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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.
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. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract
order of operations
polynomial
one characteristic in common such as similarity of appearance or purpose
even and the sum of its digits is divisible by 3

2. If a factor of a number is prime - it is called a
Prime Factor
Odd Number
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

3. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
negative
Place Value Concept
the genus of the curve
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.

4. 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.
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 numbers are conventionally plotted using the real part
The multiplication of two complex numbers is defined by the following formula:
Downward

5. Any number that is not a multiple of 2 is an
upward
The real number a of the complex number z = a + bi
magnitude and direction
Odd Number

6. Product of 16 and the sum of 5 and number R
16(5+R)
coefficient
solutions
subtraction

7. 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.
In Diophantine geometry
K+6 - K+5 - K+4 K+3.........answer is K+3
Commutative Law of Addition
Numerals

8. 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
subtraction
addition
a complex number is real if and only if it equals its conjugate.
base-ten number

9. 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
magnitude
Absolute value and argument
To separate a number into prime factors
subtraction

10. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
Distributive Law
Place Value Concept
subtraction
T+9

11. The numbers which are used for counting in our number system are sometimes called
Factor of the given number
Natural Numbers
Odd Number
Even Number

12. Product
In Diophantine geometry
the number formed by the three right-hand digits is divisible by 8
The real number a of the complex number z = a + bi
multiplication

13. The set of all complex numbers is denoted by
Equal
C or
addition
Positional notation (place value)

14. This law states that the product of three or more factors is the same regardless of the manner in which they are grouped. Negative signs require no special treatment in the application of this law.
Factor of the given number
K+6 - K+5 - K+4 K+3.........answer is K+3
Associative Law of Multiplication
a complex number is real if and only if it equals its conjugate.

15. The finiteness or not of the number of rational or integer points on an algebraic curve
the genus of the curve
the number formed by the two right-hand digits is divisible by 4
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.

16. Implies a collection or grouping of similar - objects or symbols.
Even Number
a curve - a surface or some other such object in n-dimensional space
Set
Definition of genus

17. Number X decreased by 12 divided by forty
righthand digit is 0 or 5
Prime Factor
(x-12)/40
addition

18. No short method has been found for determining whether a number is divisible by
Odd Number
7
right-hand digit is even
equation

19. 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.
equation
Braces
Associative Law of Addition
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.

20. A number is divisible by 5 if its
magnitude and direction
righthand digit is 0 or 5
Commutative Law of Multiplication
Forth Axiom of Equality

21. More than
righthand digit is 0 or 5
F - F+1 - F+2.......answer is F+2
addition
Forth Axiom of Equality

22. Number symbols
Numerals
Odd Number
constant
counterclockwise through 90

23. 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.
Commutative Law of Multiplication
an equation in two variables defines
Associative Law of Addition
complex number

24. A number is divisible by 4 if
The multiplication of two complex numbers is defined by the following formula:
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
the number formed by the two right-hand digits is divisible by 4
Number fields

25. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
Algebraic number theory
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).
rectangular coordinates
difference

26. 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.
righthand digit is 0 or 5
magnitude and direction
quadratic field
order of operations

27. 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
Third Axiom of Equality
7
Absolute value and argument
Composite Number

28. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -
Associative Law of Multiplication
Set
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Number fields

29. The central problem of Diophantine geometry is to determine when a Diophantine equation has
7
solutions
the number formed by the three right-hand digits is divisible by 8
subtraction

30. 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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31. Integers greater than zero and less than 5 form a set - as follows:
16(5+R)
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
Downward
subtraction

32. Number T increased by 9
In Diophantine geometry
polynomial
T+9
order of operations

33. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive
constructing a parallelogram
Commutative Law of Multiplication
addition
upward

34. The relative greatness of positive and negative numbers
K+6 - K+5 - K+4 K+3.........answer is K+3
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
(x-12)/40
magnitude

35. Quotient
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
polynomial
Absolute value and argument
division

36. Any number that can be divided lnto a given number without a remainder is a
subtraction
addition
Factor of the given number
To separate a number into prime factors

37. 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.
complex number
Factor of the given number
subtraction
Associative Law of Addition

38. A number is divisible by 3 if
constructing a parallelogram
its the sum of its digits is divisible by 3
Members of Elements of the Set
an equation in two variables defines

39. A number is divisible by 6 if it is
K+6 - K+5 - K+4 K+3.........answer is K+3
even and the sum of its digits is divisible by 3
The numbers are conventionally plotted using the real part
Commutative Law of Multiplication

40. The defining characteristic of a position vector is that it has
Digits
Place Value Concept
K+6 - K+5 - K+4 K+3.........answer is K+3
magnitude and direction

41. 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
Complex numbers
In Diophantine geometry
Associative Law of Addition
its the sum of its digits is divisible by 3

42. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number
the number formed by the three right-hand digits is divisible by 8
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).
counterclockwise through 90
Commutative Law of Addition

43. Plus
Algebraic number theory
magnitude and direction
addition
7

44. More than one term (5x+4 contains two)
Positional notation (place value)
quadratic field
polynomial
difference

45. Does not have an equal sign (3x+5) (2a+9b)
consecutive whole numbers
Number fields
Q-16
expression

46. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.
upward
In Diophantine geometry
To separate a number into prime factors
Inversive geometry

47. Addition of two complex numbers can be done geometrically by
constructing a parallelogram
monomial
Composite Number
(x-12)/40

48. As shown earlier - c - di is the complex conjugate of the denominator c + di.
subtraction
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.
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).

49. 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 multiplication of two complex numbers is defined by the following formula:
negative
positive
addition

50. One term (5x or 4)
monomial
In Diophantine geometry
algebraic number
The absolute value (or modulus or magnitude) of a complex number z = x + yi is