Free Printable Basic Algebra & Complex Numbers

1.

The property a*b = b*a for all a, b belongs to A, is called as the

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Closure Property

2.

The formula for $\left(a+b\right)^3=$

a)

$a^3+b^3$

b)

$a^3+3a^2b+3ab^2+b^3$

c)

$a^2+2ab+b^2$

d)

$a^3-3a^2b+3ab^2+b^3$

3.

If for all a, b in A, a*b $\epsilon$ A, then this property is called as

a)

the closure property

b)

the associative propery

c)

the distributive property

d)

the commutative property

4.

$If\ i\ is\ an\ imaginary\ unit,\ i.e.\ i\ =\sqrt{-1},\ then\ i^2\ =$

(a)

5.

$a^3+b^3=$ (Choose all correct options)

a)

$\left(a+b\right)\left(a^2-ab+b^2\right)$

b)

$\left(a+b\right)\left(a^2+ab+b^2\right)$

c)

$\left(a+b\right)^3$

d)

$\left(a+b\right)^3-3ab\left(a+b\right)$

6.

$In\ the\ complex\ number\ z\ =\ a\ +\ ib,$ , Which of the following is the imaginary part of conjugate $\overline{z}$

a)

b

b)

-ib

c)

-b

d)

ib

7.

$The\ product\ \left(a+ib\right)\left(c+id\right)\ =$

a)

$\left(ac+bd\right)+i\left(ad\ -\ bc\right)$

b)

$\left(ad\ -\ bc\right)+i\left(ac+bd\right)$

c)

$\left(ac+bd\right)+i\left(ad+bc\right)$

d)

$\left(ac-bd\right)+i\left(ad+bc\right)$

8.

$The\ value\ of\ \left(5+3i\right)\left(5-3i\right)=$

(a)

9.

The statement "Every real number is a complex number", is

a)

True

b)

False

10.

$The\ quotient\ \frac{a+ib}{c+id}=$

a)

$\frac{ac+bd}{c^2+d^2}+i\frac{bc-ad}{c^2+d^2}$

b)

$\frac{ac-bd}{c^2+d^2}+i\frac{ad+bc}{c^2+d^2}$

c)

$\frac{bc-ad}{c^2+d^2}+i\ \frac{ac+bd}{c^2+d^2}$

d)

None of these

Basic Algebra & Complex Numbers

Total questions: 10

Worksheet time: 5mins

Similar Resources on Wayground