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PRE TEST DBM10013

Total questions: 10

Worksheet time: 27mins

Name
Class
Date
1.

1.     Express the equation as a single fraction in its simplest form.

 15m52v15mv\frac{1}{5m}-\frac{5-2v}{15mv}  

a)

 v13mv\frac{v-1}{3mv}  

b)

 v+13mv\frac{v+1}{3mv}  

c)

 v515mv\frac{v-5}{15mv}  

d)

 v+515mv\frac{v+5}{15mv}  

2.

Factorise and simplify 

 4e12ef2e\frac{4e-12ef}{2e}  

a)

 2(13f)2\left(1-3f\right)  

b)

 2(13ef)2\left(1-3ef\right)  

c)

 e12efe\frac{e-12ef}{e}  

d)

 2e6ef2e\frac{2e-6ef}{2e}  

3.

Construct partial fraction for 

 2xx2x6\frac{2x}{x^2-x-6}  

a)

 Ax+2+Bx3\frac{A}{x+2}+\frac{B}{x-3}  

b)

 Ax2+Bx3\frac{A}{x-2}+\frac{B}{x-3}  

c)

 Ax2+Bx+3\frac{A}{x-2}+\frac{B}{x+3}  

d)

 Ax+2Bx3\frac{A}{x+2}-\frac{B}{x-3}  

4.

Simplify 

 (6i)3\left(6i\right)^3  

a)

 216i-216i  

b)

 216i216i  

c)

 216i2-216i^2  

d)

 126-126  

5.

Simplify

 4i(28i)4i\left(-2-8i\right)  

a)

 832i8-32i  

b)

 8i32-8i-32  

c)

 32+8i-32+8i  

d)

 328i32-8i  

6.

Given

 z=3+4iz=-3+4i  . Find  z\left|z\right|  

a)

 55  

b)

 5-5  

c)

 7\sqrt{7}  

d)

 77  

7.

a)
b)
c)
d)
8.

Find Determinant for matrix

a)

66

b)

1212

c)

12-12

d)

6-6

9.
a)

ij+ki-j+k

b)

ij+k-i-j+k

c)

i+5j+5ki+5j+5k

d)

i5j+5ki-5j+5k

10.

a)
b)
c)
d)