720 prompts matching "Find sum and product of roots of 3x^2 + 7x - 6 = 0"
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Multi-part algebraic manipulation exam question
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Common sign errors in algebraic manipulation
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Learn: Telling a rational number from an irrational one
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Final Revision: Approximating a surd to three decimal places
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Learn: What makes two surds similar
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Show All Working: Deciding whether two given surds are equal without a calculator
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Final Revision: Surds that cannot be combined at all
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Show All Working: Simplifying a surd expression that contains brackets
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Learn: Why a surd is never left in the denominator
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Show All Working: Checking a rationalised answer by decimal approximation
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Show All Working: A conjugate where the surd term comes first
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Final Revision: Checking a conjugate answer by multiplying back
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Common Mistakes: A surd equation that has no real solution
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Final Revision: A word problem that leads to an equation in surd form
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Learn: What a binary operation actually is
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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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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Learn: What closure means for a binary operation
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