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. Any number that la a multiple of 2 is an
Q-16
the number formed by the three right-hand digits is divisible by 8
the sum of its digits is divisible by 9
Even Number

2. Number X decreased by 12 divided by forty
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
rectangular coordinates
addition
(x-12)/40

3. One asks whether there are any rational points (points all of whose coordinates are rationals) or integral points (points all of whose coordinates are integers) on the curve or surface. If there are any such points - the next step is to ask how many
solutions
In Diophantine geometry
base-ten number
Associative Law of Addition

4. Remainder
rectangular coordinates
Number fields
Inversive geometry
subtraction

5. Less than
subtraction
coefficient
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
Downward

6. A number that has factors other than itself and 1 is a
Composite Number
addition
Place Value Concept
rectangular coordinates

7. Subtraction
difference
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
Multiple of the given number
positive

8. If z is a real number (i.e. - y = 0) - then r = |x|. In general - by Pythagoras' theorem - r is the distance of the point P representing the complex number z to the origin.
The real number a of the complex number z = a + bi
Third Axiom of Equality
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
Digits

9. Decreased by
Inversive geometry
Braces
Second Axiom of Equality
subtraction

10. The numbers which are used for counting in our number system are sometimes called
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
Natural Numbers
Associative Law of Addition
Number fields

11. The defining characteristic of a position vector is that it has
consecutive whole numbers
magnitude and direction
subtraction
algebraic number

12. This law states that the sum of two or more addends is the same regardless of the order in which they are arranged. Means to change - substitute or move from place to place.
Commutative Law of Addition
multiplication
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.

13. Consists of all numbers of the form - where a and b are rational numbers and d is a fixed rational number whose square root is not rational.
quadratic field
C or
Prime Number
Algebraic number theory

14. The number without a variable (5m+2). In this case - 2
In Diophantine geometry
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
Numerals
constant

15. Any number that is exactly divisible by a given number is a
Multiple of the given number
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
Equal
C or

16. The relative greatness of positive and negative numbers
K+6 - K+5 - K+4 K+3.........answer is K+3
magnitude
the genus of the curve
an equation in two variables defines

17. 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).
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
subtraction
Definition of genus

18. Plus
right-hand digit is even
Set
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
addition

19. Since the elements of the set {2 - 4 - e} are the same as the elements of{4 - 2 - e} - these two sets are said to be
Equal
addition
Multiple of the given number
The absolute value (or modulus or magnitude) of a complex number z = x + yi is

20. 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

21. Number T increased by 9
T+9
the genus of the curve
a curve - a surface or some other such object in n-dimensional space
monomial

22. The objects in a set have at least
a complex number is real if and only if it equals its conjugate.
Second Axiom of Equality
K+6 - K+5 - K+4 K+3.........answer is K+3
one characteristic in common such as similarity of appearance or purpose

23. Addition of two complex numbers can be done geometrically by
constructing a parallelogram
quadratic field
even and the sum of its digits is divisible by 3
a curve - a surface or some other such object in n-dimensional space

24. Total
Algebraic number theory
The multiplication of two complex numbers is defined by the following formula:
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
addition

25. One asks whether there are any rational points (points all of whose coordinates are rationals) or integral points (points all of whose coordinates are integers) on the curve or surface. If there are any such points - the next step is to ask how many
constructing a parallelogram
In Diophantine geometry
multiplication
Associative Law of Addition

26. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
negative
Distributive Law
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).
constant

27. Product
algebraic number
K+6 - K+5 - K+4 K+3.........answer is K+3
multiplication
addition

28. A number is divisible by 9 if
Factor of the given number
the sum of its digits is divisible by 9
Even Number
complex number

29. The finiteness or not of the number of rational or integer points on an algebraic curve
the number formed by the two right-hand digits is divisible by 4
the genus of the curve
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
right-hand digit is even

30. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative
addition
Downward
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
16(5+R)

31. If two equal quantities are divided by the same quantity - the resulting quotients are equal. If equals are divided by equals - the results are equal.
solutions
Forth Axiom of Equality
division
Associative Law of Addition

32. A number is divisible by 6 if it is
the number formed by the two right-hand digits is divisible by 4
the genus of the curve
even and the sum of its digits is divisible by 3
expression

33. Product of 16 and the sum of 5 and number R
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Odd Number
addition
16(5+R)

34. 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
If the same quantity is added to each of two equal quantities - the resulting quantities are equal. If equals are added to equals - the results are equal.
its the sum of its digits is divisible by 3
Set

35. No short method has been found for determining whether a number is divisible by
7
variable
magnitude and direction
Base of the number system

36. Increased by
the sum of its digits is divisible by 9
Prime Factor
equation
addition

37. A number is divisible by 2 if
polynomial
even and the sum of its digits is divisible by 3
right-hand digit is even
Associative Law of Addition

38. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Associative Law of Addition
Associative Law of Multiplication
Positional notation (place value)

39. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive
Base of the number system
F - F+1 - F+2.......answer is F+2
upward
magnitude and direction

40. Another way of encoding points in the complex plane other than using the x- and y-coordinates is to use the distance of a point P to O - the point whose coordinates are (0 - 0) (the origin) - and the angle of the line through P and O. This idea leads
In Diophantine geometry
Place Value Concept
Forth Axiom of Equality
Absolute value and argument

41. 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.
Odd Number
Commutative Law of Addition
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
repeated elements

42. Any number that can be divided lnto a given number without a remainder is a
subtraction
Set
Factor of the given number
Prime Factor

43. Does not have an equal sign (3x+5) (2a+9b)
division
expression
base-ten number
F - F+1 - F+2.......answer is F+2

44. Are used to indicate sets
righthand digit is 0 or 5
even and the sum of its digits is divisible by 3
addition
Braces

45. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
Third Axiom of Equality
Distributive Law
addition
rectangular coordinates

46. Number symbols
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
subtraction
expression
Numerals

47. A number is divisible by 4 if
an equation in two variables defines
addition
the number formed by the two right-hand digits is divisible by 4
Commutative Law of Multiplication

48. 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.
Members of Elements of the Set
addition
Complex numbers
Associative Law of Addition

49. 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 -
Definition of genus
positive
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
Absolute value and argument

50. A curve in the plane
an equation in two variables defines
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Commutative Law of Addition
Analytic number theory