Free Printable Imaginary Numbers and Operations

1.

Where is point B located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

2.

Where is point C located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

3.

Where is point A located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

4.

(3 + 2i) + (4 - 5i)

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

5.

(-7 + 9i) + (2 - 10i)

a)

-5 + i

b)

-5 - i

c)

-9 + 1

d)

9 - i

6.

(4 - 2i) - (3 + 6i)

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

7.

Choose the correct answer for the operation pictured.

a)

7-13i

b)

7-i

c)

1-13i

d)

1-i

8.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

9.

The expression (2 + 3i)² is equal to

a)

-5

b)

-5 + 12i

c)

13

d)

13 + 12i

10.

(3 + 8i)(-2 - i)

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

11.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

12.

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

a)

True

b)

False

13.

√-36

a)

6

b)

-6

c)

-6i

d)

6i

14.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

15.

Simplify.

a)

b)

c)

d)

16.

Simplify i²³

a)

i

b)

-1

c)

1

d)

-i

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

6x - 4 ≥ 26

a)

x ≥ 3.67

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

20.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

21.

Do you flip the sign?
-3x + 2 ≤ 22

a)

YES

b)

NO

22.

Solve:

a)

x < 24

b)

x < 3

c)

x > 24

d)

x < 10.3333....

23.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

24.

a)

Function

b)

Not a Function

25.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

26.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

27.

What is the equation of the RED piece (one on the RIGHT)?

a)

x - 1 if x > 3

b)

3 if x ≥ 3

c)

-1 if x ≥ 3

d)

-1 if x > 3

28.

What is f(2)?

a)

0

b)

-5

c)

-2

d)

1

29.

If $g\left(x\right)=5-6x,$ find $g\left(-5\right).$

a)

$g\left(-5\right)=-25$

b)

$g\left(-5\right)=6$

c)

$g\left(-5\right)=4$

d)

$g\left(-5\right)=35$

30.

$f\left(x\right)=x^2-9x+2$
Evaluate: $f\left(-2\right)$

a)

$f\left(-2\right)=24$

b)

$f\left(-2\right)=-20$

c)

$f\left(-2\right)=16$

d)

$f\left(-2\right)=-12$

31.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

32.

Given g(x) = 3/4 x + 10, find g(-12).

a)

g(-12) = 19

b)

g(-12) = 1

33.

f(x) = 3x + 10

g(x) = x - 2

Find (f∘g)(0)

(a)

34.

Name the parent function.

a)

constant

b)

quadratic

c)

linear

d)

exponential

35.

Name the parent function.

a)

cube root

b)

square root

c)

quadratic

d)

linear

36.

If $f(x)=x^2+9$ and $g(x)=x-9$ ,

Find $f(x)-g(x)$ .

a)

$x^2+x+9$

b)

$x^2-x+9$

c)

$x^2-x$

d)

$x^2-x+18$

37.

i^6

a)

1

b)

-1

c)

i

d)

-i

38.

i^{15}

a)

1

b)

-1

c)

$i$

d)

$-i$

39.

i^{31}

a)

1

b)

-1

c)

$i$

d)

$-i$

40.

Which of the following is equivalent to:

$\sqrt[]{-12}$

a)

$2i\ \sqrt[]{3}$

b)

$2i\ \sqrt[]{2}$

c)

$3i\ \sqrt[]{3}$

d)

$3i\ \sqrt[]{2}$

41.

Which of the following is equivalent to:

$\sqrt[]{-108}$

a)

$2i\ \sqrt[]{27}$

b)

$3i\ \sqrt[]{12}$

c)

$6i\ \sqrt[]{3}$

d)

$54i\ \sqrt[]{2}$

42.

IS $\sqrt[]{-81}$ THE SAME AS $-\ \sqrt[]{81}$ ?

a)

YES, THE ANSWERS ARE THE SAME

b)

NO, THE ANSWERS ARE NOT THE SAME

43.

Which of the following is equivalent to:

$\sqrt[]{-\ 288}$

a)

$12i\ \sqrt[]{-\ 2}$

b)

$-12i\ \sqrt[]{2}$

c)

$12i\ \sqrt[]{2}$

d)

$2i\ \sqrt[]{144}$

44.

Write the following in complex standard form: $3+\sqrt{-25}$

(a)

45.

Simplify

a)

b)

c)

d)

46.

a)

7

b)

-7

c)

7i

d)

-7i

47.

Simplify:
(4 + 7i) - (3 + 2i)

a)

1 + 5i

b)

7 + 9i

c)

1 + 9i

d)

-1 + 5i

48.

Solve the system.

a)

(2, -2, 3)

b)

(2, 1, 4)

c)

(-2, 2, -3)

d)

No Solution

49.

Solve the system of equations:

a)

( -2, 3, -3)

b)

None of these

c)

( -2, -3, 3)

d)

( -3, 3, -2)

50.

What is the domain?

a)

x = 2

b)

−∞ < x < ∞

c)

y = 2

d)

none of these

51.

What is the range of the function?

a)

$-4\le y\le1$

b)

$3\le y\le5$

c)

$-3\le y\le5$

d)

$1\le y\le4$

52.

What is the domain of the quadratic function?

a)

$y\ge-4$

b)

$x\le4$

c)

All Real Numbers

53.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

54.

f(x) = -4x - 12

What is f^-1(x)?

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

55.

Which is f ^-1(x)?

a)

f^-1(x) = 5x + 3

b)

f^-1(x) = 5x - 3

c)

f^-1(x) = 5x - 15

d)

f^-1(x) = 1/5(x) + 3/5

56.

$f\left(x\right)=\frac{3x+10}{7}$
Find $f^{-1}\left(x\right)$

a)

$7x-\frac{10}{3}$

b)

$\frac{7x}{3}-10$

c)

$\frac{7\left(x-10\right)}{3}$

d)

$\frac{7x-10}{3}$

57.

Are these the graphs of two inverse functions?

a)

Yes

b)

No

c)

No way to tell

58.

$6m^2+16m$

a)

$2(3m^2+8m)$

b)

$2m(3m+8)$

c)

$2m(3m-8m)$

d)

$not\ factorable$

59.

$18x^2-9x$

a)

$18x(x-2)$

b)

$9x(9x-1)$

c)

$9x(2x-1)$

d)

$3x(6x-3)$

60.

$36x-9$

a)

$9(4x)$

b)

$3(12x-3)$

c)

$(6x+3)(6x-3)$

d)

$9(4x-1)$

61.

$56x^3\ -\ 8x$

a)

$8x^2(56x^3-8x)$

b)

$8x\left(7x^2-1\right)$

c)

$8x(7x^3-x)$

d)

$8x^2(35x^3-x)$

62.

Factor:

-21x + 35

a)

-7(3x - 5)

b)

7(-21x²+ 35)

c)

28(-3x²+ 5x)

d)

7(3x - 5)

63.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

64.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

65.

Solve for p
$A\ =\ \frac{1}{2}pa$

a)

$A-\frac{1}{2}a\ =\ p$

b)

$\frac{2A}{a}=p$

c)

$\frac{A}{2a}=p$

d)

$2A-a\ =\ p$

66.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

d)

x = vy + b

67.

Solve $A=\frac{1}{2}bh$ for $b.$

a)

$b=\frac{2A}{h}$

b)

$b=\frac{h}{2A}$

c)

$b=\frac{A}{2h}$

d)

$b=\frac{2h}{A}$

Imaginary Numbers and Operations

Total questions: 67

Worksheet time: 7hrs 53mins

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