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. Are called the domains of the operation
The relation of inequality (<) has this property
The operation of exponentiation
The sets Xk
The simplest equations to solve
2. If a = b then b = a
operands - arguments - or inputs
symmetric
two inputs
the fixed non-negative integer k (the number of arguments)
3. A binary operation
has arity two
The simplest equations to solve
Operations
Number line or real line
4. Symbols that denote numbers - is to allow the making of generalizations in mathematics
A solution or root of the equation
The purpose of using variables
Abstract algebra
Addition
5. 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.
operation
operands - arguments - or inputs
Properties of equality
Elementary algebra
6. 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
7. Is an equation of the form log`a^X = b for a > 0 - which has solution
Multiplication
Operations on functions
logarithmic equation
Difference of two squares - or the difference of perfect squares
8. Is an equation where the unknowns are required to be integers.
A binary relation R over a set X is symmetric
Algebraic number theory
inverse operation of Multiplication
A Diophantine equation
9. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.
then a + c < b + d
commutative law of Multiplication
system of linear equations
then bc < ac
10. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:
commutative law of Addition
inverse operation of Multiplication
The simplest equations to solve
identity element of addition
11. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.
Binary operations
Abstract algebra
The relation of equality (=)
then a + c < b + d
12. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an
Unary operations
two inputs
Identity
Operations can involve dissimilar objects
13. Is an equation involving derivatives.
Identity
Equations
A differential equation
Operations
14. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.
commutative law of Addition
identity element of addition
The relation of equality (=)
Quadratic equations
15. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).
operands - arguments - or inputs
Quadratic equations can also be solved
Constants
inverse operation of Exponentiation
16. Is a binary relation on a set for which every element is related to itself - i.e. - a relation ~ on S where x~x holds true for every x in S. For example - ~ could be 'is equal to'.
operation
Reflexive relation
Knowns
operation
17. Is Written as ab or a^b
commutative law of Exponentiation
then bc < ac
then a + c < b + d
Exponentiation
18. Operations can have fewer or more than
two inputs
Expressions
nullary operation
Identity element of Multiplication
19. 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
A differential equation
has arity two
Reunion of broken parts
20. In an equation with a single unknown - a value of that unknown for which the equation is true is called
The relation of equality (=)
A functional equation
A solution or root of the equation
the set Y
21. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)
The operation of addition
Abstract algebra
radical equation
Associative law of Exponentiation
22. Division ( / )
A solution or root of the equation
two inputs
inverse operation of Multiplication
then a + c < b + d
23. The operation of exponentiation means ________________: a^n = a
exponential equation
Repeated multiplication
The relation of equality (=)'s property
Binary operations
24. In which properties common to all algebraic structures are studied
k-ary operation
Universal algebra
All quadratic equations
operation
25. An operation of arity zero is simply an element of the codomain Y - called a
inverse operation of addition
The real number system
nullary operation
Conditional equations
26. Is an action or procedure which produces a new value from one or more input values.
an operation
(k+1)-ary relation that is functional on its first k domains
Identity element of Multiplication
Identity
27. Will have two solutions in the complex number system - but need not have any in the real number system.
Algebraic equation
A Diophantine equation
All quadratic equations
Algebra
28. Not commutative a^b?b^a
Operations can involve dissimilar objects
(k+1)-ary relation that is functional on its first k domains
commutative law of Exponentiation
range
29. 1 - which preserves numbers: a
nullary operation
The relation of equality (=)'s property
Identity element of Multiplication
Constants
30. Is an equation involving a transcendental function of one of its variables.
Identity
A transcendental equation
A differential equation
Variables
31. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.
Constants
The operation of addition
Change of variables
Quadratic equations
32. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:
Categories of Algebra
operation
commutative law of Exponentiation
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.
33. There are two common types of operations:
Identity
The simplest equations to solve
identity element of Exponentiation
unary and binary
34. If a < b and c < d
(k+1)-ary relation that is functional on its first k domains
Categories of Algebra
then a + c < b + d
The relation of equality (=)
35. Are denoted by letters at the end of the alphabet - x - y - z - w - ...
Unknowns
Real number
Algebraic equation
Abstract algebra
36. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its
The simplest equations to solve
range
commutative law of Addition
Elimination method
37. 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.
A integral equation
The relation of equality (=) has the property
symmetric
Algebraic number theory
38. A unary operation
A differential equation
has arity one
Algebraic equation
inverse operation of Multiplication
39. May not be defined for every possible value.
Solution to the system
commutative law of Addition
Operations
Unary operations
40. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.
logarithmic equation
Algebraic number theory
The sets Xk
Equations
41. 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
transitive
Reunion of broken parts
A polynomial equation
Equations
42. () 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.
The operation of exponentiation
The purpose of using variables
A binary relation R over a set X is symmetric
Algebra
43. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.
Equations
system of linear equations
Solution to the system
inverse operation of Multiplication
44. Is Written as a + b
Addition
Rotations
The operation of exponentiation
Identities
45. Are true for only some values of the involved variables: x2 - 1 = 4.
The real number system
Addition
Conditional equations
(k+1)-ary relation that is functional on its first k domains
46. Can be combined using the function composition operation - performing the first rotation and then the second.
Rotations
substitution
Properties of equality
A integral equation
47. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.
Binary operations
Identity
commutative law of Multiplication
A polynomial equation
48. The value produced is called
equation
transitive
has arity one
value - result - or output
49. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the
A polynomial equation
Variables
then a < c
Quadratic equations
50. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the
All quadratic equations
Knowns
an operation
Number line or real line