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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. Total
addition
Commutative Law of Addition
Analytic number theory
equation
2. Any number that la a multiple of 2 is an
repeated elements
Even Number
Associative Law of Multiplication
K+6 - K+5 - K+4 K+3.........answer is K+3
3. A number is divisible by 2 if
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).
difference
the number formed by the two right-hand digits is divisible by 4
right-hand digit is even
4. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number
rectangular coordinates
addition
counterclockwise through 90
the sum of its digits is divisible by 9
5. Remainder
solutions
Distributive Law
In Diophantine geometry
subtraction
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.
Absolute value and argument
addition
Commutative Law of Addition
Prime Factor
7. 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.
Place Value Concept
Forth Axiom of Equality
Commutative Law of Addition
Associative Law of Addition
8. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative
Base of the number system
Number fields
Downward
Prime Factor
9. First axiom of equality
quadratic field
Associative Law of Addition
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.
rectangular coordinates
10. Integers greater than zero and less than 5 form a set - as follows:
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
In Diophantine geometry
counterclockwise through 90
Factor of the given number
11. The number touching the variable (in the case of 5x - would be 5)
magnitude and direction
Complex numbers
order of operations
coefficient
12. Increased by
Commutative Law of Multiplication
Algebraic number theory
addition
solutions
13. The set of all complex numbers is denoted by
Third Axiom of Equality
division
C or
multiplication
14. 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.
Braces
a curve - a surface or some other such object in n-dimensional space
The numbers are conventionally plotted using the real part
complex number
15. 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:
algebraic number
division
magnitude and direction
16. The greatest of 3 consecutive whole numbers - the smallest of which is F
Base of the number system
one characteristic in common such as similarity of appearance or purpose
the sum of its digits is divisible by 9
F - F+1 - F+2.......answer is F+2
17. A curve in the plane
upward
Factor of the given number
an equation in two variables defines
addition
18. The central problem of Diophantine geometry is to determine when a Diophantine equation has
To separate a number into prime factors
solutions
The numbers are conventionally plotted using the real part
the number formed by the three right-hand digits is divisible by 8
19. Any number that is exactly divisible by a given number is a
Digits
Multiple of the given number
Distributive Law
constructing a parallelogram
20. The number without a variable (5m+2). In this case - 2
repeated elements
one characteristic in common such as similarity of appearance or purpose
positive
constant
21. 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.
Algebraic number theory
Complex numbers
coefficient
Multiple of the given number
22. A number is divisible by 9 if
the sum of its digits is divisible by 9
(x-12)/40
multiplication
16(5+R)
23. 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
polynomial
Composite Number
base-ten number
To separate a number into prime factors
24. Sum
addition
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
repeated elements
Numerals
25. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -
right-hand digit is even
Complex numbers
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Numerals
26. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive
Third Axiom of Equality
upward
Absolute value and argument
Commutative Law of Multiplication
27. An equation - or system of equations - in two or more variables defines
coefficient
Braces
a curve - a surface or some other such object in n-dimensional space
16(5+R)
28. The objects in a set have at least
polynomial
one characteristic in common such as similarity of appearance or purpose
addition
Inversive geometry
29. Product
Number fields
multiplication
Associative Law of Addition
complex number
30. A number is divisible by 8 if
magnitude and direction
Base of the number system
consecutive whole numbers
the number formed by the three right-hand digits is divisible by 8
31. As shown earlier - c - di is the complex conjugate of the denominator c + di.
T+9
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
monomial
a curve - a surface or some other such object in n-dimensional space
32. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
subtraction
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.
Analytic number theory
33. A number is divisible by 6 if it is
Second Axiom of Equality
algebraic number
even and the sum of its digits is divisible by 3
Associative Law of Multiplication
34. If a factor of a number is prime - it is called a
Members of Elements of the Set
Prime Factor
addition
base-ten number
35. A number that has factors other than itself and 1 is a
solutions
rectangular coordinates
Composite Number
Place Value Concept
36. 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.
In Diophantine geometry
quadratic field
The real number a of the complex number z = a + bi
Commutative Law of Addition
37. 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.
upward
Forth Axiom of Equality
Equal
Second Axiom of Equality
38. Quotient
division
Absolute value and argument
equation
addition
39. Number X decreased by 12 divided by forty
The numbers are conventionally plotted using the real part
In Diophantine geometry
Second Axiom of Equality
(x-12)/40
40. 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.)
its the sum of its digits is divisible by 3
Number fields
Definition of genus
Commutative Law of Addition
41. 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.
Commutative Law of Addition
Number fields
quadratic field
(x-12)/40
42. 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.
consecutive whole numbers
Factor of the given number
Prime Factor
Commutative Law of Multiplication
43. 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
Digits
rectangular coordinates
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.
44. Has an equal sign (3x+5 = 14)
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).
equation
F - F+1 - F+2.......answer is F+2
45. The Arabic numerals from 0 through 9 are called
Digits
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.
subtraction
C or
46. The smallest of four sonsecutive whole numbers - the biggest of which is K+6
Members of Elements of the Set
K+6 - K+5 - K+4 K+3.........answer is K+3
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).
Number fields
47. More than
In Diophantine geometry
multiplication
Prime Number
addition
48. One term (5x or 4)
monomial
complex number
equation
Analytic number theory
49. 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
an equation in two variables defines
In Diophantine geometry
counterclockwise through 90
upward
50. The real and imaginary parts of a complex number can be extracted using the conjugate:
algebraic number
Complex numbers
a complex number is real if and only if it equals its conjugate.
K+6 - K+5 - K+4 K+3.........answer is K+3