732 prompts matching "Finding an unknown coefficient given that a stated factor divides the polynomial"
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Simplifying an expression with brackets and indices together
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on simp
Substituting values into an algebraic expression
I am in SS 1. Teach me substituting given numerical values into an algebraic expression co
Solving a word problem using simultaneous equations
I am in SS 1. I'm going to explain a word problem that must be solved by setting up and so
Simplifying expressions with like and unlike terms
I am in SS 1. Teach me correctly identifying and collecting like terms in a longer algebra
Algebraic long division of a simple polynomial by a linear factor
I am in SS 1. Quiz me with 4 short Additional Maths questions on dividing a simple cubic e
Common Mistakes: Why a rational number added to an irrational one stays irrational
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Worked Example: Adding two surds that simplify to the same root
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Show All Working: Simplifying a surd expression that contains brackets
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Common Mistakes: Expanding the product of two surd brackets
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Worked Example: Rationalising a denominator that is a single surd
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Show All Working: Checking a rationalised answer by decimal approximation
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Spot My Mistake: Solving a surd equation that leads to a quadratic
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Common Mistakes: A surd equation that has no real solution
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Quiz: Evaluating a*b from a given rule
Act as my SS1 Further Mathematics tutor and quiz me on evaluating a*b from a given rule. A
Common Mistakes: A binary operation that is ordinary addition in disguise
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Final Revision: Deciding whether a given rule really is a binary operation
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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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Show All Working: Using distributivity to simplify an expression
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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