1,007 prompts matching "Why brackets matter when an operation is not associative"
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Give me practice on sum and product of roots
Act as my SS2 Further Maths tutor. Give me eight practice questions on finding the sum and
Teach me solving a linear and a quadratic equation by substitution
You are my SS2 Further Mathematics tutor. Teach me solving a linear and a quadratic equati
Give me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
Quiz me on line and curve intersection conditions
Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and
Give me practice on tangent lines to curves
Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio
Find the value of k for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's
Give me practice adding and subtracting polynomials
Act as my SS2 Further Maths tutor. Give me eight practice questions on adding and subtract
Spot my mistake adding polynomials
Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch
Quiz me on polynomial division by a quadratic divisor
Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di
Give me practice on polynomial long division
Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials
Spot my mistake in polynomial long division
Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long
Explain polynomial long division back to me
Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back
Worked example: using the factor theorem to factorise a cubic
Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor
Spot my mistake solving a cubic equation
Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t
Spot my mistake identifying a compound statement symbol
Act as my SS2 Further Maths tutor. I identified the symbol used in a compound statement bu
Teach me the truth table for disjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti
Teach me the truth table of p if and only if q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p if and only if q,
Quiz me on the inclusive sense of 'or' in a disjunction
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Spot my mistake in a truth table
Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu
Worked example: converse and inverse of a statement
Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a