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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. An equation - or system of equations - in two or more variables defines
a curve - a surface or some other such object in n-dimensional space
T+9
subtraction
repeated elements
2. 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
solutions
rectangular coordinates
Commutative Law of Addition
Absolute value and argument
3. The number without a variable (5m+2). In this case - 2
C or
right-hand digit is even
order of operations
constant
4. Decreased by
repeated elements
Set
division
subtraction
5. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
one characteristic in common such as similarity of appearance or purpose
Equal
16(5+R)
positive
6. The greatest of 3 consecutive whole numbers - the smallest of which is F
Braces
counterclockwise through 90
F - F+1 - F+2.......answer is F+2
a complex number is real if and only if it equals its conjugate.
7. Any number that can be divided lnto a given number without a remainder is a
polynomial
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 Addition
Factor of the given number
8. The numbers which are used for counting in our number system are sometimes called
Natural Numbers
Even Number
coefficient
its the sum of its digits is divisible by 3
9. 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.
Prime Factor
Commutative Law of Addition
Associative Law of Addition
Composite Number
10. 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
(x-12)/40
base-ten number
subtraction
consecutive whole numbers
11. 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.
positive
the number formed by the three right-hand digits is divisible by 8
Associative Law of Addition
Multiple of the given number
12. If a factor of a number is prime - it is called a
Numerals
Commutative Law of Addition
Prime Factor
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
13. Sixteen less than number Q
Prime Factor
Q-16
subtraction
Algebraic number theory
14. Implies a collection or grouping of similar - objects or symbols.
Natural Numbers
right-hand digit is even
Set
Associative Law of Addition
15. 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.
Definition of genus
coefficient
Forth Axiom of Equality
quadratic field
16. The number touching the variable (in the case of 5x - would be 5)
one characteristic in common such as similarity of appearance or purpose
repeated elements
coefficient
subtraction
17. The relative greatness of positive and negative numbers
variable
magnitude
F - F+1 - F+2.......answer is F+2
Third Axiom of Equality
18. More than
Prime Number
The numbers are conventionally plotted using the real part
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
addition
19. A number is divisible by 9 if
even and the sum of its digits is divisible by 3
the genus of the curve
In Diophantine geometry
the sum of its digits is divisible by 9
20. Any number that is not a multiple of 2 is an
Odd Number
repeated elements
The numbers are conventionally plotted using the real part
Base of the number system
21. The central problem of Diophantine geometry is to determine when a Diophantine equation has
solutions
Place Value Concept
Algebraic number theory
The numbers are conventionally plotted using the real part
22. 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
Place Value Concept
Definition of genus
Factor of the given number
(x-12)/40
23. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
subtraction
rectangular coordinates
K+6 - K+5 - K+4 K+3.........answer is K+3
quadratic field
24. 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
subtraction
Complex numbers
Q-16
Place Value Concept
25. The set of all complex numbers is denoted by
C or
The numbers are conventionally plotted using the real part
Definition of genus
base-ten number
26. Addition of two complex numbers can be done geometrically by
magnitude
monomial
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).
constructing a parallelogram
27. No short method has been found for determining whether a number is divisible by
7
upward
To separate a number into prime factors
addition
28. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number
subtraction
even and the sum of its digits is divisible by 3
counterclockwise through 90
a curve - a surface or some other such object in n-dimensional space
29. 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.
multiplication
To separate a number into prime factors
7
Complex numbers
30. A number is divisible by 2 if
right-hand digit is even
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Positional notation (place value)
31. 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
Prime Number
right-hand digit is even
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Positional notation (place value)
32. The Arabic numerals from 0 through 9 are called
negative
Distributive Law
Digits
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
33. In particular - the square of the imaginary unit is -1: The preceding definition of multiplication of general complex numbers follows naturally from this fundamental property of the imaginary unit. Indeed - if i is treated as a number so that di mean
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
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
Second Axiom of Equality
34. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
consecutive whole numbers
Prime Factor
To separate a number into prime factors
Distributive Law
35. A letter tat represents a number that is unknown (usually X or Y)
Base of the number system
variable
repeated elements
In Diophantine geometry
36. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the
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37. Number T increased by 9
base-ten number
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
T+9
Positional notation (place value)
38. 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.
Downward
Algebraic number theory
Analytic number theory
16(5+R)
39. 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
magnitude
algebraic number
Commutative Law of Addition
addition
40. The objects in a set have at least
one characteristic in common such as similarity of appearance or purpose
Associative Law of Multiplication
addition
Natural Numbers
41. Product
Odd Number
coefficient
Braces
multiplication
42. Total
Braces
order of operations
Prime Number
addition
43. 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
Downward
In Diophantine geometry
Definition of genus
expression
44. First axiom of equality
Associative Law of Addition
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.
addition
45. A number is divisible by 5 if its
equation
positive
righthand digit is 0 or 5
subtraction
46. Sum
repeated elements
division
addition
subtraction
47. Subtraction
difference
subtraction
The real number a of the complex number z = a + bi
division
48. A number is divisible by 4 if
the number formed by the two right-hand digits is divisible by 4
Positional notation (place value)
Place Value Concept
Number fields
49. Product of 16 and the sum of 5 and number R
16(5+R)
even and the sum of its digits is divisible by 3
base-ten number
7
50. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}
Complex numbers
In Diophantine geometry
Second Axiom of Equality
repeated elements