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. Originally known as analysis situs
A number is divisible by 10
Public Key Encryption
Topology
Rational
2. 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
One equal sign per line
Figurate Numbers
Unique Factorization Theorem
Multiplying both Sides of an Equation by the Same Quantity
3. Perform all additions and subtractions in the order presented
A number is divisible by 9
left to right
Commutative Property of Multiplication
Hyperbolic Geometry
4. A
does not change the solution set.
The Commutative Property of Addition
Division is not Commutative
Divisible
5. Writing Mathematical equations - arrange your work one equation
The Set of Whole Numbers
1. Simplify the expression on either side of the equation. 2. Gather the variable term on the left-hand side (LHS) by adding to both sides. the opposite of the variable term on the right-hand side (RHS). Note: either side is fine but we will consiste
per line
Equation
6. 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.
Tone
Look Back
The inverse of multiplication is division
Unique Factorization Theorem
7. 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
Grouping Symbols
General Relativity
Flat Land
Pigeonhole Principle
8. 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.
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.
Exponents
1. The unit 2. Prime numbers 3. Composite numbers
Stereographic Projection
9. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t
A number is divisible by 9
Factor Tree Alternate Approach
Noether's Theorem
The inverse of subtraction is addition
10. A topological object that can be used to study the allowable states of a given system.
Hamilton Cycle
Set up a Variable Dictionary.
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Configuration Space
11. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
12. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Division is not Associative
Equation
Composite Numbers
Figurate Numbers
13. (a + b) + c = a + (b + c)
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Associative Property of Addition:
Central Limit Theorem
Genus
14. If a is any whole number - then a
Exponents
Ramsey Theory
Equation
The Multiplicative Identity Property
15. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Rarefactior
counting numbers
Cardinality
Properties of Equality
16. Positive integers are
Composite Numbers
Intrinsic View
counting numbers
Markov Chains
17. A · 1 = 1 · a = a
A prime number
Multiplication by Zero
1. Simplify the expression on either side of the equation. 2. Gather the variable term on the left-hand side (LHS) by adding to both sides. the opposite of the variable term on the right-hand side (RHS). Note: either side is fine but we will consiste
Multiplicative Identity:
18. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a
Public Key Encryption
The inverse of multiplication is division
The Commutative Property of Addition
Commutative Property of Multiplication:
19. Let a - b - and c be any whole numbers. Then - a
Galois Theory
the set of natural numbers
Exponents
The Distributive Property (Subtraction)
20. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
˜
Torus
Aleph-Null
Hypercube
21. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.
Probability
4 + x = 12
Law of Large Numbers
Bijection
22. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Non-Euclidian Geometry
Hyperbolic Geometry
Continuous
repeated addition
23. 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
Multiplicative Inverse:
The inverse of subtraction is addition
Hamilton Cycle
24. Index p radicand
The Commutative Property of Addition
Permutation
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Public Key Encryption
25. (a
Division is not Associative
Multiplicative Identity:
The Multiplicative Identity Property
a + c = b + c
26. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Hyperland
Comparison Property
does not change the solution set.
27. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Division by Zero
Euclid's Postulates
Box Diagram
a + c = b + c
28. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
29. (a · b) · c = a · (b · c)
evaluate the expression in the innermost pair of grouping symbols first.
A number is divisible by 3
Associative Property of Multiplication:
Topology
30. To describe and extend a numerical pattern
Solve the Equation
A number is divisible by 9
Galois Theory
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.
31. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.
does not change the solution set.
Galton Board
Bijection
Grouping Symbols
32. If a whole number is not a prime number - then it is called a...
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Composite Numbers
Polynomial
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
33. 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
Prime Number
˜
Rarefactior
The Additive Identity Property
34. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
Discrete
a divided by b
Polynomial
Set up an Equation
35. An important part of problem solving is identifying
Dividing both Sides of an Equation by the Same Quantity
Division by Zero
A number is divisible by 10
variable
36. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.
One equal sign per line
Principal Curvatures
Configuration Space
Permutation
37. If a and b are any whole numbers - then a
Commutative Property of Multiplication
Look Back
Spaceland
Division by Zero
38. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.
Ramsey Theory
Principal Curvatures
A number is divisible by 9
Set up an Equation
39. If grouping symbols are nested
A number is divisible by 9
evaluate the expression in the innermost pair of grouping symbols first.
˜
Associative Property of Multiplication:
40. This method can create a flat map from a curved surface while preserving all angles in any features present.
Exponents
A number is divisible by 5
Stereographic Projection
Central Limit Theorem
41. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -
Division by Zero
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.
The inverse of subtraction is addition
Hyperbolic Geometry
42. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Tone
Problem of the Points
Flat Land
perimeter
43. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
In Euclidean four-space
the set of natural numbers
Least Common Multiple (LCM)
Multiplicative Identity:
44. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Poincare Disk
Periodic Function
General Relativity
Look Back
45. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to
The Commutative Property of Addition
perimeter
Probability
The Prime Number Theorem
46. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
Probability
Euler Characteristic
Multiplication
Grouping Symbols
47. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Flat Land
A number is divisible by 10
perimeter
Hypersphere
48. Are the fundamental building blocks of arithmetic.
Discrete
Non-Orientability
Problem of the Points
Primes
49. Aka The Osculating Circle - a way to measure the curvature of a line.
De Bruijn Sequence
Rational
Axiomatic Systems
The Kissing Circle
50. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
Standard Deviation
Expected Value
The Riemann Hypothesis
Distributive Property: