1,236 prompts matching "IGCSE Additional Maths Y10: Changing a logarithm to a chosen base — Teach Me"
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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
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Worked Example: Testing whether a binary operation is closed on a given set
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Quiz: Testing a binary operation for commutativity
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Practice: Testing a binary operation for associativity
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Explain Back: Finding the identity element of a binary operation
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Final Revision: Deciding whether a set under an operation forms a group
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Learn: Simplifying a surd by extracting the largest perfect square
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Worked Example: Collecting like surds in a single sum
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Quiz: Multiplying two surds and simplifying the result
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Spot My Mistake: Squaring a bracket that contains a surd
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Final Revision: Proving that root 2 is irrational
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Learn: The sum and the product of the roots read from the coefficients
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Worked Example: The discriminant, and what each of its three cases means
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Quiz: Forming a quadratic equation whose roots are given
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Explain Back: The range of values of k for which the roots are real
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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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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