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. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th
division
Distributive Law
The real number a of the complex number z = a + bi
a curve - a surface or some other such object in n-dimensional space

2. No short method has been found for determining whether a number is divisible by
Algebraic number theory
a complex number is real if and only if it equals its conjugate.
7
counterclockwise through 90

3. Sum
Associative Law of Addition
K+6 - K+5 - K+4 K+3.........answer is K+3
addition
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).

4. More than one term (5x+4 contains two)
complex number
polynomial
Number fields
Third Axiom of Equality

5. Product
Associative Law of Addition
algebraic number
multiplication
Distributive Law

6. The central problem of Diophantine geometry is to determine when a Diophantine equation has
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).
Set
repeated elements
solutions

7. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.
Complex numbers
Inversive geometry
Prime Number
rectangular coordinates

8. 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
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
In Diophantine geometry
Downward
Equal

9. 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

10. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive
upward
To separate a number into prime factors
Composite Number
Members of Elements of the Set

11. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
upward
addition
Downward
rectangular coordinates

12. Any number that la a multiple of 2 is an
(x-12)/40
Even Number
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

13. First axiom of equality
Digits
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.
counterclockwise through 90
Odd Number

14. 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.
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
counterclockwise through 90
solutions
constructing a parallelogram

15. A number that has factors other than itself and 1 is a
Place Value Concept
Composite Number
Associative Law of Addition
its the sum of its digits is divisible by 3

16. Increased by
In Diophantine geometry
addition
one characteristic in common such as similarity of appearance or purpose
K+6 - K+5 - K+4 K+3.........answer is K+3

17. The greatest of 3 consecutive whole numbers - the smallest of which is F
F - F+1 - F+2.......answer is F+2
expression
Even Number
Braces

18. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative
subtraction
Downward
subtraction
The multiplication of two complex numbers is defined by the following formula:

19. 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
Commutative Law of Addition
Prime Number
base-ten number

20. 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.
In Diophantine geometry
The numbers are conventionally plotted using the real part
In Diophantine geometry
Algebraic number theory

21. Number symbols
repeated elements
Numerals
addition
Absolute value and argument

22. 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
rectangular coordinates
difference
magnitude
algebraic number

23. The smallest of four sonsecutive whole numbers - the biggest of which is K+6
K+6 - K+5 - K+4 K+3.........answer is K+3
addition
rectangular coordinates
(x-12)/40

24. A number is divisible by 3 if
its the sum of its digits is divisible by 3
Distributive Law
Analytic number theory
Factor of the given number

25. As shown earlier - c - di is the complex conjugate of the denominator c + di.
The multiplication of two complex numbers is defined by the following formula:
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Associative Law of Multiplication
F - F+1 - F+2.......answer is F+2

26. Any number that can be divided lnto a given number without a remainder is a
a curve - a surface or some other such object in n-dimensional space
complex number
Factor of the given number
Commutative Law of Addition

27. Is a number that can be expressed in the form where a and b are real numbers and i is the imaginary unit - satisfying i2 = -1. For example - -3.5 + 2i is a complex number. It is common to write a for a + 0i and bi for 0 + bi. Moreover - when the imag
magnitude
rectangular coordinates
complex number
upward

28. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)
Base of the number system
7
an equation in two variables defines
Number fields

29. Subtraction
To separate a number into prime factors
Numerals
the sum of its digits is divisible by 9
difference

30. Plus
C or
Braces
addition
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.

31. Total
Inversive geometry
addition
variable
quadratic field

32. The number without a variable (5m+2). In this case - 2
Equal
Positional notation (place value)
Place Value Concept
constant

33. The finiteness or not of the number of rational or integer points on an algebraic curve
base-ten number
algebraic number
Q-16
the genus of the curve

34. 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
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).
In Diophantine geometry
Inversive geometry
7

35. A letter tat represents a number that is unknown (usually X or Y)
Natural Numbers
variable
order of operations
In Diophantine geometry

36. One term (5x or 4)
base-ten number
monomial
order of operations
K+6 - K+5 - K+4 K+3.........answer is K+3

37. 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
To separate a number into prime factors
Factor of the given number
magnitude and direction
constant

38. 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.
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
equation
Forth Axiom of Equality
variable

39. 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.
Braces
Forth Axiom of Equality
Commutative Law of Addition
Associative Law of Addition

40. A number is divisible by 8 if
Multiple of the given number
a curve - a surface or some other such object in n-dimensional space
Set
the number formed by the three right-hand digits is divisible by 8

41. An equation - or system of equations - in two or more variables defines
Composite Number
a curve - a surface or some other such object in n-dimensional space
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
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.

42. The numbers which are used for counting in our number system are sometimes called
Natural Numbers
Place Value Concept
addition
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:

43. 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.
consecutive whole numbers
Numerals
the number formed by the two right-hand digits is divisible by 4

44. If two equal quantities are multiplied by the same quantity - the resulting products are equal. If equals are multiplied by equals - the products are equal.
addition
an equation in two variables defines
Factor of the given number
Third Axiom of Equality

45. Integers greater than zero and less than 5 form a set - as follows:
Downward
addition
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
F - F+1 - F+2.......answer is F+2

46. Number X decreased by 12 divided by forty
Multiple of the given number
algebraic number
(x-12)/40
Commutative Law of Addition

47. The real and imaginary parts of a complex number can be extracted using the conjugate:
Place Value Concept
a complex number is real if and only if it equals its conjugate.
Definition of genus
division

48. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right
Positional notation (place value)
Digits
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
In Diophantine geometry

49. Are used to indicate sets
The real number a of the complex number z = a + bi
Braces
equation
even and the sum of its digits is divisible by 3

50. 2 -3 -4 -5 -6
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.
Absolute value and argument
consecutive whole numbers
subtraction