755 prompts matching "determine whether the argument 'if p then q; p; therefore q' is valid using a tr"
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Cross-multiplying to solve an equation with fractions
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Common sign errors in algebraic manipulation
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Learn: Telling a rational number from an irrational one
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Learn: What makes two surds similar
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Worked Example: What makes two surds equal
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Practice: Collecting similar surds in an expression
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Practice: Multiplying a whole number by a surd
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Learn: Solving an equation with a single square root term
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Worked Example: Squaring both sides safely when solving a surd equation
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Practice: Solving an equation with a surd on each side
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Practice: A binary operation set out as a table
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Learn: What closure means for a binary operation
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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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Worked Example: Testing a*b against b*a for a given rule
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Practice: Why an identity element must work from both sides
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Worked Example: Rewriting a negative index as a fraction
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Practice: A fractional index with numerator one, read as a root
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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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