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. Is an equation in which a polynomial is set equal to another polynomial.
Exponentiation
Abstract algebra
A polynomial equation
system of linear equations
2. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.
Solution to the system
Abstract algebra
Identities
Unknowns
3. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.
A functional equation
Reflexive relation
Identity
Equations
4. In which the specific properties of vector spaces are studied (including matrices)
Linear algebra
The purpose of using variables
Quadratic equations
then a < c
5. The squaring operation only produces
Associative law of Multiplication
logarithmic equation
Exponentiation
nonnegative numbers
6. Is an equation involving integrals.
Real number
A integral equation
Algebraic number theory
inverse operation of Exponentiation
7. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left
commutative law of Exponentiation
Expressions
commutative law of Multiplication
Operations
8. Is algebraic equation of degree one
Multiplication
A linear equation
Algebra
Variables
9. If a = b then b = a
Identity
transitive
symmetric
A transcendental equation
10. b = b
Quadratic equations can also be solved
finitary operation
scalar
reflexive
11. 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'.
Reflexive relation
Operations
two inputs
equation
12. Subtraction ( - )
The central technique to linear equations
inverse operation of addition
Polynomials
Real number
13. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.
A solution or root of the equation
symmetric
The relation of equality (=)
then a + c < b + d
14. If a = b and b = c then a = c
equation
Reflexive relation
Exponentiation
transitive
15. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the
Reunion of broken parts
radical equation
Quadratic equations can also be solved
Number line or real line
16. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:
Rotations
A differential equation
Associative law of Exponentiation
The simplest equations to solve
17. Logarithm (Log)
when b > 0
Difference of two squares - or the difference of perfect squares
inverse operation of Exponentiation
inverse operation of Multiplication
18. Not associative
nullary operation
Algebraic equation
operands - arguments - or inputs
Associative law of Exponentiation
19. 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
A Diophantine equation
Multiplication
two inputs
Real number
20. Can be combined using the function composition operation - performing the first rotation and then the second.
Rotations
Equations
Polynomials
Algebraic number theory
21. May not be defined for every possible value.
when b > 0
operation
A polynomial equation
Operations
22. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.
Solution to the system
The central technique to linear equations
Polynomials
transitive
23. Include composition and convolution
Vectors
transitive
Operations on functions
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.
24. There are two common types of operations:
unary and binary
inverse operation of Exponentiation
commutative law of Multiplication
Properties of equality
25. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:
when b > 0
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.
operands - arguments - or inputs
radical equation
26. Symbols that denote numbers - is to allow the making of generalizations in mathematics
An operation ?
an operation
Knowns
The purpose of using variables
27. If a < b and c < d
The logical values true and false
then a + c < b + d
system of linear equations
Algebraic number theory
28. The operation of exponentiation means ________________: a^n = a
inverse operation of addition
Repeated multiplication
Equations
Quadratic equations can also be solved
29. 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 bc < ac
Identity element of Multiplication
nullary operation
The method of equating the coefficients
30. Is a function of the form ? : V ? Y - where V ? X1
Conditional equations
An operation ?
associative law of addition
The relation of inequality (<) has this property
31. (a + b) + c = a + (b + c)
Multiplication
associative law of addition
commutative law of Exponentiation
Variables
32. Referring to the finite number of arguments (the value k)
commutative law of Multiplication
Linear algebra
Algebraic combinatorics
finitary operation
33. The values of the variables which make the equation true are the solutions of the equation and can be found through
Equation Solving
The operation of addition
Expressions
A Diophantine equation
34. A unary operation
Equation Solving
nonnegative numbers
The relation of equality (=)
has arity one
35. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called
Operations on functions
identity element of Exponentiation
operands - arguments - or inputs
Identities
36. Are denoted by letters at the beginning - a - b - c - d - ...
Repeated multiplication
Knowns
Vectors
Conditional equations
37. In which properties common to all algebraic structures are studied
Universal algebra
the fixed non-negative integer k (the number of arguments)
inverse operation of Exponentiation
an operation
38. Can be defined axiomatically up to an isomorphism
then a + c < b + d
Repeated multiplication
Equations
The real number system
39. The codomain is the set of real numbers but the range is the
nonnegative numbers
Polynomials
inverse operation of Multiplication
Operations on sets
40. The values for which an operation is defined form a set called its
The relation of inequality (<) has this property
domain
A polynomial equation
All quadratic equations
41. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.
value - result - or output
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.
equation
Algebraic number theory
42. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the
Solution to the system
Variables
The relation of equality (=)
identity element of Exponentiation
43. 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
Difference of two squares - or the difference of perfect squares
identity element of addition
Number line or real line
44. A vector can be multiplied by a scalar to form another vector
Constants
Operations can involve dissimilar objects
Linear algebra
A binary relation R over a set X is symmetric
45. 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)
Operations
The operation of exponentiation
Multiplication
Algebraic geometry
46. Is Written as a
operands - arguments - or inputs
Change of variables
Multiplication
symmetric
47. Is an equation where the unknowns are required to be integers.
(k+1)-ary relation that is functional on its first k domains
A linear equation
A Diophantine equation
The relation of equality (=)'s property
48. Not commutative a^b?b^a
Conditional equations
The real number system
has arity two
commutative law of Exponentiation
49. A
The method of equating the coefficients
Identities
Identity element of Multiplication
commutative law of Multiplication
50. Is an equation of the form aX = b for a > 0 - which has solution
The operation of addition
A differential equation
Quadratic equations can also be solved
exponential equation