643 prompts matching "Proving that a quadratic expression is positive for every real x"
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Practice: Collecting similar surds in an expression
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Common Mistakes: Expanding the product of two surd brackets
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Practice: Rationalising a denominator with a whole number multiplying the surd
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Spot My Mistake: Rationalising and then cancelling a common factor
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WAEC Prep: Expressing the answer in the form a plus b root c
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Worked Example: Reading the symbol used for a binary operation
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Worked Example: Testing the even numbers for closure under addition
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Common Mistakes: Closure on a set of three elements under a stated rule
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Worked Example: Testing a*b against b*a for a given rule
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Common Mistakes: Subtraction as an example of neither law
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Quiz: Left distributivity and right distributivity
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Spot My Mistake: Checking distributivity from two operation tables
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Common Mistakes: Distributivity on a set of three elements
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Common Mistakes: Checking an inverse by working the operation both ways
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Worked Example: The law for multiplying powers of the same base
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WAEC Prep: Applying two index laws inside one expression
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