Free Printable Complex & ACT Stuff

1.

$i^2=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

2.

$i^3=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

3.

$i^4=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

4.

$i^5=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

5.

$i^2=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

6.

$i^3=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

7.

$i^4=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

8.

$i^9=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

9.

$\sqrt{-1}=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

10.

$\sqrt{-64}$

a)

$8i$

b)

$-8$

c)

$8$

d)

-8i

11.

Solve: $x^2+36=0$

a)

$\pm6$

b)

$-6$

c)

$6i$

d)

$\pm6i$

12.

$\left(3-i\right)-\left(2+4i\right)=$

a)

$10+10i$

b)

$1-5i$

c)

$6-4i^2$

d)

$10$

13.

$\left(3-i\right)\left(2+4i\right)=$

a)

$10+10i$

b)

$1-5i$

c)

$6-4i^2$

d)

$10$

14.

$\sqrt{-12}$

a)

$2i\sqrt{3}$

b)

$4i\sqrt{3}$

c)

$-2\sqrt{3}$

d)

$-4i\sqrt{3}$

15.

$\sqrt{-18}$

a)

$3i\sqrt{2}$

b)

$9i\sqrt{2}$

c)

$-3\sqrt{2}$

d)

$-9i\sqrt{2}$

16.

a)

10

b)

-10

c)

10i

d)

-10i

17.

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

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

18.

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

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

19.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

20.

√-36

a)

6

b)

-6

c)

-6i

d)

6i

21.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

22.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

23.

3i + 2i

a)

5i

b)

5i²

c)

6i

d)

-5

24.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

25.

-6i+3i

a)

3i

b)

-3i

c)

-2i

d)

-3i²

26.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

27.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

28.

3i+5i+2i+10

a)

10

b)

10i+10

c)

10i

d)

100i

29.

(3i)(5i) (Hint: $i^2$ =-1)

a)

15

b)

-15

c)

15i

d)

-15i

30.

$i=\sqrt[]{-1}$

a)

True

b)

False

31.

a)

A

b)

B

c)

C

d)

D

32.

a)

A

b)

B

c)

C

d)

D

33.

a)

A

b)

B

c)

C

d)

D

34.

a)

A

b)

B

c)

C

d)

D

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

a)

A

b)

B

c)

C

d)

D

41.

a)

A

b)

B

c)

C

d)

D

42.

What is the conjugate you would multiply by?

a)

5+2i

b)

5-2i

c)

-5-2i

d)

-5+2i

43.

What is the conjugate you would multiply by?

a)

2+i

b)

2-i

c)

-2+i

d)

-2-i

44.

What is the conjugate you would multiply by?

a)

-1-5i

b)

1+5i

c)

1-5i

d)

-1+5i

45.

What is the denominator after multiplying and before simplifying?

a)

17

b)

13

c)

5i

d)

15i

46.

What is the denominator after multiplying and before simplifying?

a)

-3

b)

29

c)

21i

d)

2+5i

47.

What is the denominator after multiplying and before simplifying?

a)

-10

b)

-2i

c)

2i

d)

10

48.

What is the numerator after multiplying and before simplifying?

a)

6-8i

b)

12-6i

c)

8+6i

d)

-3+4i

49.

What is the numerator after multiplying and before simplifying?

a)

5-4i

b)

4i+5

c)

-5i

d)

4-i

50.

What is the numerator after multiplying and before simplifying?

a)

2-6i

b)

2+6i

c)

-2+6i

d)

-2-6i

51.

What is the numerator after multiplying and before simplifying?

a)

2-6i

b)

2+6i

c)

-2+6i

d)

-2-6i

52.

What is the numerator after multiplying and before simplifying?

a)

1

b)

-5+2i

c)

-7i

d)

-4+i

53.

Simplify (11 + 5i)(11 - 5i)

a)

121 -110i

b)

121 + 110i

c)

146

d)

121 - 25i²

54.

Solve $7x^2-42=-35x$

a)

{-6, 1}

b)

{6, 1}

c)

{-6, -1}

d)

{6, -1}

55.

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

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

56.

A restaurant occupying the top floor of a skyscraper rotates as diners enjoy the view. Kevin and Jeremy notice that they began their meal at 7:00 pm looking due north. At 7:45 pm they had rotated 180 degrees to a view that was due south. At this rate, how many degreees will the restaurant rotate in 1 hour?

a)

90

b)

180

c)

240

d)

270

57.

The cost of a gym membership is a onetime fee of $140 plus a monthly fee of $40. Kristian wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?

a)

3

b)

4

c)

9

d)

12

58.

A museum offers a 2-hour guided group tour. For groups with fewer than 25 people the cost is $9.25 per person, and for groups with 25 or more the cost is $8.50 per person. The 27 people in the WCHS tour group each paid $9.25 in advance. What is the total refund that the museum owes the WCHS group?

a)

$12.50

b)

$18.75

c)

$20.25

d)

$25.00

59.

The 13-member math club needs to choose a student government representative. They decide that the representative, who will be chosen at random, CANNOT be one of the 3 current officers of the club. What is the probability that Myra, who is a member of the club but NOT an officer, will be chosen?

a)

1/13

b)

1/10

c)

3/13

d)

1/3

60.

Shy earned scores of 75, 70, 92, 95, and 97 points for a total of 429 points on the first 5 tests in Algebra II. Solving which of the following equations for s gives the score she needs to earn on the 6th test to average exactly 85 points for all 6 tests?

a)

429/5 + s = 85

b)

429/6 + s = 85

c)

(s + 429)/5 = 85

d)

(s + 429)/6 = 85

Complex & ACT Stuff

Total questions: 60

Worksheet time: 4hrs 59mins

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