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Worksheets

Algebraic Formulae

Total questions: 10

Worksheet time: 11mins

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 4p = 18 - 5q.

Calculate the value of q when p = 2.

a)

1

b)

2

c)

3

d)

4

5.

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

6.

Given a2 = 8b - 5c.

Calculate a when b = 3 and c = 3.

a)

1

b)

2

c)

3

d)

4

7.

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

8.

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

9.
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
10.

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