744 prompts matching "Structured question: cubic equation from three given roots"
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Quiz: Solving modulus of x less than a
Act as my SS1 Further Mathematics tutor and quiz me on solving modulus of x less than a. A
Practice: Solving modulus of x greater than a
Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving modulu
Final Revision: Writing the inequalities that describe a shaded region
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of w
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
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
Comparing the size of two large index numbers
I am in SS 1. Quiz me with 5 short Additional Maths questions on comparing the size of two
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
Solving 4^x = 8^(x-1) by matching bases
I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side
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
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
Simplifying indices before adding like terms
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Adding and subtracting like surds
I am in SS 1. I'm going to explain adding and subtracting surds that share the same irrati