Free Printable ALGEBRAIC FORMULAE

1.

Given

\frac{2}{\sqrt{n}-5}=3

, express n in terms of p.

a)

$n=\left(2p+15\right)^2$

b)

$n=4p^2+225$

c)

$n=\left(\frac{2p}{3}+5\right)^2$

d)

$n=\left(\frac{2p}{3}\right)^2+5$

2.

Given that

\frac{4m^2+3p}{3}=2\left(5-2p\right)

, express p in terms of m.

a)

$p=\frac{2+m^2}{15}$

b)

$p=\frac{15-2m^2}{15}$

c)

$p=\frac{30+4m^2}{15}$

d)

$p=\frac{30-4m^2}{15}$

3.

Given

5p=\frac{m\left(p-3\right)}{m-2}

, express m in terms of p.

a)

$m=\frac{10p}{4p+3}$

b)

$m=\frac{10p}{4p-3}$

c)

$m=\frac{10p}{6p+3}$

d)

$m=\frac{10p}{6p-3}$

4.

Given that

\frac{p-5r^2}{3}=4\left(3p-2\right)

, express r in terms of p.

a)

$r=\sqrt{\frac{24-35p}{5}}$

b)

$r=\sqrt{\frac{35p-24}{5}}$

c)

$r=\frac{24-35p}{5}$

d)

$r=\frac{35p-24}{5}$

5.

The price of a pen is RM x and the price of a shirt is RM y. The total price of items that Amal needs to pay is RM 260. write the equation for the price of the shirts in terms of the price of the pens.

a)

$y=2x-20$

b)

$y=20-2x$

c)

$y=2x-20$

d)

$y=10+2x$

6.

Given that

q=2\left(h+k\right)

, express k in terms of h and q.

a)

$k=\frac{2h-q}{2}$

b)

$k=\frac{q-2h}{2}$

c)

$k=2\left(q-2h\right)$

d)

$k=2\left(2h-q\right)$

7.

Given

m=\frac{3-k}{2k}

, express k in terms of m.

a)

$k=\frac{3}{2m+1}$

b)

$k=\frac{3}{2m-1}$

c)

$k=\frac{2m-1}{3}$

d)

$k=\frac{2m}{3-m}$

8.

Given

2y=\frac{2\left(x+3\right)}{3x}

, express x in terms of y

a)

$x=\frac{3}{3y-1}$

b)

$x=\frac{3}{3y+1}$

c)

$x=\frac{6}{3y-1}$

d)

$x=\frac{6}{3y+1}$

9.

Given that

5=\frac{1}{2}\sqrt{\frac{5+2x}{y}}

, express x in terms of y.

a)

$50y+\frac{5}{4}$

b)

$50y+\frac{5}{2}$

c)

$50y-\frac{5}{4}$

d)

$50y-\frac{5}{2}$

10.

Given

2m^2-1=2\left(p-m^2\right)

, express m in terms of p.

a)

$m=\frac{\sqrt{1-2p}}{4}$

b)

$m=\frac{\sqrt{2p+1}}{4}$

c)

$m=\frac{\sqrt{1-2p}}{2}$

d)

$m=\frac{\sqrt{2p+1}}{2}$

11.

Given that

\frac{5w-\sqrt{t}}{6}=3

a)

$\left(5w-18\right)^2$

b)

$25w+18$

c)

$25w^2-24$

d)

$\left(\frac{5}{6}w\right)^2+3$

12.

Given

\sqrt{pw}=\frac{5}{\sqrt{w-1}}

, express p in terms of w

a)

$\frac{5}{w\left(w-1\right)}$

b)

$\frac{5}{w\left(w-1\right)^2}$

c)

$\frac{25}{w\left(w-1\right)}$

d)

$\frac{25}{w\left(w-1\right)^2}$

13.

Given

m=5\left(\sqrt{\frac{1}{x+y}}\right)

, express x in terms of m and y.

a)

$x=\frac{25}{m^2}-y$

b)

$x=\frac{25}{m^2}-m^2y$

c)

$x=\frac{10}{m^2}-y$

d)

$x=\frac{5}{m^2}-y$

14.

Given

t - (m + 2) = 3m, express m in terms of t.

a)

$m=\frac{t+2}{4}$

b)

$m=\frac{t-2}{4}$

c)

$m=\frac{t+2}{2}$

d)

$m=\frac{t-2}{2}$

15.

Given that

9r+2k^2=18r

, express k in terms of r.

a)

$3\sqrt{\frac{r}{2}}$

b)

$^3\sqrt{\frac{r}{2}}$

c)

$9\sqrt{\frac{r}{2}}$

d)

$\frac{9\sqrt{r}}{2}$

16.

Given $T=\sqrt{\frac{3}{n}}+4m,$ express n in term of T and m.

a)

$n=3\left(T-4m\right)^2$

b)

$n=9\left(T-4m\right)^2$

c)

$n=\frac{3}{T^2-4m^2}$

d)

$n=\frac{3}{\left(T-4m\right)^2}$

17.

Ungkapkan s dalam sebutan u dan r.

Express s in terms of u and r.

a)

b)

c)

d)

18.

Ungkapkan x dalam sebutan y dan w.

Express x in terms of y and w.

a)

b)

c)

d)

19.

Ungkapkan r dalam sebutan g, F dan π.

Express r in terms of g, F and π.

a)

b)

c)

d)

20.

Which of the following is true?

a)

(a-b)² = a² - b²

b)

(a + b)² = a² + 2ab + b²

c)

(a - b)²= a² - 2ab - b²

d)

(a + b) (a - b) = a² - 2ab + b²

ALGEBRAIC FORMULAE

Total questions: 20

Worksheet time: 3600secs

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