Test your basic knowledge |

CLEP General Mathematics: Complex Numbers

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. A plot of complex numbers as points.
Complex Numbers: Add & subtract
Polar Coordinates - cos?
Complex Number Formula
Argand diagram

2. 3
Polar Coordinates - r
four different numbers: i - -i - 1 - and -1.
Affix
i^3

3. (2i+3)/(9-i)for the denominator you multiply by the conjugate and what u do to the bottom u have to do to the top then you distribute the bottom then the top then add like terms then you simplify. 21i+25/17
Polar Coordinates - Arg(z*)
Affix
How to solve (2i+3)/(9-i)
The Complex Numbers

4. All numbers
Polar Coordinates - Multiplication by i
Any polynomial O(xn) - (n > 0)
Polar Coordinates - Multiplication
complex

5. Has the opposite sign of a complex number; the conjugate of a + bi is a - bi
i^1
conjugate
the complex numbers
(a + bi) = (c + bi) = (a + c) + ( b + d)i

6. When two complex numbers are subtracted from one another.
Complex Conjugate
Polar Coordinates - Multiplication by i
Rational Number
Complex Subtraction

7. When two complex numbers are divided.
Complex Addition
i^3
Complex Division
Polar Coordinates - Arg(z*)

8. Multiply moduli and add arguments
integers
the distance from z to the origin in the complex plane
(a + c) + ( b + d)i
Polar Coordinates - Multiplication

9. E^(i?) = cos? + isin? ; e^(ip) + 1 = 0

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

10. A subset within a field.
the distance from z to the origin in the complex plane
Polar Coordinates - sin?
Subfield
the vector (a -b)

11. A number that can be expressed as a fraction p/q where q is not equal to 0.
Rational Number
Irrational Number
i²
-1

12. I
conjugate pairs
Subfield
i^1
has a solution.

13. 4th. Rule of Complex Arithmetic
non-integers
rational
(a + bi) = (c + bi) = (a + c) + ( b + d)i
Euler Formula

14. I^2 =
has a solution.
-1
Irrational Number
irrational

15. No i
standard form of complex numbers
How to multiply complex nubers(2+i)(2i-3)
real
a + bi for some real a and b.

16. Every complex number has the 'Standard Form':
Complex numbers are points in the plane
non-integers
a + bi for some real a and b.
conjugate pairs

17. Not on the numberline
sin iy
non-integers
Polar Coordinates - z
Complex Numbers: Add & subtract

18. The field of all rational and irrational numbers.
Real Numbers
Complex Division
Polar Coordinates - Multiplication by i
Imaginary Unit

19. V(x² + y²) = |z|
imaginary
|z-w|
Polar Coordinates - r
zz*

20. xpressions such as ``the complex number z'' - and ``the point z'' are now
Polar Coordinates - z
(a + c) + ( b + d)i
interchangeable
Complex Addition

21. 1
(a + c) + ( b + d)i
Rules of Complex Arithmetic
Polar Coordinates - Multiplication by i
i²

22. Starts at 1 - does not include 0
four different numbers: i - -i - 1 - and -1.
Euler's Formula
natural
(a + c) + ( b + d)i

23. (e^(-y) - e^(y)) / 2i = i sinh y
Polar Coordinates - sin?
sin iy
0 if and only if a = b = 0
Euler Formula

24. (a + bi) = (c + bi) =
cos iy
cos z
Polar Coordinates - Multiplication
(a + c) + ( b + d)i

25. V(zz*) = v(a² + b²)
|z| = mod(z)
Absolute Value of a Complex Number
non-integers
Argand diagram

26. 2nd. Rule of Complex Arithmetic

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

27. Rotates anticlockwise by p/2
complex
Polar Coordinates - Multiplication by i
Irrational Number
adding complex numbers

28. When two complex numbers are added together.
Affix
cosh²y - sinh²y
Complex Addition
|z| = mod(z)

29. Complex Plane = i - Use the distance formula to determine the point's distance from zero - or - the absolute value.
cosh²y - sinh²y
Polar Coordinates - sin?
interchangeable
Absolute Value of a Complex Number

30. If z= a+bi is a complex number and a and b are real - we say that a is the real part of z and that b is the imaginary part of z
real
sin iy
Real and Imaginary Parts
i^3

31. 1
subtracting complex numbers
standard form of complex numbers
i^2
Complex Division

32. When you subtract two complex numbers a + bi and c + di - you get the difference of the real parts and the difference of the imaginary parts: (a + bi) - (c + di) = (a - c) + (b - d)i
Complex numbers are points in the plane
The Complex Numbers
subtracting complex numbers
Complex Conjugate

33. (e^(iz) - e^(-iz)) / 2i
sin z
Complex numbers are points in the plane
Euler's Formula
Integers

34. 1
Polar Coordinates - Arg(z*)
Any polynomial O(xn) - (n > 0)
i^4
How to solve (2i+3)/(9-i)

35. The product of an imaginary number and its conjugate is
i^1
How to multiply complex nubers(2+i)(2i-3)
Rational Number
a real number: (a + bi)(a - bi) = a² + b²

36. To simplify a complex fraction
multiply the numerator and the denominator by the complex conjugate of the denominator.
Imaginary Numbers
Complex Exponentiation
cos z

37. Equivalent to an Imaginary Unit.
z - z*
Imaginary number
integers
sin z

38. Notice that rules 4 and 5 state that we complex numbers together - we can divide by c + di if c and d are not both zero. But there is a much easier way to do division.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

39. For real a and b - a + bi =
i^0
0 if and only if a = b = 0
x-axis in the complex plane
|z-w|

40. To simplify the square root of a negative number
-1
Imaginary Unit
ac + bci + adi + bdi^2 =(ac - bc) + (bc + ad)i
you write the square root as the product of square roots and simplify: v(-a) = v(-1)v(a) = iv(a)

41. Given (4-2i) the complex conjugate would be (4+2i)
'i'
Complex Numbers: Add & subtract
Complex Conjugate
zz*

42. We see in this way that the distance between two points z and w in the complex plane is
The Complex Numbers
|z-w|
How to multiply complex nubers(2+i)(2i-3)
Argand diagram

43. E^(ln r) e^(i?) e^(2pin)
e^(ln z)
integers
Complex Conjugate
Subfield

44. Real and imaginary numbers
complex numbers
subtracting complex numbers
four different numbers: i - -i - 1 - and -1.
Complex Exponentiation

45. Any number not rational
complex numbers
z - z*
irrational
cos z

46. Written as fractions - terminating + repeating decimals
How to solve (2i+3)/(9-i)
Complex Division
Polar Coordinates - Division
rational

47. 3rd. Rule of Complex Arithmetic
Polar Coordinates - z?¹
cos z
For real a and b - a + bi = 0 if and only if a = b = 0
can't get out of the complex numbers by adding (or subtracting) or multiplying two

48. 2ib
z - z*
i^1
Polar Coordinates - Multiplication
Complex Numbers: Add & subtract

49. One of the numbers ... --2 --1 - 0 - 1 - 2 - ....
sin iy
rational
Integers
Imaginary Unit

50. All the powers of i can be written as
sin z
four different numbers: i - -i - 1 - and -1.
multiply the numerator and the denominator by the complex conjugate of the denominator.
Polar Coordinates - Multiplication by i

Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?

Major Subjects
Tests & Exams AP CLEP DSST GRE SAT GMAT	Certifications CISSP go to https://www.isc2.org/ PMP ITIL RHCE MCTS More...	IT Skills Android Programming Data Modeling Objective C Programming Basic Python Programming Adobe Illustrator More...	Business Skills Advertising Techniques Business Accounting Basics Business Strategy Human Resource Management Marketing Basics More...
Soft Skills Body Language People Skills Public Speaking Persuasion Job Hunting And Resumes More...	Vocabulary GRE Vocab SAT Vocab TOEFL Essential Vocab Basic English Words For All Global Words You Should Know Business English More...	Languages AP German Vocab AP Latin Vocab SAT Subject Test: French Italian Survival Norwegian Survival More...	Engineering Audio Engineering Computer Science Engineering Aerospace Engineering Chemical Engineering Structural Engineering More...
Health Sciences Basic Nursing Skills Health Science Language Fundamentals Veterinary Technology Medical Language Cardiology Clinical Surgery More...	English Grammar Fundamentals Literary And Rhetorical Vocab Elements Of Style Vocab Introduction To English Major Complete Advanced Sentences Literature Homonyms More...	Math Algebra Formulas Basic Arithmetic: Measurements Metric Conversions Geometric Properties Important Math Facts Number Sense Vocab Business Math More...	Other Major Subjects Science Economics History Law Performing-arts Cooking Logic & Reasoning Trivia

Test your basic knowledge |

CLEP General Mathematics: Complex Numbers

Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?

Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests

Major Subjects

Tests & Exams

Certifications

IT Skills

Business Skills

Soft Skills

Vocabulary

Languages

Engineering

Health Sciences

English

Math

Other Major Subjects

Browse all subjects

Browse all tests

Most popular tests