582 prompts matching "Setting out Cramer's rule for three simultaneous equations"
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Worked Example: Testing the even numbers for closure under addition
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Quiz: Testing the odd numbers for closure under addition
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Practice: Testing a set for closure under multiplication
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Learn: What it means for an operation to be commutative
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Learn: What it means for one operation to distribute over another
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Common Mistakes: Distributivity on a set of three elements
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Worked Example: The law for multiplying powers of the same base
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Quiz: The law for dividing powers of the same base
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Practice: The law for a power raised to another power
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Spot My Mistake: The law for a quotient raised to a power
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Common Mistakes: Writing a root as a fractional index before simplifying
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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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Learn: The law for the logarithm of a product
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Worked Example: The law for the logarithm of a quotient
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Quiz: The law for the logarithm of a power
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Show All Working: Solving a simple logarithmic equation
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Learn: The change of base formula
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Common Mistakes: The Fibonacci sequence and the rule behind it
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