SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
CLEP College Algebra: Algebra Principles
Start Test
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. A unary operation
Identity element of Multiplication
has arity one
Number line or real line
Expressions
2. Algebra comes from Arabic al-jebr meaning '______________'. Studies the effects of adding and multiplying numbers - variables - and polynomials - along with their factorization and determining their roots. Works directly with numbers. Also covers sym
The relation of inequality (<) has this property
Reunion of broken parts
range
inverse operation of Multiplication
3. 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.
Linear algebra
The operation of exponentiation
equation
The relation of inequality (<) has this property
4. Are denoted by letters at the beginning - a - b - c - d - ...
A polynomial equation
The logical values true and false
The purpose of using variables
Knowns
5. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an
operation
Identity
An operation ?
transitive
6. Is an equation of the form aX = b for a > 0 - which has solution
Universal algebra
exponential equation
commutative law of Multiplication
Pure mathematics
7. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the
The relation of equality (=) has the property
nonnegative numbers
Variables
identity element of addition
8. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of
Pure mathematics
Identities
Solution to the system
Vectors
9. Is an equation in which the unknowns are functions rather than simple quantities.
The purpose of using variables
An operation ?
Identities
A functional equation
10. The inner product operation on two vectors produces a
k-ary operation
scalar
Constants
Reflexive relation
11. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.
Pure mathematics
identity element of Exponentiation
an operation
Properties of equality
12. Can be defined axiomatically up to an isomorphism
Vectors
The real number system
Pure mathematics
Elementary algebra
13. If a < b and c > 0
exponential equation
Number line or real line
range
then ac < bc
14. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.
Constants
A linear equation
Algebraic equation
radical equation
15. The value produced is called
value - result - or output
when b > 0
range
The purpose of using variables
16. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:
The logical values true and false
two inputs
The simplest equations to solve
Order of Operations
17. Include the binary operations union and intersection and the unary operation of complementation.
Repeated multiplication
Equation Solving
Operations on sets
scalar
18. In which properties common to all algebraic structures are studied
Universal algebra
substitution
inverse operation of Multiplication
Quadratic equations can also be solved
19. Include composition and convolution
The simplest equations to solve
Operations on functions
Polynomials
has arity two
20. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).
Quadratic equations can also be solved
finitary operation
Equations
Multiplication
21. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in
then ac < bc
transitive
Operations on functions
The method of equating the coefficients
22. Is an equation involving a transcendental function of one of its variables.
substitution
The relation of equality (=) has the property
Unknowns
A transcendental equation
23. If a = b then b = a
Algebraic geometry
finitary operation
value - result - or output
symmetric
24. 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).
(k+1)-ary relation that is functional on its first k domains
Binary operations
The real number system
operation
25. Can be combined using the function composition operation - performing the first rotation and then the second.
Rotations
The logical values true and false
Quadratic equations
Addition
26. If a < b and c < d
then a + c < b + d
(k+1)-ary relation that is functional on its first k domains
Expressions
Rotations
27. Applies abstract algebra to the problems of geometry
Algebraic geometry
an operation
radical equation
Variables
28. Is the claim that two expressions have the same value and are equal.
Equations
Operations
Associative law of Multiplication
radical equation
29. Can be combined using logic operations - such as and - or - and not.
(k+1)-ary relation that is functional on its first k domains
The logical values true and false
then a + c < b + d
The operation of exponentiation
30. Is called the codomain of the operation
the set Y
A Diophantine equation
then ac < bc
an operation
31. The values combined are called
operands - arguments - or inputs
Multiplication
The purpose of using variables
Any real number can be added to both sides. Any real number can be subtracted from both sides. Any real number can be multiplied to both sides. Any non-zero real number can divide both sides. Some functions can be applied to both sides.
32. May not be defined for every possible value.
Operations
Equations
Addition
identity element of addition
33. In an equation with a single unknown - a value of that unknown for which the equation is true is called
the fixed non-negative integer k (the number of arguments)
Quadratic equations
A linear equation
A solution or root of the equation
34. Not commutative a^b?b^a
Universal algebra
Number line or real line
Elimination method
commutative law of Exponentiation
35. Referring to the finite number of arguments (the value k)
The relation of inequality (<) has this property
Linear algebra
A integral equation
finitary operation
36. A
operation
Universal algebra
The sets Xk
commutative law of Multiplication
37. In which abstract algebraic methods are used to study combinatorial questions.
the set Y
Number line or real line
Algebraic combinatorics
Algebraic geometry
38. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi
Algebraic geometry
Elementary algebra
associative law of addition
inverse operation of addition
39. A vector can be multiplied by a scalar to form another vector
Universal algebra
Operations can involve dissimilar objects
Number line or real line
system of linear equations
40. An operation of arity k is called a
Rotations
Elimination method
k-ary operation
finitary operation
41. Are true for only some values of the involved variables: x2 - 1 = 4.
A transcendental equation
Operations on functions
Conditional equations
system of linear equations
42. b = b
the fixed non-negative integer k (the number of arguments)
Reunion of broken parts
reflexive
Algebraic number theory
43. Are denoted by letters at the end of the alphabet - x - y - z - w - ...
Unknowns
Elementary algebra
Equation Solving
All quadratic equations
44. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).
Quadratic equations
Addition
transitive
value - result - or output
45. Is an algebraic 'sentence' containing an unknown quantity.
The relation of equality (=) has the property
Identities
Polynomials
The operation of addition
46. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)
Operations on functions
The purpose of using variables
A binary relation R over a set X is symmetric
operation
47. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called
The relation of equality (=)'s property
Operations on sets
Order of Operations
Identities
48. 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.
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
49. Is an equation of the form X^m/n = a - for m - n integers - which has solution
The central technique to linear equations
Universal algebra
radical equation
A solution or root of the equation
50. If it holds for all a and b in X that if a is related to b then b is related to a.
The operation of exponentiation
A binary relation R over a set X is symmetric
An operation ?
The sets Xk