Maths for Diploma Studies
This lesson is designed to provide the background knowledge in maths required to study CIBD Diplomas successfully. It will describe the basics of maths before detailing the more complex concepts encountered in CIBD lessons. Techniques for working with numbers, equations, and units will also be described.
Rearranging Equations – Dealing with Fractions Reinforcement Questions
1.
Isolate b in the following equation:
First, we move across the equals sign by multiplying both sides by
:
And then all we need to do is multiply both sides by :
2.
Rearrange this equation to isolate :
First, we can move over across by multiplying both sides by it:
We can’t move the numerator over, so we next have to move the back by multiplying both sides by its reciprocal
:
Now we can move across the equals sign by multiplying both sides by its reciprocal
:
And we can move back over by multiplying by both sides by it:
And finally, we can move across by dividing both sides by it:
3.
Isolate G in the following equation:
First, we can move the F by dividing both sides by it:
Now we can move by multiplying both sides by it:
And finally, move the b by dividing both sides by it:
4.
Isolate F in this equation:
Start by moving by multiplying both sides by its reciprocal
:
Now we can move by multiplying both sides by it:
Finally, we can move the across by multiplying both sides by its reciprocal
. Any number with 1 as the denominator has the same value as the numerator, so we multiply the right-hand side by 2:
5.
Rearrange the equation below to isolate C:
First, we can move across the equals sign by multiplying both sides by its reciprocal
:
Next, we move across by multiplying both sides by it:
Finally, we take the square root of both sides to isolate C:
We expand our view of equations by encompassing brackets, next.