Manipulation (Transposition) of Algebraic Expressions
In most of the sciences, you will come across expressions which need to be rearranged so that you can work out the value of a missing item which may not have already been the subject of the equation. For example in physics you may be given the kinetic energy of a body, and its velocity but then you will be asked to calculate its mass. The general equation for kinetic energy does not routinely come in terms of mass, so you will need to use a little bit of mathematical dexterity to get it that way.
Transposing algebraic expressions is not always easy, but it is a skill that needs to be mastered.
A series of questions will now follow, you are asked to rearrange the questions in terms of the variable given:
This means rearrange the expression so that 'x' is the subject.
Q1.
Q2.
Q3.
Q4.
Q5.
Q6.
Q7.
Q8.
Note - the next questions are taken from an entry test for a university level mathematics course. You would be expected to have a sound knowledge of mathematics to A level to get onto this course, see if you can follow them (if you can't actually do them!).
Q9.
Q10.
Q11.
Q12.
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