1,299 prompts matching "Rewriting an expression with only positive indices"
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Worked example: solving simultaneous equations with matrices
I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve
Evaluating a function at an algebraic input
I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at
Structured word problem: fencing a rectangular garden
I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria
Range of a simple function from its graph or values
I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si
Graphs of a function and its inverse as reflections
I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec
One-to-one versus many-to-one functions
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on the
Restricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Show all working: full function exam question with three parts
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a fu
Function machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Show that command word: using the remainder to find an unknown coefficient
You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown
Show that command word: surd simplification
I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp
Show that command word: logarithm laws
I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit
Structured question: solve a trig equation for all solutions in range
I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an
Show that command word: sum of an arithmetic progression
I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n
Structured question: the constant term in a binomial expansion
You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi
Show that command word: binomial coefficient identity
I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi
Structured question: use binomial expansion to approximate a value
I am in SS 3. Give me a structured question where I expand a binomial expression and then
Find the range of values command word: increasing function
I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the
Determine command word: validity of an argument
I am in SS 3. Give me an exam question phrased 'determine whether the following argument i
Find the number of ways command word: combinations
I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin