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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. Sixteen less than number Q
variable
Q-16
constructing a parallelogram
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
2. Any number that la a multiple of 2 is an
Analytic number theory
Odd Number
its the sum of its digits is divisible by 3
Even Number
3. Does not have an equal sign (3x+5) (2a+9b)
Distributive Law
expression
Complex numbers
Inversive geometry
4. A number is divisible by 2 if
right-hand digit is even
To separate a number into prime factors
Natural Numbers
Complex numbers
5. 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
division
Place Value Concept
Equal
algebraic number
6. Sum
Natural Numbers
addition
its the sum of its digits is divisible by 3
the sum of its digits is divisible by 9
7. The finiteness or not of the number of rational or integer points on an algebraic curve
Q-16
Prime Number
a curve - a surface or some other such object in n-dimensional space
the genus of the curve
8. The set of all complex numbers is denoted by
even and the sum of its digits is divisible by 3
addition
C or
the sum of its digits is divisible by 9
9. A number is divisible by 6 if it is
Definition of genus
Natural Numbers
subtraction
even and the sum of its digits is divisible by 3
10. More than
Definition of genus
the sum of its digits is divisible by 9
difference
addition
11. No short method has been found for determining whether a number is divisible by
7
Analytic number theory
even and the sum of its digits is divisible by 3
counterclockwise through 90
12. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
an equation in two variables defines
one characteristic in common such as similarity of appearance or purpose
a complex number is real if and only if it equals its conjugate.
negative
13. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -
7
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}
14. The smallest of four sonsecutive whole numbers - the biggest of which is K+6
Number fields
In Diophantine geometry
algebraic number
K+6 - K+5 - K+4 K+3.........answer is K+3
15. 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.
Number fields
Associative Law of Addition
In Diophantine geometry
Q-16
16. The place value which corresponds to a given position in a number is determined by the
Members of Elements of the Set
Base of the number system
7
base-ten number
17. 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
Braces
Associative Law of Addition
complex number
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
18. A number that has no factors except itself and 1 is a
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Even Number
Prime Number
7
19. One term (5x or 4)
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
T+9
monomial
equation
20. More than one term (5x+4 contains two)
expression
constant
Commutative Law of Addition
polynomial
21. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
quadratic field
magnitude and direction
variable
rectangular coordinates
22. A number is divisible by 8 if
the number formed by the three right-hand digits is divisible by 8
negative
Algebraic number theory
Third Axiom of Equality
23. The Arabic numerals from 0 through 9 are called
base-ten number
Digits
negative
polynomial
24. Any number that is not a multiple of 2 is an
a complex number is real if and only if it equals its conjugate.
monomial
Odd Number
addition
25. Product
multiplication
Equal
magnitude
addition
26. A number that has factors other than itself and 1 is a
Multiple of the given number
Composite Number
Set
Inversive geometry
27. Are used to indicate sets
The multiplication of two complex numbers is defined by the following formula:
Downward
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Braces
28. 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.
Third Axiom of Equality
addition
Numerals
Associative Law of Addition
29. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
Associative Law of Addition
Distributive Law
monomial
right-hand digit is even
30. A curve in the plane
negative
an equation in two variables defines
Complex numbers
Place Value Concept
31. 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.
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
Multiple of the given number
Associative Law of Addition
Braces
32. Addition of two complex numbers can be done geometrically by
Downward
repeated elements
Set
constructing a parallelogram
33. A number is divisible by 3 if
Absolute value and argument
polynomial
Definition of genus
its the sum of its digits is divisible by 3
34. 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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35. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative
rectangular coordinates
addition
In Diophantine geometry
Downward
36. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number
counterclockwise through 90
consecutive whole numbers
equation
16(5+R)
37. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}
polynomial
Number fields
The numbers are conventionally plotted using the real part
repeated elements
38. The defining characteristic of a position vector is that it has
magnitude and direction
Forth Axiom of Equality
Prime Number
The real number a of the complex number z = a + bi
39. Decreased by
Place Value Concept
an equation in two variables defines
subtraction
Associative Law of Addition
40. 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
Members of Elements of the Set
difference
the number formed by the three right-hand digits is divisible by 8
41. 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 absolute value (or modulus or magnitude) of a complex number z = x + yi is
magnitude and direction
Downward
Numerals
42. 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.
its the sum of its digits is divisible by 3
To separate a number into prime factors
Place Value Concept
Commutative Law of Addition
43. 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.
addition
Inversive geometry
counterclockwise through 90
44. The real and imaginary parts of a complex number can be extracted using the conjugate:
a complex number is real if and only if it equals its conjugate.
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
addition
addition
45. A letter tat represents a number that is unknown (usually X or Y)
difference
Odd Number
polynomial
variable
46. As shown earlier - c - di is the complex conjugate of the denominator c + di.
Third Axiom of Equality
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.
one characteristic in common such as similarity of appearance or purpose
47. Studies algebraic properties and algebraic objects of interest in number theory. (Thus - analytic and algebraic number theory can and do overlap: the former is defined by its methods - the latter by its objects of study.) A key topic is that of the a
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.
Definition of genus
Algebraic number theory
division
48. The number without a variable (5m+2). In this case - 2
constant
K+6 - K+5 - K+4 K+3.........answer is K+3
Digits
Base of the number system
49. Number T increased by 9
Distributive Law
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
Second Axiom of Equality
T+9
50. 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.
Place Value Concept
Distributive Law
Forth Axiom of Equality
16(5+R)