755 prompts matching "Practice: Solving an inequality with the unknown in the denominator"
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Show All Working: A conjugate where the surd term comes first
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Common Mistakes: Rationalising when both terms of the denominator are surds
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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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Worked Example: Testing the even numbers for closure under addition
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Explain Back: What it means for an operation to be associative
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Show All Working: An operation that is associative but not commutative
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Common Mistakes: Subtraction as an example of neither law
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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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Explain Back: What an inverse element is
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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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Explain Back: A fractional index with a numerator above one
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Show All Working: A word problem that leads to an indicial equation
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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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Show All Working: The common logarithm, to base ten
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Worked Example: Converting a logarithm to base ten so that tables can be used
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