Test your basic knowledge |

CLEP General Mathematics: Number Systems And Sets

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. An equation - or system of equations - in two or more variables defines
Equal
its the sum of its digits is divisible by 3
constant
a curve - a surface or some other such object in n-dimensional space

2. 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:
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).
subtraction
addition
The real number a of the complex number z = a + bi

3. A number is divisible by 4 if
Associative Law of Addition
the number formed by the two right-hand digits is divisible by 4
Prime Number
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.

4. Sixteen less than number Q
Number fields
Q-16
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
The absolute value (or modulus or magnitude) of a complex number z = x + yi is

5. Remainder
Analytic number theory
Place Value Concept
Number fields
subtraction

6. 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
quadratic field
Commutative Law of Addition
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

7. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

8. Does not have an equal sign (3x+5) (2a+9b)
expression
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
consecutive whole numbers
Commutative Law of Addition

9. In terms of its tools - as the study of the integers by means of tools from real and complex analysis - in terms of its concerns - as the study within number theory of estimates on size and density - as opposed to identities.
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Associative Law of Addition
Prime Number
Analytic number theory

10. The number without a variable (5m+2). In this case - 2
addition
constant
algebraic number
quadratic field

11. First axiom of equality
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.
constant
a complex number is real if and only if it equals its conjugate.
Composite Number

12. A number is divisible by 8 if
an equation in two variables defines
Natural Numbers
polynomial
the number formed by the three right-hand digits is divisible by 8

13. Total
Even Number
Commutative Law of Addition
Complex numbers
addition

14. The numbers which are used for counting in our number system are sometimes called
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Commutative Law of Multiplication
Numerals
Natural Numbers

15. A number is divisible by 3 if
Prime Number
K+6 - K+5 - K+4 K+3.........answer is K+3
its the sum of its digits is divisible by 3
algebraic number

16. Less than
7
Composite Number
even and the sum of its digits is divisible by 3
subtraction

17. Integers greater than zero and less than 5 form a set - as follows:
division
right-hand digit is even
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
Equal

18. One term (5x or 4)
negative
monomial
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
coefficient

19. Product of 16 and the sum of 5 and number R
addition
16(5+R)
K+6 - K+5 - K+4 K+3.........answer is K+3
Prime Number

20. A number that has factors other than itself and 1 is a
addition
Composite Number
consecutive whole numbers
magnitude

21. The set of all complex numbers is denoted by
constant
Forth Axiom of Equality
subtraction
C or

22. 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
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Definition of genus
consecutive whole numbers
variable

23. Sum
addition
F - F+1 - F+2.......answer is F+2
its the sum of its digits is divisible by 3
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. 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.
its the sum of its digits is divisible by 3
Complex numbers
a complex number is real if and only if it equals its conjugate.
subtraction

25. 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.
Associative Law of Addition
solutions
Set
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

26. 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
a complex number is real if and only if it equals its conjugate.
The real number a of the complex number z = a + bi
Natural Numbers

27. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)
expression
addition
an equation in two variables defines
Number fields

28. If a factor of a number is prime - it is called a
consecutive whole numbers
Natural Numbers
Prime Factor
Even Number

29. 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
7
order of operations
To separate a number into prime factors
The multiplication of two complex numbers is defined by the following formula:

30. 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
base-ten number
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
Inversive geometry
addition

31. 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.
magnitude
Commutative Law of Addition
Digits
Inversive geometry

32. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative
Digits
addition
Downward
T+9

33. A number is divisible by 6 if it is
division
To separate a number into prime factors
even and the sum of its digits is divisible by 3
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.

34. 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
Positional notation (place value)
Number fields
Place Value Concept
In Diophantine geometry

35. 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.
The real number a of the complex number z = a + bi
algebraic number
Complex numbers

36. 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
complex number
upward
The real number a of the complex number z = a + bi
magnitude

37. 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.
Second Axiom of Equality
Absolute value and argument
The real number a of the complex number z = a + bi
Algebraic number theory

38. Increased by
addition
a curve - a surface or some other such object in n-dimensional space
(x-12)/40
Digits

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
Positional notation (place value)
negative
Multiple of the given number
monomial

40. A number that has no factors except itself and 1 is a
T+9
Number fields
Prime Number
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.

41. 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.
multiplication
complex number
addition
Forth Axiom of Equality

42. As shown earlier - c - di is the complex conjugate of the denominator c + di.
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
16(5+R)
Prime Number

43. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.
Even Number
Inversive geometry
Second Axiom of Equality
The absolute value (or modulus or magnitude) of a complex number z = x + yi is

44. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
(x-12)/40
rectangular coordinates
subtraction
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.

45. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
positive
the number formed by the two right-hand digits is divisible by 4
counterclockwise through 90
magnitude and direction

46. The objects in a set have at least
one characteristic in common such as similarity of appearance or purpose
In Diophantine geometry
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
rectangular coordinates

47. The relative greatness of positive and negative numbers
magnitude
16(5+R)
Commutative Law of Addition
Prime Factor

48. 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
magnitude
subtraction
Place Value Concept
Associative Law of Multiplication

49. Quotient
complex number
coefficient
Place Value Concept
division

50. Any number that la a multiple of 2 is an
Numerals
Third Axiom of Equality
an equation in two variables defines
Even Number