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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. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
difference
Inversive geometry
algebraic number
2. The smallest of four sonsecutive whole numbers - the biggest of which is K+6
algebraic number
order of operations
K+6 - K+5 - K+4 K+3.........answer is K+3
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
3. The finiteness or not of the number of rational or integer points on an algebraic curve
Prime Number
the genus of the curve
addition
polynomial
4. A curve in the plane
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
the sum of its digits is divisible by 9
a complex number is real if and only if it equals its conjugate.
an equation in two variables defines
5. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number
addition
its the sum of its digits is divisible by 3
Base of the number system
counterclockwise through 90
6. 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
Commutative Law of Addition
positive
Multiple of the given number
7. A number is divisible by 9 if
Members of Elements of the Set
Base of the number system
the sum of its digits is divisible by 9
positive
8. A number is divisible by 8 if
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
the number formed by the three right-hand digits is divisible by 8
constructing a parallelogram
(x-12)/40
9. More than one term (5x+4 contains two)
counterclockwise through 90
addition
The multiplication of two complex numbers is defined by the following formula:
polynomial
10. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative
Distributive Law
Downward
constructing a parallelogram
even and the sum of its digits is divisible by 3
11. 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
an equation in two variables defines
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
Absolute value and argument
12. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
positive
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
difference
even and the sum of its digits is divisible by 3
13. Decreased by
Prime Number
Positional notation (place value)
Absolute value and argument
subtraction
14. If the same quantity is subtracted from each of two equal quantities - the resulting quantities are equal. If equals are subtracted from equals - the results are equal.
Associative Law of Addition
upward
magnitude
Second Axiom of Equality
15. No short method has been found for determining whether a number is divisible by
difference
Set
negative
7
16. 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.
a complex number is real if and only if it equals its conjugate.
Prime Number
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
Complex numbers
17. The objects or symbols in a set are called Numerals - Lines - or Points
T+9
(x-12)/40
Members of Elements of the Set
expression
18. A number is divisible by 6 if it is
even and the sum of its digits is divisible by 3
addition
Commutative Law of Addition
The multiplication of two complex numbers is defined by the following formula:
19. Number symbols
Numerals
The numbers are conventionally plotted using the real part
Inversive geometry
Prime Factor
20. Any number that la a multiple of 2 is an
Even Number
In Diophantine geometry
Inversive geometry
Numerals
21. 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.
Forth Axiom of Equality
K+6 - K+5 - K+4 K+3.........answer is K+3
the number formed by the two right-hand digits is divisible by 4
7
22. The Arabic numerals from 0 through 9 are called
Absolute value and argument
Digits
The real number a of the complex number z = a + bi
magnitude and direction
23. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
the genus of the curve
algebraic number
constructing a parallelogram
Distributive Law
24. Less than
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
addition
a complex number is real if and only if it equals its conjugate.
subtraction
25. 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.
F - F+1 - F+2.......answer is F+2
In Diophantine geometry
addition
26. Any number that is not a multiple of 2 is an
Prime Number
Prime Factor
Odd Number
negative
27. 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.
(x-12)/40
magnitude and direction
The numbers are conventionally plotted using the real part
Absolute value and argument
28. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
Commutative Law of Addition
negative
F - F+1 - F+2.......answer is F+2
Natural Numbers
29. Sixteen less than number Q
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
Q-16
Algebraic number theory
a curve - a surface or some other such object in n-dimensional space
30. The objects in a set have at least
polynomial
Composite Number
the genus of the curve
one characteristic in common such as similarity of appearance or purpose
31. One term (5x or 4)
Definition of genus
multiplication
monomial
polynomial
32. The number touching the variable (in the case of 5x - would be 5)
Commutative Law of Multiplication
subtraction
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
coefficient
33. Addition of two complex numbers can be done geometrically by
variable
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
constructing a parallelogram
Place Value Concept
34. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
a curve - a surface or some other such object in n-dimensional space
Associative Law of Addition
Prime Factor
rectangular coordinates
35. Has an equal sign (3x+5 = 14)
one characteristic in common such as similarity of appearance or purpose
equation
F - F+1 - F+2.......answer is F+2
Associative Law of Addition
36. 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 -
Complex numbers
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
an equation in two variables defines
expression
37. 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 number formed by the two right-hand digits is divisible by 4
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
In Diophantine geometry
The numbers are conventionally plotted using the real part
38. First axiom of equality
order of operations
Set
rectangular coordinates
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.
39. 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
Complex numbers
righthand digit is 0 or 5
Positional notation (place value)
monomial
40. A number that has factors other than itself and 1 is a
Numerals
repeated elements
Commutative Law of Addition
Composite Number
41. 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
order of operations
The numbers are conventionally plotted using the real part
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
42. Increased by
repeated elements
T+9
addition
Even Number
43. 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
consecutive whole numbers
magnitude
polynomial
44. 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
a complex number is real if and only if it equals its conjugate.
right-hand digit is even
Digits
Place Value Concept
45. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract
Inversive geometry
order of operations
In Diophantine geometry
Commutative Law of Multiplication
46. The number without a variable (5m+2). In this case - 2
Commutative Law of Addition
Prime Number
constant
Natural Numbers
47. Does not have an equal sign (3x+5) (2a+9b)
even and the sum of its digits is divisible by 3
Set
expression
positive
48. More than
Braces
addition
Place Value Concept
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
49. Product of 16 and the sum of 5 and number R
Associative Law of Multiplication
16(5+R)
addition
Multiple of the given number
50. 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
addition
Prime Factor
expression
The real number a of the complex number z = a + bi