Rearranging Formulas (Cambridge (CIE) IGCSE International Maths: Extended): Exam Questions

Rearrange  $2\left(4x-y\right)=5x-3$  to make $y$ the subject.

$y$ = ................................................... 

Make $t$ the subject of the formula $s=k-t^2.$  

$t=$................................................ 

Make $y$ the subject of the formula  $p=\sqrt{\frac{x+y}{5}}$

Make t the subject of the formula  $2\left(d-t\right)=4t+7$

Make m the subject of the formula  $v=\sqrt{\frac{2E}{m}}$

$y=\sqrt{u^{2}x}$

Rearrange the formula to write $x$ in terms of $u$ and $y$.

$x$ = ..............................................

Make $x$ the subject of the formula.

$x=\frac{3+x}{y}$

$x=$ .................................................

Make $p$ the subject of 

$y^2-2p^2=h$.

$p$ = ................................................... 

$s=ut+\frac{1}{2}a{t}^2$

Rearrange the formula to write $a$ in terms of $u$, $t$ and $s$.  

$a$ =  ................................................... 

Make $P$ the subject of the formula  $A=P+\frac{PRT}{100}$.  

$P$ = ...............................................

$m=\sqrt{\frac{k^3+1}{4}}$

Make k  the subject of the formula.

The equation  $\frac{x^2}{2}+\frac{1}{x^2}-\frac{2}{x}=3x+1$  can be written as  $x^4+a{x}^3+b{x}^2+cx+2=0$.

Find the values of $a$, $b$ and $c$.

$a$ = ...................................................  

$b$ = ................................................... 

$c$ = ................................................... 

The equation  $\frac{x^3}{3}-\frac{1}{2x^2}+4=0$  can be written in the form $a{x}^n+b{x}^{n-3}-3=0$.
Find the value of $a$, the value of $b$ and the value of $n$.

$a=$............................................... 

    $b=$............................................... 

    $n=$...............................................

Rearrange the formula to make $x$ the subject.

$k=\frac{2m-x}{x}$

Make y the subject of the formula

$t=\frac{2-3y}{y+2}$

Make m the subject of

$\frac{m}{v}-\frac{t}{b}=\frac{m-t}{R}$