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 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
2. Can be added and subtracted.
Vectors
Difference of two squares - or the difference of perfect squares
Algebra
Linear algebra
3. A + b = b + a
The operation of exponentiation
The relation of equality (=)
A solution or root of the equation
commutative law of Addition
4. A unary operation
A binary relation R over a set X is symmetric
has arity one
Elementary algebra
A differential equation
5. In which properties common to all algebraic structures are studied
The simplest equations to solve
Reflexive relation
Universal algebra
has arity one
6. An equivalent for y can be deduced by using one of the two equations. Using the second equation: Subtracting 2x from each side of the equation: and multiplying by -1: Using this y value in the first equation in the original system: Adding 2 on each s
A transcendental equation
the set Y
Binary operations
substitution
7. 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
Identity element of Multiplication
The central technique to linear equations
Algebraic combinatorics
Real number
8. If a = b and b = c then a = c
symmetric
The relation of equality (=)
commutative law of Addition
transitive
9. Can be combined using the function composition operation - performing the first rotation and then the second.
Rotations
radical equation
Binary operations
when b > 0
10. 0 - which preserves numbers: a + 0 = a
Solution to the system
identity element of addition
unary and binary
Unary operations
11. Is an equation in which the unknowns are functions rather than simple quantities.
then a + c < b + d
has arity one
domain
A functional equation
12. Is Written as a + b
Addition
symmetric
scalar
logarithmic equation
13. 1 - which preserves numbers: a^1 = a
Vectors
symmetric
transitive
identity element of Exponentiation
14. Subtraction ( - )
Categories of Algebra
Identity element of Multiplication
inverse operation of addition
range
15. Are called the domains of the operation
operands - arguments - or inputs
The sets Xk
Real number
an operation
16. Is an equation of the form aX = b for a > 0 - which has solution
operands - arguments - or inputs
exponential equation
Identity
The sets Xk
17. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the
then bc < ac
The relation of equality (=)'s property
Variables
The operation of addition
18. Is an equation of the form log`a^X = b for a > 0 - which has solution
commutative law of Addition
then a + c < b + d
operation
logarithmic equation
19. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.
Unary operations
exponential equation
Repeated addition
Algebraic number theory
20. Division ( / )
commutative law of Addition
inverse operation of Multiplication
Order of Operations
logarithmic equation
21. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left
reflexive
Rotations
The real number system
Expressions
22. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics
Polynomials
Categories of Algebra
associative law of addition
The relation of equality (=)'s property
23. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its
has arity one
the set Y
range
logarithmic equation
24. A vector can be multiplied by a scalar to form another vector
Vectors
Exponentiation
Operations can involve dissimilar objects
Real number
25. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).
Conditional equations
Quadratic equations can also be solved
The purpose of using variables
symmetric
26. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the
A differential equation
when b > 0
reflexive
Number line or real line
27. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called
then ac < bc
domain
The relation of equality (=)'s property
Identities
28. Are denoted by letters at the beginning - a - b - c - d - ...
Knowns
Repeated multiplication
Rotations
A integral equation
29. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an
has arity two
A differential equation
Rotations
Identity
30. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).
logarithmic equation
inverse operation of Multiplication
equation
The real number system
31. Is an equation involving a transcendental function of one of its variables.
Algebra
A transcendental equation
commutative law of Exponentiation
Linear algebra
32. 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'.
inverse operation of Exponentiation
The central technique to linear equations
Categories of Algebra
Reflexive relation
33. Operations can have fewer or more than
The operation of exponentiation
(k+1)-ary relation that is functional on its first k domains
commutative law of Exponentiation
two inputs
34. Is an equation involving integrals.
Algebraic geometry
A integral equation
commutative law of Multiplication
Unknowns
35. In an equation with a single unknown - a value of that unknown for which the equation is true is called
The sets Xk
A solution or root of the equation
A Diophantine equation
Number line or real line
36. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of
Pure mathematics
substitution
Algebraic equation
when b > 0
37. The operation of multiplication means _______________: a
Solving the Equation
Unknowns
Repeated addition
The operation of exponentiation
38. Include composition and convolution
The central technique to linear equations
Operations on functions
Operations on sets
Polynomials
39. If a < b and c < 0
The method of equating the coefficients
then bc < ac
range
two inputs
40. 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)
The operation of exponentiation
logarithmic equation
Properties of equality
Operations can involve dissimilar objects
41. Is Written as a
the set Y
The relation of equality (=)
operation
Multiplication
42. Not commutative a^b?b^a
commutative law of Exponentiation
Quadratic equations
Reunion of broken parts
finitary operation
43. A
The central technique to linear equations
commutative law of Multiplication
inverse operation of Exponentiation
symmetric
44. Will have two solutions in the complex number system - but need not have any in the real number system.
Categories of Algebra
The relation of equality (=)
All quadratic equations
Reunion of broken parts
45. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction
Order of Operations
All quadratic equations
Equations
logarithmic equation
46. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.
A polynomial equation
A differential equation
system of linear equations
Algebraic number theory
47. 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.
Properties of equality
domain
commutative law of Exponentiation
symmetric
48. Is Written as ab or a^b
scalar
Identity element of Multiplication
Addition
Exponentiation
49. In which abstract algebraic methods are used to study combinatorial questions.
the set Y
Algebraic combinatorics
nullary operation
system of linear equations
50. If a < b and b < c
(k+1)-ary relation that is functional on its first k domains
the set Y
then bc < ac
then a < c