755 prompts matching "An answer left in surd form after completing the square"
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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
Common Mistakes: Writing a root as a fractional index before simplifying
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on wri
Practice: Solving 2 to the power x equals 32
Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving 2 to t
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
Common Mistakes: Reading a logarithm from a table
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Practice: Combining two logarithms into one
Act as my SS1 Further Mathematics tutor. Give me five practice questions on combining two
Explain Back: Splitting a single logarithm into several
I have just studied splitting a single logarithm into several in my SS1 Further Mathematic
Common Mistakes: Rejecting a root that makes a logarithm undefined
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on rej
Final Revision: Proving a logarithmic identity from the laws
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of p
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
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
Learn: What a sequence is, and what a term means
You are my personal SS1 Further Mathematics tutor. Teach me what a sequence is, and what a
Worked Example: Writing out the terms of a sequence from its nth term
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on writin
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
Explain Back: Spotting the pattern in a sequence of squares or cubes
I have just studied spotting the pattern in a sequence of squares or cubes in my SS1 Furth
Learn: What makes a sequence an arithmetic progression
You are my personal SS1 Further Mathematics tutor. Teach me what makes a sequence an arith
Practice: Finding the twentieth term of a given arithmetic progression
Act as my SS1 Further Mathematics tutor. Give me five practice questions on finding the tw
Explain Back: Finding the first term from two given terms
I have just studied finding the first term from two given terms in my SS1 Further Mathemat
Common Mistakes: An arithmetic progression with a negative common difference
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on an