800 prompts matching "Quiz: Checking a surd equation for extraneous roots"
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Spot my mistake solving a moments problem
I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp
Teach me Cramer's rule from first principles
I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de
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
Mapping diagrams and function types
I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi
The vertical line test
I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid
Composite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Composite functions gf(x)
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Showing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
Finding the making x the subject of a fractional function
You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu
Finding f(x) given a description of the function rule
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Explaining function notation to a classmate
I am in SS 3. I'm going to explain explaining function notation and what f(x) really means
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
Comparing two functions to see which grows faster
I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of
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
WAEC exam question: remainder theorem with two conditions
I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno
Structured question: perpendicular bisector of a line segment
I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr
Structured question: intersection of a line and a circle
I am in SS 3. Give me a structured question where I substitute a line's equation into a ci
Show that command word: trigonometric identity
I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear
Structured question: find the nth term and a specific term of an AP
I am in SS 3. Give me a structured arithmetic progression question where I first find the
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