755 prompts matching "Teach me Cramer's rule from first principles"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Learn: The definition of a logarithm as the index
You are my personal SS1 Further Mathematics tutor. Teach me the definition of a logarithm
Practice: Evaluating log to base 2 of 8
Act as my SS1 Further Mathematics tutor. Give me five practice questions on evaluating log
Learn: The law for the logarithm of a product
You are my personal SS1 Further Mathematics tutor. Teach me the law for the logarithm of a
Practice: Combining two logarithms into one
Act as my SS1 Further Mathematics tutor. Give me five practice questions on combining two
Learn: The change of base formula
You are my personal SS1 Further Mathematics tutor. Teach me the change of base formula fro
Practice: The relation between log a of b and log b of a
Act as my SS1 Further Mathematics tutor. Give me five practice questions on the relation b
Practice: Finding the nth term of a quadratic sequence
Act as my SS1 Further Mathematics tutor. Give me five practice questions on finding the nt
Practice: Reversing the sign when multiplying by a negative number
Act as my SS1 Further Mathematics tutor. Give me five practice questions on reversing the
Learn: Factorising a quadratic before solving the inequality
You are my personal SS1 Further Mathematics tutor. Teach me factorising a quadratic before
Practice: Using a table of signs to solve a quadratic inequality
Act as my SS1 Further Mathematics tutor. Give me five practice questions on using a table
Practice: Solving modulus of x greater than a
Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving modulu
Division law of indices
I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div
Fractional indices as roots
I am in SS 1. Teach me fractional indices, converting between root form and index form, su
Solving index equations with matching bases
I am in SS 1. I'm going to explain solving an index equation by rewriting both sides with
Indices word problem: bacteria growth
I am in SS 1. Teach me a word problem where a quantity grows according to an index formula
Simplifying a fraction of two bracketed index terms
I am in SS 1. I'm going to explain simplifying a fraction of index expressions down to a s
Multiplying and dividing indices in one expression
I am in SS 1. Teach me simplifying (a^5 x a^-2) divided by a^3 fully, quoting which law is
Solving 4^x = 8^(x-1) by matching bases
I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side
Evaluating a fractional-negative index expression
I am in SS 1. Teach me evaluating 25^(-3/2) fully as a fraction without a calculator the w
Rewriting an expression with only positive indices
I am in SS 1. Teach me rewriting an expression such as 3x^-2 y^3 z^-1 so every index in it