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Test your basic knowledge |
CLEP General Math: Number Sense - Patterns - Algebraic Thinking
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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. Are the fundamental building blocks of arithmetic.
Conditional Probability
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Primes
set
2. Multiplication is equivalent to
Unique Factorization Theorem
Spaceland
Continuous
repeated addition
3. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
In Euclidean four-space
Set up an Equation
Expected Value
The Same
4. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A
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5. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).
In Euclidean four-space
does not change the solution set.
A number is divisible by 9
Properties of Equality
6. Index p radicand
perimeter
Bijection
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Geometry
7. Let a and b represent two whole numbers. Then - a + b = b + a.
each whole number can be uniquely decomposed into products of primes.
Polynomial
The Commutative Property of Addition
Markov Chains
8. To describe and extend a numerical pattern
1. The unit 2. Prime numbers 3. Composite numbers
1. Find a relationship between the first and second numbers. 2. Then we see if the relationship is true for the second and third numbers - the third and fourth - and so on.
Cayley's Theorem
˜
9. If a = b then
a divided by b
Comparison Property
Torus
a · c = b · c for c does not equal 0
10. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Genus
The BML Traffic Model
repeated addition
division
11. The amount of displacement - as measured from the still surface line.
Additive Inverse:
evaluate the expression in the innermost pair of grouping symbols first.
Amplitude
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
12. A factor tree is a way to visualize a number's
prime factors
Commutative Property of Addition:
Euclid's Postulates
The Same
13. Division by zero is undefined. Each of the expressions 6
Standard Deviation
variable
Division by Zero
Continuous
14. The fundamental theorem of arithmetic says that
a + c = b + c
Dividing both Sides of an Equation by the Same Quantity
Associative Property of Multiplication:
each whole number can be uniquely decomposed into products of primes.
15. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina
Galton Board
Factor Trees
perimeter
Noether's Theorem
16. Rules for Rounding - To round a number to a particular place - follow these steps:
Factor Tree Alternate Approach
1. Mark the place you wish to round to. This is called the rounding digit . 2. Check the next digit to the right of your digit marked in step 1. This is called the test digit . If the test digit is greater than or equal to 5 - add 1 to the rounding d
Prime Number
evaluate the expression in the innermost pair of grouping symbols first.
17. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or
Symmetry
Commutative Property of Multiplication
Frequency
Periodic Function
18. If a = b then
Transfinite
a + c = b + c
The Distributive Property (Subtraction)
Fourier Analysis and Synthesis
19. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
The Commutative Property of Addition
Commensurability
Dimension
Comparison Property
20. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com
Frequency
Irrational
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Spaceland
21. A number is divisible by 2
The Associative Property of Multiplication
Dividing both Sides of an Equation by the Same Quantity
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
left to right
22. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.
division
Commutative Property of Addition:
Axiomatic Systems
Non-Orientability
23. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).
General Relativity
The Additive Identity Property
A number is divisible by 3
Torus
24. If a and b are any whole numbers - then a
Multiplicative Inverse:
In Euclidean four-space
Commutative Property of Multiplication
Public Key Encryption
25. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Solve the Equation
Line Land
Variable
26. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
Divisible
The Riemann Hypothesis
Figurate Numbers
a · c = b · c for c does not equal 0
27. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.
Hypersphere
Polynomial
Normal Distribution
Bijection
28. Determines the likelihood of events that are not independent of one another.
Conditional Probability
Transfinite
Products and Factors
Box Diagram
29. Is a path that visits every node in a graph and ends where it began.
does not change the solution set.
A number is divisible by 5
The inverse of addition is subtraction
Hamilton Cycle
30. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Answer the Question
De Bruijn Sequence
Discrete
Grouping Symbols
31. Is the shortest string that contains all possible permutations of a particular length from a given set.
The Commutative Property of Addition
Products and Factors
De Bruijn Sequence
a divided by b
32. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.
The Commutative Property of Addition
Cardinality
Ramsey Theory
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
33. This method can create a flat map from a curved surface while preserving all angles in any features present.
Stereographic Projection
The inverse of addition is subtraction
Non-Euclidian Geometry
Division is not Associative
34. The system that Euclid used in The Elements
Axiomatic Systems
per line
Prime Deserts
Frequency
35. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Standard Deviation
Hamilton Cycle
Tone
Box Diagram
36. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.
each whole number can be uniquely decomposed into products of primes.
Invarient
Unique Factorization Theorem
The inverse of multiplication is division
37. A point in three-dimensional space requires three numbers to fix its location.
Polynomial
The Riemann Hypothesis
Spaceland
Equivalent Equations
38. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).
Multiplicative Identity:
Prime Number
Permutation
Division is not Commutative
39. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.
Dividing both Sides of an Equation by the Same Quantity
Non-Euclidian Geometry
The inverse of addition is subtraction
Rational
40. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t
Comparison Property
perimeter
Fourier Analysis
Flat Land
41. Means approximately equal.
˜
Expected Value
A number is divisible by 5
Flat Land
42. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
Continuous
Countable
Normal Distribution
The BML Traffic Model
43. An arrangement where order matters.
One equal sign per line
Permutation
Rarefactior
Problem of the Points
44. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
Products and Factors
Pigeonhole Principle
bar graph
Aleph-Null
45. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)
Greatest Common Factor (GCF)
Spherical Geometry
Commensurability
a - c = b - c
46. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a
Multiplying both Sides of an Equation by the Same Quantity
Multiplication
Frequency
A number is divisible by 3
47. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Multiplying both Sides of an Equation by the Same Quantity
Irrational
The Multiplicative Identity Property
Variable
48. A graph in which every node is connected to every other node is called a complete graph.
A number is divisible by 3
Complete Graph
Torus
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
49. The surface of a standard 'donut shape'.
Commutative Property of Multiplication
Markov Chains
Torus
Normal Distribution
50. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'
Tone
General Relativity
Hyperland
Transfinite