Test your basic knowledge |

CLEP General Mathematics: Number Systems And Sets

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. Subtraction
difference
addition
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
7

2. A number is divisible by 4 if
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
the number formed by the two right-hand digits is divisible by 4
magnitude
K+6 - K+5 - K+4 K+3.........answer is K+3

3. Total
Commutative Law of Addition
addition
Associative Law of Addition
(x-12)/40

4. This law can be applied to subtraction by changing signs so that all negative signs become number signs and all signs of operation are positive.
To separate a number into prime factors
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
the genus of the curve
Commutative Law of Addition

5. Begin by taking out the smallest factor If the number is even - take out all the 2's first - then try 3 as a factor
Algebraic number theory
Natural Numbers
quadratic field
To separate a number into prime factors

6. Is any complex number that is a solution to some polynomial equation with rational coefficients; for example - every solution x of (say) is an algebraic number. Fields of algebraic numbers are also called algebraic number fields - or shortly number f
the number formed by the two right-hand digits is divisible by 4
algebraic number
Positional notation (place value)
the genus of the curve

7. A number is divisible by 3 if
equation
Braces
the number formed by the three right-hand digits is divisible by 8
its the sum of its digits is divisible by 3

8. 2 -3 -4 -5 -6
(x-12)/40
consecutive whole numbers
F - F+1 - F+2.......answer is F+2
Associative Law of Addition

9. No short method has been found for determining whether a number is divisible by
constant
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
one characteristic in common such as similarity of appearance or purpose
7

10. In terms of its tools - as the study of the integers by means of tools from real and complex analysis - in terms of its concerns - as the study within number theory of estimates on size and density - as opposed to identities.
Analytic number theory
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
Third Axiom of Equality
constant

11. The square roots of a + bi (with b ? 0) are - where and where sgn is the signum function. This can be seen by squaring to obtain a + bi.
rectangular coordinates
Associative Law of Addition
Definition of genus
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

12. A number is divisible by 8 if
an equation in two variables defines
repeated elements
the number formed by the three right-hand digits is divisible by 8
quadratic field

13. Allow for solutions to certain equations that have no real solution: the equation has no real solution - since the square of a real number is 0 or positive.
Complex numbers
addition
Commutative Law of Addition
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}

14. Does not have an equal sign (3x+5) (2a+9b)
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
K+6 - K+5 - K+4 K+3.........answer is K+3
division
expression

15. The relative greatness of positive and negative numbers
F - F+1 - F+2.......answer is F+2
magnitude
rectangular coordinates
Factor of the given number

16. Number T increased by 9
Number fields
addition corresponds to vector addition while multiplication corresponds to multiplying their magnitudes and adding their arguments (i.e. the angles they make with the x axis).
T+9
repeated elements

17. Plus
Prime Number
equation
The real number a of the complex number z = a + bi
addition

18. The smallest of four sonsecutive whole numbers - the biggest of which is K+6
addition corresponds to vector addition while multiplication corresponds to multiplying their magnitudes and adding their arguments (i.e. the angles they make with the x axis).
Commutative Law of Addition
K+6 - K+5 - K+4 K+3.........answer is K+3
The numbers are conventionally plotted using the real part

19. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}
Commutative Law of Multiplication
constant
expression
repeated elements

20. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number
quadratic field
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
counterclockwise through 90
To separate a number into prime factors

21. This law can be applied to subtraction by changing signs in such a way that all negative signs are treated as number signs rather than operational signs.That is - some of the addends can be negative numbers.
polynomial
Associative Law of Addition
addition
multiplication

22. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the

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

23. Sum
Commutative Law of Addition
base-ten number
addition
Set

24. A number is divisible by 9 if
expression
the sum of its digits is divisible by 9
variable
solutions

25. Less than
subtraction
addition
counterclockwise through 90
monomial

26. LAWS FOR COMBINING NUMBERS
Equal
positive
Definition of genus
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.

27. The objects in a set have at least
one characteristic in common such as similarity of appearance or purpose
addition
Equal
multiplication

28. The finiteness or not of the number of rational or integer points on an algebraic curve
algebraic number
In Diophantine geometry
addition corresponds to vector addition while multiplication corresponds to multiplying their magnitudes and adding their arguments (i.e. the angles they make with the x axis).
the genus of the curve

29. The greatest of 3 consecutive whole numbers - the smallest of which is F
F - F+1 - F+2.......answer is F+2
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
Second Axiom of Equality
Associative Law of Addition

30. The real and imaginary parts of a complex number can be extracted using the conjugate:
Analytic number theory
a complex number is real if and only if it equals its conjugate.
Algebraic number theory
algebraic number

31. The numbers which are used for counting in our number system are sometimes called
constant
its the sum of its digits is divisible by 3
complex number
Natural Numbers

32. The place value which corresponds to a given position in a number is determined by the
addition corresponds to vector addition while multiplication corresponds to multiplying their magnitudes and adding their arguments (i.e. the angles they make with the x axis).
Base of the number system
(x-12)/40
solutions

33. These are emphasised in a complex number's polar form and it turns out notably that the operations of addition and multiplication take on a very natural geometric character when complex numbers are viewed as position vectors:
addition corresponds to vector addition while multiplication corresponds to multiplying their magnitudes and adding their arguments (i.e. the angles they make with the x axis).
Number fields
Third Axiom of Equality
addition

34. A number that has no factors except itself and 1 is a
Complex numbers
Prime Number
Factor of the given number
a curve - a surface or some other such object in n-dimensional space

35. Any number that is not a multiple of 2 is an
coefficient
Prime Factor
Odd Number
Downward

36. This law states that the product of two or more factors is the same regardless of the order in which the factors are arranged. Negative signs require no special treatment in the application of this law.
Commutative Law of Multiplication
Prime Number
monomial
subtraction

37. More than one term (5x+4 contains two)
polynomial
repeated elements
Factor of the given number
upward

38. A number that has factors other than itself and 1 is a
subtraction
Distributive Law
Composite Number
Commutative Law of Addition

39. The number of digits in an integer indicates its rank; that is - whether it is 'in the hundreds -' 'in the thousands -' etc. The idea of ranking numbers in terms of tens - hundreds - thousands - etc. - is based on the
Algebraic number theory
base-ten number
subtraction
Place Value Concept

40. As the horizontal component - and imaginary part as vertical These two values used to identify a given complex number are therefore called its Cartesian - rectangular - or algebraic form.
righthand digit is 0 or 5
complex number
T+9
The numbers are conventionally plotted using the real part

41. Has an equal sign (3x+5 = 14)
equation
polynomial
Factor of the given number
Analytic number theory

42. This law states that the sum of three or more addends is the same regardless of the manner in which they are grouped. suggests association or grouping.
Prime Number
Associative Law of Addition
coefficient
base-ten number

43. A letter tat represents a number that is unknown (usually X or Y)
coefficient
Set
In Diophantine geometry
variable

44. The central problem of Diophantine geometry is to determine when a Diophantine equation has
solutions
Forth Axiom of Equality
Multiple of the given number
addition

45. Any number that la a multiple of 2 is an
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
K+6 - K+5 - K+4 K+3.........answer is K+3
Even Number
Natural Numbers

46. The sum of two complex numbers A and B - interpreted as points of the complex plane - is the point X obtained by building a parallelogram three of whose vertices are O - A and B. Equivalently - X is the point such that the triangles with vertices O -
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
expression
Numerals
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .

47. A number is divisible by 2 if
Members of Elements of the Set
right-hand digit is even
T+9
the number formed by the three right-hand digits is divisible by 8

48. Addition of two complex numbers can be done geometrically by
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
constructing a parallelogram
Odd Number
Factor of the given number

49. Any number that can be divided lnto a given number without a remainder is a
algebraic number
Factor of the given number
order of operations
Natural Numbers

50. The defining characteristic of a position vector is that it has
righthand digit is 0 or 5
magnitude and direction
C or
Forth Axiom of Equality