401 prompts matching "Checking a Cramer's rule solution by substituting back"
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Real-life application of predicate logic
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where predic
Real-life application of biconditional statements
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where bicond
Real-life application of the condition for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Word problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Structured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Show All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Show All Working: Completing the square with a fractional coefficient of x
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on completing the
Final Revision: Why completing the square always works
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w
Show All Working: Choosing between factorising and the formula
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee
Final Revision: A word problem solved with the quadratic formula
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Show All Working: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in
Final Revision: One root twice the other, and what that gives
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Show All Working: Forming an equation whose roots are three alpha and three beta
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa
Final Revision: Using a symmetric function to find an unknown coefficient
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Show All Working: A simultaneous pair in which the second equation is a circle
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous
Show All Working: The point of contact when a line touches a curve
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the point of co