705 prompts matching "a GP with first term 100 and common ratio 0.5, find the sum to infinity"
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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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Explain Back: Solving an equation where the surd must be isolated first
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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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Common Mistakes: A surd equation that has no real solution
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Worked Example: Reading the symbol used for a binary operation
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Explain Back: A binary operation defined on the integers
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Common Mistakes: Closure on a set of three elements under a stated rule
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Explain Back: What it means for an operation to be associative
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Common Mistakes: Subtraction as an example of neither law
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Common Mistakes: Distributivity on a set of three elements
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Common Mistakes: Why the index laws need the bases to match
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Explain Back: A fractional index with a numerator above one
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Common Mistakes: Writing a root as a fractional index before simplifying
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Worked Example: Solving an indicial equation where one side must be factorised first
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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Common Mistakes: An indicial equation solved by substitution
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Common Mistakes: Reading a logarithm from a table
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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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