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 General Math: Number Sense - Patterns - Algebraic Thinking
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. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
a divided by b
Intrinsic View
Probability
Fundamental Theorem of Arithmetic
2. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Properties of Equality
left to right
Euler Characteristic
Torus
3. (a
Least Common Multiple (LCM)
Modular Arithmetic
Division is not Associative
Public Key Encryption
4. Perform all additions and subtractions in the order presented
left to right
per line
Torus
Ramsey Theory
5. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even
Irrational
Extrinsic View
Cayley's Theorem
Multiplication
6. 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
Fourier Analysis and Synthesis
˜
Principal Curvatures
7. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.
Transfinite
Least Common Multiple (LCM)
repeated addition
a + c = b + c
8. Means approximately equal.
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Multiplicative Inverse:
˜
Euler Characteristic
9. Aka The Osculating Circle - a way to measure the curvature of a line.
Conditional Probability
The inverse of subtraction is addition
Geometry
The Kissing Circle
10. Requirements for Word Problem Solutions.
per line
Euclid's Postulates
a + c = b + c
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
11. Uses second derivatives to relate acceleration in space to acceleration in time.
Hyperbolic Geometry
The Associative Property of Multiplication
Wave Equation
The inverse of multiplication is division
12. If a whole number is not a prime number - then it is called a...
Composite Numbers
Solve the Equation
The Kissing Circle
Multiplication
13. 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).
Discrete
A number is divisible by 3
Frequency
variable
14. If a = b then
Non-Euclidian Geometry
a · c = b · c for c does not equal 0
Aleph-Null
The Distributive Property (Subtraction)
15. 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.
Division is not Commutative
Least Common Multiple (LCM)
Normal Distribution
Fourier Analysis
16. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
Properties of Equality
set
inline
Ramsey Theory
17. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Poincare Disk
Continuous
Irrational
Problem of the Points
18. The study of shape from the perspective of being on the surface of the shape.
Grouping Symbols
The inverse of multiplication is division
Problem of the Points
Intrinsic View
19. A flat map of hyperbolic space.
Division is not Associative
Poincare Disk
Galton Board
The BML Traffic Model
20. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.
Prime Deserts
inline
Continuous
Exponents
21. A topological invariant that relates a surface's vertices - edges - and faces.
Euler Characteristic
Periodic Function
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Hypersphere
22. If its final digit is a 0 or 5.
Greatest Common Factor (GCF)
A number is divisible by 5
Probability
A number is divisible by 3
23. If a = b then
Least Common Multiple (LCM)
a
General Relativity
Division is not Associative
24. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.
Associative Property of Addition:
The Set of Whole Numbers
Solution
Configuration Space
25. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.
Commutative Property of Multiplication:
Markov Chains
Continuous Symmetry
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
26. 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.
Continuous
Cardinality
The inverse of multiplication is division
Multiplicative Identity:
27. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
28. This method can create a flat map from a curved surface while preserving all angles in any features present.
bar graph
Complete Graph
Associative Property of Addition:
Stereographic Projection
29. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'
Divisible
The Prime Number Theorem
Aleph-Null
The Riemann Hypothesis
30. A · 1 = 1 · a = a
Euler Characteristic
bar graph
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.
Multiplicative Identity:
31. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco
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
Unique Factorization Theorem
Hyperbolic Geometry
Look Back
32. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo
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
Pigeonhole Principle
Galois Theory
Poincare Disk
33. The study of shape from an external perspective.
Public Key Encryption
The Same
Axiomatic Systems
Extrinsic View
34. Originally known as analysis situs
Associative Property of Addition:
Intrinsic View
Topology
Law of Large Numbers
35. Is the shortest string that contains all possible permutations of a particular length from a given set.
Division is not Commutative
De Bruijn Sequence
Noether's Theorem
Associative Property of Multiplication:
36. Cannot be written as a ratio of natural numbers.
Irrational
Standard Deviation
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Figurate Numbers
37. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression
each whole number can be uniquely decomposed into products of primes.
Associative Property of Addition:
Rarefactior
Factor Trees
38. The fundamental theorem of arithmetic says that
General Relativity
each whole number can be uniquely decomposed into products of primes.
Primes
bar graph
39. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
does not change the solution set.
Composite Numbers
variable
The Set of Whole Numbers
40. If grouping symbols are nested
Ramsey Theory
set
Unique Factorization Theorem
evaluate the expression in the innermost pair of grouping symbols first.
41. A factor tree is a way to visualize a number's
division
a
Stereographic Projection
prime factors
42. 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.
Hypercube
Commutative Property of Addition:
Unique Factorization Theorem
Group
43. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of
Hypersphere
Genus
Equivalent Equations
perimeter
44. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.
Irrational
Spherical Geometry
The BML Traffic Model
De Bruijn Sequence
45. Mathematical statement that equates two mathematical expressions.
The Prime Number Theorem
Equation
Frequency
General Relativity
46. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in
Answer the Question
A number is divisible by 3
The Prime Number Theorem
set
47. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
The inverse of addition is subtraction
Galois Theory
Probability
Fourier Analysis
48. The system that Euclid used in The Elements
Axiomatic Systems
Geometry
Associative Property of Addition:
Cayley's Theorem
49. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
The Distributive Property (Subtraction)
Overtone
Flat Land
Aleph-Null
50. Index p radicand
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Principal Curvatures
Galton Board
Normal Distribution