SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
CLEP General Mathematics: Number Systems And Sets
Start Test
Study First
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. Number X decreased by 12 divided by forty
Prime Factor
one characteristic in common such as similarity of appearance or purpose
rectangular coordinates
(x-12)/40
2. Sum
negative
addition
Braces
algebraic number
3. 2 -3 -4 -5 -6
base-ten number
Members of Elements of the Set
consecutive whole numbers
Forth Axiom of Equality
4. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -
positive
subtraction
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
5. First axiom of equality
Positional notation (place value)
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.
upward
positive
6. Any number that can be divided lnto a given number without a remainder is a
Analytic number theory
Second Axiom of Equality
Braces
Factor of the given number
7. A number is divisible by 5 if its
a curve - a surface or some other such object in n-dimensional space
Distributive Law
Place Value Concept
righthand digit is 0 or 5
8. Less than
K+6 - K+5 - K+4 K+3.........answer is K+3
subtraction
The multiplication of two complex numbers is defined by the following formula:
the number formed by the two right-hand digits is divisible by 4
9. Implies a collection or grouping of similar - objects or symbols.
difference
Third Axiom of Equality
equation
Set
10. Decreased by
division
subtraction
Commutative Law of Addition
Base of the number system
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.
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
division
Commutative Law of Multiplication
Associative Law of Addition
12. Sixteen less than number Q
its the sum of its digits is divisible by 3
Q-16
Analytic number theory
C or
13. The set of all complex numbers is denoted by
Commutative Law of Addition
C or
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
consecutive whole numbers
14. A curve in the plane
Composite Number
an equation in two variables defines
Forth Axiom of Equality
expression
15. The central problem of Diophantine geometry is to determine when a Diophantine equation has
subtraction
solutions
Analytic number theory
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
16. 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).
Absolute value and argument
Equal
Associative Law of Addition
17. Number T increased by 9
monomial
positive
T+9
division
18. Total
addition
its the sum of its digits is divisible by 3
Prime Factor
Third Axiom of Equality
19. An equation - or system of equations - in two or more variables defines
Numerals
a curve - a surface or some other such object in n-dimensional space
Composite Number
difference
20. 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
In Diophantine geometry
positive
T+9
constructing a parallelogram
21. Product
multiplication
The real number a of the complex number z = a + bi
an equation in two variables defines
(x-12)/40
22. 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
Place Value Concept
magnitude
(x-12)/40
Factor of the given number
23. 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
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
Distributive Law
addition
The real number a of the complex number z = a + bi
24. A number that has no factors except itself and 1 is a
Prime Number
Downward
Odd Number
addition
25. The number touching the variable (in the case of 5x - would be 5)
solutions
In Diophantine geometry
coefficient
Commutative Law of Addition
26. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}
repeated elements
Multiple of the given number
16(5+R)
multiplication
27. Any number that is exactly divisible by a given number is a
the sum of its digits is divisible by 9
equation
Multiple of the given number
To separate a number into prime factors
28. Does not have an equal sign (3x+5) (2a+9b)
order of operations
its the sum of its digits is divisible by 3
Complex numbers
expression
29. 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.
The multiplication of two complex numbers is defined by the following formula:
Commutative Law of Multiplication
Number fields
Third Axiom of Equality
30. One term (5x or 4)
Prime Number
monomial
consecutive whole numbers
Distributive Law
31. If a factor of a number is prime - it is called a
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
magnitude
Prime Factor
Associative Law of Addition
32. 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
magnitude and direction
Equal
The numbers are conventionally plotted using the real part
Multiple of the given number
33. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive
multiplication
upward
16(5+R)
righthand digit is 0 or 5
34. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative
Odd Number
addition
Place Value Concept
Downward
35. The objects or symbols in a set are called Numerals - Lines - or Points
algebraic number
upward
Members of Elements of the Set
(x-12)/40
36. The smallest of four sonsecutive whole numbers - the biggest of which is K+6
addition
7
K+6 - K+5 - K+4 K+3.........answer is K+3
Numerals
37. Increased by
Natural Numbers
In Diophantine geometry
Inversive geometry
addition
38. A number is divisible by 2 if
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.
right-hand digit is even
addition
Even Number
39. The defining characteristic of a position vector is that it has
subtraction
constructing a parallelogram
magnitude and direction
quadratic field
40. Are used to indicate sets
Factor of the given number
Braces
the number formed by the three right-hand digits is divisible by 8
Distributive Law
41. 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
Absolute value and argument
In Diophantine geometry
Place Value Concept
negative
42. 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
variable
even and the sum of its digits is divisible by 3
In Diophantine geometry
the number formed by the two right-hand digits is divisible by 4
43. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
expression
monomial
positive
solutions
44. Remainder
solutions
subtraction
algebraic number
constructing a parallelogram
45. Any number that la a multiple of 2 is an
Set
C or
Even Number
solutions
46. 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.
Associative Law of Addition
Downward
constant
a complex number is real if and only if it equals its conjugate.
47. The Arabic numerals from 0 through 9 are called
Prime Number
addition
Digits
Base of the number system
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
Associative Law of Multiplication
Number fields
Positional notation (place value)
Definition of genus
49. A number is divisible by 9 if
the sum of its digits is divisible by 9
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
The numbers are conventionally plotted using the real part
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
50. More than one term (5x+4 contains two)
polynomial
Composite Number
Odd Number
upward