755 prompts matching "Structured question: circle and line with an unknown intercept"
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Worked Example: Testing the even numbers for closure under addition
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Practice: Testing a set for closure under multiplication
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Common Mistakes: Closure on a set of three elements under a stated rule
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Worked Example: Testing a*b against b*a for a given rule
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Worked Example: Testing whether star distributes over plus
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Common Mistakes: Distributivity on a set of three elements
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Worked Example: The law for multiplying powers of the same base
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Common Mistakes: Why the index laws need the bases to match
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Worked Example: Rewriting a negative index as a fraction
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Common Mistakes: Writing a root as a fractional index before simplifying
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Practice: Solving 2 to the power x equals 32
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Practice: Evaluating log to base 2 of 8
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Common Mistakes: Reading a logarithm from a table
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Worked Example: The law for the logarithm of a quotient
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Practice: Combining two logarithms into one
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Worked Example: Writing out the terms of a sequence from its nth term
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