755 prompts matching "Testing whether a binary operation is closed on a given set"
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Adding two algebraic fractions with different denominators
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Multiplying two algebraic fractions
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Dividing algebraic fractions
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Solving a linear inequality and showing the solution
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Solving simultaneous linear equations by elimination
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Simplifying an expression with brackets and indices together
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Forming an algebraic expression from a word problem
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Cross-multiplying to solve an equation with fractions
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Explaining the difference between an expression and an equation
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Common sign errors in algebraic manipulation
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Practice: Collecting similar surds in an expression
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Quiz: Subtracting one surd from another
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Worked Example: Why multiplying by the conjugate clears the surd
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Worked Example: Squaring both sides safely when solving a surd equation
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Quiz: Checking a surd equation for extraneous roots
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Practice: Solving an equation with a surd on each side
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Worked Example: Rewriting a negative index as a fraction
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Quiz: A negative index on a fraction, and turning it upside down
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Practice: A fractional index with numerator one, read as a root
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Quiz: An indicial equation that becomes a quadratic in a power
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