706 prompts matching "A tautology used to justify a rule of algebra"
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Learn: What an identity element is
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Common Mistakes: Checking an inverse by working the operation both ways
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Learn: Reading index notation, the base and the exponent
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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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Common Mistakes: An indicial equation solved by substitution
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Worked Example: Writing an index statement as a logarithm
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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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Learn: What a sequence is, and what a term means
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Learn: What makes a sequence an arithmetic progression
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Common Mistakes: An arithmetic progression with a negative common difference
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Worked Example: The alternative sum formula that uses the last term
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Common Mistakes: Proving the sum formula by pairing the terms
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Learn: What makes a sequence a geometric progression
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Common Mistakes: Inserting a geometric mean between two numbers
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Learn: The four inequality symbols, and what each one means
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Worked Example: Adding or subtracting the same number on both sides
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Common Mistakes: A double inequality such as 2 less than x less than 7
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