its contrapositive are equivalent"
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Spot My Mistake: The power law of logarithms
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Common Mistakes: Solving an exponential equation using logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Practice: The condition for a quadratic equation to have equal roots
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Quiz: Finding alpha cubed plus beta cubed
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Show All Working: Finding a coefficient given a stated relation between the roots
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Practice: Factorising a cubic completely once one factor is known
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Show All Working: Solving a cubic equation by factorisation
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Quiz: The product of the roots of a cubic
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Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Final Revision: Checking that the roots found satisfy the original equation
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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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Spot My Mistake: Showing the solution of an inequality on a number line
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Show All Working: Solving a pair of simultaneous linear inequalities
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