Rearranging Formulas (Cambridge International IGCSE Mathematics): Exam Questions

Make $x$ the subject of this formula.

$2y=5x-7$

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

Rearrange the formula $5w--3y+7=0$ to make $w$ the subject.

$w$ = ..............................................

Rearrange $2(w+h)=P$ to make $w$ the subject.

$w$= ....................................................

Make $p$ the subject of

$5p+7=m$.

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

Rearrange $2 ( 4 x - y ) = 5 x - 3$ 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 $2 ( d - t ) = 4 t + 7$

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

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

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

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

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.

$a=\sqrt{p^{3}b}$

Find the value of $a$ when $p=4$ and $b=9$.

Extract:

Rearrange the formula to write $p$ in terms of $a$ and $b$.

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

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 $ax^{n}+bx^{n-3}-3=0$. 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

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