1,014 prompts matching "Quiz: Evaluating log to base 3 of 7 by change of base"
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Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
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
Show all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Structured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
Structured question: add and simplify two polynomials
I am in SS 2. Set me a structured Additional Maths question where I must add two given pol
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Common command word mistakes SS2 students make
Tell me the most common mistakes SS2 Further Maths students make when responding to comman
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Spot My Mistake: Completing the square when the roots are not real
Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the
Spot My Mistake: What the formula gives when the discriminant is nought
Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th
Practice: Forming an equation from a given sum and product
Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ
Explain Back: Writing the answers as ordered pairs
I have just studied writing the answers as ordered pairs in my SS2 Further Mathematics cla
Spot My Mistake: A pair with equal roots, meaning one solution only
Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani
Worked Example: The discriminant used as the test for intersection
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the di
Spot My Mistake: A polynomial written in descending powers
Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen
Worked Example: The division algorithm for polynomials
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the di
Practice: A division that leaves no remainder
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha
Explain Back: A division that leaves a constant remainder
I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat
Spot My Mistake: A division that leaves a linear remainder
Act as my SS2 Further Mathematics tutor. Work a question on a division that leaves a linea