755 prompts matching "A word problem solved with the quadratic formula"
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Common Mistakes: Rationalising a denominator of the form root a over root b
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Worked Example: Why multiplying by the conjugate clears the surd
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Practice: Rationalising a denominator of the form a plus root b over c minus root d
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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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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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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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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Common Mistakes: Checking an inverse by working the operation both ways
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Worked Example: The law for multiplying powers of the same base
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Practice: The law for a power raised to another power
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Common Mistakes: Why the index laws need the bases to match
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Show All Working: Simplifying an expression that mixes the index types
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Practice: Solving 2 to the power x equals 32
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Show All Working: The common logarithm, to base ten
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Worked Example: The law for the logarithm of a quotient
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Practice: The relation between log a of b and log b of a
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Worked Example: Writing out the terms of a sequence from its nth term
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