742 prompts matching "Structured question: quadratic with roots that differ by a given amount"
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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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Explain Back: Testing the integers for closure under division
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Worked Example: Testing a*b against b*a for a given rule
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Explain Back: What it means for an operation to be associative
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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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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Practice: Why an identity element must work from both sides
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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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Practice: The law for a power raised to another power
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Explain Back: The law for a product raised to a power
I have just studied the law for a product raised to a power in my SS1 Further Mathematics
Worked Example: Rewriting a negative index as a fraction
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Worked Example: Solving an indicial equation where one side must be factorised first
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Practice: Solving 2 to the power x equals 32
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Worked Example: Writing an index statement as a logarithm
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Practice: Evaluating log to base 2 of 8
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Explain Back: The logarithm of one, in any base
I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.
Worked Example: The law for the logarithm of a quotient
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