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. Symbols that denote numbers - is to allow the making of generalizations in mathematics
the set Y
then ac < bc
The purpose of using variables
Number line or real line
2. Letters from the beginning of the alphabet like a - b - c... often denote
Universal algebra
Quadratic equations can also be solved
Constants
Elementary algebra
3. A vector can be multiplied by a scalar to form another vector
Operations can involve dissimilar objects
Pure mathematics
reflexive
A binary relation R over a set X is symmetric
4. Involve only one value - such as negation and trigonometric functions.
Elimination method
The purpose of using variables
Unary operations
Operations can involve dissimilar objects
5. Include composition and convolution
The operation of exponentiation
Linear algebra
A integral equation
Operations on functions
6. Is an equation of the form log`a^X = b for a > 0 - which has solution
equation
then a + c < b + d
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.
logarithmic equation
7. Is Written as ab or a^b
Unknowns
equation
Exponentiation
associative law of addition
8. Is an equation in which a polynomial is set equal to another polynomial.
Operations on functions
finitary operation
then a < c
A polynomial equation
9. Is called the type or arity of the operation
A binary relation R over a set X is symmetric
unary and binary
The relation of equality (=)'s property
the fixed non-negative integer k (the number of arguments)
10. A
Polynomials
commutative law of Multiplication
Number line or real line
All quadratic equations
11. Subtraction ( - )
Operations
inverse operation of addition
inverse operation of Exponentiation
Vectors
12. The squaring operation only produces
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.
Associative law of Multiplication
Operations
nonnegative numbers
13. If a = b then b = a
The method of equating the coefficients
domain
finitary operation
symmetric
14. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that
two inputs
Real number
inverse operation of addition
Associative law of Exponentiation
15. b = b
Linear algebra
reflexive
Knowns
Difference of two squares - or the difference of perfect squares
16. Applies abstract algebra to the problems of geometry
associative law of addition
Algebraic geometry
domain
A transcendental equation
17. In an equation with a single unknown - a value of that unknown for which the equation is true is called
equation
has arity two
domain
A solution or root of the equation
18. If a = b and b = c then a = c
The relation of equality (=)'s property
transitive
Operations can involve dissimilar objects
inverse operation of addition
19. Division ( / )
the fixed non-negative integer k (the number of arguments)
Order of Operations
inverse operation of Multiplication
operation
20. 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
commutative law of Multiplication
A linear equation
Elementary algebra
the fixed non-negative integer k (the number of arguments)
21. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left
Expressions
Properties of equality
Equations
nonnegative numbers
22. Is called the codomain of the operation
The relation of equality (=) has the property
Algebraic geometry
A linear equation
the set Y
23. If a < b and c > 0
then ac < bc
transitive
when b > 0
Variables
24. The inner product operation on two vectors produces a
scalar
commutative law of Addition
equation
Polynomials
25. Is an equation of the form X^m/n = a - for m - n integers - which has solution
inverse operation of Multiplication
radical equation
unary and binary
Equations
26. Is an equation in which the unknowns are functions rather than simple quantities.
Abstract algebra
A functional equation
The operation of exponentiation
Variables
27. The values of the variables which make the equation true are the solutions of the equation and can be found through
Pure mathematics
Equation Solving
Algebraic number theory
Solution to the system
28. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.
The operation of exponentiation
Order of Operations
Solution to the system
Number line or real line
29. Will have two solutions in the complex number system - but need not have any in the real number system.
Pure mathematics
All quadratic equations
Equations
Unary operations
30. Is the claim that two expressions have the same value and are equal.
Operations on functions
Algebraic equation
The logical values true and false
Equations
31. 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
Elimination method
Universal algebra
transitive
Pure mathematics
32. An operation of arity zero is simply an element of the codomain Y - called a
nullary operation
associative law of addition
The relation of equality (=)
Repeated addition
33. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its
The relation of inequality (<) has this property
inverse operation of Multiplication
Constants
range
34. () 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 binary relation R over a set X is symmetric
Knowns
Algebra
The relation of equality (=)
35. If it holds for all a and b in X that if a is related to b then b is related to a.
Associative law of Exponentiation
Algebraic combinatorics
A binary relation R over a set X is symmetric
A Diophantine equation
36. Is Written as a
The relation of equality (=) has the property
inverse operation of Exponentiation
Elimination method
Multiplication
37. Can be written in terms of n-th roots: a^m/n = (nva)^m and thus even roots of negative numbers do not exist in the real number system - has the property: a^ba^c = a^b+c - has the property: (a^b)^c = a^bc - In general a^b ? b^a and (a^b)^c ? a^(b^c)
when b > 0
inverse operation of addition
The operation of exponentiation
unary and binary
38. Can be combined using logic operations - such as and - or - and not.
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.
Equations
The logical values true and false
commutative law of Exponentiation
39. In which abstract algebraic methods are used to study combinatorial questions.
Algebraic combinatorics
operation
The real number system
A linear equation
40. 1 - which preserves numbers: a^1 = a
identity element of Exponentiation
Solution to the system
Operations on sets
Repeated addition
41. 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)
Repeated multiplication
Variables
Algebraic combinatorics
operation
42. Are true for only some values of the involved variables: x2 - 1 = 4.
The simplest equations to solve
Conditional equations
unary and binary
k-ary operation
43. Logarithm (Log)
inverse operation of Exponentiation
The relation of equality (=)'s property
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.
Order of Operations
44. Is an equation of the form aX = b for a > 0 - which has solution
operation
exponential equation
Identity
inverse operation of addition
45. The operation of multiplication means _______________: a
The method of equating the coefficients
Repeated addition
equation
domain
46. An operation of arity k is called a
The simplest equations to solve
Categories of Algebra
reflexive
k-ary operation
47. The value produced is called
commutative law of Addition
value - result - or output
Categories of Algebra
k-ary operation
48. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).
system of linear equations
equation
Algebraic equation
Abstract algebra
49. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity
the fixed non-negative integer k (the number of arguments)
then a < c
Difference of two squares - or the difference of perfect squares
Quadratic equations can also be solved
50. 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