735 prompts matching "Structured question: two quadratics sharing a common root"
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Solving simultaneous linear equations by elimination
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on solv
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
Explaining the difference between an expression and an equation
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on expl
Division law of indices
I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div
Power of a power rule
I am in SS 1. Quiz me with 3 short Additional Maths questions on the power-of-a-power rule
Negative indices in algebraic fractions
I am in SS 1. I attempted an Additional Maths question on simplifying an algebraic express
Fractional indices with numerator above 1
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Simplifying a mixed index expression
I am in SS 1. Quiz me with 3 short Additional Maths questions on simplifying an expression
Standard form calculations using indices
I am in SS 1. Teach me converting numbers to and from standard form and using the laws of
Simplifying bracketed algebraic index expressions
I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying an expression
Indices word problem: bacteria growth
I am in SS 1. Teach me a word problem where a quantity grows according to an index formula
Laws of indices with three different bases in one line
I am in SS 1. I attempted an Additional Maths question on simplifying an expression that c
Multiplying and dividing indices in one expression
I am in SS 1. Teach me simplifying (a^5 x a^-2) divided by a^3 fully, quoting which law is
Evaluating a negative fractional index
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Index laws with an unknown letter base
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Evaluating a fractional-negative index expression
I am in SS 1. Teach me evaluating 25^(-3/2) fully as a fraction without a calculator the w
Rewriting an expression with only positive indices
I am in SS 1. Teach me rewriting an expression such as 3x^-2 y^3 z^-1 so every index in it
Solving an equation with a fractional exponent on x
I am in SS 1. Quiz me with 3 short Additional Maths questions on solving x^(2/3) = 4 for x
Evaluating (1/2)^-3 without a calculator
I am in SS 1. I attempted an Additional Maths question on evaluating (1/2)^-3 fully withou
Index equation with equal exponents, unknown base
I am in SS 1. Teach me solving an equation of the form x^3 = 125 for an unknown base x the