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Algebra
Unit A5: Changing The Subject
There
are many scientific and technology disciplines in which it
is extremely important to be able to rearrange equations and
calculate values. For example, let's calculate the acceleration
of a particle given the initial speed u, final speed
v, and time duration t.
In
this case we need to rearrange the equation v = u + a t
into the equation 
Unit
A5.1: Multiplication and Division Only
Unit A5.2: Addition and Subtraction
Only
Unit A5.3: All Four Operations
Unit A5.4: Removal of brackets
Unit A5.5: Subject in more
than one term
Unit A5.6: Fractions and surds
Unit A5.7: Roots
Unit A5.8: Substituting one
formula into another
Unit
A5 Test
Learning
Objectives
In
this section the student will be able to
- Transpose
the subject of a formula where the subject appears once,
working with the four arithmetical rules of multiplication,
division, addition and subtraction.
- Transpose
the subject of a formula where the subject appears more
than once.
- Transpose
the subject where powers, roots and/or factorisation is
necessary.
- Use
direct substitution from one formula into another, forming
the subject.
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