**7.2.1 Algebraic Formulae, PT3 Practice**

**Question 1:**

Given

*m*^{2}+ 7 =*k*, express*m*in terms of*k*.

Solution:Solution:

**Question 2:**

Given 5

*km*=*mn –*2*k*, express*k*in terms of*m*and*n*.

Solution:Solution:

**Question 3:**

Given
$2k-\frac{m}{2n}=m$
, express

*m*in terms of*k*and*n*.

Solution:Solution:

$\begin{array}{l}2k-\frac{m}{2n}=m\\ -m-\frac{m}{2n}=-2k\\ \text{}m+\frac{m}{2n}=2k\\ \frac{2nm+m}{2n}=2k\\ \frac{m\left(2n+1\right)}{2n}=2k\\ \text{}m=\frac{4kn}{2n+1}\end{array}$

**Question 4:**

Given
$\frac{4m}{\sqrt{T}-k}=\frac{3h}{m}$
, express

*T*in terms of*h*and*m*.

Solution:Solution:

**Question 5:**

Given
$\sqrt{\frac{8s-3h}{4}}=2$
, express

*s*in terms of*h*.

Solution:Solution: