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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. 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.
upward
Natural Numbers
base-ten number
Associative Law of Addition

2. The numbers which are used for counting in our number system are sometimes called
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
Natural Numbers
constructing a parallelogram
Composite Number

3. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -
solutions
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
base-ten number
repeated elements

4. The set of all complex numbers is denoted by
C or
algebraic number
Associative Law of Addition
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).

5. Number symbols
quadratic field
Numerals
Inversive geometry
Downward

6. More than
16(5+R)
addition
Associative Law of Addition
7

7. Does not have an equal sign (3x+5) (2a+9b)
its the sum of its digits is divisible by 3
variable
Second Axiom of Equality
expression

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
F - F+1 - F+2.......answer is F+2
Absolute value and argument
counterclockwise through 90
base-ten number

9. Less than
Numerals
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).
Absolute value and argument
subtraction

10. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number
complex number
Associative Law of Multiplication
counterclockwise through 90
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.

11. 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.
right-hand digit is even
The multiplication of two complex numbers is defined by the following formula:
In Diophantine geometry
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

12. One term (5x or 4)
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
multiplication
Odd Number
monomial

13. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
equation
Prime Factor
Inversive geometry
negative

14. 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.
coefficient
Forth Axiom of Equality
rectangular coordinates
Odd Number

15. 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.
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
difference
16(5+R)
Associative Law of Addition

16. The number without a variable (5m+2). In this case - 2
K+6 - K+5 - K+4 K+3.........answer is K+3
the genus of the curve
difference
constant

17. Quotient
the number formed by the three right-hand digits is divisible by 8
expression
division
Prime Number

18. First axiom of equality
Absolute value and argument
Composite 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.
right-hand digit is even

19. These are emphasised in a complex number's polar form and it turns out notably that the operations of addition and multiplication take on a very natural geometric character when complex numbers are viewed as position vectors:
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
addition
counterclockwise through 90
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).

20. Decreased by
coefficient
division
subtraction
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.

21. The finiteness or not of the number of rational or integer points on an algebraic curve
quadratic field
upward
the genus of the curve
algebraic number

22. Number X decreased by 12 divided by forty
an equation in two variables defines
monomial
addition
(x-12)/40

23. Number T increased by 9
magnitude and direction
T+9
Definition of genus
negative

24. More than one term (5x+4 contains two)
algebraic number
quadratic field
Equal
polynomial

25. 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
right-hand digit is even
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
In Diophantine geometry
upward

26. 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 real number a of the complex number z = a + bi
In Diophantine geometry
subtraction
The numbers are conventionally plotted using the real part

27. Product of 16 and the sum of 5 and number R
16(5+R)
equation
subtraction
Equal

28. 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
Base of the number system
C or
base-ten number
To separate a number into prime factors

29. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract
Prime Number
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
order of operations
Analytic number theory

30. Any number that is exactly divisible by a given number is a
Multiple of the given number
positive
subtraction
Q-16

31. A number is divisible by 2 if
right-hand digit is even
T+9
In Diophantine geometry
constant

32. 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
Even Number
16(5+R)
Set

33. A number that has factors other than itself and 1 is a
Distributive Law
Composite Number
subtraction
the genus of the curve

34. A number is divisible by 4 if
Second Axiom of Equality
Factor of the given number
the number formed by the two right-hand digits is divisible by 4
Analytic number theory

35. The central problem of Diophantine geometry is to determine when a Diophantine equation has
the genus of the curve
Commutative Law of Multiplication
solutions
coefficient

36. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
Braces
positive
Distributive Law
To separate a number into prime factors

37. Implies a collection or grouping of similar - objects or symbols.
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
Algebraic number theory
Associative Law of Addition
Set

38. The relative greatness of positive and negative numbers
magnitude
positive
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.
Inversive geometry

39. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
Associative Law of Multiplication
magnitude and direction
polynomial
positive

40. A number is divisible by 6 if it is
Number fields
The multiplication of two complex numbers is defined by the following formula:
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).
even and the sum of its digits is divisible by 3

41. The objects or symbols in a set are called Numerals - Lines - or Points
Downward
C or
Members of Elements of the Set
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

42. Has an equal sign (3x+5 = 14)
(x-12)/40
one characteristic in common such as similarity of appearance or purpose
equation
7

43. An equation - or system of equations - in two or more variables defines
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
a curve - a surface or some other such object in n-dimensional space
complex number
addition

44. 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
Definition of genus
In Diophantine geometry
Distributive Law
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}

45. Are used to indicate sets
Braces
Multiple of the given number
Forth Axiom of Equality
expression

46. Remainder
subtraction
an equation in two variables defines
Factor of the given number
Number fields

47. A number is divisible by 8 if
counterclockwise through 90
C or
the number formed by the three right-hand digits is divisible by 8
Algebraic number theory

48. 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
algebraic number
the number formed by the two right-hand digits is divisible by 4
Number fields
Equal

49. The objects in a set have at least
one characteristic in common such as similarity of appearance or purpose
quadratic field
The real number a of the complex number z = a + bi
In Diophantine geometry

50. Plus
Positional notation (place value)
addition
its the sum of its digits is divisible by 3
base-ten number