DB325: Maths for Diploma Studies: Rearranging Equations Reinforcement Questions | CIBD

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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 Reinforcement Questions

1.

Make x the subject of this equation:

$begin mathsize 14px style v space equals space fraction numerator x space cross times space b squared over denominator square root of c end fraction end style$

First, we can multiply both sides by $begin mathsize 14px style square root of c end style$ to move $begin mathsize 14px style square root of c end style$ across the equals sign:

$begin mathsize 14px style v space cross times space square root of c space equals space x space cross times space b squared end style$

And now divide both sides by $begin mathsize 14px style b squared end style$ to isolate x:

$begin mathsize 14px style x space equals space fraction numerator v space cross times space square root of c over denominator b squared end fraction end style$

2.

Make $begin mathsize 14px style a end style$ the subject of this equation:

$Error converting from MathML to accessible text.$

We can start by moving $Error converting from MathML to accessible text.$ across by multiplying both sides by $Error converting from MathML to accessible text.$ :

$Error converting from MathML to accessible text.$

Next, we can move $Error converting from MathML to accessible text.$ by subtracting it from both sides:

$Error converting from MathML to accessible text.$

And then move $Error converting from MathML to accessible text.$ by dividing both sides by $Error converting from MathML to accessible text.$ :

$Error converting from MathML to accessible text.$

Finally, we take a square root of both sides to isolate $begin mathsize 14px style a end style$ :

$Error converting from MathML to accessible text.$

3.

Isolate A in this equation:

$Error converting from MathML to accessible text.$

First, we need to move the cube root by cubing both sides of the equation:

$Error converting from MathML to accessible text.$

And next divide both sides by $Error converting from MathML to accessible text.$ to move that:

$Error converting from MathML to accessible text.$

Next, we multiply both sides by $Error converting from MathML to accessible text.$ to move that:

$Error converting from MathML to accessible text.$

And finally, divide both sides by k to isolate A:

$Error converting from MathML to accessible text.$

There were only three questions in this section because we will continue the equation theme for a while yet. Rest assured you’ll get plenty of practice.

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