730 prompts matching "Structured question: classify a line-curve relationship"
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Show All Working: Deciding whether two given surds are equal without a calculator
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Worked Example: Adding two surds that simplify to the same root
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Show All Working: Simplifying a surd expression that contains brackets
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Worked Example: Rationalising a denominator that is a single surd
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Show All Working: Checking a rationalised answer by decimal approximation
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Worked Example: Why multiplying by the conjugate clears the surd
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Show All Working: A conjugate where the surd term comes first
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Worked Example: Squaring both sides safely when solving a surd equation
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
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Worked Example: Reading the symbol used for a binary operation
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Worked Example: Testing the even numbers for closure under addition
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Show All Working: Showing a set is not closed by a single counter-example
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Worked Example: Testing a*b against b*a for a given rule
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Show All Working: An operation that is associative but not commutative
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Worked Example: Testing whether star distributes over plus
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Show All Working: Using distributivity to simplify an expression
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Show All Working: An element with no inverse under a given operation
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Worked Example: The law for multiplying powers of the same base
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