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. Uses second derivatives to relate acceleration in space to acceleration in time.
Normal Distribution
Grouping Symbols
Geometry
Wave Equation
2. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
Commutative Property of Multiplication
Non-Euclidian Geometry
Cayley's Theorem
Multiplicative Identity:
3. A + b = b + a
Commutative Property of Addition:
counting numbers
Commutative Property of Multiplication:
Discrete
4. 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
Exponents
Answer the Question
Poincare Disk
Associative Property of Multiplication:
5. Rules for Rounding - To round a number to a particular place - follow these steps:
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Divisible
Genus
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
6. 1. Find the prime factorizations of each number.
Normal Distribution
Frequency
Greatest Common Factor (GCF)
Amplitude
7. If grouping symbols are nested
evaluate the expression in the innermost pair of grouping symbols first.
Primes
Periodic Function
Fourier Analysis and Synthesis
8. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Box Diagram
Transfinite
Commutative Property of Addition:
Solve the Equation
9. 4 more than a certain number is 12
Galton Board
Aleph-Null
4 + x = 12
Additive Identity:
10. The process of taking a complicated signal and breaking it into sine and cosine components.
Commutative Property of Addition:
Exponents
Least Common Multiple (LCM)
Fourier Analysis
11. A topological object that can be used to study the allowable states of a given system.
Configuration Space
Periodic Function
Transfinite
Amplitude
12. 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
A number is divisible by 5
Pigeonhole Principle
Invarient
Galois Theory
13. Multiplication is equivalent to
Exponents
Stereographic Projection
Standard Deviation
repeated addition
14. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab
Composite Numbers
Associate Property of Addition
Set up a Variable Dictionary.
The Commutative Property of Addition
15. ____________ 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
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 addition is subtraction
Symmetry
Probability
16. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Pigeonhole Principle
Equation
Problem of the Points
Cayley's Theorem
17. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is
Properties of Equality
Unique Factorization Theorem
prime factors
The Same
18. The system that Euclid used in The Elements
Flat Land
Pigeonhole Principle
Complete Graph
Axiomatic Systems
19. × - ( )( ) - · - 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
Hamilton Cycle
The Additive Identity Property
Denominator
Multiplication
20. Writing Mathematical equations - arrange your work one equation
per line
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
Principal Curvatures
The Same
21. 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.
Non-Orientability
Solution
1. The unit 2. Prime numbers 3. Composite numbers
Dividing both Sides of an Equation by the Same Quantity
22. 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.
repeated addition
Prime Number
Cardinality
Normal Distribution
23. 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.
Torus
Non-Euclidian Geometry
Solution
Stereographic Projection
24. A factor tree is a way to visualize a number's
Intrinsic View
prime factors
The Set of Whole Numbers
4 + x = 12
25. If its final digit is a 0.
A number is divisible by 10
Prime Deserts
Irrational
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.
26. A(b + c) = a · b + a · c a(b - c) = a · b - a · c
Exponents
Distributive Property:
counting numbers
The inverse of subtraction is addition
27. A + 0 = 0 + a = a
Standard Deviation
inline
The Kissing Circle
Additive Identity:
28. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
Fundamental Theorem of Arithmetic
Figurate Numbers
Frequency
prime factors
29. Index p radicand
Prime Number
Galois Theory
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Topology
30. To describe and extend a numerical pattern
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.
4 + x = 12
The Multiplicative Identity Property
Multiplication
31. 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.
A number is divisible by 9
a · c = b · c for c does not equal 0
Principal Curvatures
repeated addition
32. 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.'
Variable
Cayley's Theorem
Divisible
Multiplication
33. If a - b - and c are any whole numbers - then a
Fundamental Theorem of Arithmetic
The Associative Property of Multiplication
Euclid's Postulates
4 + x = 12
34. A topological invariant that relates a surface's vertices - edges - and faces.
Additive Inverse:
Euler Characteristic
Commutative Property of Multiplication:
Overtone
35. 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
Commutative Property of Multiplication:
Factor Trees
Fourier Analysis and Synthesis
Factor Tree Alternate Approach
36. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Overtone
Primes
Sign Rules for Division
Division is not Commutative
37. Is a symbol (usually a letter) that stands for a value that may vary.
The inverse of multiplication is division
Grouping Symbols
The Prime Number Theorem
Variable
38. Perform all additions and subtractions in the order presented
left to right
does not change the solution set.
Commutative Property of Multiplication:
Standard Deviation
39. 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.
De Bruijn Sequence
Exponents
Set up an Equation
Overtone
40. Has no factors other than 1 and itself
A prime number
Wave Equation
Conditional Probability
Non-Orientability
41. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Irrational
Geometry
A prime number
Divisible
42. A flat map of hyperbolic space.
Poincare Disk
Law of Large Numbers
Countable
each whole number can be uniquely decomposed into products of primes.
43. 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
left to right
Countable
Factor Tree Alternate Approach
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
44. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Associate Property of Addition
inline
The inverse of multiplication is division
Solve the Equation
45. 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
Solution
Euclid's Postulates
Stereographic Projection
Rarefactior
46. 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
47. A way to measure how far away a given individual result is from the average result.
Standard Deviation
Complete Graph
Fundamental Theorem of Arithmetic
Division is not Associative
48. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.
Hyperbolic Geometry
Symmetry
Figurate Numbers
Denominator
49. A graph in which every node is connected to every other node is called a complete graph.
Denominator
Complete Graph
Division is not Commutative
Euler Characteristic
50. Are the fundamental building blocks of arithmetic.
Poincare Disk
bar graph
Primes
Wave Equation