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Test your basic knowledge |
CLEP College Algebra: Algebra Principles
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Study First
Subjects
:
clep
,
math
,
algebra
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. Symbols that denote numbers - is to allow the making of generalizations in mathematics
The purpose of using variables
Rotations
Reunion of broken parts
identity element of addition
2. The values combined are called
A linear equation
operands - arguments - or inputs
The relation of equality (=)
Pure mathematics
3. Is called the type or arity of the operation
when b > 0
Change of variables
the fixed non-negative integer k (the number of arguments)
finitary operation
4. If a = b and b = c then a = c
nonnegative numbers
Unary operations
transitive
finitary operation
5. An operation of arity zero is simply an element of the codomain Y - called a
Operations can involve dissimilar objects
Properties of equality
(k+1)-ary relation that is functional on its first k domains
nullary operation
6. b = b
Universal algebra
reflexive
the fixed non-negative integer k (the number of arguments)
system of linear equations
7. Is an algebraic 'sentence' containing an unknown quantity.
Polynomials
Equations
Constants
radical equation
8. () is the branch of mathematics concerning the study of the rules of operations and relations - and the constructions and concepts arising from them - including terms - polynomials - equations and algebraic structures.
A integral equation
Algebraic equation
Algebra
Multiplication
9. Is an equation of the form aX = b for a > 0 - which has solution
A differential equation
exponential equation
Universal algebra
Change of variables
10. Can be combined using logic operations - such as and - or - and not.
Expressions
The logical values true and false
Equation Solving
the fixed non-negative integer k (the number of arguments)
11. Is an equation involving a transcendental function of one of its variables.
Variables
A transcendental equation
exponential equation
The sets Xk
12. Is an equation where the unknowns are required to be integers.
value - result - or output
A Diophantine equation
Expressions
has arity one
13. (a
Associative law of Multiplication
A linear equation
A solution or root of the equation
then bc < ac
14. Not commutative a^b?b^a
nonnegative numbers
commutative law of Exponentiation
(k+1)-ary relation that is functional on its first k domains
Associative law of Exponentiation
15. The inner product operation on two vectors produces a
Binary operations
nonnegative numbers
scalar
commutative law of Multiplication
16. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po
unary and binary
operands - arguments - or inputs
Elimination method
Algebraic combinatorics
17. Is an equation involving integrals.
A transcendental equation
A integral equation
then a < c
Conditional equations
18. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).
exponential equation
Identity element of Multiplication
Algebraic equation
operation
19. Can be combined using the function composition operation - performing the first rotation and then the second.
Rotations
An operation ?
The operation of exponentiation
Algebra
20. In an equation with a single unknown - a value of that unknown for which the equation is true is called
A functional equation
inverse operation of Multiplication
A solution or root of the equation
system of linear equations
21. 0 - which preserves numbers: a + 0 = a
identity element of addition
then a + c < b + d
the set Y
associative law of addition
22. Is an equation of the form X^m/n = a - for m - n integers - which has solution
Elementary algebra
The relation of inequality (<) has this property
Vectors
radical equation
23. Is an action or procedure which produces a new value from one or more input values.
commutative law of Multiplication
Elementary algebra
an operation
Linear algebra
24. If it holds for all a and b in X that if a is related to b then b is related to a.
Identities
A binary relation R over a set X is symmetric
The relation of equality (=)'s property
Equation Solving
25. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of
Multiplication
commutative law of Exponentiation
inverse operation of Multiplication
Pure mathematics
26. Include composition and convolution
Unknowns
Quadratic equations can also be solved
The method of equating the coefficients
Operations on functions
27. If a < b and c > 0
A differential equation
Binary operations
then ac < bc
Algebra
28. A
Associative law of Multiplication
symmetric
commutative law of Multiplication
Vectors
29. May not be defined for every possible value.
Operations
Exponentiation
Expressions
Operations on sets
30. Is Written as ab or a^b
Algebraic equation
Exponentiation
inverse operation of Exponentiation
Algebra
31. Can be added and subtracted.
Vectors
system of linear equations
Knowns
Unknowns
32. That if a = b and c = d then a + c = b + d and ac = bd;that if a = b then a + c = b + c; that if two symbols are equal - then one can be substituted for the other.
operands - arguments - or inputs
A transcendental equation
Equations
The relation of equality (=) has the property
33. Involve only one value - such as negation and trigonometric functions.
Conditional equations
The operation of addition
Unary operations
Reunion of broken parts
34. In which properties common to all algebraic structures are studied
Algebraic equation
Operations can involve dissimilar objects
Universal algebra
An operation ?
35. Are true for only some values of the involved variables: x2 - 1 = 4.
scalar
Reflexive relation
Conditional equations
Equations
36. If a < b and c < 0
The method of equating the coefficients
Algebraic number theory
scalar
then bc < ac
37. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.
Constants
Abstract algebra
Properties of equality
Pure mathematics
38. A unary operation
Vectors
Constants
inverse operation of Multiplication
has arity one
39. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics
Operations
Categories of Algebra
identity element of addition
Linear algebra
40. Is an equation in which a polynomial is set equal to another polynomial.
Algebraic combinatorics
Algebraic equation
the fixed non-negative integer k (the number of arguments)
A polynomial equation
41. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.
A Diophantine equation
system of linear equations
The relation of inequality (<) has this property
inverse operation of Exponentiation
42. There are two common types of operations:
unary and binary
Vectors
Elementary algebra
Repeated multiplication
43. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the
scalar
(k+1)-ary relation that is functional on its first k domains
A binary relation R over a set X is symmetric
Variables
44. The process of expressing the unknowns in terms of the knowns is called
Equations
symmetric
Solving the Equation
Addition
45. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).
has arity two
Quadratic equations can also be solved
A polynomial equation
Unknowns
46. Is an equation of the form log`a^X = b for a > 0 - which has solution
the fixed non-negative integer k (the number of arguments)
logarithmic equation
equation
two inputs
47. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.
Binary operations
Variables
Linear algebra
The relation of equality (=) has the property
48. Operations can have fewer or more than
The purpose of using variables
inverse operation of Multiplication
two inputs
operation
49. Is Written as a
inverse operation of Multiplication
finitary operation
Multiplication
Identity element of Multiplication
50. An operation of arity k is called a
The relation of equality (=) has the property
Reflexive relation
k-ary operation
Operations