287 prompts matching "Simplifying before substituting a value"
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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
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Quiz: Testing a binary operation for commutativity
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Final Revision: Deciding whether a set under an operation forms a group
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Final Revision: Proving that root 2 is irrational
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Learn: The multiplication and division laws of indices used together
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Quiz: Solving an index equation by writing both sides to the same base
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Final Revision: Sketching the graph of a logarithmic function
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Learn: The sum and the product of the roots read from the coefficients
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Quiz: Forming a quadratic equation whose roots are given
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Final Revision: Solving a disguised quadratic by substitution
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Learn: Finding alpha squared plus beta squared from the sum and product
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Quiz: Finding alpha cubed plus beta cubed
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Learn: The degree of a polynomial and its leading coefficient
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Quiz: The factor theorem, and testing whether x minus a is a factor
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Learn: The sum of the roots of a cubic read from its coefficients
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Quiz: The product of the roots of a cubic
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Final Revision: Checking that the roots found satisfy the original equation
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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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