Free Printable REVISION CHAPTER 1

1.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

2.

√-36

a)

6

b)

-6

c)

-6i

d)

6i

3.

Simplify the expression: $\left(5\ +\ 4i\right)\ -\ \left(-1\ -\ 2i\right)$

a)

$6\ +6i$

b)

$4\ +\ 2i$

c)

$6\ -\ 6i$

d)

$4\ -\ 2i$

4.

Multiply the expression $\left(6i\right)\left(5i\right)$

a)

$30$

b)

$-30$

c)

$30i$

d)

-30i

5.

$Simplify:\ \ \ \ 2i\left(4\ +\ 3i\right)$

a)

$-6\ +\ 8i$

b)

$6\ +\ 8i$

c)

$-6i\ +\ 8i$

d)

$-1\ +\ 8i$

6.

Simplify
(-6 - 2i)²

a)

32

b)

36-4i

c)

36+24i

d)

32+24i

7.

Find the complex conjugate of $1-i\sqrt{2}$

a)

$1+i\sqrt{2}$

b)

$2+i\sqrt{1}$

c)

$1+\sqrt{2}$

8.

Simplify

a)

$-\frac{10}{17}+\frac{6}{17}i$

b)

$\frac{1}{61}+\frac{50}{61}i$

c)

$-\frac{23}{25}+\frac{36}{25}i$

d)

$-\frac{21}{34}+\frac{33}{34}i$

9.

(-5 + 10i)(-5 - 10i) = 125

a)

True

b)

False

10.

Simplify i²³

a)

i

b)

-1

c)

1

d)

-i

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

$5i$

b)

$-5i$

c)

$5+i$

d)

$-5$

13.

According to the principle of mathematical induction, to prove a statement that is asserted about every natural number n, there are two things to prove. What is the first?

a)

The statement is true for n = 1.

b)

The statement is true for n = k.

c)

The statement is true for n = k+1.

14.

The sum of the first n odd numbers is equal to the n^th square.
1 + 3 + 5 + 7 + . . . + (2n − 1) = n²

To prove this by mathematical induction, what will be the induction assumption?

a)

The statement is true for n = k:
1 + 3 + 5 + 7 + . . . + (2k − 1) = k²

b)

The statement is true for n = 1:
2x1 − 1 = 1²

c)

The statement is true for n = k + 1:
1 + 3 + 5 + 7 + . . . + (2k − 1) + (2k + 1) = (k + 1)²

15.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

16.

What is the domain?

a)

(-3 , 3)

b)

[-4, 5]

c)

(-4, 5)

d)

(-3, 3]

17.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

18.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

19.

a)

-4

b)

4

c)

Does not exist

d)

10

20.

What is the value of y when x = -2?

a)

4

b)

2

c)

-3

d)

-4

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

REVISION CHAPTER 1

Total questions: 22

Worksheet time: 13mins

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