462 prompts matching "Solve a 3x3 simultaneous equation system with Cramer's rule #3"
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Common mistakes with composite and inverse functions
Teach me the most common mistakes SS1 students make with composite and inverse functions,
Show All Working: Deciding whether two given surds are equal without a calculator
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on deciding whethe
Practice: Rationalising a denominator with a whole number multiplying the surd
Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising
Worked Example: Squaring both sides safely when solving a surd equation
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari
Explain Back: Solving an equation where the surd must be isolated first
I have just studied solving an equation where the surd must be isolated first in my SS1 Fu
Common Mistakes: A surd equation that has no real solution
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a s
Common Mistakes: Closure on a set of three elements under a stated rule
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on clo
Worked Example: Testing a*b against b*a for a given rule
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on testin
Practice: An operation that is not commutative, with a counter-example
Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t
Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on findin
Show All Working: An element with no inverse under a given operation
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on an element with
Show All Working: Simplifying an expression with letters and indices
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on simplifying an
Practice: A fractional index with numerator one, read as a root
Act as my SS1 Further Mathematics tutor. Give me five practice questions on a fractional i
Explain Back: A fractional index with a numerator above one
I have just studied a fractional index with a numerator above one in my SS1 Further Mathem
Worked Example: Solving an indicial equation where one side must be factorised first
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on solvin
Show All Working: A word problem that leads to an indicial equation
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on a word problem
Show All Working: Solving a simple logarithmic equation
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on solving a simpl
Explain Back: A logarithmic equation written in two different bases
I have just studied a logarithmic equation written in two different bases in my SS1 Furthe
Common Mistakes: A logarithmic equation that becomes a quadratic
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a l
Common Mistakes: The Fibonacci sequence and the rule behind it
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on the