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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 called the type or arity of the operation
radical equation
the fixed non-negative integer k (the number of arguments)
exponential equation
Universal algebra
2. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of
Operations on functions
Pure mathematics
Conditional equations
Order of Operations
3. Operations can have fewer or more than
operation
Elementary algebra
Identities
two inputs
4. Not associative
The operation of addition
two inputs
Associative law of Exponentiation
scalar
5. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.
Algebraic geometry
The relation of equality (=)
Expressions
substitution
6. Is an action or procedure which produces a new value from one or more input values.
Exponentiation
Equations
Operations
an operation
7. 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).
Variables
Quadratic equations
Multiplication
radical equation
8. Is called the codomain of the operation
the set Y
Repeated multiplication
Algebra
Elimination method
9. 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
k-ary operation
Reunion of broken parts
A Diophantine equation
The method of equating the coefficients
10. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).
The relation of equality (=)'s property
Pure mathematics
Universal algebra
equation
11. (a + b) + c = a + (b + c)
Repeated addition
Elementary algebra
Algebraic number theory
associative law of addition
12. The values combined are called
operands - arguments - or inputs
The relation of equality (=)
finitary operation
A differential equation
13. The values of the variables which make the equation true are the solutions of the equation and can be found through
Equation Solving
Addition
Vectors
range
14. If a < b and c < 0
commutative law of Multiplication
then bc < ac
An operation ?
Quadratic equations
15. Are called the domains of the operation
The sets Xk
domain
Associative law of Multiplication
Knowns
16. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its
range
value - result - or output
Binary operations
The operation of addition
17. Logarithm (Log)
inverse operation of Exponentiation
A polynomial equation
The real number system
identity element of Exponentiation
18. The squaring operation only produces
operation
A Diophantine equation
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.
nonnegative numbers
19. A vector can be multiplied by a scalar to form another vector
Operations can involve dissimilar objects
Pure mathematics
then a + c < b + d
Algebraic combinatorics
20. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an
Repeated addition
Expressions
Properties of equality
Identity
21. () 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.
Algebra
A Diophantine equation
Linear algebra
Unary operations
22. Is algebraic equation of degree one
Equation Solving
A linear equation
domain
Polynomials
23. If a = b and b = c then a = c
inverse operation of Exponentiation
A binary relation R over a set X is symmetric
transitive
Binary operations
24. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).
Quadratic equations can also be solved
Equations
Algebra
the set Y
25. In which properties common to all algebraic structures are studied
operation
Repeated multiplication
Universal algebra
exponential equation
26. Is an equation where the unknowns are required to be integers.
Elimination method
A polynomial equation
The relation of equality (=)
A Diophantine equation
27. k-ary operation is a
commutative law of Multiplication
radical equation
Equations
(k+1)-ary relation that is functional on its first k domains
28. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.
inverse operation of addition
The relation of inequality (<) has this property
The method of equating the coefficients
substitution
29. The operation of multiplication means _______________: a
system of linear equations
then bc < ac
Repeated addition
A binary relation R over a set X is symmetric
30. In an equation with a single unknown - a value of that unknown for which the equation is true is called
associative law of addition
domain
Associative law of Exponentiation
A solution or root of the equation
31. Can be combined using the function composition operation - performing the first rotation and then the second.
Elementary algebra
Repeated multiplication
unary and binary
Rotations
32. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction
operation
Constants
Order of Operations
then bc < ac
33. 1 - which preserves numbers: a^1 = a
identity element of Exponentiation
The central technique to linear equations
unary and binary
then a < c
34. The value produced is called
nonnegative numbers
operands - arguments - or inputs
Repeated addition
value - result - or output
35. 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)
operation
Knowns
Elimination method
then a + c < b + d
36. Can be combined using logic operations - such as and - or - and not.
Operations on functions
The logical values true and false
The relation of equality (=) has the property
Equation Solving
37. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left
Conditional equations
an operation
Expressions
Equations
38. Is an equation of the form X^m/n = a - for m - n integers - which has solution
The real number system
A functional equation
All quadratic equations
radical equation
39. The codomain is the set of real numbers but the range is the
k-ary operation
nonnegative numbers
Algebra
logarithmic equation
40. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the
Algebraic geometry
A differential equation
A linear equation
Variables
41. Applies abstract algebra to the problems of geometry
Algebraic geometry
Reunion of broken parts
The operation of addition
The purpose of using variables
42. If a = b then b = a
substitution
Linear algebra
symmetric
An operation ?
43. May not be defined for every possible value.
inverse operation of addition
system of linear equations
Operations
associative law of addition
44. 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.
then a < c
domain
Algebraic number theory
The central technique to linear equations
45. An operation of arity k is called a
k-ary operation
The central technique to linear equations
Quadratic equations
Algebra
46. (a
Identities
A transcendental equation
Associative law of Multiplication
inverse operation of addition
47. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.
Pure mathematics
Algebraic geometry
Algebra
Equations
48. In which the specific properties of vector spaces are studied (including matrices)
Linear algebra
A solution or root of the equation
system of linear equations
Algebraic number theory
49. Involve only one value - such as negation and trigonometric functions.
Unary operations
Elementary algebra
Operations on sets
then a + c < b + d
50. 1 - which preserves numbers: a
Identity element of Multiplication
A linear equation
inverse operation of Exponentiation
Quadratic equations can also be solved