674 prompts matching "Cramer's rule applied to a pair with fractional coefficients"
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Working backwards from Venn diagram totals
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Logical reasoning with 'and' versus 'or' in sets
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Common mistakes with set notation
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Set problem leading to a linear equation
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Applying the sum to infinity formula when the ratio lies between minus one and one
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Multi-part progression problem with an unknown first term
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Finding the equation of a line parallel to the x-axis or y-axis through a point
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Distance from a point to the centre of a circle
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Equation of a line with a given y-intercept and passing through a point
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Coordinate geometry combined with simultaneous equations
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Factorising by taking out a common factor
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Factorising the sum and difference of two cubes
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Changing the subject with a square or square root
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Quiz me rapid-fire on expanding and factorising
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Worked Example: Adding two surds that simplify to the same root
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Worked Example: Rationalising a denominator that is a single surd
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Explain Back: Simplifying the answer once the denominator is rational
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Common Mistakes: Rationalising a denominator of the form root a over root b
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Practice: Rationalising a denominator of the form a plus root b over c minus root d
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