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ALGEBRAIC FORMULAE 2

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

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

a)

 n=3(T4m)2n=3\left(T-4m\right)^2  

b)

 n=9(T4m)2n=9\left(T-4m\right)^2  

c)

 n=3T24m2n=\frac{3}{T^2-4m^2}  

d)

 n=3(T4m)2n=\frac{3}{\left(T-4m\right)^2}  

2.

Given  m2np=n4\frac{m-2n}{p}=n-4  , express n in terms of m and p.

a)

 m4pp2\frac{m-4p}{p-2}  

b)

 m4pp+2\frac{m-4p}{p+2}  

c)

 m+4pp2\frac{m+4p}{p-2}  

d)

 m+4pp+2\frac{m+4p}{p+2}  

3.

Given that m = –3q + p , express q in terms of m and p.
Diberi m = –3q + p, ungkapkan q dalam sebutan m dan p.

a)

 q = p + m3q\ =\ \frac{p\ +\ m}{3}  

b)

 q = m  p3q\ =\ \frac{m\ -\ p}{3}  

c)

 q = p  m3q\ =\ \frac{p\ -\ m}{3}  

d)

 q = p  m3q\ =\ -\frac{p\ -\ m}{3}  

4.

Given 3a = 9b - 4c.

Calculate the value of a when b = 1 and c = 2.

a)

1/3

b)

1/2

c)

1/4

d)

1/5

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=2x20y=2x-20

b)

y=202xy=20-2x

c)

y=2x20y=2x-20

d)

y=10+2xy=10+2x

6.

The area of the trapezium below is 36 cm2. If x + y = 11 cm, calculate the value of x and y.

Luas trapezium di bawah ialah 36 cm2. Jika x + y = 11 cm, hitung nilai x dan y.

a)

x = 5, y = 4

b)

x = 5, y = 7

c)

x = 4, y = 7

d)

x = 4, y = 5

7.
A rectangle is r cm long, s cm wide and has an area of P cm2. Express P in terms of r and s.
a)
P = rs
b)
P = r ∕ s
c)
P = 2rs
d)
P = (rs)2
8.

The formula d=16t2 represents the distance d, an object falls in t seconds, where d is in feet. Find the distance an object that drops in 3 seconds.

a)

144

b)

96

c)

166

d)

128

9.

Given h= k34+6,\frac{k^3}{4}+6,  express k in terms of h

a)

 k=4h243k=\frac{4h-24}{3}  

b)

 k=4h63k=\frac{4h-6}{3}  

c)

 k=34h24k=^3\sqrt{4h-24}  

d)

 k=34h6k=^{3\sqrt{4h-6}}  

10.

Given  p23r2=4\frac{p^2-3r}{2}=4  , express p in terms of r

a)

8+6r

b)

8+3r

c)

 8+3r\sqrt{8+3r}  

d)

 8+6r\sqrt{8+6r}  

11.

Given  mn2=53mmn^2=5-3m  , express m in terms of n.

a)

 m=5n23m=\frac{5}{n^2-3}  

b)

 m=5n2+3m=\frac{5}{n^2+3}  

c)

 m=5(n3)2m=\frac{5}{\left(n-3\right)^2}  

d)

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

12.

Given  2m=nn52m=\frac{n}{n-5}  , express n in terms of m.

a)

 n=2m+110n=\frac{2m+1}{10}  

b)

 n=2m110mn=\frac{2m-1}{10m}  

c)

 n=10m2m+1n=\frac{10m}{2m+1}  

d)

 n=10m2m1n=\frac{10m}{2m-1}  

13.

Ungkapkan x dalam sebutan y dan w.

Express x in terms of y and w.

a)
b)
c)
d)
14.

Ungkapkan x dalam sebutan y.

Express x in terms of y.

a)
b)
c)
d)
15.

Given  6e2f3=ef+f\frac{6e-2f}{3}=ef+f , express e in terms of f.

a)

 e=3f5f6e=\frac{3f}{5f-6}  

b)

 e=3f63fe=\frac{3f}{6-3f}  

c)

 e=5f3f6e=\frac{5f}{3f-6}  

d)

 e=5f63fe=\frac{5f}{6-3f}  

16.

If  m=nn1m=\frac{n}{n-1}  , then n=

a)

 mm1\frac{m}{m-1}  

b)

 m+1m\frac{m+1}{m}  

c)

 1m1\frac{1}{m-1}  

d)

 mm+1\frac{m}{m+1}  

17.
A rectangle is r cm long, s cm wide and has an area of P cm2. Express P in terms of r and s.
a)
P = rs
b)
P = r ∕ s
c)
P = 2rs
d)
P = (rs)2
18.
An equation which combines variables with an equal sign is a 
a)
value
b)
formulae
c)
statement 
d)
operations
19.
An equation which combines variables with an equal sign is a 
a)
value
b)
formulae
c)
statement 
d)
operations
20.
In which of the following, is E the subject of the formula?
a)
E = L ⁄ 5E
b)
2E = bh
c)
E = mc2
d)
E2 = u2 + 2as