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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
variable
16(5+R)
coefficient
negative

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
addition
Odd Number
Absolute value and argument
addition

3. 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.
Natural Numbers
multiplication
Associative Law of Addition
In Diophantine geometry

4. Implies a collection or grouping of similar - objects or symbols.
Set
consecutive whole numbers
Number fields
Composite Number

5. Total
solutions
K+6 - K+5 - K+4 K+3.........answer is K+3
addition
upward

6. 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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7. A number is divisible by 6 if it is
Distributive Law
even and the sum of its digits is divisible by 3
a complex number is real if and only if it equals its conjugate.
The numbers are conventionally plotted using the real part

8. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
complex number
Multiple of the given number
rectangular coordinates
the number formed by the three right-hand digits is divisible by 8

9. A number that has factors other than itself and 1 is a
Prime Number
Place Value Concept
Composite Number
the sum of its digits is divisible by 9

10. 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
Odd Number
Third Axiom of Equality
algebraic number
addition

11. More than
repeated elements
Absolute value and argument
monomial
addition

12. Are used to indicate sets
Braces
constant
addition
F - F+1 - F+2.......answer is F+2

13. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive
subtraction
upward
Complex numbers
C or

14. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.
Distributive Law
base-ten number
16(5+R)
Inversive geometry

15. Number T increased by 9
Definition of genus
16(5+R)
T+9
Downward

16. More than one term (5x+4 contains two)
complex number
polynomial
expression
right-hand digit is even

17. Has an equal sign (3x+5 = 14)
equation
Definition of genus
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
Digits

18. The place value which corresponds to a given position in a number is determined by the
Base of the number system
Third Axiom of Equality
even and the sum of its digits is divisible by 3
quadratic field

19. The objects in a set have at least
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
the number formed by the two right-hand digits is divisible by 4
one characteristic in common such as similarity of appearance or purpose
Set

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
Second Axiom of Equality
right-hand digit is even
In Diophantine geometry
expression

21. Begin by taking out the smallest factor If the number is even - take out all the 2's first - then try 3 as a factor
F - F+1 - F+2.......answer is F+2
Complex numbers
addition
To separate a number into prime factors

22. A letter tat represents a number that is unknown (usually X or Y)
variable
Odd Number
Second Axiom of Equality
addition

23. First axiom of equality
Definition of genus
consecutive whole numbers
Q-16
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.

24. A curve in the plane
addition
an equation in two variables defines
K+6 - K+5 - K+4 K+3.........answer is K+3
subtraction

25. A number is divisible by 8 if
Multiple of the given number
the number formed by the three right-hand digits is divisible by 8
quadratic field
Set

26. Sum
a curve - a surface or some other such object in n-dimensional space
addition
Composite Number
multiplication

27. Remainder
a complex number is real if and only if it equals its conjugate.
magnitude and direction
Associative Law of Multiplication
subtraction

28. A number is divisible by 2 if
subtraction
Digits
right-hand digit is even
division

29. 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.
righthand digit is 0 or 5
Odd Number
Second Axiom of Equality
complex number

30. A number is divisible by 5 if its
Multiple of the given number
Inversive geometry
righthand digit is 0 or 5
one characteristic in common such as similarity of appearance or purpose

31. If a factor of a number is prime - it is called a
Members of Elements of the Set
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
Prime Factor
7

32. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
Associative Law of Addition
Prime Number
righthand digit is 0 or 5
positive

33. The relative greatness of positive and negative numbers
subtraction
magnitude
base-ten number
magnitude and direction

34. Any number that can be divided lnto a given number without a remainder is a
monomial
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
Factor of the given number
quadratic field

35. 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.
Commutative Law of Addition
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
The multiplication of two complex numbers is defined by the following formula:
base-ten number

36. 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
F - F+1 - F+2.......answer is F+2
Base of the number system
base-ten number
constructing a parallelogram

37. Quotient
algebraic number
division
The numbers are conventionally plotted using the real part
multiplication

38. 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.
The numbers are conventionally plotted using the real part
the genus of the curve
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.
the sum of its digits is divisible by 9

39. Plus
Composite Number
Prime Factor
addition
order of operations

40. An equation - or system of equations - in two or more variables defines
To separate a number into prime factors
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).
a curve - a surface or some other such object in n-dimensional space
Odd Number

41. 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.
Positional notation (place value)
division
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
equation

42. The defining characteristic of a position vector is that it has
magnitude and direction
quadratic field
base-ten number
The numbers are conventionally plotted using the real part

43. Consists of all numbers of the form - where a and b are rational numbers and d is a fixed rational number whose square root is not rational.
Odd Number
Multiple of the given number
constructing a parallelogram
quadratic field

44. A number is divisible by 4 if
Downward
the number formed by the two right-hand digits is divisible by 4
The real number a of the complex number z = a + bi
Composite Number

45. Addition of two complex numbers can be done geometrically by
magnitude
even and the sum of its digits is divisible by 3
constructing a parallelogram
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

46. 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.
Absolute value and argument
Distributive Law
Natural Numbers

47. The numbers which are used for counting in our number system are sometimes called
the number formed by the two right-hand digits is divisible by 4
magnitude
base-ten number
Natural Numbers

48. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}
order of operations
Commutative Law of Multiplication
repeated elements
constant

49. Product of 16 and the sum of 5 and number R
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
Associative Law of Addition
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
16(5+R)

50. No short method has been found for determining whether a number is divisible by
Inversive geometry
Number fields
7
Factor of the given number