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. 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)
operation
The operation of addition
Real number
nullary operation
2. 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
Unary operations
Identities
Elimination method
Operations can involve dissimilar objects
3. Are denoted by letters at the end of the alphabet - x - y - z - w - ...
Quadratic equations can also be solved
operands - arguments - or inputs
Number line or real line
Unknowns
4. The values for which an operation is defined form a set called its
Real number
Vectors
domain
Change of variables
5. Not associative
Elementary algebra
nonnegative numbers
commutative law of Multiplication
Associative law of Exponentiation
6. Can be defined axiomatically up to an isomorphism
nullary operation
operation
The real number system
Solution to the system
7. Is an algebraic 'sentence' containing an unknown quantity.
Polynomials
then a < c
Addition
equation
8. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity
A integral equation
Difference of two squares - or the difference of perfect squares
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.
the set Y
9. Is an action or procedure which produces a new value from one or more input values.
Reunion of broken parts
Equations
logarithmic equation
an operation
10. Is algebraic equation of degree one
The method of equating the coefficients
Reflexive relation
Algebraic number theory
A linear equation
11. Are denoted by letters at the beginning - a - b - c - d - ...
Knowns
A differential equation
then a + c < b + d
Equation Solving
12. Is Written as a
nullary operation
Associative law of Multiplication
A transcendental equation
Multiplication
13. 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.
Real number
Properties of equality
Operations on functions
Quadratic equations can also be solved
14. Symbols that denote numbers - is to allow the making of generalizations in mathematics
Pure mathematics
has arity two
The purpose of using variables
A transcendental equation
15. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an
Solving the Equation
Identity
Properties of equality
commutative law of Addition
16. Is an equation where the unknowns are required to be integers.
Identity element of Multiplication
symmetric
A Diophantine equation
then bc < ac
17. Is an equation of the form X^m/n = a - for m - n integers - which has solution
Operations
Solution to the system
radical equation
Equations
18. In which abstract algebraic methods are used to study combinatorial questions.
Algebraic combinatorics
The operation of addition
Algebra
commutative law of Addition
19. Involve only one value - such as negation and trigonometric functions.
then a + c < b + d
A polynomial equation
Unary operations
then ac < bc
20. Applies abstract algebra to the problems of geometry
has arity one
Unary operations
Exponentiation
Algebraic geometry
21. The operation of multiplication means _______________: a
Repeated addition
operation
A integral equation
Addition
22. Is an equation involving integrals.
A integral equation
inverse operation of Exponentiation
The relation of equality (=) has the property
Linear algebra
23. Include composition and convolution
then a + c < b + d
Operations on functions
two inputs
A transcendental equation
24. Can be added and subtracted.
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.
Pure mathematics
Vectors
Categories of Algebra
25. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of
Expressions
finitary operation
Pure mathematics
An operation ?
26. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left
Polynomials
A solution or root of the equation
Algebraic number theory
Expressions
27. 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.
Change of variables
Algebraic combinatorics
Solving the Equation
Number line or real line
28. 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).
The relation of equality (=) has the property
A Diophantine equation
Quadratic equations
A functional equation
29. Are true for only some values of the involved variables: x2 - 1 = 4.
Conditional equations
Identities
then a < c
equation
30. If a = b then b = a
substitution
then ac < bc
Multiplication
symmetric
31. A
symmetric
Associative law of Multiplication
commutative law of Multiplication
The relation of equality (=)
32. Can be combined using logic operations - such as and - or - and not.
domain
The logical values true and false
Operations on functions
Variables
33. If a < b and b < c
Solving the Equation
then a < c
range
has arity two
34. Can be combined using the function composition operation - performing the first rotation and then the second.
The operation of addition
The simplest equations to solve
Algebra
Rotations
35. Logarithm (Log)
A linear equation
inverse operation of Exponentiation
The real number system
Identities
36. The inner product operation on two vectors produces a
Equations
Change of variables
scalar
A integral equation
37. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.
an operation
The logical values true and false
Multiplication
Binary operations
38. A unary operation
Algebraic number theory
two inputs
has arity one
Algebraic equation
39. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:
Universal algebra
nonnegative numbers
Repeated addition
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.
40. Are called the domains of the operation
identity element of addition
The method of equating the coefficients
A binary relation R over a set X is symmetric
The sets Xk
41. 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
Real number
The central technique to linear equations
The logical values true and false
has arity two
42. The process of expressing the unknowns in terms of the knowns is called
Algebraic combinatorics
then bc < ac
equation
Solving the Equation
43. 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).
The logical values true and false
operation
logarithmic equation
Elimination method
44. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called
Identities
An operation ?
then a + c < b + d
Linear algebra
45. If it holds for all a and b in X that if a is related to b then b is related to a.
Expressions
A differential equation
Operations
A binary relation R over a set X is symmetric
46. 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
The operation of addition
Variables
Elementary algebra
identity element of Exponentiation
47. There are two common types of operations:
Expressions
A linear equation
unary and binary
Real number
48. 1 - which preserves numbers: a^1 = a
identity element of Exponentiation
associative law of addition
A binary relation R over a set X is symmetric
Unknowns
49. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).
two inputs
Quadratic equations can also be solved
Unary operations
Equation Solving
50. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.
A binary relation R over a set X is symmetric
Algebraic equation
the fixed non-negative integer k (the number of arguments)
system of linear equations