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. The base which is most commonly used is ten - and the system with ten as a base is called the decimal system (decem is the Latin word for ten). Any number is assumed - unless indicated - to be a
Third Axiom of Equality
base-ten number
subtraction
coefficient
2. A number is divisible by 4 if
Q-16
the number formed by the two right-hand digits is divisible by 4
Second Axiom of Equality
even and the sum of its digits is divisible by 3
3. Has an equal sign (3x+5 = 14)
division
equation
Braces
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.
4. 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
5. Number T increased by 9
T+9
one characteristic in common such as similarity of appearance or purpose
K+6 - K+5 - K+4 K+3.........answer is K+3
complex number
6. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th
The real number a of the complex number z = a + bi
Definition of genus
Even Number
Base of the number system
7. 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
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Multiple of the given number
In Diophantine geometry
addition
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
multiplication
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
Equal
Commutative Law of Addition
9. Implies a collection or grouping of similar - objects or symbols.
Commutative Law of Multiplication
Set
7
Composite Number
10. The Arabic numerals from 0 through 9 are called
Digits
Braces
Commutative Law of Addition
complex number
11. A letter tat represents a number that is unknown (usually X or Y)
variable
repeated elements
algebraic number
base-ten number
12. 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.
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 Multiplication
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
one characteristic in common such as similarity of appearance or purpose
13. The number touching the variable (in the case of 5x - would be 5)
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).
Associative Law of Multiplication
repeated elements
coefficient
14. A number is divisible by 3 if
the number formed by the three right-hand digits is divisible by 8
its the sum of its digits is divisible by 3
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Braces
15. LAWS FOR COMBINING NUMBERS
Members of Elements of the Set
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
T+9
Set
16. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
Distributive Law
subtraction
one characteristic in common such as similarity of appearance or purpose
17. 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.
even and the sum of its digits is divisible by 3
subtraction
The numbers are conventionally plotted using the real part
right-hand digit is even
18. 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.
The numbers are conventionally plotted using the real part
coefficient
Associative Law of Addition
Members of Elements of the Set
19. The defining characteristic of a position vector is that it has
magnitude and direction
algebraic number
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
Second Axiom of Equality
20. A number is divisible by 6 if it is
subtraction
even and the sum of its digits is divisible by 3
subtraction
(x-12)/40
21. More than one term (5x+4 contains two)
Commutative Law of Addition
Composite Number
Algebraic number theory
polynomial
22. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative
multiplication
one characteristic in common such as similarity of appearance or purpose
difference
Downward
23. 2 -3 -4 -5 -6
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
consecutive whole numbers
the genus of the curve
Odd Number
24. 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
The multiplication of two complex numbers is defined by the following formula:
The real number a of the complex number z = a + bi
In Diophantine geometry
constant
25. Does not have an equal sign (3x+5) (2a+9b)
equation
an equation in two variables defines
The numbers are conventionally plotted using the real part
expression
26. The place value which corresponds to a given position in a number is determined by the
Base of the number system
16(5+R)
The real number a of the complex number z = a + bi
coefficient
27. 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 -
Braces
an equation in two variables defines
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
Commutative Law of Addition
28. Number symbols
base-ten number
right-hand digit is even
Numerals
polynomial
29. Sum
Even Number
The multiplication of two complex numbers is defined by the following formula:
addition
a complex number is real if and only if it equals its conjugate.
30. The greatest of 3 consecutive whole numbers - the smallest of which is F
equation
quadratic field
Positional notation (place value)
F - F+1 - F+2.......answer is F+2
31. 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.
Associative Law of Addition
Commutative Law of Addition
equation
a curve - a surface or some other such object in n-dimensional space
32. Any number that la a multiple of 2 is an
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
Even Number
order of operations
Place Value Concept
33. Any number that is exactly divisible by a given number is a
Composite Number
Q-16
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).
Multiple of the given number
34. A number is divisible by 8 if
negative
the number formed by the three right-hand digits is divisible by 8
subtraction
Digits
35. 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
(x-12)/40
Absolute value and argument
36. Decreased by
Associative Law of Multiplication
Complex numbers
subtraction
quadratic field
37. More than
quadratic field
magnitude
Even Number
addition
38. A number is divisible by 5 if its
Associative Law of Addition
right-hand digit is even
rectangular coordinates
righthand digit is 0 or 5
39. The objects in a set have at least
division
algebraic number
Braces
one characteristic in common such as similarity of appearance or purpose
40. Quotient
monomial
division
The numbers are conventionally plotted using the real part
equation
41. 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.
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).
Downward
algebraic number
42. Remainder
the number formed by the two right-hand digits is divisible by 4
Prime Number
complex number
subtraction
43. 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:
Even Number
F - F+1 - F+2.......answer is F+2
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).
multiplication
44. A curve in the plane
Positional notation (place value)
an equation in two variables defines
the number formed by the two right-hand digits is divisible by 4
addition
45. If a factor of a number is prime - it is called a
Prime Factor
Associative Law of Addition
7
subtraction
46. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.
counterclockwise through 90
Base of the number system
Inversive geometry
The multiplication of two complex numbers is defined by the following formula:
47. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}
right-hand digit is even
repeated elements
Absolute value and argument
Braces
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.
the number formed by the two right-hand digits is divisible by 4
Definition of genus
Associative Law of Addition
magnitude
49. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
rectangular coordinates
multiplication
Commutative Law of Multiplication
subtraction
50. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
To separate a number into prime factors
division
consecutive whole numbers
negative