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. If a < b and c < d
The simplest equations to solve
then a + c < b + d
domain
Operations on sets
2. A
Abstract algebra
Algebra
A linear equation
commutative law of Multiplication
3. Include composition and convolution
A linear equation
Rotations
Operations on functions
Quadratic equations can also be solved
4. If a < b and c < 0
Associative law of Multiplication
Operations on functions
symmetric
then bc < ac
5. In which abstract algebraic methods are used to study combinatorial questions.
Algebraic combinatorics
exponential equation
Universal algebra
Associative law of Multiplication
6. Logarithm (Log)
Elementary algebra
the fixed non-negative integer k (the number of arguments)
Polynomials
inverse operation of Exponentiation
7. Elementary algebraic techniques are used to rewrite a given equation in the above way before arriving at the solution. then - by subtracting 1 from both sides of the equation - and then dividing both sides by 3 we obtain
The real number system
Elementary algebra
associative law of addition
when b > 0
8. 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)
inverse operation of Exponentiation
Properties of equality
The operation of addition
operation
9. Is an equation involving a transcendental function of one of its variables.
A Diophantine equation
A transcendental equation
Algebraic geometry
unary and binary
10. 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
inverse operation of Multiplication
Elementary algebra
transitive
commutative law of Addition
11. In an equation with a single unknown - a value of that unknown for which the equation is true is called
logarithmic equation
The method of equating the coefficients
Polynomials
A solution or root of the equation
12. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the
Number line or real line
Identity element of Multiplication
associative law of addition
The sets Xk
13. If a = b then b = a
The relation of equality (=) has the property
Change of variables
nullary operation
symmetric
14. Are denoted by letters at the end of the alphabet - x - y - z - w - ...
Pure mathematics
Algebraic equation
operation
Unknowns
15. A vector can be multiplied by a scalar to form another vector
Operations can involve dissimilar objects
Pure mathematics
Constants
domain
16. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:
Change of variables
logarithmic equation
range
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.
17. Is an equation in which a polynomial is set equal to another polynomial.
A differential equation
nonnegative numbers
A polynomial equation
unary and binary
18. Will have two solutions in the complex number system - but need not have any in the real number system.
identity element of addition
All quadratic equations
substitution
Associative law of Multiplication
19. 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
20. Applies abstract algebra to the problems of geometry
A integral equation
radical equation
Identity element of Multiplication
Algebraic geometry
21. There are two common types of operations:
Linear algebra
reflexive
unary and binary
domain
22. The values of the variables which make the equation true are the solutions of the equation and can be found through
has arity one
Equation Solving
All quadratic equations
The operation of exponentiation
23. Is an equation of the form log`a^X = b for a > 0 - which has solution
logarithmic equation
The simplest equations to solve
when b > 0
Equation Solving
24. (a + b) + c = a + (b + c)
associative law of addition
Identity element of Multiplication
Repeated multiplication
The method of equating the coefficients
25. k-ary operation is a
The simplest equations to solve
system of linear equations
Solving the Equation
(k+1)-ary relation that is functional on its first k domains
26. 1 - which preserves numbers: a^1 = a
identity element of Exponentiation
nonnegative numbers
radical equation
Repeated addition
27. The codomain is the set of real numbers but the range is the
Quadratic equations can also be solved
A functional equation
nonnegative numbers
A integral equation
28. In which the specific properties of vector spaces are studied (including matrices)
Algebraic equation
Identity element of Multiplication
An operation ?
Linear algebra
29. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.
Binary operations
Reunion of broken parts
k-ary operation
inverse operation of Multiplication
30. Include the binary operations union and intersection and the unary operation of complementation.
Algebraic geometry
Operations on sets
The relation of inequality (<) has this property
inverse operation of Exponentiation
31. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called
Constants
nonnegative numbers
A functional equation
Identities
32. The value produced is called
value - result - or output
associative law of addition
(k+1)-ary relation that is functional on its first k domains
A differential equation
33. In which properties common to all algebraic structures are studied
A transcendental equation
A functional equation
The operation of addition
Universal algebra
34. The operation of exponentiation means ________________: a^n = a
The method of equating the coefficients
Repeated multiplication
Identity
Associative law of Exponentiation
35. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.
Abstract algebra
associative law of addition
Associative law of Exponentiation
Addition
36. The operation of multiplication means _______________: a
Associative law of Multiplication
Repeated addition
commutative law of Exponentiation
nullary operation
37. Is an equation where the unknowns are required to be integers.
A Diophantine equation
Identities
Quadratic equations
(k+1)-ary relation that is functional on its first k domains
38. 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
Reunion of broken parts
A integral equation
the fixed non-negative integer k (the number of arguments)
All quadratic equations
39. Is called the codomain of the operation
Elimination method
then bc < ac
the set Y
commutative law of Exponentiation
40. Operations can have fewer or more than
scalar
two inputs
unary and binary
Order of Operations
41. The squaring operation only produces
inverse operation of Multiplication
nonnegative numbers
A integral equation
Variables
42. Is called the type or arity of the operation
value - result - or output
Identity element of Multiplication
A binary relation R over a set X is symmetric
the fixed non-negative integer k (the number of arguments)
43. Is an algebraic 'sentence' containing an unknown quantity.
Equations
Polynomials
A integral equation
Variables
44. If a = b and b = c then a = c
Knowns
commutative law of Multiplication
transitive
An operation ?
45. 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.
Operations on functions
operation
Algebraic number theory
The relation of equality (=) has the property
46. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).
An operation ?
All quadratic equations
Quadratic equations can also be solved
system of linear equations
47. A + b = b + a
Operations
The operation of addition
The central technique to linear equations
commutative law of Addition
48. b = b
Categories of Algebra
Identity element of Multiplication
reflexive
Algebraic combinatorics
49. Are true for only some values of the involved variables: x2 - 1 = 4.
Conditional equations
has arity two
Rotations
Solving the Equation
50. Can be added and subtracted.
symmetric
Vectors
Rotations
identity element of Exponentiation
Sorry!:) No result found.
Can you answer 50 questions in 15 minutes?
Let me suggest you:
Browse all subjects
Browse all tests
Most popular tests
Major Subjects
Tests & Exams
AP
CLEP
DSST
GRE
SAT
GMAT
Certifications
CISSP go to https://www.isc2.org/
PMP
ITIL
RHCE
MCTS
More...
IT Skills
Android Programming
Data Modeling
Objective C Programming
Basic Python Programming
Adobe Illustrator
More...
Business Skills
Advertising Techniques
Business Accounting Basics
Business Strategy
Human Resource Management
Marketing Basics
More...
Soft Skills
Body Language
People Skills
Public Speaking
Persuasion
Job Hunting And Resumes
More...
Vocabulary
GRE Vocab
SAT Vocab
TOEFL Essential Vocab
Basic English Words For All
Global Words You Should Know
Business English
More...
Languages
AP German Vocab
AP Latin Vocab
SAT Subject Test: French
Italian Survival
Norwegian Survival
More...
Engineering
Audio Engineering
Computer Science Engineering
Aerospace Engineering
Chemical Engineering
Structural Engineering
More...
Health Sciences
Basic Nursing Skills
Health Science Language Fundamentals
Veterinary Technology Medical Language
Cardiology
Clinical Surgery
More...
English
Grammar Fundamentals
Literary And Rhetorical Vocab
Elements Of Style Vocab
Introduction To English Major
Complete Advanced Sentences
Literature
Homonyms
More...
Math
Algebra Formulas
Basic Arithmetic: Measurements
Metric Conversions
Geometric Properties
Important Math Facts
Number Sense Vocab
Business Math
More...
Other Major Subjects
Science
Economics
History
Law
Performing-arts
Cooking
Logic & Reasoning
Trivia
Browse all subjects
Browse all tests
Most popular tests