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Test your basic knowledge |
CLEP College Algebra: Algebra Principles
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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 algebraic 'sentence' containing an unknown quantity.
Polynomials
Algebraic number theory
the fixed non-negative integer k (the number of arguments)
Quadratic equations
2. Are denoted by letters at the end of the alphabet - x - y - z - w - ...
Unknowns
The real number system
Identity
The relation of equality (=) has the property
3. Is called the codomain of the operation
The operation of exponentiation
the set Y
finitary operation
Elementary algebra
4. Is an equation in which the unknowns are functions rather than simple quantities.
The relation of inequality (<) has this property
Variables
A functional equation
The method of equating the coefficients
5. 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
Categories of Algebra
substitution
radical equation
The operation of exponentiation
6. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).
A binary relation R over a set X is symmetric
range
Elementary algebra
equation
7. Subtraction ( - )
Order of Operations
transitive
inverse operation of addition
The real number system
8. 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.
Operations
All quadratic equations
radical equation
Change of variables
9. Is called the type or arity of the operation
Algebraic combinatorics
logarithmic equation
then a < c
the fixed non-negative integer k (the number of arguments)
10. In which properties common to all algebraic structures are studied
The relation of equality (=) has the property
Number line or real line
A integral equation
Universal algebra
11. If a < b and c < d
reflexive
then a + c < b + d
The relation of equality (=)'s property
value - result - or output
12. b = b
Knowns
Abstract algebra
logarithmic equation
reflexive
13. The squaring operation only produces
The relation of equality (=)'s property
inverse operation 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.
nonnegative numbers
14. Include the binary operations union and intersection and the unary operation of complementation.
Operations on sets
exponential equation
inverse operation of Exponentiation
Order of Operations
15. Is Written as a
Algebra
Reunion of broken parts
Multiplication
nonnegative numbers
16. The values for which an operation is defined form a set called its
Rotations
domain
Quadratic equations can also be solved
The logical values true and false
17. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called
reflexive
Solution to the system
identity element of Exponentiation
Identities
18. Symbols that denote numbers - is to allow the making of generalizations in mathematics
Linear algebra
The purpose of using variables
inverse operation of Exponentiation
Quadratic equations can also be solved
19. (a
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 sets Xk
transitive
Associative law of Multiplication
20. A unary operation
Abstract algebra
has arity one
Number line or real line
operation
21. 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).
operands - arguments - or inputs
system of linear equations
operation
the set Y
22. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.
inverse operation of Multiplication
Algebra
system of linear equations
Quadratic equations
23. Are denoted by letters at the beginning - a - b - c - d - ...
commutative law of Addition
Identity
The relation of equality (=)'s property
Knowns
24. Is an equation in which a polynomial is set equal to another polynomial.
Identities
Universal algebra
A polynomial equation
A differential equation
25. If a = b then b = a
the fixed non-negative integer k (the number of arguments)
Unknowns
the set Y
symmetric
26. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).
Quadratic equations can also be solved
A integral equation
Identity
All quadratic equations
27. Logarithm (Log)
A differential equation
inverse operation of Exponentiation
the fixed non-negative integer k (the number of arguments)
Algebraic geometry
28. 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.
scalar
The relation of equality (=) has the property
A differential equation
The relation of inequality (<) has this property
29. Can be added and subtracted.
identity element of addition
Vectors
two inputs
Equations
30. 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
identity element of addition
finitary operation
A polynomial equation
31. 1 - which preserves numbers: a
Identity element of Multiplication
Vectors
Rotations
has arity two
32. Will have two solutions in the complex number system - but need not have any in the real number system.
All quadratic equations
Algebraic equation
A binary relation R over a set X is symmetric
Quadratic equations can also be solved
33. Involve only one value - such as negation and trigonometric functions.
A differential equation
identity element of addition
commutative law of Addition
Unary operations
34. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an
operands - arguments - or inputs
the set Y
two inputs
Identity
35. Is an equation involving derivatives.
substitution
A differential 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.
finitary operation
36. The operation of multiplication means _______________: a
Reflexive relation
nonnegative numbers
Repeated addition
Properties of equality
37. The value produced is called
Addition
Algebraic equation
identity element of addition
value - result - or output
38. Is the claim that two expressions have the same value and are equal.
Algebraic combinatorics
Multiplication
Algebra
Equations
39. 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
has arity two
Associative law of Multiplication
The method of equating the coefficients
two inputs
40. 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.
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41. The operation of exponentiation means ________________: a^n = a
Repeated multiplication
Algebraic number theory
inverse operation of Exponentiation
Difference of two squares - or the difference of perfect squares
42. Are called the domains of the operation
Equation Solving
(k+1)-ary relation that is functional on its first k domains
The sets Xk
Multiplication
43. Is an equation of the form log`a^X = b for a > 0 - which has solution
radical equation
The operation of addition
logarithmic equation
Identity
44. Not commutative a^b?b^a
has arity two
two inputs
The relation of equality (=) has the property
commutative law of Exponentiation
45. If a < b and c > 0
The operation of exponentiation
an operation
then ac < bc
Algebraic equation
46. 0 - which preserves numbers: a + 0 = a
Algebraic combinatorics
Equations
identity element of addition
an operation
47. Operations can have fewer or more than
Polynomials
commutative law of Addition
Operations can involve dissimilar objects
two inputs
48. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the
The method of equating the coefficients
Number line or real line
k-ary operation
The logical values true and false
49. k-ary operation is a
The operation of exponentiation
identity element of Exponentiation
has arity two
(k+1)-ary relation that is functional on its first k domains
50. Is an action or procedure which produces a new value from one or more input values.
The relation of inequality (<) has this property
The operation of exponentiation
an operation
Linear algebra